메뉴 건너뛰기




Volumn 33, Issue 4, 2013, Pages 1431-1450

Glauber dynamics in continuum: A constructive approach to evolution of states

Author keywords

Birth and death point process; Configuration space; Correlation function; Glauber dynamics; Ovsjannikov method; Scale of Banach spaces; Vlasov scaling limit

Indexed keywords


EID: 84872120807     PISSN: 10780947     EISSN: 15535231     Source Type: Journal    
DOI: 10.3934/dcds.2013.33.1431     Document Type: Article
Times cited : (12)

References (18)
  • 1
    • 59849125945 scopus 로고    scopus 로고
    • Perturbations of positive semigroups with applications
    • Springer-Verlag Ltd., London
    • J. Banasiak and L. Arlotti, "Perturbations of Positive Semigroups with Applications," Springer Monographs in Mathematics. Springer-Verlag Ltd., London, 2006.
    • (2006) Springer Monographs in Mathematics
    • Banasiak, J.1    Arlotti, L.2
  • 2
    • 53349120521 scopus 로고
    • Dynamical systems of statistical mechanics
    • VINITI; engl. transl. in "Dynamical systems. II: Ergodic theory with applications to dynamical systems and statistical mechanics" (ed. Ya. G. Sinai), Encyclopaedia Math. Sci., Springer, Berlin Heidelberg, 1989
    • R. L. Dobrushin, Y. G. Sinai and Y. M. Sukhov, Dynamical systems of statistical mechanics, in "Itogi Nauki", VINITI (1985), 235-284; engl. transl. in "Dynamical systems. II: Ergodic theory with applications to dynamical systems and statistical mechanics" (ed. Ya. G. Sinai), Encyclopaedia Math. Sci., Springer, Berlin Heidelberg, 1989.
    • (1985) Itogi Nauki , pp. 235-284
    • Dobrushin, R.L.1    Sinai, Y.G.2    Sukhov, Y.M.3
  • 3
    • 44149099843 scopus 로고    scopus 로고
    • Spatial birth and death processes as solutions of stochastic equations
    • N. L. Garcia and T. G. Kurtz, Spatial birth and death processes as solutions of stochastic equations, ALEA Lat. Am. J. Probab. Math. Stat., 1 (2006), 281-303.
    • (2006) ALEA Lat. Am. J. Probab. Math. Stat. , vol.1 , pp. 281-303
    • Garcia, N.L.1    Kurtz, T.G.2
  • 5
    • 77956541750 scopus 로고    scopus 로고
    • Vlasov scaling for stochastic dynamics of continuous systems
    • D. Finkelshtein, Yu. Kondratiev and O. Kutovyi, Vlasov scaling for stochastic dynamics of continuous systems, J. Stat. Phys., 141 (2010), 158-178.
    • (2010) J. Stat. Phys. , vol.141 , pp. 158-178
    • Finkelshtein, D.1    Kondratiev, Yu.2    Kutovyi, O.3
  • 6
    • 70349356717 scopus 로고    scopus 로고
    • Individual based model with competition in spatial ecology
    • D. Finkelshtein, Yu. Kondratiev and O. Kutovyi, Individual based model with competition in spatial ecology, SIAM J. Math. Anal., 41 (2009), 297-317.
    • (2009) SIAM J. Math. Anal. , vol.41 , pp. 297-317
    • Finkelshtein, D.1    Kondratiev, Yu.2    Kutovyi, O.3
  • 8
    • 84855392877 scopus 로고    scopus 로고
    • An approximative approach for construction of the Glauber dynamics in continuum
    • D. Finkelshtein, Yu. Kondratiev, O. Kutovyi and E. Zhizhina, An approximative approach for construction of the Glauber dynamics in continuum, Math. Nachr., 285 (2012), 223-235.
    • (2012) Math. Nachr. , vol.285 , pp. 223-235
    • Finkelshtein, D.1    Kondratiev, Yu.2    Kutovyi, O.3    Zhizhina, E.4
  • 9
    • 63749117729 scopus 로고    scopus 로고
    • Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics
    • D. Finkelshtein, Yu. Kondratiev and E. Lytvynov, Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics, Random Oper. Stochastic Equations, 15 (2007), 105-126.
    • (2007) Random Oper. Stochastic Equations , vol.15 , pp. 105-126
    • Finkelshtein, D.1    Kondratiev, Yu.2    Lytvynov, E.3
  • 10
    • 67349226154 scopus 로고    scopus 로고
    • Markov evolution and hierarchical equations in the continuum. I: One-component systems
    • D. Finkelshtein, Yu. Kondratiev and M. J. Oliveira, Markov evolution and hierarchical equations in the continuum. I: One-component systems, J. Evol. Equ., 9 (2009), 197-233.
    • (2009) J. Evol. Equ. , vol.9 , pp. 197-233
    • Finkelshtein, D.1    Kondratiev, Yu.2    Oliveira, M.J.3
  • 12
    • 33646527168 scopus 로고    scopus 로고
    • On the metrical properties of the configuration space
    • Yu. Kondratiev and O. Kutovyi, On the metrical properties of the configuration space, Math. Nachr., 279 (2006), 774-783.
    • (2006) Math. Nachr. , vol.279 , pp. 774-783
    • Kondratiev, Yu.1    Kutovyi, O.2
  • 13
    • 44149098071 scopus 로고    scopus 로고
    • On non-equilibrium stochastic dynamics for interacting particle systems in continuum
    • Yu. Kondratiev, O. Kutovyi and R. Minlos, On non-equilibrium stochastic dynamics for interacting particle systems in continuum, J. Funct. Anal., 255 (2008), 200-227.
    • (2008) J. Funct. Anal. , vol.255 , pp. 200-227
    • Kondratiev, Yu.1    Kutovyi, O.2    Minlos, R.3
  • 14
    • 77149141083 scopus 로고    scopus 로고
    • Ergodicity of non-equilibrium Glauber dynamics in continuum
    • Yu. Kondratiev, O. Kutovyi and R. Minlos, Ergodicity of non-equilibrium Glauber dynamics in continuum, J. Funct. Anal., 258 (2010), 3097-3116.
    • (2010) J. Funct. Anal. , vol.258 , pp. 3097-3116
    • Kondratiev, Yu.1    Kutovyi, O.2    Minlos, R.3
  • 15
    • 33751566526 scopus 로고    scopus 로고
    • Nonequilibrium Glauber-type dynamics in continuum
    • Yu. Kondratiev, O. Kutovyi and E. Zhizhina, Nonequilibrium Glauber-type dynamics in continuum, J. Math. Phys., 47 (2006), 17 pp. 113501.
    • (2006) J. Math. Phys. , vol.47 , Issue.17 , pp. 113501
    • Kondratiev, Yu.1    Kutovyi, O.2    Zhizhina, E.3
  • 17
    • 34547244930 scopus 로고    scopus 로고
    • Stochastic semigroups: Their construction by perturbation and approximation
    • Tech. Univ. Dresden, Dresden
    • H. R. Thieme and J. Voigt, Stochastic semigroups: Their construction by perturbation and approximation, in "Positivity IV - Theory and Applications," 135-146, Tech. Univ. Dresden, Dresden, 2006.
    • (2006) Positivity IV - Theory and Applications , pp. 135-146
    • Thieme, H.R.1    Voigt, J.2
  • 18
    • 84864134789 scopus 로고
    • Ovcyannikov theorem and hyperdifferential operators
    • Instituto de Matemática Pura e Aplicada Conselho Nacional de Pesquisas Rio de Janeiro
    • F. Trèves, "Ovcyannikov Theorem and Hyperdifferential Operators," Notas de Matemática, No. 46 Instituto de Matemática Pura e Aplicada, Conselho Nacional de Pesquisas, Rio de Janeiro, 1968.
    • (1968) Notas de Matemática , vol.46
    • Trèves, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.