64 0 obj 83 0 obj 40 0 obj He has written two books (the other is. CYBER DEAL: 50% off all Springer eBooks | Get this offer! [...]F.L. endobj (1.2 Two basic IPS) enable JavaScript in your browser. [...]"G. Rosenkranz in Methods of Information in Medicine, 1986. endobj endobj (Contents) Thomas Liggett was born on March 29, 1944 in Danville, Kentucky. (4.3 Invariant measures and critical values) We have a dedicated site for USA. It will be welcomed by all specialists in the field." t 0 be an interacting particle system with transition probabilities (P t) t 0 and generator of the form Gf(x) = X m2M r m f m(x) f x; where all maps in Mare monotone. endobj Construct X using a Poisson point process !and random maps (X s;t) s t. Then X s;t, being a composition of … None of this material has ever appeared in book form before. endobj endobj 91 0 obj endobj "This is a paperback reprint, in Springer’s Classics in Mathematics series, of a book originally published in 1985 in the Grundlehren series. (3 Zero-range processes) 60 0 obj 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. The book is highly recommended to everyone who works on or is interested in this subject: to probabilists, physicists and theoretical biologists. He was a Sloan and a Guggenheim Fellow, spoke at the the 1986 International Congress of Mathematicians, and was the 1996 Wald Memorial Lecturer for the Institute of Mathematical Statistics. endobj His early education took place primarily in Buenos Aires, Argentina and San Juan, Puerto Rico. 7 0 obj ...you'll find more products in the shopping cart. endobj 8 0 obj 1103 (5), 2007), The Construction, and Other General Results. 52 0 obj 35 0 obj x��X�n�8��+���͗^̢-�64H:Ffl!z�����Eٖ����L�YI2����������"J๸s(�`� ��H�;��s�Z*��X�����}�6Ӆ��9��7�4�]��X�~�Q�c1BL�w3�]Q��?����Ӣ���ݵ F��8�a�Ȍ�s� �M��_�H�q� 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. >> endobj << /S /GoTo /D (subsection.359) >> 67 0 obj 63 0 obj Interacting particle systems, in the sense we will be using the word in these lecture notes, are countable systems of locally interacting Markov processes. Authors: endobj 20 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. 71 0 obj %���� (Introduction) (2 The asymmetric simple exclusion process) In 1969 he joined the UCLA faculty; he has spent his entire career there. … The reprint is well-made and easy to read. (1 Basic theory) The subject of interacting particle systems has continued to be the main focus of his research. << /S /GoTo /D (label_Contents.1) >> The book is highly recommended to everyone who works on or is interested in this subject: to probabilists, physicists and theoretical biologists. << /S /GoTo /D (subsection.303) >> 31 0 obj 16 0 obj (2.4 Open boundaries and matrix product ansatz) 27 0 obj endobj 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 endobj ]�z�HZ�{b���rY'-��CNb`���3=n�l���#c���ҤOI�vǃo. It seems that you're in USA. 84 0 obj 23 0 obj endobj 4 0 obj << /S /GoTo /D (subsection.384) >> endobj (2.1 Stationary measures and conserved quantities) << /S /GoTo /D (subsection.27) >> << /S /GoTo /D (subsection.7) >> 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- The author can be congratulated on his excellent presentation of the theory of interacting particle systems. 11 0 obj 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. (4.4 Results for =Zd) 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. << /S /GoTo /D (subsection.332) >> << /S /GoTo /D (subsection.38) >> endobj << /S /GoTo /D (subsection.199) >> endobj << /S /GoTo /D (subsection.179) >> 88 0 obj endobj price for Spain 15 0 obj (1.4 Stationary measures and reversibility) This course is about the analysis of certain kinds of interacting particle systems, though the scope of application of the models we study has reached far beyond its origin in statistical mechanics. 72 0 obj Interacting particle systems (IPS) are models for complex phenomena involving a large number of interrelated components. endobj (3.3 Equivalence of ensembles and relative entropy) endobj /Filter /FlateDecode Each interacting particle system is de ne on a lattice: a countable set with (usually) some concept of distance de ned on it; the canonical choice is the d-dimensional integer lattice Zd. So, while we often stick with the term \particle," it should not be interpreted too literally. 79 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. Cite this chapter as: Méléard S. (1996) Asymptotic behaviour of some interacting particle systems; McKean-Vlasov and Boltzmann models. 44 0 obj (gross), © 2020 Springer Nature Switzerland AG. << /S /GoTo /D (subsection.249) >> endobj 36 0 obj (A. C. D. van Enter, Zentralblatt MATH, Vol. endobj Springer is part of, Probability Theory and Stochastic Processes, Please be advised Covid-19 shipping restrictions apply. endobj 80 0 obj 75 0 obj << /S /GoTo /D (subsection.72) >> 87 0 obj << /S /GoTo /D (subsection.141) >> 12 0 obj << /S /GoTo /D (subsection.325) >> /Length 1242 endobj 28 0 obj In: Talay D., Tubaro L. (eds) Probabilistic Models for Nonlinear Partial Differential Equations. (3.4 Phase separation and condensation) �Ǥ �#a�(�����ZV݂�R�ʼ�bi^J��ʼ��]�r�ӲQܖ�6��˼$e��|Bٗ��Ì��H3qk�y �>-ox/���d����:�o�[�5�E"A��� 0� �A��f��p�h��9h�E�s-E����s���u� ���� ����n&{_M (Fernando Q. Gouvêa, MathDL, January, 2005), "The book enjoys its well-deserved reputation, it still gives a good overview of relevant models and a number of useful methods, it is clear and reliable … and deserves to be consulted by any serious researchers in mathematics or statistical physics who is interested in stochastic evolutions of many-particle (or many-spin) systems.

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