Markov chain approximations to symmetric diffusions
Stroock, Daniel W. ; Zheng, Weian
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997), p. 619-649 / Harvested from Numdam
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@article{AIHPB_1997__33_5_619_0,
     author = {Stroock, Daniel W. and Zheng, Wei-An},
     title = {Markov chain approximations to symmetric diffusions},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {33},
     year = {1997},
     pages = {619-649},
     mrnumber = {1473568},
     zbl = {0885.60065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_1997__33_5_619_0}
}

Stroock, Daniel W.; Zheng, Weian. Markov chain approximations to symmetric diffusions. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) pp. 619-649. http://gdmltest.u-ga.fr/item/AIHPB_1997__33_5_619_0/

[1] E. Carlen, S. Kusuoka and D. Stroock, Upper bounds for symmetric Markov transition functions, Ann. Inst. H. Poincaré, Vol. 35, Sup. au #2, 1987, pp. 245-287. | Numdam | MR 898496 | Zbl 0634.60066

[2] S. Ethier and T. Kurtz, Markov Processes, J. Wiley & Sons, 1986. | Zbl 0592.60049

[3] M. Fukushima, Y. Oshima and M. Takeda, Dirichlet Forms and Symmetric Markov Processes, De Gruyter Series in Math., W. De Gruyter, 1994. | MR 1303354 | Zbl 0838.31001

[4] E. Fabes and D. Stroock, The De Giorgi-Moser Harnack principle via the old ideas of Nash, Arch. Ratl. Mech. & Anal., Vol. 96, #4, 1987, pp. 327-338. | Zbl 0652.35052

[5] I.I. Gihman and A. Skorohod, The Theory of Stochastic Processes II, Springer-Verlag, Grund. #218, 1975. | MR 375463 | Zbl 0305.60027

[6] D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and their Applications, Academic Press, Pure & Appl. Math., #88, 1980. | Zbl 0457.35001

[7] W. Littman, G. Stampacchia and H. Weinberger, Regular Points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup Pisa, #17, 1963, pp. 43-77. | Numdam | MR 161019 | Zbl 0116.30302

[8] Z.-M. Ma and M. Röckner, Dirichlet Forms, Springer-Verlag, Universitext Series, 1992. | MR 1214375

[9] D. Stroock, Diffusion semigroups corresponding to uniformly elliptic divergence form operators, Séminaire de Probabililité XXII(J. Azema & M. Yor, ed.), Springer-Verlag LNMS #1321, 1988, pp. 316-348. | Numdam | Zbl 0651.47031

[10] D. Stroock, Probability Theory, An Analytic View, Cambridge Univ. Press, 1993. | MR 1267569 | Zbl 0925.60004

[11] D. Stroock and S.R.S. Varadhan, Multidimensional Diffusion Theory, Springer-Verlag, Grundlehren 233, 1979. | MR 532498 | Zbl 0426.60069