On Dobrushins Way
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| Author | : Robert A. Minlos |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 260 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9780821821503 |
Fellow Russian mathematicians discuss and extend the works of Dobrushin (1929-95,), who worked in many areas of mathematics, but had deepest influence on mathematical physics and was one of the founders of the rigorous study of statistical physics. The 15 technical papers are flanked by a short biography and recollections by colleagues and students. The topics include the lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model, non-symmetric simple random walks along orbits of ergodic automorphisms, the Cramer transform and large deviations on three- dimensional Lobachevsky space, and dynamics of Ising-spin systems at zero temperature. No index is provided. Annotation copyrighted by Book News, Inc., Portland, OR.
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| Publisher | : |
| Total Pages | : |
| Release | : 1955 |
| Genre | : Group theory |
| ISBN | : 9780821821503 |
| Author | : Sacha Friedli |
| Publisher | : Cambridge University Press |
| Total Pages | : 643 |
| Release | : 2017-11-23 |
| Genre | : Mathematics |
| ISBN | : 1107184827 |
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
| Author | : Josep Diaz |
| Publisher | : Springer |
| Total Pages | : 532 |
| Release | : 2006-08-29 |
| Genre | : Computers |
| ISBN | : 3540380450 |
This is the joint refereed proceedings of the 9th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2006 and the 10th International Workshop on Randomization and Computation, RANDOM 2006. The book presents 44 carefully reviewed and revised full papers. Among the topics covered are design and analysis of approximation algorithms, hardness of approximation problems, small spaces and data streaming algorithms, embeddings and metric space methods, and more.
| Author | : József Lörinczi |
| Publisher | : Walter de Gruyter |
| Total Pages | : 521 |
| Release | : 2011-08-29 |
| Genre | : Mathematics |
| ISBN | : 3110203731 |
This monograph offers a state-of-the-art mathematical account of functional integration methods in the context of self-adjoint operators and semigroups using the concepts and tools of modern stochastic analysis. These ideas are then applied principally to a rigorous treatment of some fundamental models of quantum field theory. In this self-contained presentation of the material both beginners and experts are addressed, while putting emphasis on the interdisciplinary character of the subject.
| Author | : Russ Bubley |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 167 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 1447106954 |
Randomized Algorithms discusses two problems of fine pedigree: counting and generation, both of which are of fundamental importance to discrete mathematics and probability. When asking questions like "How many are there?" and "What does it look like on average?" of families of combinatorial structures, answers are often difficult to find -- we can be blocked by seemingly intractable algorithms. Randomized Algorithms shows how to get around the problem of intractability with the Markov chain Monte Carlo method, as well as highlighting the method's natural limits. It uses the technique of coupling before introducing "path coupling" a new technique which radically simplifies and improves upon previous methods in the area.
| Author | : FRITZ |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 489 |
| Release | : 2013-11-22 |
| Genre | : Science |
| ISBN | : 1489966536 |
| Author | : R. L. Dobrushin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 204 |
| Release | : 1992 |
| Genre | : Science |
| ISBN | : 9780821845639 |
A theory of the equilibrium shape of crystal assuming minimal surface free energy was formulated at the beginning of the century by Wulff. Assuming that the anisotropic interfacial free energy (depending on the orientation of the interface with respect to the crystal axes) is known, the Wulff construction yields the shape of crystal in equilibrium and allows one to understand its main features. This research monograph considers the Wulff construction in the case of a two-dimensional Ising ferromagnet with periodic boundary conditions and at sufficiently low temperatures.Namely, the authors investigate the phenomenon of phase separation in a (small) canonical ensemble characterized by a fixed total spin in a finite volume. Its value is chosen to lie in the interval between the spontaneous magnetizations of pure phases. Heuristically, the main result can be stated this way: a droplet of one phase immersed in the opposite one will be formed with the separation line following with high accuracy the shape yielded by the Wulff construction. The book brings the reader through the entire development of the proof of this result.
| Author | : Gennady Estraikh |
| Publisher | : Routledge |
| Total Pages | : 198 |
| Release | : 2016-05-20 |
| Genre | : Foreign Language Study |
| ISBN | : 1317198794 |
Children have occupied a prominent place in Yiddish literature since early modern times, but children’s literature as a genre has its beginnings in the early 20th century. Its emergence reflected the desire of Jewish intellectuals to introduce modern forms of education, and promote ideological agendas, both in Eastern Europe and in immigrant communities elsewhere. Before the Second World War, a number of publishing houses and periodicals in Europe and the Americas specialized in stories, novels and poems for various age groups. Prominent authors such as Yankev Glatshteyn, Der Nister, Joseph Opatoshu, Leyb Kvitko, made original contributions to the genre, while artists, such as Marc Chagall, El Lissitzky and Yisakhar Ber Rybak, also took an active part. In the Soviet Union, meanwhile, children’s literature provided an opportunity to escape strong ideological pressure. Yiddish children’s literature is still being produced today, both for secular and strongly Orthodox communities. This volume is a pioneering collective study not only of children’s literature but of the role played by children in literature.
| Author | : Cédric Villani |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 970 |
| Release | : 2008-10-26 |
| Genre | : Mathematics |
| ISBN | : 3540710507 |
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.
