Dynamical Systems, Ergodic Theory, and Probability : In Memory of Kolya Chernov (Contemporary Mathematics)

Dynamical Systems, Ergodic Theory, and Probability : In Memory of Kolya Chernov (Contemporary Mathematics)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 328 p.
  • 言語 ENG
  • 商品コード 9781470427733
  • DDC分類 515

Full Description

This volume contains the proceedings of the Conference on Dynamical Systems, Ergodic Theory, and Probability, which was dedicated to the memory of Nikolai Chernov, held from May 18-20, 2015, at the University of Alabama at Birmingham, Birmingham, Alabama. The book is devoted to recent advances in the theory of chaotic and weakly chaotic dynamical systems and its applications to statistical mechanics. The papers present new original results as well as comprehensive surveys.

Contents

L. Bunimovich, N. I. Chernov (1956-2014)
T. Adams and J. Rosenblatt, Joint coboundaries
P. Balint, N. Chernov, and D. Dolgopyat, Convergence of moments for dispersing billiards with cusps
E. Catsigeras, M. Cerminara, and H. Enrich, Weak pseudo-physical measures and Pesin's entropy formula for Anosov $C^1$-diffeomorphisms
C. Cox and R. Feres, No-slip billiards in dimension two
C. P. Dettmann, How sticky is the chaos/order boundary?
G. Galperin and M. Levi, Bouncing in gravitational field
N. T. A. Haydn and F. Yang, A derivation of the Poisson law for returns of smooth maps with certain geometrical properties
K. Khanin and S. Kocic, Rigidity for a class of generalized interval exchange transformations
C. C. Moxley and N. J. Simanyi, Homotopical complexity of a $3D$ billiard flow
M. Jakobson, Mixing properties of some maps with countable Markov partitions
Ya. G. Sinai and I. Vinogradov, Eigenfunctions of Laplacians in some two-dimensional domains
D. Szasz, Multidimensional hyperbolic billiards
X. Xia and P. Zhang, Homoclinic intersections for geodesic flows on convex spheres
H. Zhang, Decay of correlations for billiards with flat points I: Channel effects
H. Zhang, Decay of correlations for billiards with flat points II: Cusps effect.

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