Interacting Particle Systems

References

• Dual Families of Interacting Particle Systems on GraphsAidan Sudbury — 2000
• Stochastic Interacting Systems: Contact, Voter and Exclusion ProcessesThomas M. Liggett — 1999
• Time-Dependent Statistics of the Ising Model増雄 鈴木 — 1965
• Lecture notes on particle systems and percolationRichard Durrett — 1988
• Large Scale Dynamics of Interacting ParticlesHerbert Spohn — 1991
• Improved Upper Bounds for the Contact Process Critical ValueThomas M. Liggett — 1995
• Interaction of Markov ProcessesG.N. Mil'shtein — 1972
• Domination by product measuresThomas M. Liggett, Roberto H. Schonmann, Alan Stacey — 1997
• Branching-coalescing particle systemsSiva R. Arthreya, Jan M. Swart — 2005
• Critical Exponents for the Reggeon Quantum Spin ModelRichard C. Brower, Miguel A. Furman, Moshe Moshe — 1978
• Rescaled Lotka–Volterra models converge to super-Brownian motionJ. Theodore Cox, Edwin A. Perkins — 2005
• Quantum operators in classical probability theory. IV. Quasi-duality and thinnings of interacting particle systemsPeter Lloyd, Aidan Sudbury — 1997
• The Survival of One-Dimensional Contact Processes in Random EnvironmentsThomas M. Liggett — 1992
• Contact Interactions on a LatticeT. E. Harris — 1974
• The Critical Contact Process Dies OutCarol Bezuidenhout, Geoffrey Grimmett — 1990
• The contact process in a dynamic random environmentDaniel Remenik — 2008
• Stochastic interacting particle systems out of equilibriumLorenzo Bertini, Alberto De Sole, Davide Gabrielli — 2007
• Exponential decay for subcritical contact and percolation processesCarol Bezuidenhout, Geoffrey Grimmett — 1991
• On a Class of Set-Valued Markov ProcessesT. E. Harris — 1976
• Beitrag zur Theorie des FerromagnetismusErnst Ising — 1925

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• Biologically inspired algorithms for wireless sensor networksAnna Scaglione, Roberto Pagliari — 2010
• Consensus and diversity in multistate noisy voter models.惠乎 一ノ瀬, るい ささだ, 楚香 田岡 — 2019
• On some classes of birth and death processes in continuumLukasz Derdziuk — 2011
• Spatial birth-and-death Markov processesViktor Bezborodov — 2014
• Fluctuations de courant hors d'équilibreAntoine Gerschenfeld — 2012
• Méthodes exactes pour le modèle d'exclusion asymétriqueSylvain Prolhac — 2009
• Reaching Consensus on Social NetworksElchanan Mossel, Grant Schoenebeck — 2010
• Passage time from four to two blocks in the voter modelKilian Raschel — 2009
• Mutually Catalytic Branching Processes on the Lattice and Voter Processes with Strength of OpinionLeif Doering, Leonid Mytnik — 2011
• Stochastic Approximation Algorithms in the Estimation of Quasi-Stationary Distribution of Finite and General State Space Markov ChainsShuheng Zheng — 2014
• Conformism-driven phases of opinion formation on heterogeneous networks: the q-voter model caseMarco Alberto Javarone, Tiziano Squartini — 2014
• Non-local models of cell-cell interactions in developmentJ. M. Bloomfield — 2011
• Interacting particle systems at the edge of multilevel Dyson Brownian motionsVadim Gorin, Mykhaylo Shkolnikov — 2014
• Random Propagation in Complex Systems: Nonlinear Matrix Recursions and Epidemic SpreadHyoung Jun Ahn — 2014
• Exact Formulas for Random Growth with Half-Flat Initial DataJanosch Ortmann, Jeremy Quastel, Daniel Remenik — 2014
• Complex System Analysis on Voter Stochastic System and Jump Time Effective Neural Network of Stock MarketJun Wang, Huopo Pan, Yiduan Wang — 2015
• The Surprising Mathematics of Longest Increasing SubsequencesD. Romik — 2015
• Tagged Particle in Single-File DiffusionP. L. Krapivsky, Kirone Mallick, Tridib Sadhu — 2015
• Two self-reinforced processes with self-organized criticalityJan M. Swart — 2014

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