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Volumn 119, Issue 1, 2009, Pages 45-73

Stochastic coalescence with homogeneous-like interaction rates

Author keywords

Coalescence; Homogeneous coagulation kernels; Stochastic interacting particle systems

Indexed keywords

HOMOGENEOUS COAGULATION KERNELS; INFINITE SYSTEMS; INTERACTION RATES; STOCHASTIC COALESCENCES; STOCHASTIC INTERACTING PARTICLE SYSTEMS;

EID: 57149090341     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2008.01.007     Document Type: Article
Times cited : (4)

References (13)
  • 1
    • 0031483018 scopus 로고    scopus 로고
    • Brownian excursions, critical random graphs and the multiplicative coalescent
    • Aldous D.J. Brownian excursions, critical random graphs and the multiplicative coalescent. Ann. Probab. 25 2 (1997) 812-854
    • (1997) Ann. Probab. , vol.25 , Issue.2 , pp. 812-854
    • Aldous, D.J.1
  • 2
    • 0032237324 scopus 로고    scopus 로고
    • The standard additive coalescent
    • Aldous D.J., and Pitman J. The standard additive coalescent. Ann. Probab. 26 4 (1998) 1703-1726
    • (1998) Ann. Probab. , vol.26 , Issue.4 , pp. 1703-1726
    • Aldous, D.J.1    Pitman, J.2
  • 3
    • 0001796185 scopus 로고    scopus 로고
    • Deterministic and stochastic models for coalescence (aggregation, coagulation): A review of the mean-field theory for probabilists
    • Aldous D.J. Deterministic and stochastic models for coalescence (aggregation, coagulation): A review of the mean-field theory for probabilists. Bernoulli 5 (1999) 3-48
    • (1999) Bernoulli , vol.5 , pp. 3-48
    • Aldous, D.J.1
  • 6
    • 33748998792 scopus 로고    scopus 로고
    • On some stochastic coalescents
    • Fournier N. On some stochastic coalescents. Probab. Theory Related Fields 136 4 (2006) 509-523
    • (2006) Probab. Theory Related Fields , vol.136 , Issue.4 , pp. 509-523
    • Fournier, N.1
  • 7
    • 25844448092 scopus 로고    scopus 로고
    • Convergence of the Marcus-Lushnikov process
    • Fournier N., and Giet J.S. Convergence of the Marcus-Lushnikov process. Methodol. Comput. Appl. Probab. 6 2 (2004) 219-231
    • (2004) Methodol. Comput. Appl. Probab. , vol.6 , Issue.2 , pp. 219-231
    • Fournier, N.1    Giet, J.S.2
  • 8
    • 33645882227 scopus 로고    scopus 로고
    • Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels
    • Fournier N., and Laurençot Ph. Well-posedness of Smoluchowski's coagulation equation for a class of homogeneous kernels. J. Funct. Anal. 233 (2006) 351-379
    • (2006) J. Funct. Anal. , vol.233 , pp. 351-379
    • Fournier, N.1    Laurençot, Ph.2
  • 9
    • 0032474307 scopus 로고    scopus 로고
    • Existence of gelling solutions for coagulation-fragmentation equations
    • Jeon I. Existence of gelling solutions for coagulation-fragmentation equations. Comm. Math. Phys. 194 3 (1998) 541-567
    • (1998) Comm. Math. Phys. , vol.194 , Issue.3 , pp. 541-567
    • Jeon, I.1
  • 12
    • 84946656793 scopus 로고
    • Stochastic coalescence
    • Marcus A. Stochastic coalescence. Technometrics 10 (1968) 133-143
    • (1968) Technometrics , vol.10 , pp. 133-143
    • Marcus, A.1
  • 13
    • 0033440601 scopus 로고    scopus 로고
    • Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
    • Norris J.R. Smoluchowski's coagulation equation: Uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent. Ann. Appl. Probab. 9 1 (1999) 78-109
    • (1999) Ann. Appl. Probab. , vol.9 , Issue.1 , pp. 78-109
    • Norris, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.