Homogeneity for Two-Sided Discrete Markov Processes.- Regularity and the Doob-Meyer Decomposition of Abstract Quasimartingales.- Autour des Ensembles Semi-Polaires.- Vector Valued Stochastic Processes III: Projections and Dual Projections.- On a Connection Between Kuznetsov Processes and Quasi-Processes.- More about Capacity and Excessive Measures.- Capacities of Symmetric Markov Processes.- Sobolev Spaces, Kac-Regularity and the Feynman-Kac Formula.- On Invertibility of Martingale Time Changes.- Multiplicative Martingales for Spatial Branching Processes.- Energy and Potentials.- Brownian Bitransforms.- On Time-Reversal of Reflected Brownian Motions.- Remarks on Harmonic Functions and Invariant Measures of Markov Processes.- Green Functions and Conditioned Gauge Theorem for a 2-Dimensional Domain.- Correction.
The 1987 Seminar on Stochastic Processes was held at Princeton University, March 26 through March 28, 1987. It was the seventh seminar in a continuing series of meetings which provide opportunities for researchers to discuss current work in stochastic processes in an informal and enjoyable atmosphere. Previous seminars were held at Northwestern University, Evanston; University of Florida, Gainesville: and University of Virginia, Charlottesville. The success of these seminars has been due to the interest and enthusiasm of probabilists in the United States and abroad. Many of the participants have allowed us to pUblish the results of their re search in this volume. The editors hope that the reader will be able to sense some of the excitement present in the seminar by reading these articles. This year's invited participants included M. Aizenman, B. Atkinson, R. M. Blumenthal, C. Burdzy, D. Burkholder, R. Carmona, K. L. Chung, M. Cranston, C. Dellacherie, J. D. Deuschel, N. Dinculeanu, Gundy, P. Hsu, E. B. Dynkin, P. Fitzsimmons, R. K. Getoor, J. Glover, R. G. Hunt, H. Kaspi, Knight, G. Lawler, P. March, P. A. Meyer, A. F. J. Mitro, J. Neveu, E. Pardoux, M. Pinsky, L. Pitt, A. O. Pittenger, Z. Pop-Stojanovic, P. Protter, M. Rao, T. Salisbury, M. J. Sharpe, S. J. Taylor, E. Toby, S. R. S. Varadhan, R. Williams, M. Weber, and Z. Zhao.
Inhaltsverzeichnis
Homogeneity for Two-Sided Discrete Markov Processes.- Regularity and the Doob-Meyer Decomposition of Abstract Quasimartingales.- Autour des Ensembles Semi-Polaires.- Vector Valued Stochastic Processes III: Projections and Dual Projections.- On a Connection Between Kuznetsov Processes and Quasi-Processes.- More about Capacity and Excessive Measures.- Capacities of Symmetric Markov Processes.- Sobolev Spaces, Kac-Regularity and the Feynman-Kac Formula.- On Invertibility of Martingale Time Changes.- Multiplicative Martingales for Spatial Branching Processes.- Energy and Potentials.- Brownian Bitransforms.- On Time-Reversal of Reflected Brownian Motions.- Remarks on Harmonic Functions and Invariant Measures of Markov Processes.- Green Functions and Conditioned Gauge Theorem for a 2-Dimensional Domain.- Correction.
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