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Volumn 46, Issue 1, 2010, Pages 59-71

Symmetric jump processes: Localization, heat kernels and convergence

Author keywords

Dirichlet forms; Harnack inequalities; Heat kernels; Non local operators; Symmetric jump processes; Weak convergence

Indexed keywords


EID: 77952575829     PISSN: 02460203     EISSN: 02460203     Source Type: Journal    
DOI: 10.1214/08-AIHP201     Document Type: Article
Times cited : (54)

References (11)
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    • M. T. Barlow, A. Grigor'yan and T. Kumagai. Heat kernel upper bounds for jump processes and the first exit time. J. Reine Angew. Math. To appear.
    • J. Reine Angew. Math
    • Barlow, M.T.1    Grigor'yan, A.2    Kumagai, T.3
  • 4
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    • Hölder continuity of harmonic functions with respect to operators of variable order
    • MR2180302
    • R. F. Bass and M. Kassmann. Hölder continuity of harmonic functions with respect to operators of variable order. Comm. Partial Diferential Equations 30 (2005) 1249-1259. MR2180302
    • (2005) Comm. Partial Diferential Equations , vol.30 , pp. 1249-1259
    • Bass, R.F.1    Kassmann, M.2
  • 5
    • 62549150143 scopus 로고    scopus 로고
    • Symmetric Markov chains on Zd with unbounded range
    • MR2366974
    • R. F. Bass and T. Kumagai. Symmetric Markov chains on Zd with unbounded range. Trans. Amer. Math. Soc. 360 (2008) 2041-2075. MR2366974
    • (2008) Trans. Amer. Math. Soc. , vol.360 , pp. 2041-2075
    • Bass, R.F.1    Kumagai, T.2
  • 7
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    • Heat kernel estimates for stable-like processes on d-sets
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    • Z. Q. Chen and T. Kumagai. Heat kernel estimates for stable-like processes on d-sets. Stochastic Process. Appl. 108 (2003) 27-62. MR2008600
    • (2003) Stochastic Process. Appl. , vol.108 , pp. 27-62
    • Chen, Z.Q.1    Kumagai, T.2
  • 8
    • 36148997271 scopus 로고    scopus 로고
    • Heat kernel estimates for jump processes of mixed types on metric measure spaces
    • MR2357678
    • Z. Q. Chen and T. Kumagai. Heat kernel estimates for jump processes of mixed types on metric measure spaces. Probab. Theory Related Fields 140 (2008) 277-317. MR2357678
    • (2008) Probab. Theory Related Fields , vol.140 , pp. 277-317
    • Chen, Z.Q.1    Kumagai, T.2
  • 9
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    • Markov chain approximations for symmetric jump processes
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    • R. Husseini and M. Kassmann. Markov chain approximations for symmetric jump processes. Potential Anal. 27 (2007) 353-380. MR2353972
    • (2007) Potential Anal. , vol.27 , pp. 353-380
    • Husseini, R.1    Kassmann, M.2
  • 11
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    • Regularity of harmonic functions for anisotropic fractional Laplacian
    • To appear
    • P. Sztonyk. Regularity of harmonic functions for anisotropic fractional Laplacian. Math. Nachr. To appear.
    • Math. Nachr
    • Sztonyk, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.