Kooperativer Bibliotheksverbund

UID:

Format: XIII, 492 p. 8 illus. , online resource.

ISBN: 9783662047439

Content: This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan­ uary until July, 2000. Beside the activities during the semester, there were workshops held in January, March and July, the first being of introductory nature with five short courses delivered over a week. Although the quality of the workshops was excellent throughout the semester, the idea of these proceedings came about during the March workshop, which is hence more prominently represented, The format of the volume has undergone many changes, but what has remained untouched is the enthusiasm of the contributors since the onset of the project: suffice it to say that even though only two months elapsed between the time we contacted the potential authors and the deadline to submit the papers, the deadline was respected in the vast majority of the cases. The scope of the papers is not completely uniform throughout the volume, although there are some points in common. We asked the authors to write papers keeping in mind the idea that they should be accessible to students. At the same time, we wanted the papers not to be a summary of results that appeared somewhere else.

Note: Quasi-Conformal Geometry and Hyperbolic Geometry -- On and Around the Bounded Cohomology of SL2 -- Densité d’orbites d’actions de groupes linéaires et propriétés d’équidistribution de marches aléatoires -- Exceptional Sets in Dynamical Systems and Diophantine Approximation -- An Introduction to Cocycle Super-Rigidity -- Rigid Geometric Structures and Representations of Fundamental Groups -- Coarse-Geometric Perspective on Negatively Curved Manifolds and Groups -- On Orbit Equivalence of Measure Preserving Actions -- The Margulis Invariant of Isometric Actions on Minkowski (2+l)-Space -- Diophantine Approximation in Negatively Curved Manifolds and in the Heisenberg Group -- Appendix: Diophantine Approximation on Hyperbolic Surfaces -- Bounded Cohomology, Boundary Maps, and Rigidity of Representations into Homeo+(S1) and SU(1, n) -- SAT Actions and Ergodic Properties of the Horosphere Foliation -- Nonexpanding Maps, Busemann Functions, and Multiplicative Ergodic Theory -- The Phase Space of k-Surfaces -- Schottky Subgroups of Mapping Class Groups and the Geometry of Surface-by-Free Groups -- Actions of Semisimple Lie Groups with Stationary Measure -- On the Cohomology of Anosov Actions -- Harmonic Analysis and Hecke Operators -- Lp-Cohomology and Pinching -- Classical and Non-Linearity Properties of Kac-Moody Lattices -- Actions of Maximal Tori on Homogeneous Spaces -- Dynamics on Parameter Spaces: Submanifold and Fractal Subset Questions -- Superrigid Subgroups and Syndetic Hulls in Solvable Lie Groups -- Square Tiled Surfaces and Teichmüller Volumes of the Moduli Spaces of Abelian Differentials -- On Property (T) for Discrete Groups.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9783642077517

Language: English

Keywords: Konferenzschrift

DOI: 10.1007/978-3-662-04743-9

URL: http://dx.doi.org/10.1007/978-3-662-04743-9

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: Cover

URL: Inhaltstext

UID:

Format: XIII, 492 S , Ill., graph. Darst , 24 cm

ISBN: 3540432434

Note: Literaturangaben

Language: English

Subjects: Mathematics

Keywords: Starrheit ; Starrheit ; Konferenzschrift ; Kongress ; Konferenzschrift

URL: Cover

URL: Inhaltsverzeichnis

URL: Inhaltstext

URL: Inhaltsverzeichnis

URL: http://digitale-objekte.hbz-nrw.de/webclient/DeliveryManager?pid=1476943&custom_att_2=simple_viewer

UID:

Format: 1 online resource (532 p.)

ISBN: 9783110198089 , 9783110637205

Series Statement: De Gruyter Proceedings in Mathematics

Content: 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.

Content: 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.

Note: Frontmatter -- , Table of contents -- , Surveys and longer articles -- , Some Markov chains on abelian groups with -- , applications -- , Random walks and physical models on infinite -- , graphs: an introduction -- , The Garden of Eden Theorem for cellular automata -- , and for symbolic dynamical systems -- , Expander graphs, random matrices and quantum -- , chaos -- , The Ihara zeta function of infinite graphs, the KNS -- , spectral measure and integrable maps -- , Simplicité de spectres de Lyapounov et propriété -- , d'isolation spectrale pour une famille d'opérateurs de transfert sur -- , l'espace projectif -- , An introduction to the Stochastic Loewner -- , Evolution -- , A canonical form for automorphisms of totally -- , disconnected locally compact groups -- , Research communications -- , On the classification of invariant measures for -- , horosphere foliations on nilpotent covers of negatively curved -- , manifolds -- , Markov processes on vermiculated spaces -- , Cactus trees and lower bounds on the spectral -- , radius of vertex-transitive graphs -- , Equilibrium measure, Poisson kernel and effective -- , resistance on networks -- , Internal diffusion limited aggregation on discrete -- , groups of polynomial growth -- , On the physical relevance of random walks: an -- , example of random walks on a randomly oriented lattice -- , Random walks, entropy and hopfianity of free -- , groups -- , Growth rates of small cancellation groups -- , Recurrence properties of random walks on finite -- , volume homogeneous manifolds -- , On the cohomology of foliations with amenable -- , groupoid -- , Linear rate of escape and convergence in -- , direction -- , Remarks on harmonic functions on affine -- , buildings -- , Random walks, spectral radii, and Ramanujan -- , graphs -- , Cogrowth of arbitrary graphs -- , Total variation lower bounds for finite Markov -- , chains: Wilson's lemma -- , Backmatter , Mode of access: Internet via World Wide Web. , In English.

In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205

In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2008, De Gruyter, 9783110212129

In: E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2008, De Gruyter, 9783110212136

In: E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2008, De Gruyter, 9783110209082

Additional Edition: ISBN 9783110172379

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110198089

URL: https://doi.org/10.1515/9783110198089

URL: https://www.degruyter.com/isbn/9783110198089

URL: Cover