000 02786nam a2200373Ki 4500
001 ocn852898462
003 OCoLC
005 20240726105352.0
008 130716s2000 enka ob 001 0 eng d
040 _aNT
_beng
_erda
_cNT
020 _a9781107089273
_q((electronic)l(electronic)ctronic)l((electronic)l(electronic)ctronic)ctronic bk.
050 0 4 _aQA611
_b.E746 2000
049 _aNTA
100 1 _aBekka, M. Bachir.
_e1
245 1 0 _aErgodic theory and topological dynamics of group actions on homogeneous spacesM. Bachir Bekka, Matthias Mayer.
260 _aCambridge, U.K. ;
_aNew York :
_bCambridge University Press,
_c(c)2000.
300 _a1 online resource (x, 200 pages) :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _adata file
_2rda
490 1 _aLondon Mathematical Society lecture note series ;
_v269
504 _a2
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.
530 _a2
_ub
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
994 _a02
_bNT
999 _c98122
_d98122
902 _a1
_bCynthia Snell
_c1
_dCynthia Snell