In this book, the author announces the class of problems called "entropy of knots" and gives an overview of modern physical applications of existing topological invariants.He constructs statistical models on knot diagrams and braids using the representations of Jones-Kauffman and Alexander invariants and puts forward the question of limit distribution of these invariants for randomly generated knots. The relation of powers of corresponding algebraic invariants to the Lyapunov exponents of the products of noncommutative ...
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In this book, the author announces the class of problems called "entropy of knots" and gives an overview of modern physical applications of existing topological invariants.He constructs statistical models on knot diagrams and braids using the representations of Jones-Kauffman and Alexander invariants and puts forward the question of limit distribution of these invariants for randomly generated knots. The relation of powers of corresponding algebraic invariants to the Lyapunov exponents of the products of noncommutative matrices is described. Also the problem of conditional joint limit distributions for "brownian bridges" on braids is discussed. Special cases of noncommutative groups PSL(2, R), PSL(2, Z) and braid groups are considered in detail.In this volume, the author also discusses the application of conformal methods for explicit construction of topological invariants for random walks on multiconnected manifolds. The construction of these topological invariants and the monodromy properties of correlation function of some conformal theories are also discussed.The author also considers the physical applications of "knot entropy" problem in various physical systems, focussing on polymers.
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Add this copy of Statistics of Knots and Entangled Random Walks to cart. $32.00, fair condition, Sold by HaroldsBooks rated 4.0 out of 5 stars, ships from Corydon, IA, UNITED STATES, published 1996 by World Scientific.
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Acceptable/No Jacket. 9810225199 Ex-Library Ex-library with the usual features. The interior is clean and tight. Binding is good. Cover shows light wear and has library label taped on spine. 190 pages.
Add this copy of Statistics of Knots and Entangled Random Walks to cart. $32.50, very good condition, Sold by Suffolk Books rated 4.0 out of 5 stars, ships from center moriches, NY, UNITED STATES, published 1996 by World Scientific Publishing Company.
Add this copy of Statistics of Knots and Entangled Random Walks to cart. $65.40, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1996 by World Scientific Pub Co Inc.
