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Titlebook: Spatial Stochastic Processes; A Festschrift in Hon Kenneth S. Alexander,Joseph C. Watkins Book 1991 Springer Science+Business Media New Yor

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书目名称Spatial Stochastic Processes
副标题A Festschrift in Hon
编辑Kenneth S. Alexander,Joseph C. Watkins
视频video
丛书名称Progress in Probability
图书封面Titlebook: Spatial Stochastic Processes; A Festschrift in Hon Kenneth S. Alexander,Joseph C. Watkins Book 1991 Springer Science+Business Media New Yor
描述This volume has been created in honor of the seventieth birthday of Ted Harris, which was celebrated on January 11th, 1989. The papers rep­ resent the wide range of subfields of probability theory in which Ted has made profound and fundamental contributions. This breadth in Ted‘s research complicates the task of putting together in his honor a book with a unified theme. One common thread noted was the spatial, or geometric, aspect of the phenomena Ted investigated. This volume has been organized around that theme, with papers covering four major subject areas of Ted‘s research: branching processes, percola­ tion, interacting particle systems, and stochastic flows. These four topics do not· exhaust his research interests; his major work on Markov chains is commemorated in the standard technology "Harris chain" and "Harris recurrent" . The editors would like to take this opportunity to thank the speakers at the symposium and the contributors to this volume. Their enthusi­ astic support is a tribute to Ted Harris. We would like to express our appreciation to Annette Mosley for her efforts in typing the manuscripts and to Arthur Ogawa for typesetting the volume. Finally, we gratefully
出版日期Book 1991
关键词Branching process; Harris chain; Markov chain; Probability theory; Stochastic processes; branching random
版次1
doihttps://doi.org/10.1007/978-1-4612-0451-0
isbn_softcover978-1-4612-6766-9
isbn_ebook978-1-4612-0451-0Series ISSN 1050-6977 Series E-ISSN 2297-0428
issn_series 1050-6977
copyrightSpringer Science+Business Media New York 1991
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Dynamic Renormalization and Continuity of the Percolation Transition in OrthantsA dynamic renormalization procedure, presented in the context of independent nearest-neighbor percolation in the .dimensional orthant ℤ.. implies the absence of percolation at the critical point, together with related results.
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Asymptotics in High Dimensions For the Fortuin-Kasteleyn Random Cluster ModelWe consider the Fortuin-Kasteleyn cluster model which is related to the percolation model and the Potts model. We give the asymptotic behavior of the critical probability and the percolation probability as the dimension . tends to infinity, in the case where . (which corresponds to the number of colors in the Potts model) lies between 1 and 2.
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