Path integral approach to birth-death processes on a lattice
J. Phys. France, 46 9 (1985) 1469-1483
Article cité par
La fonctionnalité Article cité par… liste les citations d'un article. Ces citations proviennent de la base de données des articles de EDP Sciences, ainsi que des bases de données d'autres éditeurs participant au programme CrossRef Cited-by Linking Program. Vous pouvez définir une alerte courriel pour être prévenu de la parution d'un nouvel article citant " cet article (voir sur la page du résumé de l'article le menu à droite).
Article cité :
Citations de cet article :
Path integrals and large deviations in stochastic hybrid systems
Paul C. Bressloff and Jay M. NewbyPhysical Review E 89 (4) (2014)
https://doi.org/10.1103/PhysRevE.89.042701
Nonequilibrium functional renormalization for driven-dissipative Bose-Einstein condensation
L. M. Sieberer, S. D. Huber, E. Altman and S. DiehlPhysical Review B 89 (13) (2014)
https://doi.org/10.1103/PhysRevB.89.134310
41 577 (2014)
https://doi.org/10.1007/978-3-319-08488-6_10
Spontaneous Excitability in the Morris--Lecar Model with Ion Channel Noise
Jay M. NewbySIAM Journal on Applied Dynamical Systems 13 (4) 1756 (2014)
https://doi.org/10.1137/140971385
Karlin–McGregor-like formula in a simple time-inhomogeneous birth–death process
Jun OhkuboJournal of Physics A: Mathematical and Theoretical 47 (40) 405001 (2014)
https://doi.org/10.1088/1751-8113/47/40/405001
Random Walks with Preferential Relocations to Places Visited in the Past and their Application to Biology
Denis Boyer and Citlali Solis-SalasPhysical Review Letters 112 (24) (2014)
https://doi.org/10.1103/PhysRevLett.112.240601
Solvable random-walk model with memory and its relations with Markovian models of anomalous diffusion
D. Boyer and J. C. R. Romo-CruzPhysical Review E 90 (4) (2014)
https://doi.org/10.1103/PhysRevE.90.042136
Stochastic hybrid model of spontaneous dendritic NMDA spikes
Paul C Bressloff and Jay M NewbyPhysical Biology 11 (1) 016006 (2014)
https://doi.org/10.1088/1478-3975/11/1/016006
https://doi.org/10.1017/CBO9781139046213.012
Potential and flux field landscape theory. I. Global stability and dynamics of spatially dependent non-equilibrium systems
Wei Wu and Jin WangThe Journal of Chemical Physics 139 (12) (2013)
https://doi.org/10.1063/1.4816376
Eddy current and coupled landscapes for nonadiabatic and nonequilibrium complex system dynamics
Kun Zhang, Masaki Sasai and Jin WangProceedings of the National Academy of Sciences 110 (37) 14930 (2013)
https://doi.org/10.1073/pnas.1305604110
Self-organized criticality in a network of interacting neurons
J D Cowan, J Neuman, B Kiewiet and W van DrongelenJournal of Statistical Mechanics: Theory and Experiment 2013 (04) P04030 (2013)
https://doi.org/10.1088/1742-5468/2013/04/P04030
Beyond mean field theory: statistical field theory for neural networks
Michael A Buice and Carson C ChowJournal of Statistical Mechanics: Theory and Experiment 2013 (03) P03003 (2013)
https://doi.org/10.1088/1742-5468/2013/03/P03003
Internal Composite Bound States in Deterministic Reaction Diffusion Models
Fred Cooper, Gourab Ghoshal, Alec Pawling and Juan Pérez-MercaderPhysical Review Letters 111 (4) (2013)
https://doi.org/10.1103/PhysRevLett.111.044101
Field-theoretic technique for irreversible reaction processes
Michal Hnatič, Juha Honkonen and Tomáš LučivjanskýPhysics of Particles and Nuclei 44 (2) 316 (2013)
https://doi.org/10.1134/S1063779613020160
Algebraic Probability, Classical Stochastic Processes, and Counting Statistics
Jun OhkuboJournal of the Physical Society of Japan 82 (8) 084001 (2013)
https://doi.org/10.7566/JPSJ.82.084001
Effect of demographic noise in a phytoplankton-zooplankton model of bloom dynamics
Piero OllaPhysical Review E 87 (1) (2013)
https://doi.org/10.1103/PhysRevE.87.012712
Surname distribution in population genetics and in statistical physics
Paolo RossiPhysics of Life Reviews 10 (4) 395 (2013)
https://doi.org/10.1016/j.plrev.2013.06.005
Long-range and many-body effects in coagulation processes
Anton A. Winkler and Erwin FreyPhysical Review E 87 (2) (2013)
https://doi.org/10.1103/PhysRevE.87.022136
Fluctuation effects in the pair-annihilation process with Lévy dynamics
Ingo Homrighausen, Anton A. Winkler and Erwin FreyPhysical Review E 88 (1) (2013)
https://doi.org/10.1103/PhysRevE.88.012111
Branching and annihilating random walks: Exact results at low branching rate
Federico Benitez and Nicolás WscheborPhysical Review E 87 (5) (2013)
https://doi.org/10.1103/PhysRevE.87.052132
Extended duality relations between birth–death processes and partial differential equations
Jun OhkuboJournal of Physics A: Mathematical and Theoretical 46 (37) 375004 (2013)
https://doi.org/10.1088/1751-8113/46/37/375004
Survival of the scarcer in space
Renato Vieira dos Santos and Ronald DickmanJournal of Statistical Mechanics: Theory and Experiment 2013 (07) P07004 (2013)
https://doi.org/10.1088/1742-5468/2013/07/P07004
Fluctuations and the role of collision duration in reaction-diffusion systems
Fernando Peruani and Chiu Fan LeeEPL (Europhysics Letters) 102 (5) 58001 (2013)
https://doi.org/10.1209/0295-5075/102/58001
Evolutionary processes in finite populations
Dirk M. Lorenz, Jeong-Man Park and Michael W. DeemPhysical Review E 87 (2) (2013)
https://doi.org/10.1103/PhysRevE.87.022704
Effective Rates in Dilute Reaction-Advection Systems for the Annihilation Process A+A→∅
G. Krstulovic, M. Cencini and J. BecJournal of Statistical Physics 153 (3) 530 (2013)
https://doi.org/10.1007/s10955-013-0823-8
Branching-rate expansion around annihilating random walks
Federico Benitez and Nicolás WscheborPhysical Review E 86 (1) (2012)
https://doi.org/10.1103/PhysRevE.86.010104
A Discrete Model For Pattern Formation In Volatile Thin Films
M. Malik-Garbi and O. AgamMathematical Modelling of Natural Phenomena 7 (4) 39 (2012)
https://doi.org/10.1051/mmnp/20127404
Kinetic theory for systems of self-propelled particles with metric-free interactions
Yen-Liang Chou, Rylan Wolfe and Thomas IhlePhysical Review E 86 (2) (2012)
https://doi.org/10.1103/PhysRevE.86.021120
Patchiness and Demographic Noise in Three Ecological Examples
Juan A. Bonachela, Miguel A. Muñoz and Simon A. LevinJournal of Statistical Physics 148 (4) 724 (2012)
https://doi.org/10.1007/s10955-012-0506-x
Diffusion-mediated geminate reactions under excluded volume interactions
Kazuhiko Seki, Mariusz Wojcik and M. TachiyaPhysical Review E 85 (1) 011131 (2012)
https://doi.org/10.1103/PhysRevE.85.011131
Computational Complexity
Uwe Claus TäuberComputational Complexity 1080 (2012)
https://doi.org/10.1007/978-1-4614-1800-9_69
Population oscillations in spatial stochastic Lotka–Volterra models: a field-theoretic perturbational analysis
Uwe C TäuberJournal of Physics A: Mathematical and Theoretical 45 (40) 405002 (2012)
https://doi.org/10.1088/1751-8113/45/40/405002
Symbiotic two-species contact process
Marcelo Martins de Oliveira, Renato Vieira Dos Santos and Ronald DickmanPhysical Review E 86 (1) (2012)
https://doi.org/10.1103/PhysRevE.86.011121
Pattern formation via intermittence from microscopic deterministic dynamics
Marco Hernández, Daniel Escaff and Ricardo FingerPhysical Review E 85 (5) (2012)
https://doi.org/10.1103/PhysRevE.85.056218
Development of the new approach to the diffusion-limited reaction rate theory
M. S. VeshchunovJournal of Experimental and Theoretical Physics 114 (4) 631 (2012)
https://doi.org/10.1134/S1063776112020148
Linear polymers in disordered media: The shortest, the longest, and the mean self-avoiding walk on percolation clusters
Hans-Karl Janssen and Olaf StenullPhysical Review E 85 (1) 011123 (2012)
https://doi.org/10.1103/PhysRevE.85.011123
One-parameter extension of the Doi-Peliti formalism and its relation with orthogonal polynomials
Jun OhkuboPhysical Review E 86 (4) (2012)
https://doi.org/10.1103/PhysRevE.86.042102
Spatiotemporal dynamics of continuum neural fields
Paul C BressloffJournal of Physics A: Mathematical and Theoretical 45 (3) 033001 (2012)
https://doi.org/10.1088/1751-8113/45/3/033001
Scaling theory for the quasideterministic limit of continuous bifurcations
David A. Kessler and Nadav M. ShnerbPhysical Review E 85 (5) (2012)
https://doi.org/10.1103/PhysRevE.85.051138
Validity of the Law of Mass Action in Three-Dimensional Coagulation Processes
Anton A. Winkler and Erwin FreyPhysical Review Letters 108 (10) 108301 (2012)
https://doi.org/10.1103/PhysRevLett.108.108301
Velocity fluctuations of population fronts propagating into metastable states
Baruch Meerson, Pavel V. Sasorov and Yitzhak KaplanPhysical Review E 84 (1) 011147 (2011)
https://doi.org/10.1103/PhysRevE.84.011147
Stochastic Transport in Complex Systems
Andreas Schadschneider, Debashish Chowdhury and Katsuhiro NishinariStochastic Transport in Complex Systems 383 (2011)
https://doi.org/10.1016/B978-0-444-52853-7.00010-5
Stochastic Transport in Complex Systems
Andreas Schadschneider, Debashish Chowdhury and Katsuhiro NishinariStochastic Transport in Complex Systems 281 (2011)
https://doi.org/10.1016/B978-0-444-52853-7.00008-7
Модели реакций в стохастической теории поля
Juha Honkonen and Ю ХонконенТеоретическая и математическая физика 169 (1) 112 (2011)
https://doi.org/10.4213/tmf6713
Large-deviation principles, stochastic effective actions, path entropies, and the structure and meaning of thermodynamic descriptions
Eric SmithReports on Progress in Physics 74 (4) 046601 (2011)
https://doi.org/10.1088/0034-4885/74/4/046601
The geometric universality of currents
V Y Chernyak, M Chertkov and N A SinitsynJournal of Statistical Mechanics: Theory and Experiment 2011 (09) P09006 (2011)
https://doi.org/10.1088/1742-5468/2011/09/P09006
On an imaginary exponential functional of Brownian motion
D Gredat, I Dornic and J M LuckJournal of Physics A: Mathematical and Theoretical 44 (17) 175003 (2011)
https://doi.org/10.1088/1751-8113/44/17/175003
General framework of the non-perturbative renormalization group for non-equilibrium steady states
Léonie Canet, Hugues Chaté and Bertrand DelamotteJournal of Physics A: Mathematical and Theoretical 44 (49) 495001 (2011)
https://doi.org/10.1088/1751-8113/44/49/495001
Lattice models of nonequilibrium bacterial dynamics
A G Thompson, J Tailleur, M E Cates and R A BlytheJournal of Statistical Mechanics: Theory and Experiment 2011 (02) P02029 (2011)
https://doi.org/10.1088/1742-5468/2011/02/P02029
Reaction models in stochastic field theory
J. HonkonenTheoretical and Mathematical Physics 169 (1) 1460 (2011)
https://doi.org/10.1007/s11232-011-0122-y
On the series expansion of the spatial SIS evolution operator
José Martins, Maíra Aguiar, Alberto Pinto and Nico StollenwerkJournal of Difference Equations and Applications 17 (7) 1107 (2011)
https://doi.org/10.1080/10236190903153884
Stochastic Transport in Complex Systems
Stochastic Transport in Complex Systems 489 (2011)https://doi.org/10.1016/B978-0-444-52853-7.00013-0
Quasi-Neutral Theory of Epidemic Outbreaks
Oscar A. Pinto, Miguel A. Muñoz and Michael George RobertsPLoS ONE 6 (7) e21946 (2011)
https://doi.org/10.1371/journal.pone.0021946
Stochastic Transport in Complex Systems
Andreas Schadschneider, Debashish Chowdhury and Katsuhiro NishinariStochastic Transport in Complex Systems 461 (2011)
https://doi.org/10.1016/B978-0-444-52853-7.00012-9
Stochastic Transport in Complex Systems
Andreas Schadschneider, Debashish Chowdhury and Katsuhiro NishinariStochastic Transport in Complex Systems 407 (2011)
https://doi.org/10.1016/B978-0-444-52853-7.00011-7
Fluctuation-driven Turing patterns
Thomas Butler and Nigel GoldenfeldPhysical Review E 84 (1) (2011)
https://doi.org/10.1103/PhysRevE.84.011112
Effective stochastic behavior in dynamical systems with incomplete information
Michael A. Buice and Carson C. ChowPhysical Review E 84 (5) 051120 (2011)
https://doi.org/10.1103/PhysRevE.84.051120
Stochastic population oscillations in spatial predator-prey models
Uwe C TäuberJournal of Physics: Conference Series 319 012019 (2011)
https://doi.org/10.1088/1742-6596/319/1/012019
Stochastic Transport in Complex Systems
Stochastic Transport in Complex Systems 491 (2011)https://doi.org/10.1016/B978-0-444-52853-7.00014-2
Stochastic Transport in Complex Systems
Andreas Schadschneider, Debashish Chowdhury and Katsuhiro NishinariStochastic Transport in Complex Systems 335 (2011)
https://doi.org/10.1016/B978-0-444-52853-7.00009-9
Stochastic Neural Field Theory and the System-Size Expansion
Paul C. BressloffSIAM Journal on Applied Mathematics 70 (5) 1488 (2010)
https://doi.org/10.1137/090756971
Unconventional Computation
Jun OhkuboLecture Notes in Computer Science, Unconventional Computation 6079 105 (2010)
https://doi.org/10.1007/978-3-642-13523-1_13
Non-Equilibrium Statistical Physics of Currents in Queuing Networks
Vladimir Y. Chernyak, Michael Chertkov, David A. Goldberg and Konstantin TuritsynJournal of Statistical Physics 140 (5) 819 (2010)
https://doi.org/10.1007/s10955-010-0018-5
Finite-temperature critical point of a glass transition
Yael S. Elmatad, Robert L. Jack, David Chandler and Juan P. GarrahanProceedings of the National Academy of Sciences 107 (29) 12793 (2010)
https://doi.org/10.1073/pnas.1006306107
Two Langevin equations in the Doi–Peliti formalism
Kazunori Itakura, Jun Ohkubo and Shin-ichi SasaJournal of Physics A: Mathematical and Theoretical 43 (12) 125001 (2010)
https://doi.org/10.1088/1751-8113/43/12/125001
On the Gaussian Approximation for Master Equations
Luis F. Lafuerza and Raul ToralJournal of Statistical Physics 140 (5) 917 (2010)
https://doi.org/10.1007/s10955-010-0024-7
Non-linear Liouville and Shrödinger equations in phase space
M.C.B. Fernandes, F.C. Khanna, M.G.R. Martins, A.E. Santana and J.D.M. ViannaPhysica A: Statistical Mechanics and its Applications 389 (17) 3409 (2010)
https://doi.org/10.1016/j.physa.2010.04.030
Vicious walks with long-range interactions
Igor Goncharenko and Ajay GopinathanPhysical Review E 82 (1) 011126 (2010)
https://doi.org/10.1103/PhysRevE.82.011126
Advances in Computational Biology
Youhei Fujitani, Junji Kawai and Ichizo KobayashiAdvances in Experimental Medicine and Biology, Advances in Computational Biology 680 275 (2010)
https://doi.org/10.1007/978-1-4419-5913-3_31
Field theoretic treatment of an effective action for a model of catalyzed autoamplification
Martin Tchernookov, Aryeh Warmflash and Aaron R. DinnerPhysical Review E 81 (1) (2010)
https://doi.org/10.1103/PhysRevE.81.011112
Systematic Fluctuation Expansion for Neural Network Activity Equations
Michael A. Buice, Jack D. Cowan and Carson C. ChowNeural Computation 22 (2) 377 (2010)
https://doi.org/10.1162/neco.2009.02-09-960
Vicious Lévy Flights
Igor Goncharenko and Ajay GopinathanPhysical Review Letters 105 (19) 190601 (2010)
https://doi.org/10.1103/PhysRevLett.105.190601
The Reaction-Diffusion Master Equation as an Asymptotic Approximation of Diffusion to a Small Target
Samuel A. IsaacsonSIAM Journal on Applied Mathematics 70 (1) 77 (2009)
https://doi.org/10.1137/070705039
First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
Juan P Garrahan, Robert L Jack, Vivien Lecomte, et al.Journal of Physics A: Mathematical and Theoretical 42 (7) 075007 (2009)
https://doi.org/10.1088/1751-8113/42/7/075007
Robust ecological pattern formation induced by demographic noise
Thomas Butler and Nigel GoldenfeldPhysical Review E 80 (3) (2009)
https://doi.org/10.1103/PhysRevE.80.030902
3360 (2009)
https://doi.org/10.1007/978-0-387-30440-3_200
Reaction under vacancy-assisted diffusion at high quencher concentration
Kazuhiko Seki and M. TachiyaPhysical Review E 80 (4) (2009)
https://doi.org/10.1103/PhysRevE.80.041120
Fast algorithms for classical X→ diffusion-reaction processes
Fabrice Thalmann and Nam-Kyung LeeThe Journal of Chemical Physics 130 (7) (2009)
https://doi.org/10.1063/1.3072706
Statistics of trajectories in two-state master equations
Andrew D. Jackson and Simone PigolottiPhysical Review E 79 (2) (2009)
https://doi.org/10.1103/PhysRevE.79.021121
Ecological Invasion, Roughened Fronts, and a Competitor’s Extreme Advance: Integrating Stochastic Spatial-Growth Models
Lauren O’Malley, G. Korniss and Thomas CaracoBulletin of Mathematical Biology 71 (5) 1160 (2009)
https://doi.org/10.1007/s11538-009-9398-6
Statistical mechanics of the neocortex
Michael A. Buice and Jack D. CowanProgress in Biophysics and Molecular Biology 99 (2-3) 53 (2009)
https://doi.org/10.1016/j.pbiomolbio.2009.07.003
Traveling wave solution of the Reggeon field theory
Robi PeschanskiPhysical Review D 79 (10) 105014 (2009)
https://doi.org/10.1103/PhysRevD.79.105014
Effects of turbulent mixing on the nonequilibrium critical behaviour
N V Antonov, V I Iglovikov and A S KapustinJournal of Physics A: Mathematical and Theoretical 42 (13) 135001 (2009)
https://doi.org/10.1088/1751-8113/42/13/135001
Predator-prey quasicycles from a path-integral formalism
Thomas Butler and David ReynoldsPhysical Review E 79 (3) (2009)
https://doi.org/10.1103/PhysRevE.79.032901
Reaction-diffusion processes in zero transverse dimensions as toy models for high-energy QCD
Néstor Armesto, Sergey Bondarenko, Paloma Quiroga-Arias and José Guilherme MilhanoJournal of High Energy Physics 2008 (05) 103 (2008)
https://doi.org/10.1088/1126-6708/2008/05/103
Relationship between the reaction–diffusion master equation and particle tracking models
Samuel A IsaacsonJournal of Physics A: Mathematical and Theoretical 41 (6) 065003 (2008)
https://doi.org/10.1088/1751-8113/41/6/065003
Chiral symmetry breaking: (i) limited enantioselectivity and (ii) mutual inhibition
Antonio Giaquinta and David HochbergPhysica D: Nonlinear Phenomena 237 (20) 2563 (2008)
https://doi.org/10.1016/j.physd.2008.04.002
Persistence of instanton connections in chemical reactions with time-dependent rates
Carlos Escudero and José Ángel RodríguezPhysical Review E 77 (1) (2008)
https://doi.org/10.1103/PhysRevE.77.011130
Quasispecies theory for horizontal gene transfer and recombination
Enrique Muñoz, Jeong-Man Park and Michael W. DeemPhysical Review E 78 (6) (2008)
https://doi.org/10.1103/PhysRevE.78.061921
Quantum-classical correspondence principles for locally nonequilibrium driven systems
Eric SmithPhysical Review E 77 (2) (2008)
https://doi.org/10.1103/PhysRevE.77.021109
Handbook of Large-Scale Random Networks
Michele Catanzaro, Marián Boguñá and Romualdo Pastor-SatorrasBolyai Society Mathematical Studies, Handbook of Large-Scale Random Networks 18 203 (2008)
https://doi.org/10.1007/978-3-540-69395-6_5
On the maximal noise for stochastic and QCD travelling waves
Robi PeschanskiNuclear Physics B 805 (3) 377 (2008)
https://doi.org/10.1016/j.nuclphysb.2008.06.010
Fock space for fermion-like lattices and the linear Glauber model
Érica M. Silva, Paulo T. Muzy and Ademir E. SantanaPhysica A: Statistical Mechanics and its Applications 387 (21) 5101 (2008)
https://doi.org/10.1016/j.physa.2008.04.015
The stochastic pump current and the non-adiabatic geometrical phase
Jun OhkuboJournal of Statistical Mechanics: Theory and Experiment 2008 (02) P02011 (2008)
https://doi.org/10.1088/1742-5468/2008/02/P02011
Mapping out-of-equilibrium into equilibrium in one-dimensional transport models
Julien Tailleur, Jorge Kurchan and Vivien LecomteJournal of Physics A: Mathematical and Theoretical 41 (50) 505001 (2008)
https://doi.org/10.1088/1751-8113/41/50/505001
Crystallization and melting of bacteria colonies and Brownian bugs
Francisco Ramos, Cristóbal López, Emilio Hernández-García and Miguel A. MuñozPhysical Review E 77 (2) (2008)
https://doi.org/10.1103/PhysRevE.77.021102
Spectral theory of metastability and extinction in a branching-annihilation reaction
Michael Assaf and Baruch MeersonPhysical Review E 75 (3) 031122 (2007)
https://doi.org/10.1103/PhysRevE.75.031122
Current distribution in systems with anomalous diffusion: renormalization group approach
Vivien Lecomte, Uwe C Täuber and Frédéric van WijlandJournal of Physics A: Mathematical and Theoretical 40 (7) 1447 (2007)
https://doi.org/10.1088/1751-8113/40/7/003
Dynamical First-Order Phase Transition in Kinetically Constrained Models of Glasses
J. P. Garrahan, R. L. Jack, V. Lecomte, et al.Physical Review Letters 98 (19) 195702 (2007)
https://doi.org/10.1103/PhysRevLett.98.195702