Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Group theory --- Differential geometry. Global analysis --- Algebraic topology --- Topological groups. Lie groups --- Operator theory --- Discrete mathematics --- analyse (wiskunde) --- topologie (wiskunde) --- differentiaal geometrie --- discrete wiskunde --- wiskunde

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics addressed in the book include amenable groups, Kaehler groups, automorphism groups of rooted trees, rigidity, C*-algebras, random walks on groups, pro-p groups, Burnside groups, parafree groups, and Fuchsian groups. The accent is put on strong connections between group theory and other areas of mathematics, such as dynamical systems, geometry, operator algebras, probability theory, and others. This interdisciplinary approach makes the book interesting to a large mathematical audience. Contributors: G. Baumslag A.V. Borovik T. Delzant W. Dicks E. Formanek R. Grigorchuk M. Gromov P. de la Harpe A. Lubotzky W. Lück A.G. Myasnikov C. Pache G. Pisier A. Shalev S. Sidki E. Zelmanov.

Infinite groups. --- Ergodic theory. --- Selfadjoint operators. --- Differential topology. --- Geometry, Differential --- Topology --- Operators, Selfadjoint --- Self-adjoint operators --- Linear operators --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Groups, Infinite --- Group theory --- Group theory. --- Topological Groups. --- Combinatorics. --- Operator theory. --- Global differential geometry. --- Algebraic topology. --- Group Theory and Generalizations. --- Topological Groups, Lie Groups. --- Operator Theory. --- Differential Geometry. --- Algebraic Topology. --- Functional analysis --- Combinatorics --- Algebra --- Mathematical analysis --- Groups, Topological --- Groups, Theory of --- Substitutions (Mathematics) --- Topological groups. --- Lie groups. --- Differential geometry. --- Differential geometry --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Die jüngsten Entwicklungen zeigen, dass sich Wahrscheinlichkeitsverfahren zu einem sehr wirkungsvollen Werkzeug entwickelt haben, und das auf so unterschiedlichen Gebieten wie statistische Physik, dynamische Systeme, Riemann'sche Geometrie, Gruppentheorie, harmonische Analyse, Graphentheorie und Informatik. Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science. This volume is an outcome of the special semester 2001 - Random Walks held at the Schrödinger Institute in Vienna, Austria. It contains original research articles with non-trivial new approaches based on applications of random walks and similar processes to Lie groups, geometric flows, physical models on infinite graphs, random number generators, Lyapunov exponents, geometric group theory, spectral theory of graphs and potential theory. Highlights are the first survey of the theory of the stochastic Loewner evolution and its applications to percolation theory (a new rapidly developing and very promising subject at the crossroads of probability, statistical physics and harmonic analysis), surveys on expander graphs, random matrices and quantum chaos, cellular automata and symbolic dynamical systems, and others. The contributors to the volume are the leading experts in the area. The book will provide a valuable source both for active researchers and graduate students in the respective fields.

Random walks (Mathematics) --- Geometry --- Additive process (Probability theory) --- Random walk process (Mathematics) --- Walks, Random (Mathematics) --- Stochastic processes --- Random walks (Mathematics) - Congresses --- Geometry - Congresses