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Recurrence and transience of the critical random walk snake in random conductances
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2025
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Alexandre Legrand
Christophe Sabot
Bruno Schapira
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Branching random walks and Minkowski sum of random walks
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2024
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Amine Asselah
Izumi Okada
Bruno Schapira
Perla Sousi
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A localisation phase transition for the catalytic branching random walk
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2024
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Cécile Mailler
Bruno Schapira
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Time spent in a ball by a critical branching random walk
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2024
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Amine Asselah
Bruno Schapira
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Branching capacity of a random walk range
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2024
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Bruno Schapira
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Sharp estimates for distinguished random walks on affine buildings of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e57" altimg="si3.svg"><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>˜</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mspace width="0.7113pt"/><mml:mi>r</mml:mi></mml:mrow></mml:msub></mml:math>
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2024
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Jean-Philippe Anker
Bruno Schapira
Bartosz Trojan
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PDF
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Catalan percolation
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2024
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Eleanor Archer
Ivailo Hartarsky
Brett Kolesnik
Sam Olesker-Taylor
Bruno Schapira
Daniel Valesin
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PDF
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Extracting subsets maximizing capacity and folding of random walks
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2024
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Amine Asselah
Bruno Schapira
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On the intersection of critical percolation clusters and other tree-like random graphs
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2024
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Amine Asselah
Bruno Schapira
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PDF
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On the first and second largest connected component in the percolated random geometric graph
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2023
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Lyuben Lichev
Bas Lodewijks
Dieter Mitsche
Bruno Schapira
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On the first and second largest components in the percolated random geometric graph
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2023
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Lyuben Lichev
Bas Lodewijks
Dieter Mitsche
Bruno Schapira
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Branching capacity of a random walk range
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2023
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Bruno Schapira
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Local times and capacity for transient branching random walks
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2023
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Amine Asselah
Bruno Schapira
Perla Sousi
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Branching random walks and Minkowski sum of random walks
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2023
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Amine Asselah
Izumi Okada
Bruno Schapira
Perla Sousi
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The contact process on dynamic regular graphs: monotonicity and subcritical phase
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2023
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Bruno Schapira
Daniel Valesin
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PDF
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The contact process on dynamic regular graphs: monotonicity and subcritical phase
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2023
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Bruno Schapira
Daniel Valesin
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Sharp estimates for distinguished random walks on affine buildings of type Ar
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2023
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Jean-Philippe Anker
Bruno Schapira
Bartosz Trojan
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PDF
Chat
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Bernoulli percolation on the Random Geometric Graph
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2022
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Lyuben Lichev
Bas Lodewijks
Dieter Mitsche
Bruno Schapira
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PDF
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Color-avoiding percolation on the Erdős-Rényi random graph
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2022
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Lyuben Lichev
Bruno Schapira
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PDF
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Finding geodesics on graphs using reinforcement learning
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2022
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Daniel Kious
Cécile Mailler
Bruno Schapira
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PDF
Chat
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Large Deviations for Intersections of Random Walks
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2022
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Asselah Asselah
Bruno Schapira
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PDF
Chat
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The trace-reinforced ants process does not find shortest paths
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2022
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Daniel Kious
Cécile Mailler
Bruno Schapira
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Diffusive bounds for the critical density of activated random walks
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2022
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Amine Asselah
Leonardo T. Rolla
Bruno Schapira
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Time spent in a ball by a critical branching random walk
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2022
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Amine Asselah
Bruno Schapira
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On the first and second largest components in the percolated Random Geometric Graph
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2022
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Lyuben Lichev
Bas Lodewijks
Dieter Mitsche
Bruno Schapira
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PDF
Chat
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The trace-reinforced ants process does not find shortest paths
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2022
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Daniel Kious
Cécile Mailler
Bruno Schapira
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Color-avoiding percolation on the Erdős-Rényi random graph
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2022
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Lyuben Lichev
Bruno Schapira
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PDF
Chat
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Exponential rate for the contact process extinction time
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2021
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Bruno Schapira
Daniel Valesin
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Once reinforced random walk on Z×Γ
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2021
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Daniel Kious
Bruno Schapira
Arvind Singh
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Localization on 5 sites for vertex reinforced random walks: Towards a characterization
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2021
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Bruno Schapira
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The two regimes of moderate deviations for the range of a transient walk
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2021
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Amine Asselah
Bruno Schapira
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PDF
Chat
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The contact process on random hyperbolic graphs: Metastability and critical exponents
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2021
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Amitai Linker
Dieter Mitsche
Bruno Schapira
Daniel Valesin
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PDF
Chat
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Extracting subsets maximizing capacity and folding of random walks
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2021
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Amine Asselah
Bruno Schapira
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DOWNLOAD PAPER SAVE TO MY LIBRARY Localization on 5 sites for vertex reinforced random walks: Towards a characterization
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2021
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Bruno Schapira
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The trace-reinforced ants process does not find shortest paths
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2021
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Daniel Kious
Cécile Mailler
Bruno Schapira
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PDF
Chat
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Capacity of the range in dimension $5$
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2020
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Bruno Schapira
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PDF
Chat
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Capacity of the range in dimension 5
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2020
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Bruno Schapira
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PDF
Chat
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On the nature of the Swiss cheese in dimension $3$
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2020
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Amine Asselah
Bruno Schapira
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Deviations for the capacity of the range of a random walk
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2020
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Amine Asselah
Bruno Schapira
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Moderate deviations for the range of a transient random walk. II
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2019
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Amine Asselah
Bruno Schapira
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PDF
Chat
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Capacity of the range of random walk on $\mathbb{Z}^{4}$
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2019
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Amine Asselah
Bruno Schapira
Perla Sousi
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Capacity of the range in dimension 5
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2019
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Bruno Schapira
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Moderate deviations for the range of a transient random walk. II
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2019
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Amine Asselah
Bruno Schapira
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Diffusive bounds for the critical density of activated random walks
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2019
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Amine Asselah
Leonardo T. Rolla
Bruno Schapira
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Capacity of the range in dimension 5
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2019
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Bruno Schapira
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PDF
Chat
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Once reinforced random walk on Z × Γ
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2018
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Daniel Kious
Bruno Schapira
Arvind Singh
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PDF
Chat
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Once reinforced random walk on Z × Γ
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2018
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Daniel Kious
Bruno Schapira
Arvind Singh
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Once reinforced random walk on $\mathbb{Z}\times \Gamma$
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2018
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Daniel Kious
Bruno Schapira
Arvind Singh
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Deviations for the Capacity of the Range of a Random Walk
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2018
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Amine Asselah
Bruno Schapira
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On the nature of the Swiss cheese in dimension 3.
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2018
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Amine Asselah
Bruno Schapira
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PDF
Chat
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Strong law of large numbers for the capacity of the Wiener sausage in dimension four
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2018
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Amine Asselah
Bruno Schapira
Perla Sousi
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Deviations for the Capacity of the Range of a Random Walk
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2018
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Amine Asselah
Bruno Schapira
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On the nature of the Swiss cheese in dimension 3
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2018
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Amine Asselah
Bruno Schapira
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Once reinforced random walk on $\mathbb{Z}\times Γ$
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2018
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Daniel Kious
Bruno Schapira
Arvind Singh
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Capacity of the range of random walk on $\mathbb {Z}^d$
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2017
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Amine Asselah
Bruno Schapira
Perla Sousi
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Moderate deviations for the range of a transient random walk: path concentration
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2017
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Amine Asselah
Bruno Schapira
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PDF
Chat
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Moderate deviations for the range of a transient random walk: path concentration.
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2017
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Amine Asselah
Bruno Schapira
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PDF
Chat
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Capacity of the range of random walk on $\mathbb Z^4$
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2016
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Amine Asselah
Bruno Schapira
Perla Sousi
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PDF
Chat
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Extinction time for the contact process on general graphs
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2016
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Bruno Schapira
Daniel Valesin
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Martingale defocusing and transience of a self-interacting random walk
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2016
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Yuval Peres
Bruno Schapira
Perla Sousi
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PDF
Chat
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Boundary of the range of transient random walk
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2016
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Amine Asselah
Bruno Schapira
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Capacity of the range of random walk on $\mathbb{Z}^d$
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2016
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Amine Asselah
Bruno Schapira
Perla Sousi
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Boundary of the Range II: Lower Tails
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2016
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Amine Asselah
Bruno Schapira
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Capacity of the range of random walk on $\mathbb{Z}^4$
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2016
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Amine Asselah
Bruno Schapira
Perla Sousi
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Capacity of the range of random walk on $\mathbb{Z}^d$
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2016
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Amine Asselah
Bruno Schapira
Perla Sousi
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Extinction time for the contact process on general graphs
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2015
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Bruno Schapira
Daniel Valesin
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Boundary of the Range I: Typical Behavior
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2015
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Amine Asselah
Bruno Schapira
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Boundary of the Range of Transient Random Walk
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2015
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Amine Asselah
Bruno Schapira
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PDF
Chat
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Metastability for the contact process on the configuration model with infinite mean degree
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2015
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Van Hao Can
Bruno Schapira
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Boundary of the Range of Transient Random Walk
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2015
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Amine Asselah
Bruno Schapira
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Extinction time for the contact process on general graphs
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2015
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Bruno Schapira
Daniel Valesin
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On the local time of random processes in random scenery
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2014
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Fabienne Castell
Nadine Guillotin‐Plantard
Françoise Pène
Bruno Schapira
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Martingale defocusing and transience of a self-interacting random walk
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2014
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Yuval Peres
Bruno Schapira
Perla Sousi
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Localization on 4 sites for vertex-reinforced random walks on $\mathbb{Z}$
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2014
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Anne-Laure Basdevant
Bruno Schapira
Arvind Singh
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Metastability for the contact process on the configuration model with infinite mean degree
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2014
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Van Hao Can
Bruno Schapira
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+
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Martingale defocusing and transience of a self-interacting random walk
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2014
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Yuval Peres
Bruno Schapira
Perla Sousi
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+
PDF
Chat
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The quenched limiting distributions of a one-dimensional random walk in random scenery.
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2013
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Nadine Guillotin‐Plantard
Yueyun Hu
Bruno Schapira
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PDF
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Localization of a vertex reinforced random walk on $$\mathbb{Z }$$ with sub-linear weight
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2013
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Anne-Laure Basdevant
Bruno Schapira
Arvind Singh
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PDF
Chat
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The quenched limiting distributions of a one-dimensional random walk in random scenery
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2013
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Nadine Guillotin‐Plantard
Yueyun Hu
Bruno Schapira
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PDF
Chat
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On the one-sided exit problem for stable processes in random scenery
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2013
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Fabienne Castell
Nadine Guillotin‐Plantard
Françoise Pène
Bruno Schapira
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PDF
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Strongly Vertex-Reinforced-Random-Walk on a complete graph
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2013
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Michel Benaı̈m
Olivier Raimond
Bruno Schapira
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The quenched limiting distributions of a one-dimensional random walk in random scenery
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2013
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Nadine Guillotin‐Plantard
Yueyun Hu
Bruno Schapira
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PDF
Chat
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Localization on $4$ sites for Vertex-reinforced random walks on $\mathbb Z$.
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2012
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Anne-Laure Basdevant
Bruno Schapira
Arvind Singh
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Localization of a vertex reinforced random walks on $\Z$ with sub-linear weights
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2012
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Anne-Laure Basdevant
Bruno Schapira
Arvind Singh
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PDF
Chat
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A $0-1$ law for vertex-reinforced random walks on $\mathbb{Z}$ with weight of order $k^\alpha$, $\alpha<1/2$.
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2012
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Bruno Schapira
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PDF
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A $0$-$1$ law for vertex-reinforced random walks on $\mathbb{Z}$ with weight of order $k^\alpha$, $\alpha\in[0,1/2)$
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2012
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Bruno Schapira
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Strongly Vertex-Reinforced-Random-Walk on the complete graph
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2012
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Michel Benaı̈m
Olivier Raimond
Bruno Schapira
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PDF
Chat
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A local limit theorem for random walks in random scenery and on randomly oriented lattices
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2011
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Fabienne Castell
Nadine Guillotin‐Plantard
Françoise Pène
Bruno Schapira
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Poisson boundary of GL d (ℚ)
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2011
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Sara Brofferio
Bruno Schapira
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PDF
Chat
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Excited Brownian motions as limits of excited random walks
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2011
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Olivier Raimond
Bruno Schapira
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A 0-1 law for vertex-reinforced random walks on $\mathbb{Z}$ with weight of order $k^\alpha$, $\alpha<1/2$
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2011
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Bruno Schapira
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PDF
Chat
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A balanced excited random walk
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2011
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Itaı Benjamini
Gady Kozma
Bruno Schapira
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PDF
Chat
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Windings of planar random walks and averaged Dehn function
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2011
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Bruno Schapira
Robert M. Young
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PDF
Chat
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Internal DLA generated by cookie random walks on $\mathbb{Z}$
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2011
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Olivier Raimond
Bruno Schapira
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Internal DLA generated by cookie random walks on $\mathbb{Z}$
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2011
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Olivier Raimond
Bruno Schapira
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+
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A Local Limit Theorem for Random Walks on the Chambers of Ã2 Buildings
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2011
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James Parkinson
Bruno Schapira
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PDF
Chat
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A local limit theorem for random walks on the chambers of $\tilde A_2$ buildings
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2011
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James Parkinson
Bruno Schapira
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Excited Brownian Motions
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2010
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Olivier Raimond
Bruno Schapira
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PDF
Chat
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A balanced excited random walk
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2010
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Itaı Benjamini
Gady Kozma
Bruno Schapira
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+
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A local limit theorem for random walks in random scenery and on randomly oriented lattices
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2010
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Fabienne Castell
Nadine Guillotin‐Plantard
Françoise Pène
Bruno Schapira
|
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+
PDF
Chat
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Random walks with occasionally modified transition probabilities
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2010
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Olivier Raimond
Bruno Schapira
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+
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A local limit theorem for random walks in random scenery and on randomly oriented lattices
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2010
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Fabienne Castell
Nadine Guillotin‐Plantard
Françoise Pène
Bruno Schapira
|
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+
PDF
Chat
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Poisson boundary of $GL_d(\Q)$
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2009
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Sara Brofferio
Bruno Schapira
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+
PDF
Chat
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Poisson boundary of $GL_d(\Q)$
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2009
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Sara Brofferio
Bruno Schapira
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+
PDF
Chat
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Poisson boundary of $GL_d(\Q)$
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2009
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Sara Brofferio
Bruno Schapira
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PDF
Chat
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Poisson boundary of $GL_d(\Q)$
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2009
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Sara Brofferio
Bruno Schapira
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+
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Poisson boundary of $GL_d(\Q)$
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2009
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Sara Brofferio
Bruno Schapira
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+
PDF
Chat
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Random walk on a building of type $\tilde{A}_r$ and Brownian motion of the Weyl chamber
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2009
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Bruno Schapira
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PDF
Chat
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Random walk on a building of type Ãr and Brownian motion of the Weyl chamber
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2009
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Bruno Schapira
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PDF
Chat
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Bounded Harmonic Functions for the Heckman-Opdam Laplacian
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2009
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Bruno Schapira
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PDF
Chat
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Poisson boundary of triangular matrices in a number field
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2009
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Bruno Schapira
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PDF
Chat
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On some generalized reinforced random walk on integers
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2009
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Olivier Raimond
Bruno Schapira
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A local limit theorem for random walks on the chambers of $\tilde{A}_2$ buildings
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2009
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James Parkinson
Bruno Schapira
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+
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Poisson boundary of $GL_d(\Q)$
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2009
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Sara Brofferio
Bruno Schapira
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+
PDF
Chat
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Bounded harmonic functions for the Heckman--Opdam Laplacian
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2008
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Bruno Schapira
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PDF
Chat
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The Poisson boundary of triangular matrices in a number field
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2008
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Bruno Schapira
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PDF
Chat
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Contributions to the Hypergeometric Function Theory of Heckman and Opdam: Sharp Estimates, Schwartz Space, Heat Kernel
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2008
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Bruno Schapira
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A note on multi-type cookie random walk on integers
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2008
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Bruno Schapira
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+
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On some generalized reinforced random walks on integers
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2008
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Olivier Raimond
Bruno Schapira
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Excited Brownian Motions
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2008
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Olivier Raimond
Bruno Schapira
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Marche aléatoire sur un immeuble affine de type $\tilde{A}_r$ et mouvement brownien de la chambre de Weyl
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2007
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Bruno Schapira
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Etude analytique et probabiliste de laplaciens associés à des systèmes de racines : laplacien hypergéométrique de Heckman-Opdam et laplacien combinatoire sur les immeubles affines
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2006
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Bruno Schapira
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PDF
Chat
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Analytical and probabilistic study of<br />Laplacians associated with root systems: hypergeometric Laplacian<br />of Heckman--Opdam and combinatorial Laplacian on affine buildings
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2006
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Bruno Schapira
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PDF
Chat
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The Heckman–Opdam Markov processes
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2006
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Bruno Schapira
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The Heckman-Opdam Markov processes
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2006
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Bruno Schapira
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Random walk on a building of type $\tilde{A}_r$ and Brownian motion of the Weyl chamber
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2006
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Bruno Schapira
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Contributions to the hypergeometric function theory of Heckman and Opdam: sharp estimates, Schwartz space, heat kernel
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2006
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Bruno Schapira
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Heat kernel and Green function estimates on affine buildings of type $\tilde{A}_r$
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2006
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Jean-Philippe Anker
Bruno Schapira
Bartosz Trojan
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