000			06110nam a22005413i 4500
001			EBC3114308
003			MiAaPQ
005			20240729124605.0
006			m o d |
007			cr cnu||||||||
008			240724s2015 xx o ||||0 eng d
020			_a9781470422196 _q(electronic bk.)
020			_z9781470409319
035			_a(MiAaPQ)EBC3114308
035			_a(Au-PeEL)EBL3114308
035			_a(CaPaEBR)ebr11040312
035			_a(OCoLC)922981736
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA614.8 -- .R434 2015eb
082	0		_a515/.48
100	1		_aBhattacharya, Siddhartha.
245	1	0	_aRecent Trends in Ergodic Theory and Dynamical Systems.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2015.
264		4	_c©2014.
300			_a1 online resource (272 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics ; _vv.631
505	0		_aCover -- Title page -- Contents -- Preface -- S. G. Dani as I have known him -- Cubic averages and large intersections -- 0. Introduction -- 1. The Fubini principle -double and repeated Cesàro limits -- 2. Large cubic averages: proof of Theorem 0.6 -- 3. Furstenberg's correspondence principle for general amenable groups and its applications -- References -- Liouville property on -spaces -- 1. Introduction -- 2. Preliminaries -- 3. Actions on vector spaces -- 4. Actions on projective spaces -- 5. Miscellaneous remarks -- 6. Examples -- References -- 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 ₂ -- 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.
505	8		_a5. 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 ℝ 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 -- 3. Dynamics of non-unipotent homogeneous flows -- References -- Calculus of generalized Riesz products -- 1. Introduction -- 2. Generalized Riesz Products and their Weak Dichotomy -- 3. Outer Polynomials and Mahler Measure -- 4. A Formula for Radon Nikodym Derivative -- 5. A Conditional Strong Dichotomy and Other Discussion -- 6. Non-Singular Rank One Maps and Flat Polynomials -- 7. Zeros of Polynomials -- References -- Diophantine approximation exponents on homogeneous varieties -- 1. Introduction -- 2. Diophantine approximation and the shrinking target property -- 3. Diophantine exponents for group actions -- 4. Examples of Diophantine exponents -- References -- Ergodicity of principal algebraic group actions -- 1. Principal Algebraic Group Actions -- 2. Cohomological results -- 3. Ergodicity of principal actions -- References -- A note on three problems in metric Diophantine approximation -- 1. Multiplicatively -well approximable points.
505	8		_a2. Diophantine approximation on planar curves -- 3. Inhomogeneous badly approximable points -- References -- Dynamical invariants for group automorphisms -- 1. Introduction -- 2. Algebraic isomorphism -- 3. Topological conjugacy -- 4. Measurable isomorphism -- 5. One-solenoids and subgroups of the rationals -- 6. Counting closed orbits -- References -- Back Cover.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aDani, S. G.
650		0	_aDifferentiable dynamical systems -- Congresses.
650		0	_aErgodic theory -- Congresses.
650		0	_aMathematical analysis -- Congresses.
655		4	_aElectronic books.
700	1		_aDas, Tarun.
700	1		_aGhosh, Anish.
700	1		_aShah, Riddhi.
776	0	8	_iPrint version: _aBhattacharya, Siddhartha _tRecent Trends in Ergodic Theory and Dynamical Systems _dProvidence : American Mathematical Society,c2015 _z9781470409319
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114308 _zClick to View
999			_c69822 _d69822