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Volumn 285, Issue 2-3, 2012, Pages 223-235

An approximative approach for construction of the Glauber dynamics in continuum

Author keywords

Continuous systems; Non equilibrium Glauber dynamics; Semigroup approximation; Spatial birth and death processes; Stochastic evolution

Indexed keywords


EID: 84855392877     PISSN: 0025584X     EISSN: 15222616     Source Type: Journal    
DOI: 10.1002/mana.200910248     Document Type: Article
Times cited : (11)

References (18)
  • 1
    • 60449119515 scopus 로고    scopus 로고
    • Object extraction using a stochastic birth-and-death dynamics in continuum
    • X. Descombes, R. Minlos, and E. Zhizhina, Object extraction using a stochastic birth-and-death dynamics in continuum, J. Math. Imaging Vision 33(3), 347-359 (2009).
    • (2009) J. Math. Imaging Vision , vol.33 , Issue.3 , pp. 347-359
    • Descombes, X.1    Minlos, R.2    Zhizhina, E.3
  • 4
    • 84856465108 scopus 로고    scopus 로고
    • Correlation functions evolution for the Glauber dynamics in continuum, arXiv: 1107.3487
    • D. L. Finkelshtein, Yu. G. Kondratiev, and O. V. Kutoviy, Correlation functions evolution for the Glauber dynamics in continuum, arXiv: 1107.3487.
    • Finkelshtein, D.L.1    Kondratiev, Y.G.2    Kutoviy, O.V.3
  • 5
    • 63749117729 scopus 로고    scopus 로고
    • Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics
    • D. L. Finkelshtein, Yu. G. Kondratiev, and E. Lytvynov, Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics, Random Oper. Stoch. Equ. 15, 105-126 (2007).
    • (2007) Random Oper. Stoch. Equ. , vol.15 , pp. 105-126
    • Finkelshtein, D.L.1    Kondratiev, Y.G.2    Lytvynov, E.3
  • 6
    • 67349226154 scopus 로고    scopus 로고
    • Markov evolutions and hierarchical equations in the continuum. I. One-component systems
    • D. L. Finkelshtein, Yu. G. Kondratiev, and M. J. Oliveira, Markov evolutions and hierarchical equations in the continuum. I. One-component systems, J. Evol. Equ. 9(2), 197-233 (2009).
    • (2009) J. Evol. Equ. , vol.9 , Issue.2 , pp. 197-233
    • Finkelshtein, D.L.1    Kondratiev, Y.G.2    Oliveira, M.J.3
  • 7
    • 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, 281-303 (2006).
    • (2006) ALEA, Lat. Am. J. Probab. Math. Stat. , vol.1 , pp. 281-303
    • Garcia, N.L.1    Kurtz, T.G.2
  • 9
    • 33646527168 scopus 로고    scopus 로고
    • On the metrical properties of the configuration space
    • Yu. G. Kondratiev and O. V. Kutoviy, On the metrical properties of the configuration space, Math. Nachr. 279(7), 774-783 (2006).
    • (2006) Math. Nachr. , vol.279 , Issue.7 , pp. 774-783
    • Kondratiev, Y.G.1    Kutoviy, O.V.2
  • 10
    • 44149098071 scopus 로고    scopus 로고
    • On non-equilibrium stochastic dynamics for interacting particle systems in continuum
    • Yu. G. Kondratiev, O. V. Kutoviy, and R. A. Minlos, On non-equilibrium stochastic dynamics for interacting particle systems in continuum, J. Funct. Anal. 255(1), 200-227 (2008).
    • (2008) J. Funct. Anal. , vol.255 , Issue.1 , pp. 200-227
    • Kondratiev, Y.G.1    Kutoviy, O.V.2    Minlos, R.A.3
  • 11
    • 33751566526 scopus 로고    scopus 로고
    • Nonequilibrium Glauber-type dynamics in continuum
    • Yu. G. Kondratiev, O. V. Kutoviy, and E. Zhizhina, Nonequilibrium Glauber-type dynamics in continuum, J. Math. Phys. 47(11), 17 (2006).
    • (2006) J. Math. Phys. , vol.47 , Issue.11 , pp. 17
    • Kondratiev, Y.G.1    Kutoviy, O.V.2    Zhizhina, E.3
  • 14
    • 12944316389 scopus 로고    scopus 로고
    • One-particle subspaces of the generator of Glauber dynamics of continuous particle systems
    • Yu. G. Kondratiev, R. A. Minlos, and E. Zhizhina, One-particle subspaces of the generator of Glauber dynamics of continuous particle systems, Rev. Math. Phys. 16(9), 1-42 (2004).
    • (2004) Rev. Math. Phys. , vol.16 , Issue.9 , pp. 1-42
    • Kondratiev, Y.G.1    Minlos, R.A.2    Zhizhina, E.3
  • 15
    • 0016621185 scopus 로고
    • States of classical statistical mechanical systems of infinitely many particles. I
    • A. Lenard, States of classical statistical mechanical systems of infinitely many particles. I, Arch. Ration. Mech. Anal. 59, 219-239 (1975).
    • (1975) Arch. Ration. Mech. Anal. , vol.59 , pp. 219-239
    • Lenard, A.1
  • 16
    • 0016623758 scopus 로고
    • States of classical statistical mechanical systems of infinitely many particles. II
    • A. Lenard, States of classical statistical mechanical systems of infinitely many particles. II, Arch. Ration. Mech. Anal. 59, 241-256 (1975).
    • (1975) Arch. Ration. Mech. Anal. , vol.59 , pp. 241-256
    • Lenard, A.1
  • 18
    • 0001174680 scopus 로고
    • Superstable interactions in classical statistical mechanics
    • D. Ruelle, Superstable interactions in classical statistical mechanics, Commun. Math. Phys. 18, 127-159 (1970).
    • (1970) Commun. Math. Phys. , vol.18 , pp. 127-159
    • Ruelle, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.