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The Ergodic Theory of Lattice Subgroups (AM-172)

The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional;

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Introduction to Arithmetic Groups

the proofs of these theorems, the book provides primers on lattice subgroups, arithmetic groups, real rank and Q-rank, ergodic theory, unitary;

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Introduction to Arithmetic Groups

the proofs of these theorems, the book provides primers on lattice subgroups, arithmetic groups, real rank and Q-rank, ergodic theory, unitary;

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Operator Theoretic Aspects of Ergodic Theory

theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory;

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Lattices and Ordered Sets

: I do not discuss the applications of lattice theory to physics, computer science or other disciplines. Lattice theory began in the early;

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Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78

symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his;

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Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory

This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti;

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Periodic Locally Compact Groups

material on locally compact groups including the Chabauty topology on the space of closed subgroups of a locally compact group, its Sylow theory;

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An Introduction to Ergodic Theory

The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such;

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Infinite Ergodic Theory of Numbers

of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued;

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Ergodic Theory

This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and;

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Introduction to Ergodic Theory (MN-18), Volume 18

Based on lectures in Erevan, this exposition of ergodic theory contains a rich collection of examples well chosen to introduce the reader;

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Lyapunov Exponents and Smooth Ergodic Theory

This book is a systematic introduction to smooth ergodic theory. The topics discussed include the general (abstract) theory of Lyapunov;

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A First Course in Ergodic Theory

A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the;

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Invariant & Quasiinvariant Measures in Infinite-Dimensional Topological Vector Spaces

This monograph deals with certain aspects of the general theory of systems. The author develops the ergodic theory, which is the theory;

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Lie Groups and Ergodic Theory

This volume presents the proceedings from an international colloquium on Lie groups and ergodic theory held at the Tata Institute;

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Ergodic Theory

proximal relations Limit directions of a vector cocycle, remarks and examples Optimal norm approximation in ergodic theory The iterated;

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Kazhdan's Property T

large variety of subjects, including discrete subgroups of Lie groups, ergodic theory, random walks, operator algebras, combinatorics, and;

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Topics in Dynamics and Ergodic Theory

comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory, topological;

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Ergodic Theory via Joinings

This book is an introduction to modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more;

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Introduction to Lattice Theory with Computer Science Applications

treatment of the theory and applications of lattice theory. The applications covered include tracking dependency in distributed systems;

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Ergodic Theory and Its Connection With Harmonic Analysis

the relationship of ergodic theory with convergence, rigidity theory and the theory of joinings. These papers present the background of each;

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Lattice Concepts of Module Theory

It became more and more usual, from, say, the 1970s, for each book on Module Theory, to point out and prove some (but in no more than 15 to;

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Dynamical Systems and Semisimple Groups

. The main goal is to serve as an entry into the literature on the ergodic theory of measure preserving actions of semisimple Lie groups. The;

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Dynamical Systems and Semisimple Groups

. The main goal is to serve as an entry into the literature on the ergodic theory of measure preserving actions of semisimple Lie groups. The;

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Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees

geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the authors extend the theory of Patterson;

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Spectral Theory of Dynamical Systems

This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and;

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