MARC Record from marc_columbia

LEADER: 04037mam a22003978a 4500
001 1572253
005 20220608191851.0
008 941020t19951995enk 100 0 eng
010 $a 94023778
020 $a0521459990 (pbk.)
035 $a(OCoLC)ocm31435498
035 $9AKG0113CU
035 $a(NNC)1572253
035 $a1572253
040 $aDLC$cDLC$dYSM$dOrLoB$dOrLoB
050 00 $aQA313$b.E73 1995
082 00 $a515/.42$220
245 00 $aErgodic theory and its connections with harmonic analysis :$bproceedings of the 1993 Alexandria conference /$cedited by Karl E. Petersen, Ibrahim Salama.
260 $aCambridge ;$aNew York, N.Y. :$bCambridge University Press,$c[1995], ©1995.
263 $a9502
300 $aviii, 437 pages ;$c23 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aLondon Mathematical Society lecture note series ;$v205
505 0 $aPointwise ergodic theorems via harmonic analysis / Joseph M. Rosenblatt and Mate Wierdl -- Harmonic analysis in rigidity theory / R. J. Spatzier -- Some properties and applications of joinings in ergodic theory / J.-P. Thouvenot -- Ergodic baker's transformations / C. J. Bose and P. Grezegorczyk -- Almost sure convergence of projections to self-adjoint operators in L[subscript 2](0,1) / Lech Ciach, Ryszard Jajte and Adam Paskievicz -- Quasi-uniform limits of uniformly recurrent points / Tomasz Downarowicz -- Strictly nonpointwise Markov operators and weak mixing / Tomasz Downarowicz -- Two techniques in multiple recurrence / A. H. Forrest -- For Bernoulli transformations the smallest natural family of factors consists of all factors / Eli Glasner -- Topological entropy of extensions / Eli Glasner and Benjamin Weiss -- Functional equations associated with the spectral properties of compact group extensions / Geoffrey Goodson.
505 8 $aMultiple recurrence for nilpotent groups of affine transformations of the 2-torus / Daniel A. Hendrick -- A remark on isometric extensions in relatively independent joinings / Emmanuel Lesigne -- Three results in recurrence / Randall McCutcheon -- Calculation of the limit in the return times theorem for Dunford-Schwartz operators / James H. Olsen -- Eigenfunctions of T x S and the Conze-Lesigne algebra / Daniel J. Rudolph.
520 $aErgodic theory is a field that is lively on its own and also in its interactions with other branches of mathematics and science. In recent years the interchanges with harmonic analysis have been especially noticeable and productive in both directions. The 1993 Alexandria Conference explored many of these connections as they were developing.
520 8 $aThe three survey papers in this book describe the relationships of almost everywhere convergence (J. Rosenblatt and M. Wierdl), rigidity theory (R. Spatzier), and the theory of joinings (J.-P. Thouvenot). These papers present the background of each area of interaction, the most outstanding recent results, and the currently promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas.
520 8 $aThe book also includes thirteen research papers that describe recent work related to the theme of the conference: several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder discuss almost everywhere convergence and a variety of other topics in dynamics.
650 0 $aErgodic theory$vCongresses.$0http://id.loc.gov/authorities/subjects/sh2008119852
650 0 $aHarmonic analysis$vCongresses.$0http://id.loc.gov/authorities/subjects/sh2008105487
700 1 $aPetersen, Karl Endel,$d1943-$0http://id.loc.gov/authorities/names/n82077232
700 1 $aSalama, Ibrahim A.$0http://id.loc.gov/authorities/names/n82151769
710 2 $aLondon Mathematical Society.$0http://id.loc.gov/authorities/names/n79118957
830 0 $aLondon Mathematical Society lecture note series ;$v205.$0http://id.loc.gov/authorities/names/n42015587
852 00 $bmat$hQA313$i.E73 1995