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Volumn 263, Issue 3, 2009, Pages 541-581

A stationary Fleming-Viot type Brownian particle system

(1)  Löbus, Jörg Uwe a  

a NONE   (Germany)

Author keywords

Brownian motion; Brownian particle system; Invariant measure; Jump process; Weak convergence

Indexed keywords


EID: 70350170641     PISSN: 00255874     EISSN: 14321823     Source Type: Journal    
DOI: 10.1007/s00209-008-0430-6     Document Type: Article
Times cited : (17)

References (20)
  • 1
    • 34548030913 scopus 로고    scopus 로고
    • Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure
    • Ben-Ari I., Pinsky R.: Spectral analysis of a family of second-order elliptic operators with nonlocal boundary condition indexed by a probability measure. J. Funct. Anal. 251(1), 122-140 (2007)
    • (2007) J. Funct. Anal. , vol.251 , Issue.1 , pp. 122-140
    • Ben-Ari, I.1    Pinsky, R.2
  • 2
    • 70350208748 scopus 로고    scopus 로고
    • Ergodic behavior of diffusions with random jumps from the boundary
    • (to appear)
    • Ben-Ari, I., Pinsky, R.: Ergodic behavior of diffusions with random jumps from the boundary. Stoch. Process. Appl. (2006, to appear)
    • (2006) Stoch. Process. Appl
    • Ben-Ari, I.1    Pinsky, R.2
  • 3
    • 0034652877 scopus 로고    scopus 로고
    • Sharp estimates for the Green function in Lipschitz domains
    • Bogdan K.: Sharp estimates for the Green function in Lipschitz domains. J. Math. Anal. Appl. 243, 326-337 (2000)
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 326-337
    • Bogdan, K.1
  • 4
    • 1842527530 scopus 로고    scopus 로고
    • Configurational transition in a Fleming-Viot type model and probabilistic interpretation of Laplacian eigenfunctions
    • Burdzy K., Hołyst R., Ingerman D., March P.: Configurational transition in a Fleming-Viot type model and probabilistic interpretation of Laplacian eigenfunctions. J. Phys. A 29, 2633-2642 (1996)
    • (1996) J. Phys. A , vol.29 , pp. 2633-2642
    • Burdzy, K.1    Hołyst, R.2    Ingerman, D.3    March, P.4
  • 5
    • 0034343127 scopus 로고    scopus 로고
    • A Fleming-Viot particle representation of the Dirichlet Laplacian
    • Burdzy K., Hołyst R., March P.: A Fleming-Viot particle representation of the Dirichlet Laplacian. Comm. Math. Phys. 214(3), 679-703 (2000)
    • (2000) Comm. Math. Phys. , vol.214 , Issue.3 , pp. 679-703
    • Burdzy, K.1    Hołyst, R.2    March, P.3
  • 6
    • 0038851938 scopus 로고    scopus 로고
    • Estimates for Dirichlet eigenfunctions
    • Bolthausen E., van den Berg M.: Estimates for Dirichlet eigenfunctions. J. Lond. Math. Soc. 59(2), 607-619 (1999)
    • (1999) J. Lond. Math. Soc. , vol.59 , Issue.2 , pp. 607-619
    • Bolthausen, E.1    van den Berg, M.2
  • 8
    • 84959839935 scopus 로고
    • Properties of the Green's function of some Schrödinger operators
    • Davies E.B.: Properties of the Green's function of some Schrödinger operators. J. Lond. Math. Soc. 7, 483-491 (1973)
    • (1973) J. Lond. Math. Soc. , vol.7 , pp. 483-491
    • Davies, E.B.1
  • 9
    • 70350178941 scopus 로고    scopus 로고
    • Dawson, D.A.: Measure-valued Markov processes. In: Dawson, D.A., Maisonneuve, B., Spencer, J. (eds.) Ecole d́ Eté Probailités de Saint-Flour XXI. LNM, vol. 1541, pp. 1-260. Springer, Berlin (1991)
  • 12
    • 0742289209 scopus 로고    scopus 로고
    • Hydrodynamic limit for a Fleming-Viot type system
    • Grigorescu I., Kang M.: Hydrodynamic limit for a Fleming-Viot type system. Stoch. Process. Appl. 110(1), 111-143 (2004)
    • (2004) Stoch. Process. Appl. , vol.110 , Issue.1 , pp. 111-143
    • Grigorescu, I.1    Kang, M.2
  • 13
    • 33646401810 scopus 로고    scopus 로고
    • Tagged particle limit for a Fleming-Viot type system
    • Grigorescu I., Kang M.: Tagged particle limit for a Fleming-Viot type system. Electron. J. Probab. 11, 311-331 (2006)
    • (2006) Electron. J. Probab. , vol.11 , pp. 311-331
    • Grigorescu, I.1    Kang, M.2
  • 19
    • 38249010351 scopus 로고
    • On the spectral counting function for the Dirichlet Laplacian
    • van den Berg M.: On the spectral counting function for the Dirichlet Laplacian. J. Funct. Anal. 107(2), 352-361 (1992)
    • (1992) J. Funct. Anal. , vol.107 , Issue.2 , pp. 352-361
    • van den Berg, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.