Nathanaël Berestycki

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Nathanaël Berestycki is a French mathematician specializing in probability theory and stochastic processes. His work primarily focuses on topics such as random walks, random graphs, mixing times, and the mathematical study of models from statistical physics.


Berestycki has held academic positions at several prestigious institutions. He was a faculty member in the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge in the United Kingdom. During his time there, he made significant contributions to the understanding of probabilistic models and their applications.


In addition to his research, Nathanaël Berestycki has been involved in teaching and mentoring students in mathematics. His publications and lectures are well-regarded in the mathematical community, and he is known for advancing the field of probability through both theoretical insights and collaborative work.


As of my knowledge cutoff in October 2023, Berestycki continues to be an active researcher and contributor to the field of mathematics.

All published works
Action Title Year Authors
+ Dimers on Riemann surfaces, II: Conformal invariance and scaling limit 2024 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ Dimers on Riemann surfaces I: Temperleyan forests 2024 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ PDF Chat Gaussian free field and Liouville quantum gravity 2024 Nathanaël Berestycki
Ellen Powell
+ PDF Chat Harnack inequality and one-endedness of UST on reversible random graphs 2023 Nathanaël Berestycki
Diederik van Engelenburg
+ PDF Chat Free boundary dimers: random walk representation and scaling limit 2023 Nathanaël Berestycki
Marcin Lis
Wei Qian
+ PDF Chat Equivalence of Liouville measure and Gaussian free field 2023 Nathanaël Berestycki
Scott Sheffield⋆
Xin Sun
+ PDF Chat Multiplicative chaos of the Brownian loop soup 2023 Élie Aïdékon
Nathanaël Berestycki
Antoine Jégo
Titus Lupu
+ PDF Chat Explosive growth for a constrained Hastings–Levitov aggregation model 2023 Nathanaël Berestycki
Vittoria Silvestri
+ Piecewise Temperleyan dimers and a multiple SLE$_8$ 2023 Nathanaël Berestycki
Mingchang Liu
+ Weyl's law in Liouville quantum gravity 2023 Nathanaël Berestycki
Mo Dick Wong
+ Thick points of 4D critical branching Brownian motion 2023 Nathanaël Berestycki
Tom Hutchcroft
Antoine Jégo
+ PDF Chat Random Walks on Mated-CRT Planar Maps and Liouville Brownian Motion 2022 Nathanaël Berestycki
Ewain Gwynne
+ On the universality of fluctuations for the cover time 2022 Nathanaël Berestycki
Jonathan Hermon
Lucas Teyssier
+ Near-critical dimers and massive SLE 2022 Nathanaël Berestycki
Levi Haunschmid-Sibitz
+ Dimers on Riemann surfaces II: conformal invariance and scaling limit 2022 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ PDF Chat Multiplicative chaos of the Brownian loop soup 2021 Élie Aïdékon
Nathanaël Berestycki
Antoine Jégo
Titus Lupu
+ PDF Chat The random walk penalised by its range in dimensions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>d</mml:mi><mml:mo>≥</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math> 2021 Nathanaël Berestycki
Raphaël Cerf
+ PDF Chat (1+𝜀) moments suffice to characterise the GFF 2021 Nathanaël Berestycki
Ellen Powell
Gourab Ray
+ Harnack inequality and one-endedness of UST on reversible random graphs 2021 Nathanaël Berestycki
Diederik van Engelenburg
+ Multiplicative chaos of the Brownian loop soup 2021 Élie Aïdékon
Nathanaël Berestycki
Antoine Jégo
Titus Lupu
+ Explosive growth for a constrained Hastings-Levitov aggregation model 2021 Nathanaël Berestycki
Vittoria Silvestri
+ PDF Chat Dimers and imaginary geometry 2020 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ $(1+\varepsilon)$-moments suffice to characterise the GFF 2020 Nathanaël Berestycki
Ellen Powell
Gourab Ray
+ Random walks on mated-CRT planar maps and Liouville Brownian motion 2020 Nathanaël Berestycki
Ewain Gwynne
+ The dimer model on Riemann surfaces, I 2019 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ PDF Chat A characterisation of the Gaussian free field 2019 Nathanaël Berestycki
Ellen Powell
Gourab Ray
+ PDF Chat Condensation of a self-attracting random walk 2019 Nathanaël Berestycki
Ariel Yadin
+ A note on dimers and T-graphs 2019 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ PDF Chat DIMERS AND IMAGINARY GEOMETRY 2019 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ Dimers on Riemann surfaces I: Temperleyan forests 2019 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ The Rohde--Schramm theorem, via the Gaussian free field 2018 Nathanaël Berestycki
Henry Jackson
+ PDF Chat The Rohde–Schramm theorem via the Gaussian free field 2018 Nathanaël Berestycki
Henry Jackson
+ PDF Chat Cutoff for conjugacy-invariant random walks on the permutation group 2018 Nathanaël Berestycki
Batı Şengül
+ PDF Chat The shape of multidimensional Brunet–Derrida particle systems 2018 Nathanaël Berestycki
Lee Zhuo Zhao
+ Random Hermitian matrices and Gaussian multiplicative chaos 2018 Nathanaël Berestycki
Christian Webb
Mo Dick Wong
+ The random walk penalised by its range in dimensions $d\geq 3$ 2018 Nathanaël Berestycki
Raphaël Cerf
+ Random walks on the random graph 2018 Nathanaël Berestycki
Eyal Lubetzky
Yuval Peres
Allan Sly
+ PDF Chat Random walks on the random graph 2018 Nathanaël Berestycki
Eyal Lubetzky
Yuval Peres
Allan Sly
+ PDF Chat Random Hermitian matrices and Gaussian multiplicative chaos 2017 Nathanaël Berestycki
Christian Webb
Mo Dick Wong
+ PDF Chat Critical Exponents on Fortuin–Kasteleyn Weighted Planar Maps 2017 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ An elementary approach to Gaussian multiplicative chaos 2017 Nathanaël Berestycki
+ The Rohde--Schramm theorem, via the Gaussian free field 2017 Nathanaël Berestycki
Henry J. Jackson
+ Random Hermitian Matrices and Gaussian Multiplicative Chaos 2017 Nathanaël Berestycki
Christian A. Webb
Mo Dick Wong
+ A note on dimers and T-graphs 2016 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ PDF Chat KPZ formula derived from Liouville heat kernel 2016 Nathanaël Berestycki
Christophe Garban
Rémi Rhodes
Vincent Vargas
+ Universality of fluctutations in the dimer model 2016 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ Dimers and Imaginary geometry 2016 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ A note on dimers and T-graphs 2016 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ Existence of self-accelerating fronts for a non-local reaction-diffusion equations 2015 Nathanaël Berestycki
Clément Mouhot
Gaël Raoul
+ PDF Chat Coalescing Brownian flows: A new approach 2015 Nathanaël Berestycki
Christophe Garban
Arnab Sen
+ PDF Chat Critical branching Brownian motion with absorption: Particle configurations 2015 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
+ PDF Chat Diffusion in planar Liouville quantum gravity 2015 Nathanaël Berestycki
+ An elementary approach to Gaussian multiplicative chaos 2015 Nathanaël Berestycki
+ Critical exponents on Fortuin--Kasteleyn weighted planar maps 2015 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ PDF Chat Cycle structure of the interchange process and representation theory 2015 Nathanaël Berestycki
Gady Kozma
+ Random walks on the random graph 2015 Nathanaël Berestycki
Eyal Lubetzky
Yuval Peres
Allan Sly
+ Critical exponents on Fortuin--Kasteleyn weighted planar maps 2015 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
+ An elementary approach to Gaussian multiplicative chaos 2015 Nathanaël Berestycki
+ Existence of self-accelerating fronts for a non-local reaction-diffusion equations 2015 Nathanaël Berestycki
Clément Mouhot
G. Raoul
+ Liouville quantum gravity and the Gaussian free field 2014 Nathanaël Berestycki
Xin Sun
Scott Sheffield⋆
+ Cutoff for conjugacy-invariant random walks on the permutation group 2014 Nathanaël Berestycki
Batı Şengül
+ Liouville Brownian motion 2014 Nathanaël Berestycki
+ PDF Chat Asymptotic sampling formulae for $\varLambda$-coalescents 2014 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ PDF Chat Galton–Watson Trees with Vanishing Martingale Limit 2014 Nathanaël Berestycki
Nina Gantert
Peter Mörters
Nadia Sidorova
+ Extremes in Branching Random Walk and Branching Brownian Motion 2014 Louigi Addario‐Berry
Nathanaël Berestycki
Nina Gantert
+ PDF Chat A small-time coupling between $\Lambda$-coalescents and branching processes 2014 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ Equivalence of Liouville measure and Gaussian free field 2014 Nathanaël Berestycki
Scott Sheffield⋆
Xin Sun
+ Cutoff for conjugacy-invariant random walks on the permutation group 2014 Nathanaël Berestycki
Batı Şengül
+ Springer briefs in mathematical physics 2014 Nathanaël Berestycki
Mihalis Dafermos
徹 江口
敦夫 国場
Matilde Marcolli
Bruno Nachtergaele
+ PDF Chat Critical branching Brownian motion with absorption: survival probability 2013 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
+ Condensation of random walks and the Wulff crystal 2013 Nathanaël Berestycki
Ariel Yadin
+ The shape of multidimensional Brunet--Derrida particle systems 2013 Nathanaël Berestycki
Lee Zhuo Zhao
+ PDF Chat Large scale behaviour of the spatial $\varLambda$-Fleming–Viot process 2013 Nathanaël Berestycki
Alison Etheridge
Amandine Véber
+ The genealogy of branching Brownian motion with absorption 2013 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
+ Diffusion in planar Liouville quantum gravity 2013 Nathanaël Berestycki
+ The shape of multidimensional Brunet--Derrida particle systems 2013 Nathanaël Berestycki
Lee Zhuo Zhao
+ Condensation of random walks and the Wulff crystal 2013 Nathanaël Berestycki
Ariel Yadin
+ Diffusion in planar Liouville quantum gravity 2013 Nathanaël Berestycki
+ PDF Chat Effect of scale on long-range random graphs and chromosomal inversions 2012 Nathanaël Berestycki
Richard Pymar
+ Cycle structure of the interchange process and representation theory 2012 Nathanaël Berestycki
Gady Kozma
+ Galton-Watson trees with vanishing martingale limit 2012 Nathanaël Berestycki
Nina Gantert
Peter Mörters
Nadia Sidorova
+ Asymptotic sampling formulae for Lambda-coalescents 2012 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ PDF Chat Asymptotic sampling formulae for Lambda-coalescents 2012 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ Galton-Watson trees with vanishing martingale limit 2012 Nathanaël Berestycki
Nina Gantert
Peter Mörters
Nadia Sidorova
+ Cycle structure of the interchange process and representation theory 2012 Nathanaël Berestycki
Gady Kozma
+ Asymptotic sampling formulae for Lambda-coalescents 2012 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ Critical branching Brownian motion with absorption: particle configurations 2012 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
+ PDF Chat Mixing times for random k-cycles and coalescence-fragmentation chains 2011 Nathanaël Berestycki
Oded Schramm
Ofer Zeitouni
+ PDF Chat Survival of Near-Critical Branching Brownian Motion 2011 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
+ PDF Chat An integral test for the transience of a Brownian path with limited local time 2011 Itaı Benjamini
Nathanaël Berestycki
+ Asymptotic sampling formulae and particle system representations for $\Lambda$-coalescents 2011 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ PDF Chat Emergence of Giant Cycles and Slowdown Transition in Random Transpositions and $k$-Cycles 2011 Nathanaël Berestycki
+ PDF Chat Global divergence of spatial coalescents 2010 Omer Angel
Nathanaël Berestycki
Vlada Limic
+ PDF Chat Random paths with bounded local time 2010 Itaı Benjamini
Nathanaël Berestycki
+ Emergence of giant cycles and slowdown transition in random transpositions and $k$-cycles 2010 Nathanaël Berestycki
+ A conditioning principle for Galton-Watson trees 2010 Nathanaël Berestycki
Peter Mörters
Nadia Sidorova
+ PDF Chat The Λ-coalescent speed of coming down from infinity 2010 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ Emergence of giant cycles and slowdown transition in random transpositions and $k$-cycles 2010 Nathanaël Berestycki
+ Global divergence of spatial coalescents 2009 Omer Angel
Nathanaël Berestycki
Vlada Limic
+ Recent progress in coalescent theory 2009 Nathanaël Berestycki
+ Kingman's coalescent and Brownian motion 2009 Julien Berestycki
Nathanaël Berestycki
+ Recent progress in coalescent theory 2009 Nathanaël Berestycki
+ Global divergence of spatial coalescents 2009 Omer Angel
Nathanaël Berestycki
Vlada Limic
+ The $\Lambda$-coalescent speed of coming down from infinity 2008 Julien Berestycki
Nathanaël Berestycki
Vlada Limic
+ A double phase transition arising from Brownian entropic repulsion 2008 Itaı Benjamini
Nathanaël Berestycki
+ Brownian Entropic Repulsion 2008 Itaı Benjamini
Nathanaël Berestycki
+ PDF Chat Small-time behavior of beta coalescents 2008 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
+ An integral test for the transience of a Brownian path with limited local time 2008 Itaı Benjamini
Nathanaël Berestycki
+ PDF Chat Limiting behavior for the distance of a random walk 2008 Nathanaël Berestycki
Rick Durrett
+ Random paths with bounded local time 2008 Itaı Benjamini
Nathanaël Berestycki
+ PDF Chat Beta-coalescents and continuous stable random trees 2007 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
+ Gibbs Distributions for Random Partitions Generated by a Fragmentation Process 2007 Nathanaël Berestycki
Jim Pitman
+ PDF Chat The hyperbolic geometry of random transpositions 2006 Nathanaël Berestycki
+ Limiting behavior of the distance of a random walk 2006 Nathanaël Berestycki
Rick Durrett
+ PDF Chat A phase transition in the random transposition random walk 2005 Nathanaël Berestycki
Rick Durrett
+ Gibbs distributions for random partitions generated by a fragmentation process 2005 Nathanaël Berestycki
Jim Pitman
+ A phase transition in the random transposition random walk 2004 Nathanaël Berestycki
Rick Durrett
+ PDF Chat A phase transition in the random transposition random walk 2003 Nathanaël Berestycki
Rick Durrett
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Liouville quantum gravity and KPZ 2010 Bertrand Duplantier
Scott Sheffield⋆
15
+ Probability: Theory and Examples. 1992 Kathryn Prewitt
Richard Durrett
14
+ PDF Chat Coalescents With Multiple Collisions 1999 Jim Pitman
14
+ The general coalescent with asynchronous mergers of ancestral lines 1999 Serik Sagitov
12
+ Conformal weldings of random surfaces: SLE and the quantum gravity zipper 2016 Scott Sheffield⋆
11
+ PDF Chat A phase transition in the random transposition random walk 2005 Nathanaël Berestycki
Rick Durrett
10
+ PDF Chat Beta-coalescents and continuous stable random trees 2007 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
10
+ PDF Chat Particle Representations for Measure-Valued Population Models 1999 Peter Donnelly
Thomas G. Kurtz
10
+ PDF Chat Small-time behavior of beta coalescents 2008 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
10
+ Probability on Trees and Networks 2016 Russell Lyons
Yuval Peres
10
+ Recent progress in coalescent theory 2009 Nathanaël Berestycki
9
+ PDF Chat Dominos and the Gaussian Free Field 2001 Richard Kenyon
9
+ PDF Chat Coalescents With Multiple Collisions 1999 Jim Pitman
9
+ PDF Chat Diffusion in planar Liouville quantum gravity 2015 Nathanaël Berestycki
9
+ Logarithmic Combinatorial Structures: A Probabilistic Approach 2003 Richard Arratia
A. D. Barbour
Simon Tavaré
9
+ Quantum gravity and the KPZ formula 2012 Christophe Garban
9
+ PDF Chat Stochastic flows associated to coalescent processes. III. Limit theorems 2006 Jean Bertoin
Jean‐François Le Gall
9
+ PDF Chat Gaussian free fields for mathematicians 2007 Scott Sheffield⋆
9
+ PDF Chat Stochastic flows associated to coalescent processes 2003 Jean Bertoin
Jean-Françcois Le Gall
9
+ PDF Chat Scaling limits of loop-erased random walks and uniform spanning trees 2000 Oded Schramm
8
+ PDF Chat Liouville Brownian motion 2016 Christophe Garban
Rémi Rhodes
Vincent Vargas
8
+ PDF Chat Dimers and imaginary geometry 2020 Nathanaël Berestycki
Benoît Laslier
Gourab Ray
8
+ The genealogy of branching Brownian motion with absorption 2013 Julien Berestycki
Nathanaël Berestycki
Jason Schweinsberg
7
+ PDF Chat Alpha-Stable Branching and Beta-Coalescents 2005 Matthias Birkner
Jochen Blath
Marcella Capaldo
Alison Etheridge
Martin Möhle
Jason Schweinsberg
Anton Wakolbinger
7
+ PDF Chat Random Walk: A Modern Introduction 2010 Gregory F. Lawler
Vlada Limic
7
+ PDF Chat Deterministic and Stochastic Models for Coalescence (Aggregation and Coagulation): A Review of the Mean-Field Theory for Probabilists 1999 David Aldous
7
+ PDF Chat Quantum Loewner evolution 2016 Jason Miller
Scott Sheffield⋆
7
+ PDF Chat Combinatorial Stochastic Processes 2006 Jim Pitman
Jean Picard
7
+ PDF Chat Gaussian multiplicative chaos and applications: A review 2014 Rémi Rhodes
Vincent Vargas
7
+ The Bolthausen–Sznitman coalescent and the genealogy of continuous-state branching processes 2000 Jean Bertoin
Jean‐François Le Gall
7
+ PDF Chat The Limit of a Sequence of Branching Processes 1967 John Lamperti
7
+ PDF Chat Effect of selection on ancestry: An exactly soluble case and its phenomenological generalization 2007 Éric Brunet
Bernard Derrida
A.H. Mueller
S. Munier
7
+ PDF Chat Random paths with bounded local time 2010 Itaı Benjamini
Nathanaël Berestycki
7
+ PDF Chat Entropic Repulsion and the Maximum of the two-dimensional harmonic 2001 Erwin Bolthausen
Jean‐Dominique Deuschel
Giambattista Giacomin
7
+ An elementary approach to Gaussian multiplicative chaos 2017 Nathanaël Berestycki
6
+ PDF Chat A Necessary and Sufficient Condition for the $\Lambda$-Coalescent to Come Down from Infinity. 2000 Jason Schweinsberg
6
+ PDF Chat The hyperbolic geometry of random transpositions 2006 Nathanaël Berestycki
6
+ PDF Chat Continuous state branching processes 1967 John Lamperti
6
+ Coalescent processes obtained from supercritical Galton–Watson processes 2003 Jason Schweinsberg
6
+ PDF Chat Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees 2017 Jason Miller
Scott Sheffield⋆
6
+ Liouville quantum gravity as a mating of trees 2014 Bertrand Duplantier
Jason Miller
Scott Sheffield⋆
6
+ PDF Chat Global divergence of spatial coalescents 2010 Omer Angel
Nathanaël Berestycki
Vlada Limic
6
+ Group representations in probability and statistics 1988 Persi Diaconis
6
+ PDF Chat Liouville Quantum Gravity on the Riemann Sphere 2016 François David
A. Kupiainen
Rémi Rhodes
Vincent Vargas
6
+ PDF Chat Survival probabilities for branching Brownian motion with absorption 2007 John Harris
Simon C. Harris
6
+ Markov Processes: Characterization and Convergence. 1987 Andris Abakuks
S. N. Ethier
Thomas G. Kurtz
6
+ PDF Chat Thick points of the Gaussian free field 2010 Xiao‐Yu Hu
Jason Miller
Yuval Peres
6
+ Random graph dynamics 2007 Richard Durrett
5
+ PDF Chat Thick points for planar Brownian motion and the Erdős-Taylor conjecture on random walk 2001 Amir Dembo
Yuval Peres
Jay Rosen
Ofer Zeitouni
5
+ Interacting Particle Systems 2016 Thomas M. Liggett
5