메뉴 건너뛰기




Volumn 35, Issue 5, 1999, Pages 605-630

Gaussian lower bounds for random walks from elliptic regularity

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033192413     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(99)00109-0     Document Type: Article
Times cited : (18)

References (19)
  • 1
    • 0001092529 scopus 로고    scopus 로고
    • Regularity theorems and heat kernel for elliptic operators
    • P. Auscher, Regularity theorems and heat kernel for elliptic operators, J. London Math. Soc. 2 (54) (1996) 284-296.
    • (1996) J. London Math. Soc. , vol.2 , Issue.54 , pp. 284-296
    • Auscher, P.1
  • 2
    • 21344470602 scopus 로고
    • Temporal regularity for random walk on discrete nilpotent groups
    • M. Christ, Temporal regularity for random walk on discrete nilpotent groups, J. Fourier Analysis Appl. (Kahane Special Issue) (1995) 141-151.
    • (1995) J. Fourier Analysis Appl. (Kahane Special Issue) , pp. 141-151
    • Christ, M.1
  • 3
    • 85030060785 scopus 로고    scopus 로고
    • Analysis on graphs with regular volume growth
    • to appear
    • T. Coulhon, Analysis on graphs with regular volume growth, Symposia Math., to appear.
    • Symposia Math.
    • Coulhon, T.1
  • 4
    • 0032382061 scopus 로고    scopus 로고
    • Random walks on graphs with regular volume growth
    • T. Coulhon and A. Grigor'yan, Random walks on graphs with regular volume growth, G.A.F.A. 8 (1998) 656-701.
    • (1998) G.A.F.A. , vol.8 , pp. 656-701
    • Coulhon, T.1    Grigor'yan, A.2
  • 5
    • 21344490063 scopus 로고
    • Minorations pour les chaînes de Markov unidimensionnelles
    • T. Coulhon and L. Saloff-Coste, Minorations pour les chaînes de Markov unidimensionnelles, Probab. Theory Related Fields 97 (1993) 423-431.
    • (1993) Probab. Theory Related Fields , vol.97 , pp. 423-431
    • Coulhon, T.1    Saloff-Coste, L.2
  • 6
    • 0002412307 scopus 로고
    • Sulla differenziabilita e l'analiticita delle estremali degli integrali multipli regolari
    • E. De Giorgi, Sulla differenziabilita e l'analiticita delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat. 3 (3) (1957) 25-43.
    • (1957) Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat. , vol.3 , Issue.3 , pp. 25-43
    • De Giorgi, E.1
  • 7
    • 0001877073 scopus 로고    scopus 로고
    • Inégalité de Harnack elliptique sur les graphes
    • T. Delmotte, Inégalité de Harnack elliptique sur les graphes, Coll. Math. 72 (1) (1997) 19-37.
    • (1997) Coll. Math. , vol.72 , Issue.1 , pp. 19-37
    • Delmotte, T.1
  • 8
    • 0033481532 scopus 로고    scopus 로고
    • Parabolic Harnack inequality and estimates of Markov chains on graphs
    • T. Delmotte, Parabolic Harnack inequality and estimates of Markov chains on graphs, Rev. Mat. Iberoam. 15 (1) (1999) 181-232.
    • (1999) Rev. Mat. Iberoam. , vol.15 , Issue.1 , pp. 181-232
    • Delmotte, T.1
  • 12
    • 0002209819 scopus 로고
    • The heat equation on non-compact Riemannian manifolds
    • in Russian
    • A. Grigor'yan, The heat equation on non-compact Riemannian manifolds, Matem. Sbornik 182 (1) (1991) 55-87 (in Russian); English translation: Math. USSR Sb. 72 (1) (1992) 47-77.
    • (1991) Matem. Sbornik , vol.182 , Issue.1 , pp. 55-87
    • Grigor'yan, A.1
  • 13
    • 84956103754 scopus 로고
    • English translation
    • A. Grigor'yan, The heat equation on non-compact Riemannian manifolds, Matem. Sbornik 182 (1) (1991) 55-87 (in Russian); English translation: Math. USSR Sb. 72 (1) (1992) 47-77.
    • (1992) Math. USSR Sb. , vol.72 , Issue.1 , pp. 47-77
  • 15
    • 0001926819 scopus 로고
    • Gaussian estimates for Markov chains and random walks on groups
    • W. Hebisch and L. Saloff-Coste, Gaussian estimates for Markov chains and random walks on groups, Ann. Probab. 21 (1993) 673-709.
    • (1993) Ann. Probab. , vol.21 , pp. 673-709
    • Hebisch, W.1    Saloff-Coste, L.2
  • 17
    • 0039314610 scopus 로고    scopus 로고
    • Riesz transforms on graphs for 1 ≤ p ≤ 2
    • to appear
    • E. Russ, Riesz transforms on graphs for 1 ≤ p ≤ 2, Math. Scand., to appear.
    • Math. Scand.
    • Russ, E.1
  • 18
    • 84963021360 scopus 로고
    • A note on Poincaré, Sobolev, and Harnack inequalities
    • L. Saloff-Coste, A note on Poincaré, Sobolev, and Harnack inequalities, Duke Math. J., I.M.R.N. 2 (1992) 27-38.
    • (1992) Duke Math. J., I.M.R.N. , vol.2 , pp. 27-38
    • Saloff-Coste, L.1
  • 19
    • 0001586659 scopus 로고
    • Parabolic Harnack inequality for divergence form second order differential operators
    • L. Saloff-Coste, Parabolic Harnack inequality for divergence form second order differential operators, Potential Analysis 4 (4) (1995) 429-467.
    • (1995) Potential Analysis , vol.4 , Issue.4 , pp. 429-467
    • Saloff-Coste, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.