Download or read book Probability and Lattices written by Wim Vervaat and published by . This book was released on 1997 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probabilistic Lattices With Applications To Psychology written by Louis E Narens and published by World Scientific. This book was released on 2014-12-30 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many books on lattice theory in the field, but none interfaces with the foundations of probability. This book does. It also develops new probability theories with rigorous foundations for decision theory and applies them to specific well-known problematic examples. There is only one other book that attempts this. It uses quantum probability theory from physics. The new probability theories developed in this book are different; they are not borrowed from physics but are explicitly designed for decision theory.
Download or read book Probability on Graphs written by Geoffrey Grimmett and published by . This book was released on 2010 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2018-01-25 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. This new edition features accounts of major recent progress, including the exact value of the connective constant of the hexagonal lattice, and the critical point of the random-cluster model on the square lattice. The choice of topics is strongly motivated by modern applications, and focuses on areas that merit further research. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
Download or read book Probability on Graphs written by Geoffrey Grimmett and published by Cambridge University Press. This book was released on 2010-06-24 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm-Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises.
Download or read book Statistical Mechanics of Lattice Systems written by Sacha Friedli and published by Cambridge University Press. This book was released on 2017-11-23 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Download or read book Resonance Escape Probability in Lattices written by R. F. Christy and published by . This book was released on 1944 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lattice Path Counting and Applications written by Gopal Mohanty and published by Academic Press. This book was released on 2014-07-10 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Lattice Path Counting and Applications focuses on the principles, methodologies, and approaches involved in lattice path counting and applications, including vector representation, random walks, and rank order statistics. The book first underscores the simple and general boundaries of path counting. Topics include types of diagonal steps and a correspondence, paths within general boundaries, higher dimensional paths, vector representation, compositions, and domination, recurrence and generating function method, and reflection principle. The text then examines invariance and fluctuation and random walk and rank order statistics. Discussions focus on random walks, rank order statistics, Chung-Feller theorems, and Sparre Andersen's equivalence. The manuscript takes a look at convolution identities and inverse relations and discrete distributions, queues, trees, and search codes, as well as discrete distributions and a correlated random walk, trees and search codes, convolution identities, and orthogonal relations and inversion formulas. The text is a valuable reference for mathematicians and researchers interested in in lattice path counting and applications.
Download or read book On Probability Distribution Arising from Points on a Lattice written by Constance van Eden and published by . This book was released on 1959 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Lattice Characterization of Probability Theory written by Richard Eisenman and published by . This book was released on 1950 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Congruences of a Finite Lattice written by George Grätzer and published by Springer Science & Business Media. This book was released on 2007-05-24 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-contained exposition presents the major results on congruence lattices of finite lattices Includes the latest findings from a pioneering researcher in the field Features the author's signature "Proof-by-Picture" method and its conversion to transparencies Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems Excellent grad text and reference
Download or read book Theories of Probability written by Louis Narens and published by World Scientific. This book was released on 2007 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standard probability theory has been an enormously successful contribution to modern science. However, from many perspectives it is too narrow as a general theory of uncertainty, particularly for issues involving subjective uncertainty. This first-of-its-kind book is primarily based on qualitative approaches to probabilistic-like uncertainty, and includes qualitative theories for the standard theory as well as several of its generalizations.One of these generalizations produces a belief function composed of two functions: a probability function that measures the probabilistic strength of an uncertain event, and another function that measures the amount of ambiguity or vagueness of the event. Another unique approach of the book is to change the event space from a boolean algebra, which is closely linked to classical propositional logic, to a different event algebra that is closely linked to a well-studied generalization of classical propositional logic known as intuitionistic logic. Together, these new qualitative theories succeed where the standard probability theory fails by accounting for a number of puzzling empirical findings in the psychology of human probability judgments and decision making.
Download or read book Lattice Duality written by Kevin H. Knuth and published by BiblioGov. This book was released on 2013-08 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian probability theory is an inference calculus, which originates from a generalization of inclusion on the Boolean lattice of logical assertions to a degree of inclusion represented by a real number. Dual to this lattice is the distributive lattice of questions constructed from the ordered set of down-sets of assertions, which forms the foundation of the calculus of inquiry-a generalization of information theory. In this paper we introduce this novel perspective on these spaces in which machine learning is performed and discuss the relationship between these results and several proposed generalizations of information theory in the literature.
Download or read book The Theory and Applications of Probability Distributions of Points in a Lattice written by P. V. Krishna Iyer and published by . This book was released on 1948 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistical Mechanics of Lattice Systems written by David Lavis and published by Springer Science & Business Media. This book was released on 1999-03-08 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the interesting and difficult problems in statistical mechanics arise when the constituent particles of the system interact with each other with pair or multipartiele energies. The types of behaviour which occur in systems because of these interactions are referred to as cooperative phenomena giving rise in many cases to phase transitions. This book and its companion volume (Lavis and Bell 1999, referred to in the text simply as Volume 1) are princi pally concerned with phase transitions in lattice systems. Due mainly to the insights gained from scaling theory and renormalization group methods, this subject has developed very rapidly over the last thirty years. ' In our choice of topics we have tried to present a good range of fundamental theory and of applications, some of which reflect our own interests. A broad division of material can be made between exact results and ap proximation methods. We have found it appropriate to inelude some of our discussion of exact results in this volume and some in Volume 1. Apart from this much of the discussion in Volume 1 is concerned with mean-field theory. Although this is known not to give reliable results elose to a critical region, it often provides a good qualitative picture for phase diagrams as a whole. For complicated systems some kind of mean-field method is often the only tractable method available. In this volume our main concern is with scaling theory, algebraic methods and the renormalization group.
Download or read book Continuous Geometries with a Transition Probability written by John Von Neumann and published by American Mathematical Soc.. This book was released on 1981 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: Axioms where are motivated by quantum mechanics are formulated for a probability-logic system. It is shown that these axioms characterize precisely those lattices which are lattices of all projections in a irreducible von Neumann algebra of type II1 or I[subscript]N, N [greater-than or equal to] 4 in Hilbert spaces of arbitrary dimension and real or complex scalars.
Download or read book On Probability Distributions Arising from Points on a Lattice written by Constance Van Eeden and published by . This book was released on 1959 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
