ISBN-13: 9783319770185 / Angielski / Miękka / 2018 / 96 str.
This book describes and characterizes an extension to the classical path coupling method applied to statistical mechanical models, referred to as aggregate path coupling.
Preface.- Coupling, Path Coupling, and Mixing Times.- Statistical Mechanical Models and Glauber Dynamics.- Large Deviations and Equilibrium Macrostate Phase Transitions.- Path Coupling for Curie-Weiss Model.- Aggregate Path Coupling: One Dimensional Theory.- Aggregate Path Coupling: Higher Dimensional Theory.- Aggregate Path Coupling: Beyond Kn.
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