000 | 02786nam a2200373Ki 4500 | ||
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001 | ocn852898462 | ||
003 | OCoLC | ||
005 | 20240726105352.0 | ||
008 | 130716s2000 enka ob 001 0 eng d | ||
040 |
_aNT _beng _erda _cNT |
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020 |
_a9781107089273 _q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk. |
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050 | 0 | 4 |
_aQA611 _b.E746 2000 |
049 | _aNTA | ||
100 | 1 |
_aBekka, M. Bachir. _e1 |
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245 | 1 | 0 | _aErgodic theory and topological dynamics of group actions on homogeneous spacesM. Bachir Bekka, Matthias Mayer. |
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_aCambridge, U.K. ; _aNew York : _bCambridge University Press, _c(c)2000. |
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_a1 online resource (x, 200 pages) : _billustrations. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_adata file _2rda |
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490 | 1 |
_aLondon Mathematical Society lecture note series ; _v269 |
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505 | 0 | 0 |
_tErgodic Systems -- _tExamples and Basic Results -- _tErgodic Theory and Unitary Representations -- _tInvariant Measures and Unique Ergodicity -- _tThe Geodesic Flow of Riemannian Locally Symmetric Spaces -- _tSome Hyperbolic Geometry -- _tLattices and Fundamental Domains -- _tThe Geodesic Flow of Compact Riemann Surfaces -- _tThe Geodesic Flow on Riemannian Locally Symmetric Spaces -- _tThe Vanishing Theorem of Howe and Moore -- _tHowe--Moore's Theorem -- _tMoore's Ergodicity Theorems -- _tCounting Lattice Points in the Hyperbolic Plane -- _tMixing of All Orders -- _tThe Horocycle Flow -- _tThe Horocycle Flow of a Riemann Surface -- _tProof of Hedlund's Theorem--Cocompact Case -- _tClassification of Invariant Measures -- _tEquidistribution of Horocycle Orbits -- _tSiegel Sets, Mahler's Criterion and Margulis' Lemma -- _tSiegel Sets in SL(n, R) -- _tSL(n, Z) is a lattice in SL(n, R) -- _tMahler's Criterion -- _tReduction of Positive Definite Quadratic Forms -- _tMargulis' Lemma -- _tAn Application to Number Theory: Oppenheim's Conjecture -- _tOppenheim's Conjecture -- _tProof of the Theorem--Preliminaries -- _tExistence of Minimal Closed Subsets -- _tOrbits of One-Parameter Groups of Unipotent Linear Transformations -- _tProof of the Theorem--Conclusion -- _tRatner's Results on the Conjectures of Raghunathan, Dani and Margulis. |
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_a2 _ub |
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650 | 0 | _aErgodic theory. | |
650 | 0 | _aTopological dynamics. | |
655 | 1 | _aElectronic Books. | |
700 | 1 | _aMayer, Matthias. | |
856 | 4 | 0 |
_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569302&site=eds-live&custid=s3260518 _zClick to access digital title | log in using your CIU ID number and my.ciu.edu password |
942 |
_cOB _D _eEB _hQA. _m2000 _QOL _R _x _8NFIC _2LOC |
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994 |
_a02 _bNT |
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999 |
_c98122 _d98122 |
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902 |
_a1 _bCynthia Snell _c1 _dCynthia Snell |