Recent trends in ergodic theory and dynamical systems : international conference in honor of S. G. Dani's 65th birthday recent trends in ergodic theory and dynamical systems December 26-29, 2012 Vadodara, India / / Siddhartha Bhattacharya, [and three others], editors

• Record Nr.: UNINA9910820630303321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2015; ©2015
• ISBN: 1-4704-2219-0
• Descrizione fisica: 1 online resource (258 p.)
• Collana: Contemporary mathematics, , 1098-3627 ; ; 631 , 0271-4132
• Classificazione: 05Bxx11Txx11Gxx12Exx12Fxx12Yxx20Cxx51Exx94Axx94Bxx
• Disciplina: 515/.48
• Soggetti: Differentiable dynamical systems; Ergodic theory; Mathematical analysis
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: A new connection between metric theory of Diophantine approximations and distribution of algebraic numbers -- 1. Introduction -- 2. Effective theorems in metric theory of Diophantine approximations of dependent variables -- 3. Distribution of conjugate algebraic numbers -- 4. Distribution of resultants of integral polynomials -- 5. Distribution of discriminants of integral polynomials -- 6. Algebraic numbers in small intervals -- References -- The gap distribution of slopes on the golden L -- 1. Introduction -- 2. Strata, \SL(2,\R)-action, and Veech groups -- 3. Horocycle flows and first return maps -- 4. Ergodicity and equidistribution -- 5. Further questions -- A. Explicit formulas for the probability distribution function -- B. Volume computations -- C. Quadratic Asymptotics -- References -- Uniformly recurrent subgroups -- Introduction -- 1. Stability systems -- 2. Homogeneity properties of a URS -- 3. URS's for Wreath products -- 4. Applications to ergodic systems -- 5. Uncountably many URS's for â?? -- 6. Realizations of URS's as stability systems -- References -- Values of binary quadratic forms at integer points and Schmidt games -- 1. Introduction -- 2. Dynamics and ; gaps between values of quadratic forms -- 3. Schmidt games -- 4. Transversality and reduction to discrete time actions -- 5. Completion of the proof: the percentage game -- References -- Conformal families of measures for general iterated function systems -- 1. Introduction -- 2. Iterated Function Systems -- 3. Conformal Measures -- References -- Dani's work on probability measures on groups -- 1. Introduction to the embedding problem -- 2. The embedding problem on connected Lie groups -- 3. A basic technique and its applications -- 4. Recent results on the embedding problem on Lie groups -- 5. The embedding problem on general locally compact groups -- References -- On the homogeneity at infinity of the stationary probability for an affine random walk -- 1. Introduction -- 2. Calculation of invariant measures on â?? in a special case -- 3. Proof of Theorem 1.1 -- 4. Appendix -- References -- Dani's work on dynamical systems on homogeneous spaces -- 1. Unipotent flows -- 2. Applications in Number Theory.