Abstract
In this chapter, we take up the study of Markov processes. We assume that the reader has read Sect. 1 and 2 in Chap. III.
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Pazy, A.Semi-groups of linear operators and applications to partial differential equations. (Applied Mathematical Sciences, vol. 44 ). Springer, Berlin Heidelberg New York 1983
Dellacherie, C. Meyer, P.A. and Yor, M. Sur certaines propriétés des espaces H’ et BMO. Sém. Prob. XII. Lecture Notes in Mathematics, vol. 649. Springer, Berlin Heidelberg New York 1978, pp. 98 - 113
Kunita, H. Absolute continuity of Markov processes and generators. Nagoya Math. J. 36 (1969) 1 - 26
Roth, J.P. Opérateurs dissipatifs et semi-groupes dans les espaces de fonctions continues. Ann. Inst. Fourier 26 (1976) 1 - 97
Chen, L.H.Y. Poincaré-type inequalities via stochastic integrals. Z.W. 69 (1985) 251 - 277
Kunita, H. Some extensions of Itô’s formula. Sém. Prob. XV. Lecture Notes in Mathematics, vol. 850. Springer, Berlin Heidelberg New York 1981, pp. 118 - 141
Stroock, D.W., and Varadhan, S.R.S. Multidimensional diffusion processes. Springer, Berlin Heidelberg New York 1979
Priouret, P. Processus de diffusion et équations différentielles stochastiques. Ecole d’Eté de Probabilités de Saint-Flour III. Lecture Notes in Mathematics, vol. 390. Springer, Berlin Heidelberg New York 1974, pp. 38 - 113
Dynkin, E.B. arkov processes. Springer, Berlin Heidelberg New York 1965
Itô, K., and McKean, H.P.Diffusion processes and their sample paths. Springer, Berlin Heidelberg New York 1965
Freedman, D. rownian motion and diffusion. Holden-Day, San Fransisco 1971
Mandl, P. Analytical treatment of one-dimensional Markov process. Springer, Berlin Heidelberg New York 1968
Breiman, L. Probability. Addison-Wesley Publ. Co, Reading, Mass. 1968
Nagasawa, M. Time reversions of Markov processes. Nagoya Math. J. 24 (1964) 177 - 204
Meyer, P.A. Processus de Markov: La frontière de Martin. Lecture Notes in Mathematics, vol. 77. Springer, Berlin Heidelberg New York 1970
Meyer, P.A. Processus de Markov. Lecture Notes in Mathematics, vol. 26, Springer, Berlin Heidelberg New York 1967
Williams, D. Path decomposition and continuity of local time for one dimensional diffusions I. Proc. London Math. Soc. (3) 28 (1974) 738 - 768
Williams, D. Decomposing the Brownian path. Bull. Amer. Math. Math. Soc. 76 (1970) 871 - 873
Yor, M. A propos de l’inverse du mouvement brownien dans B" (n z 3). Ann. I.H.P. 21, 1 (1985) 27 - 38
Pitman, J.W., and Yor, M. Bessel processes and infinitely divisible laws. In: D. Williams (ed.) Stochastic integrals. Lecture Notes in Mathematics, vol. 851. Springer, Berlin Heidelberg New York 1981
Getoor, R.K. he Brownian escape process. Ann. Prob. 7 (1979) 864 - 867
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© 1991 Springer-Verlag Berlin Heidelberg
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Revuz, D., Yor, M. (1991). Generators and Time Reversal. In: Continuous Martingales and Brownian Motion. Grundlehren der mathematischen Wissenschaften, vol 293. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21726-9_8
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