LEADER 04416nam 2200589 450 001 9910820630303321 005 20220902052941.0 010 $a1-4704-2219-0 035 $a(CKB)3150000000020213 035 $a(EBL)3114308 035 $a(SSID)ssj0001451539 035 $a(PQKBManifestationID)11835726 035 $a(PQKBTitleCode)TC0001451539 035 $a(PQKBWorkID)11477167 035 $a(PQKB)11672547 035 $a(MiAaPQ)EBC3114308 035 $a(RPAM)18174748 035 $a(PPN)197102743 035 $a(EXLCZ)993150000000020213 100 $a20150416h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aRecent trends in ergodic theory and dynamical systems $einternational conference in honor of S. G. Dani's 65th birthday recent trends in ergodic theory and dynamical systems December 26-29, 2012 Vadodara, India /$fSiddhartha Bhattacharya, [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2015. 210 4$dİ2015 215 $a1 online resource (258 p.) 225 1 $aContemporary mathematics,$x1098-3627 ;$v631$x0271-4132 300 $aDescription based upon print version of record. 311 $a1-4704-0931-3 320 $aIncludes bibliographical references at the end of each chapters. 327 $aA 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 a??? -- 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 a??? 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. 410 0$aContemporary mathematics (American Mathematical Society).$v631$x0271-4132 606 $aDifferentiable dynamical systems$vCongresses 606 $aErgodic theory$vCongresses 606 $aMathematical analysis$vCongresses 615 0$aDifferentiable dynamical systems 615 0$aErgodic theory 615 0$aMathematical analysis 676 $a515/.48 686 $a05Bxx$a11Txx$a11Gxx$a12Exx$a12Fxx$a12Yxx$a20Cxx$a51Exx$a94Axx$a94Bxx$2msc 702 $aBhattacharya$b Siddhartha$f1971- 702 $aDani$b S. G 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910820630303321 996 $aRecent trends in ergodic theory and dynamical systems$94103008 997 $aUNINA