Mathematics â€ș Mathematical Physics

Stochastic processes and statistical mechanics

Description

This cluster of papers explores the scaling limits, conformal invariance, and nonequilibrium statistical mechanics of interacting particle systems, including random walks, percolation models, coalescent processes, and branching processes. It also delves into the properties of Gaussian free fields and stochastic Loewner evolution.

Keywords

Scaling Limits; Interacting Particle Systems; Conformal Invariance; Nonequilibrium Statistical Mechanics; Random Walks; Percolation Models; Coalescent Processes; Gaussian Free Fields; Branching Processes; Stochastic Loewner Evolution

Most Cited Works

Action Title Date Authors
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Conformal field theory 2024-07-18 Philippe Di Francesco Pierre Mathieu David Sénéchal
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Interacting Particle Systems 2016-11-30 Thomas M. Liggett
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Multidimensional Diffusion Processes 1997-01-01 Daniel W. Stroock S. R. Srinivasa Varadhan
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Delay differential equations with applications in population dynamics 1993-11-01 Yang Kuang
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Large Scale Dynamics of Interacting Particles 1991-01-01 Herbert Spohn
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Cases in which Parsimony or Compatibility Methods will be Positively Misleading 1978-12-01 Joe Felsenstein
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Collective Monte Carlo Updating for Spin Systems 1989-01-23 Ulli Wolff
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On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other 1947-03-01 H. B. Mann Douglas R. Whitney
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Nonmetric multidimensional scaling: A numerical method 1964-06-01 Joseph B. Kruskal
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<i>Fractal Concepts in Surface Growth</i> 1995-10-01 Albert‐László Barabási H. Eugene Stanley Leonard M. Sander
Density of states on fractals : « fractons » 1982-01-01 S. Alexander R. Orbach
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Random Walks on Lattices. II 1965-02-01 Elliott W. Montroll George H. Weiss
An Adaptive Metropolis Algorithm 2001-04-01 Heikki Haario Eero Saksman J. Tamminen
Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States 2001-03-05 Fugao Wang D. P. Landau
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Statistical Ecology: A Primer on Methods and Computing. 1989-12-01 D. D. French J. A. Ludwig James F. Reynolds
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A Theory of Cooperative Phenomena 1951-03-15 Ryoichi Kikuchi
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Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models 1966-11-28 N. David Mermin Hermann‐Josef Wagner
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Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model 1952-08-01 T. D. Lee Chongming Yang
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Weak Convergence and Empirical Processes 1996-01-01 Aad van der Vaart Jon A. Wellner
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Replica Monte Carlo Simulation of Spin-Glasses 1986-11-24 Robert H. Swendsen Jian‐Sheng Wang
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Scaling theory of percolation clusters 1979-07-01 D. Stauffer
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Characterization of molecular branching 1975-11-01 Milan Randić
Random perturbations of dynamical systems 1997-04-02 Michael Blank
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New Monte Carlo technique for studying phase transitions 1988-12-05 Alan M. Ferrenberg Robert H. Swendsen
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On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities 2015-01-01 Vladimir Vapnik Alexey Chervonenkis
CONFIDENCE LIMITS ON PHYLOGENIES: AN APPROACH USING THE BOOTSTRAP 1985-07-01 Joseph Felsenstein
Mixing patterns in networks 2003-02-27 M. E. J. Newman
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Statistical mechanics of cellular automata 1983-07-01 Stephen Wolfram
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ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS 1955-01-01 Herbert A. Simon
Assortative Mixing in Networks 2002-10-28 M. E. J. Newman
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Statistical Theory of the Energy Levels of Complex Systems. I 1962-01-01 Freeman J. Dyson
Resilience of the Internet to Random Breakdowns 2000-11-20 Reuven Cohen Keren Erez Daniel ben‐Avraham Shlomo Havlin
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Optimized Monte Carlo data analysis 1989-09-18 Alan M. Ferrenberg Robert H. Swendsen
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Random-Field Instability of the Ordered State of Continuous Symmetry 1975-11-24 Y. Imry Shang-keng Ma
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Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm 1976-10-15 Joseph Hoshen R. Kopelman
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The critical properties of the two-dimensional xy model 1974-03-21 J. M. Kosterlitz
A Markovian Decision Process 1957-01-01 Richard Bellman
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Adapted solution of a backward stochastic differential equation 1990-01-01 Étienne Pardoux Shigē PĂ©ng
Dynamic Scaling of Growing Interfaces 1986-03-03 Mehran Kardar Giorgio Parisi Yi-Cheng Zhang
Open, Closed, and Mixed Networks of Queues with Different Classes of Customers 1975-04-01 Forest Baskett K. Mani Chandy Richard R. Muntz Fernando G. Palacios
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Effect of random defects on the critical behaviour of Ising models 1974-05-07 A. B. Harris
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An introduction to lattice gauge theory and spin systems 1979-10-01 John B. Kogut
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Markov Processes: Characterization and Convergence. 1987-06-01 Andris Abakuks S. N. Ethier Thomas G. Kurtz
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An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations 2001-01-01 Desmond J. Higham
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Some generalized order-disorder transformations 1952-01-01 R. B. Potts
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Fluctuations of Animal Populations and a Measure of Community Stability 1955-07-01 Robert H. MacArthur
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Introduction to Percolation Theory 1986-01-01 Robert Blanc
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The Theory of Branching Processes 1965-02-01 Peter Ney T. E. Harris
Statistical physics of vehicular traffic and some related systems 2000-05-01 Debashish Chowdhury
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The Theory of Branching Processes 1963-01-01 T. E. Harris

Most Recent Works

Action Title Date Authors
Central limit theorems for the nearest neighbour embracing graph in Euclidean and hyperbolic space 2025-04-30 Holger Sambale Christoph ThÀle Tara Trauthwein
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Complementary asymptotic analysis for a minimal random walk 2025-05-01 VĂ­ctor VĂĄzquez Cristian F. Coletti Manuel GonzĂĄlez-Navarrete
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Spatial form factor for point patterns: Poisson point process, Coulomb gas, and vortex statistics 2025-05-01 M.J. Massaro Adolfo del Campo
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A classification of solitons for the surface diffusion flow of entire graphs 2025-05-01 Piotr Rybka Glen Wheeler
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Dynamics of Competitive Stochastic Predator-Prey Model with Holling Type II under Small Random Immigration 2025-05-01 Mogtaba Mohammed Jawdat Alebraheem Ismail M. Tayel Muhamad Hifzhudin
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Ergodicity of Inhomogeneous Markov Processes Under General Criteria 2025-05-02 Zhenxin Liu Di Lu
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Continuum graph dynamics via population dynamics: Well-posedness, duality and equilibria 2025-05-02 Andreas Greven Frank den Hollander Anton Klimovsky Anita Winter
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Non-linear Non-zero-Sum Dynkin Games with Bermudan Strategies 2025-05-02 Miryana Grigorova Marie-Claire Quenez Peng Yuan
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Almost sure central limit theorem for partial sums of m-dependent random variables 2025-05-01 Dawei Lu Shuang Deng Yan Wang Zhiqiang Hua
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Exact solutions for small systems: urns models 2025-05-01 Manuel Eduardo HernĂĄndez-GarcĂ­a Jorge Castro
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Stationary entrance chains and applications to random walks 2025-05-01 Aleksandar Mijatović Vladislav Vysotsky
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Analysis of Gibbs Measures and Stability of Dynamical System Linked to (1,1/2)-Mixed Ising Model on $$(m,k)$$-Ary Trees 2025-05-04 Aminah Qawasmeh Farrukh Mukhamedov Hasan Akın
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<tt>glabcmcmc</tt> : a Python package for ABC-MCMC with local and global moves 2025-05-05 Xuefei Cao Shijia Wang Yongdao Zhou
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Partition function zeros for the Blume–Capel model on a complete graph 2025-05-01 Yulian Honchar Mariana Krasnytska Bertrand Berche Yurij Holovatch Ralph Kenna
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Averaging principle for a class of distribution dependent slow-fast stochastic differential equations driven by fractional Brownian motion and standard Brownian motion 2025-05-01 Shitao Liu
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A Branching Process in Random Environment Starting with Large Number of Particles 2025-05-01 Valeriy Ivanovich Afanasyev
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On Approximation of Sums of Locally Dependent Random Variables via Perturbations of Stein Operator 2025-05-01 Zhonggen Su Vladimir V. Ulyanov Xuejun Wang
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A New Condition for Ergodicity of Markov Chains with a General State Space 2025-05-01 A. Y. Golubin
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Lévy Processes with Jumps Governed by Lower Incomplete Gamma Subordinator and Its Variations 2025-05-01 Meena Sanjay Babulal Sunil Kumar Gauttam A. Maheshwari
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Absence of weak disorder for directed polymers on supercritical percolation clusters 2025-05-01 Maximilian Nitzschner
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A lower-tail limit in the weak noise theory 2025-05-01 Yier Lin Li‐Cheng Tsai
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Infinite geodesics, competition interfaces and the second class particle in the scaling limit 2025-05-01 Mustazee Rahman BĂĄlint VirĂĄg
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Representations of Hecke algebras and Markov dualities for interacting particle systems 2025-05-01 Alexander Povolotsky Pavel Pyatov Roger Tribe Bruce W. Westbury Oleg Zaboronski
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Pruning, cut trees, and the reconstruction problem 2025-05-01 Nicolas Broutin Hui He Minmin Wang
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The contact process on dynamical scale-free networks 2025-05-01 Emmanuel Jacob Amitai Linker Peter Mörters
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Law of large numbers for ballistic random walks in dynamic random environments under lateral decoupling 2025-05-01 Weberson S. Arcanjo Rangel Baldasso Marcelo R. HilĂĄrio Renato Soares dos Santos
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SLEÎș(ρ) bubble measures 2025-05-01 Dapeng Zhan
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Emergence of fractional Gaussian free field correlations in subcritical long-range Ising models 2025-05-01 Trishen S. Gunaratnam Romain Panis
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Steady state large deviations for one-dimensional, symmetric exclusion processes in weak contact with reservoirs 2025-05-01 AngÚle Bouley Clément Erignoux Claudio Landim
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Binary branching processes with Moran type interactions 2025-05-01 Alexander M. G. Cox Emma Horton Denis Villemonais
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Strong and weak convergence rates of Euler-Maruyama scheme for stochastic differential equations with state-dependent Markovian switching driven by $$\alpha $$-stable process 2025-05-06 Li‐Qiong Wang Qing Zhou
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A dimensional mass transference principle for Borel probability measures and applications 2025-05-06 Edouard Daviaud
Estimation of the lifetime distribution from fluctuations in Bellman–Harris processes 2025-05-06 Jules OlayĂ© Hala Bouzidi Andrey Aristov Antoine Barizien SalomĂ© GutiĂ©rrez Ramos Charles N. Baroud Vincent Bansaye
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Quantum chaos on the separatrix of the periodically perturbed Harper model 2025-05-06 Alice C. Quillen Abobakar Sediq Miakhel
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Harmonic Moments and Large Deviations for a Critical Galton-Watson Process with State-dependent Immigration 2025-05-06 Dewei Li Yinxiangzi Sheng Mingyang Sun
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Brownian Motion on the Star Like Quantum Graphs 2025-05-06 Stanislav Molchanov Madhumita Paul
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SMG7 and eIF4A constitute a homeostatic module controlling P-body condensation and function of Meiotic bodies 2025-05-06 Albert Cairó Neha Shukla Sofia Kanavorova Jan Skalák Pavlina Mikulková Anna Vargova David Potěơil Zbyněk Zdráhal Jan Hejátko Karel Ƙíha
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Correction: A Central Limit Theorem Associated with a Sequence of Positive Line Bundles 2025-05-07 Afrim Bojnik Ozan GĂŒnyĂŒz
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Large-Deviation Analysis for Canonical Gibbs Measures 2025-05-07 Christian Hirsch Martina PetrĂĄkovĂĄ
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Active droplets controlled by enzymatic reactions 2025-05-01 Jacques Fries Javier DĂ­az Marie Jardat Ignacio Pagonabarraga Pierre Illien Vincent Dahirel
Densest Subgraphs of a Dense Erdös–RĂ©nyi Graph. Asymptotics, Landscape, and Universality 2025-05-07 Houssam El Cheairi David Gamarnik
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Nuclear deformation by microtubule molecular motors 2025-05-08 Naruemon Rueangkham Miguel Cabello Franziska LautenschlÀger Raymond J. Hawkins
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Asymptotic Nash Equilibria of Finite-State Ergodic Markovian Mean Field Games 2025-05-09 Asaf Cohen Ethan Zell
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Full spectrum of novelties in time-dependent urn models 2025-05-09 Alessandro Bellina Giordano De Marzo Vittorio Loreto
A new criterion for recurrence of Markov chains with an infinitely countable set of states 2025-05-09 Vyacheslav M. Abramov
Inverse first-passage problems of a diffusion with resetting 2025-05-09 Mario Abundo
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Lazy random walks on the weighted pseudofractal scale-free networks with a perfect trap 2025-05-09 Yun Chen Bo Wu Qingsong Peng Wei Liu Shixiong Cao
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Thermodynamic analysis of diverse percolation transitions 2025-05-10 Seonghyeon Moon Young Sul Cho
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The Extinction Rate of a Branching Random Walk with a Barrier in a Time-Inhomogeneous Random Environment 2025-05-10 You Lv
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Some quenched and annealed limit theorems for superprocesses in random environments 2025-05-01 Zeteng Fan Jieliang Hong Jie Xiong