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endobj %PDF-1.4 Please review prior to ordering, ebooks can be used on all reading devices, Institutional customers should get in touch with their account manager, Usually ready to be dispatched within 3 to 5 business days, if in stock, The final prices may differ from the prices shown due to specifics of VAT rules. … The reprint is well-made and easy to read. << /S /GoTo /D (subsection.7) >> (3.2 Stationary measures) (2.1 Stationary measures and conserved quantities) 44 0 obj In addition to his teaching and research activities, he has been active in academic administration, serving as vice-chair and chair of the UCLA Department of Mathematics. << /S /GoTo /D (subsection.325) >> It provided an ideal way for a young probabilist to test his mettle: The challenge was to solve as many of Spitzer's problems as he could. His early education took place primarily in Buenos Aires, Argentina and San Juan, Puerto Rico. It seems that you're in USA. << /S /GoTo /D (section*.2) >> stream 24 0 obj endobj Examples exist within all areas of natural and social sciences, such as traffic flow on highways, pedestrians or constituents of a cell, opinion dynamics, spread of epi- << /S /GoTo /D (subsection.359) >> 64 0 obj (1.1 Continuous time Markov chains and graphical representations) (1 Basic theory) Interacting particle systems can often be constructed from a graphical representation, by applying local maps at the times of associated Poisson processes. (1.2 Two basic IPS) He has written two books (the other is. It will be welcomed by all specialists in the field." << /S /GoTo /D (subsection.179) >> endobj endobj endobj endobj 47 0 obj Interacting particle systems (IPS) are models for complex phenomena involving a large number of interrelated components. Professor Liggett's interest in interacting particle systems began shortly after his move to UCLA, when he read a preprint of Frank Spitzer's fundamental 1970 paper. endobj 68 0 obj 23 0 obj endobj endobj JavaScript is currently disabled, this site works much better if you The book is highly recommended to everyone who works on or is interested in this subject: to probabilists, physicists and theoretical biologists. 35 0 obj endobj %���� 27 0 obj << /S /GoTo /D (section.234) >> 7 0 obj 48 0 obj 15 0 obj Cite this chapter as: Méléard S. (1996) Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models. It is an unusual paper, in that it is much more concerned with descriptions of models and statements of open problems than with proofs of theorems. 36 0 obj … Springer’s decision to republish it as a "Classic in Mathematics’, making it available at an affordable price, thus is very welcome." endobj endobj 91 0 obj endobj (4.4 Results for =Zd) 51 0 obj /Filter /FlateDecode endobj He has also contributed to a number of other fields, including nonlinear semigroups, subadditive ergodic theory, negative dependence, optimal stopping, combinatorics, random graphs, and renewal theory. We have a dedicated site for USA. 32 0 obj Spitzer in Mathematical Reviews, 1986, " [...] This book, the first monographic presentation of this important and rapidly developing theory, will prove indispensable to every serious student of stochastics [...]" S. Gacsályi in Publicationes Mathematicae, 1986, "[...] However, it can be said that the author has succeeded in what even experts are seldom able to achieve: To write a clearcut and inspiring book on his favorite subject which meets most, if not all requirements which can be imposed on a comprehensive text on an important new field. 117 0 obj << 55 0 obj << /S /GoTo /D (label_Contents.1) >> 67 0 obj price for Spain << /S /GoTo /D (subsection.38) >> endobj << /S /GoTo /D (section.323) >> endobj >> "This is a paperback reprint, in Springer’s Classics in Mathematics series, of a book originally published in 1985 in the Grundlehren series. 56 0 obj << /S /GoTo /D (section.3) >> endobj 88 0 obj 11 0 obj He continued his study of probability at Stanford, taking many classes with Kai Lai Chung, and writing a thesis on problems related to the invariance principle with Samuel Karlin. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes) and over 60 papers in this area. 12 0 obj (Introduction)

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