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Volumn 17, Issue , 2013, Pages 614-634

Discrete time Markovian agents interacting through a potential

Author keywords

Agent based modeling; Chemotaxis; Interacting Markov chains; Multi agent systems; Non linear Markov processes; Particle approximations; Propagation of chaos; Reinforced random walk; Stability; Stochastic algorithms; Swarm simulations

Indexed keywords

APPROXIMATION ALGORITHMS; BIOCHEMISTRY; BIOLOGY; CHAINS; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DYNAMICAL SYSTEMS; MARKOV PROCESSES; MULTI AGENT SYSTEMS; NONLINEAR DYNAMICAL SYSTEMS; STABILITY; STOCHASTIC SYSTEMS; SYSTEM STABILITY;

EID: 84878792743     PISSN: 12928100     EISSN: 12623318     Source Type: Journal    
DOI: 10.1051/ps/2012014     Document Type: Article
Times cited : (3)

References (20)
  • 2
    • 77249132487 scopus 로고    scopus 로고
    • Dynamical aspects of mean field plane rotators and the Kuramoto model
    • L. Bertini, G. Giacomin and K. Pakdaman, Dynamical aspects of mean field plane rotators and the Kuramoto model. J. Stat. Phys. 138 (2010) 270-290.
    • (2010) J. Stat. Phys. , vol.138 , pp. 270-290
    • Bertini, L.1    Giacomin, G.2    Pakdaman, K.3
  • 3
    • 80052756114 scopus 로고    scopus 로고
    • Particle approximations of a class of branching distribution arising in multi-target tracking
    • F. Caron, P. Del Moral, A. Doucet and M. Pace, Particle approximations of a class of branching distribution arising in multi-target tracking. SIAM J. Contr. Optim. 49 (2011) 1766-1792.
    • (2011) SIAM J. Contr. Optim. , vol.49 , pp. 1766-1792
    • Caron, F.1    Del Moral, P.2    Doucet, A.3    Pace, M.4
  • 4
    • 84855856864 scopus 로고    scopus 로고
    • On the stability and the approximation of branching distribution flows, with applications to nonlinear multiple target filtering
    • F. Caron, P. Del Moral, M. Pace and B.-N. Vo, On the stability and the approximation of branching distribution flows, with applications to nonlinear multiple target filtering. Stoch. Anal. Appl. 29 (2011) 951-997.
    • (2011) Stoch. Anal. Appl. , vol.29 , pp. 951-997
    • Caron, F.1    Del Moral, P.2    Pace, M.3    Vo, B.-N.4
  • 5
    • 1542399709 scopus 로고    scopus 로고
    • Kinetic equilibration rates for granular media and related equations: Entropy dissipation and mass transportation estimates
    • J. Carrillo, R. McCann and C. Villani, Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates. Rev. Mat. Iberoamericana 19 (2003) 971-1018.
    • (2003) Rev. Mat. Iberoamericana , vol.19 , pp. 971-1018
    • Carrillo, J.1    McCann, R.2    Villani, C.3
  • 6
    • 32544445429 scopus 로고    scopus 로고
    • Contractions in the 2-Wasserstein length space and thermalization of granular media
    • J. Carrillo, R. McCann and C. Villani, Contractions in the 2-Wasserstein length space and thermalization of granular media. Arch. Ration. Mech. Anal. 179 (2006) 217-263.
    • (2006) Arch. Ration. Mech. Anal. , vol.179 , pp. 217-263
    • Carrillo, J.1    McCann, R.2    Villani, C.3
  • 7
    • 36148968957 scopus 로고    scopus 로고
    • Probabilistic approach for granular media equations in the non-uniformly convex case
    • P. Cattiaux, A. Guillin and F. Malrieu, Probabilistic approach for granular media equations in the non-uniformly convex case. Probab. Theory Relat. Fields 140 (2008) 19-40.
    • (2008) Probab. Theory Relat. Fields , vol.140 , pp. 19-40
    • Cattiaux, P.1    Guillin, A.2    Malrieu, F.3
  • 8
    • 34250144062 scopus 로고
    • Critical dynamics and fluctuations for a mean-field model of cooperative behavior
    • D. Dawson, Critical dynamics and fluctuations for a mean-field model of cooperative behavior. J. Statist. Phys. 31 (1983) 29-85.
    • (1983) J. Statist. Phys. , vol.31 , pp. 29-85
    • Dawson, D.1
  • 9
    • 0002434884 scopus 로고
    • Central limit theorem for nonstationary Markov chains I
    • R.L. Dobrushin, Central limit theorem for nonstationary Markov chains I. Theory Probab. Appl. 1 (1956) 65-80.
    • (1956) Theory Probab. Appl. , vol.1 , pp. 65-80
    • Dobrushin, R.L.1
  • 10
    • 0009967136 scopus 로고
    • Central limit theorem for nonstationary Markov chains II
    • R.L. Dobrushin, Central limit theorem for nonstationary Markov chains II. Theory Probab. Appl. 1 (1956) 329-383.
    • (1956) Theory Probab. Appl. , vol.1 , pp. 329-383
    • Dobrushin, R.L.1
  • 11
    • 0036700354 scopus 로고    scopus 로고
    • Stability of solutions of chemotaxis equations in reinforced random walks
    • A. Friedman and J.I. Tello, Stability of solutions of chemotaxis equations in reinforced random walks. J. Math. Anal. Appl. 272 (2002) 138-163.
    • (2002) J. Math. Anal. Appl. , vol.272 , pp. 138-163
    • Friedman, A.1    Tello, J.I.2
  • 12
    • 84985400388 scopus 로고
    • On the McKean-Vlasov limit for interacting diffusions
    • J. Gartner, On the McKean-Vlasov limit for interacting diffusions. Math. Nachr. 137 (1988) 197-248.
    • (1988) Math. Nachr. , vol.137 , pp. 197-248
    • Gartner, J.1
  • 13
    • 84878779114 scopus 로고    scopus 로고
    • Default clustering in large portfolios: Typical events
    • K. Giesecke, K. Spiliopoulos and R. Sowers, Default clustering in large portfolios: typical events. Ann. Appl. Probab. 23 (2013) 348-385.
    • (2013) Ann. Appl. Probab. , vol.23 , pp. 348-385
    • Giesecke, K.1    Spiliopoulos, K.2    Sowers, R.3
  • 14
    • 70549083896 scopus 로고    scopus 로고
    • Interacting multi-class transmissions in large stochastic networks
    • C. Graham and P. Robert, Interacting multi-class transmissions in large stochastic networks. Ann. Appl. Probab. 19 (2009) 2334-2361.
    • (2009) Ann. Appl. Probab. , vol.19 , pp. 2334-2361
    • Graham, C.1    Robert, P.2
  • 16
    • 0010166955 scopus 로고    scopus 로고
    • Self-organizing social systems: Necessary and suffcient conditions for the emergence of clustering, consolidation, and continuing diversity
    • B. Latané and A. Nowak, Self-organizing social systems: Necessary and suffcient conditions for the emergence of clustering, consolidation, and continuing diversity. Prog. Commun. Sci. (1997) 43-74.
    • (1997) Prog. Commun. Sci. , pp. 43-74
    • Latané, B.1    Nowak, A.2
  • 17
    • 21144445368 scopus 로고    scopus 로고
    • Convergence to equilibrium for granular media equations and their Euler schemes
    • F. Malrieu, Convergence to equilibrium for granular media equations and their Euler schemes. Ann. Appl. Probab. 13 (2003) 540-560.
    • (2003) Ann. Appl. Probab. , vol.13 , pp. 540-560
    • Malrieu, F.1
  • 18
    • 0003420686 scopus 로고    scopus 로고
    • Brownian agents and active particles
    • Collective dynamics in the natural and social sciences, With a foreword by J. Doyne Farmer. Springer-Verlag, Berlin
    • F. Schweitzer, Brownian agents and active particles. Springer Series in Synergetics. Collective dynamics in the natural and social sciences, With a foreword by J. Doyne Farmer. Springer-Verlag, Berlin (2003).
    • (2003) Springer Series in Synergetics
    • Schweitzer, F.1
  • 19
    • 0001408135 scopus 로고
    • Trail following and aggregation of myxobacteria
    • A. Stevens, Trail following and aggregation of myxobacteria. J. Biol. Syst. 3 (1995) 1059-1068.
    • (1995) J. Biol. Syst. , vol.3 , pp. 1059-1068
    • Stevens, A.1
  • 20
    • 0001105004 scopus 로고
    • Topics in propagation of chaos
    • École d'Été de Probabilités de Saint-Flour XIX - 1989, Springer, Berlin
    • A.-S. Sznitman, Topics in propagation of chaos, in École d'Été de Probabilités de Saint-Flour XIX - 1989, vol. 1464 of Lect. Notes Math. Springer, Berlin (1991) 165-251.
    • (1991) Lect. Notes Math. , vol.1464 , pp. 165-251
    • Sznitman, A.-S.1


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