04405nam 2200781Ia 450 991045659790332120200520144314.01-282-30380-597866123038071-4008-3106-710.1515/9781400831067(CKB)2550000000002880(EBL)475845(OCoLC)507428541(SSID)ssj0000337335(PQKBManifestationID)11297311(PQKBTitleCode)TC0000337335(PQKBWorkID)10287892(PQKB)10258020(MiAaPQ)EBC475845(DE-B1597)446614(OCoLC)979685624(DE-B1597)9781400831067(PPN)15099625X(Au-PeEL)EBL475845(CaPaEBR)ebr10333494(CaONFJC)MIL230380(EXLCZ)99255000000000288020090202d2009 uy 0engur|n|---|||||txtccrThe ergodic theory of lattice subgroups[electronic resource] /Alexander Gorodnik and Amos NevoCourse BookPrinceton, N.J. Princeton University Press20091 online resource (136 p.)Annals of mathematics studies ;no. 172Description based upon print version of record.0-691-14184-3 0-691-14185-1 Includes bibliographical references and index. Frontmatter -- Contents -- Preface -- Chapter One. Main results: Semisimple Lie groups case -- Chapter Two. Examples and applications -- Chapter Three. Definitions, preliminaries, and basic tools -- Chapter Four. Main results and an overview of the proofs -- Chapter Five. Proof of ergodic theorems for S-algebraic groups -- Chapter Six. Proof of ergodic theorems for lattice subgroups -- Chapter Seven. Volume estimates and volume regularity -- Chapter Eight. Comments and complements -- Bibliography -- IndexThe results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle. Here, Alexander Gorodnik and Amos Nevo develop a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. Simple general conditions on the spectral theory of the group and the regularity of the averaging sets are formulated, which suffice to guarantee convergence to the ergodic mean. In particular, this approach gives a complete solution to the problem of establishing mean and pointwise ergodic theorems for the natural averages on semisimple algebraic groups and on their discrete lattice subgroups. Furthermore, an explicit quantitative rate of convergence to the ergodic mean is established in many cases. The topic of this volume lies at the intersection of several mathematical fields of fundamental importance. These include ergodic theory and dynamics of non-amenable groups, harmonic analysis on semisimple algebraic groups and their homogeneous spaces, quantitative non-Euclidean lattice point counting problems and their application to number theory, as well as equidistribution and non-commutative Diophantine approximation. Many examples and applications are provided in the text, demonstrating the usefulness of the results established.Annals of mathematics studies ;no. 172.Ergodic theoryLie groupsLattice theoryHarmonic analysisDynamicsElectronic books.Ergodic theory.Lie groups.Lattice theory.Harmonic analysis.Dynamics.515/.48SI 830rvkGorodnik Alexander1975-1057408Nevo Amos1966-1057409MiAaPQMiAaPQMiAaPQBOOK9910456597903321The ergodic theory of lattice subgroups2492664UNINA03803nam 22005415 450 991045844570332120210114084755.01-282-97642-797866129764211-4008-3824-X10.1515/9781400838240(CKB)2560000000055369(EBL)664596(OCoLC)713266680(DE-B1597)446984(OCoLC)979749695(DE-B1597)9781400838240(MiAaPQ)EBC664596(EXLCZ)99256000000005536920190708d2011 fg engur|n|---|||||txtrdacontentcrdamediacrrdacarrierCarnations Poems /Anthony CarelliCourse BookPrinceton, NJ : Princeton University Press, [2011]©20111 online resource (72 p.)Princeton Series of Contemporary Poets ;57Description based upon print version of record.0-691-14945-3 Frontmatter -- Acknowledgments -- Contents -- The Sabbath -- Glass Work Song -- The Prophets -- The Muse -- The Crusades -- The Builder -- The Collar -- The Apostles -- Discernment -- The Chance -- In Ordinary Time -- October Advent -- The Begats -- The Shepherd -- Lectio Divina -- The Hours -- Agnus Dei -- The Brooklyn Heavens -- Evangelical -- Birthday -- Sermon -- Original Sin -- Faith -- Incarnation -- No, Euripides -- Yahweh -- Apples for Thoreau -- Jerusalem -- The Crucifixion -- The Lord's Prayer -- The Disciples -- Sure -- AmenIn Anthony Carelli's remarkable debut, Carnations, the poems attempt to reanimate dead metaphors as blossoms: wild and lovely but also fleeting, mortal, and averse to the touch. Here, the poems are carnations, not only flowers, but also body-making words. Nodding to influences as varied as George Herbert, Francis Ponge, Fernando Pessoa, and D. H. Lawrence, Carelli asserts that the poet's materials--words, objects, phenomena--are sacred, wilting in the moment, yet perennially renewed. Often taking titles from a biblical vocabulary, Carnations reminds us that unremarkable places and events--a game of Frisbee in a winter park, workers stacking panes in a glass factory, or the daily opening of a café--can, in a blink, be new. A short walk home is briefly transformed into a cathedral, and the work-worn body becomes a dancer, a prophet, a muse.______ From Carnations:THE PROPHETS Anthony Carelli ? A river. And if not the river nearby, then a dream  of a river. Nothing happens that doesn't happen    along a river, however humble the water may be. Take Rowan Creek, the trickle struggling to lug  its mirroring across Poynette, wherein, suspended,    so gentle and shallow, I learned to walk, bobbing at my father's knees. Later, whenever we tried  to meander on our inner tubes, we'd get lodged    on the bottom. Seth, remember, no matter how we'd kick and shove off, we'd just get lodged again?  At most an afternoon would carry us a hundred feet    toward the willows. We'd piss ourselves on purpose just to feel the spirits of our warmth haloing out.  And once, two bald men on the footbridge, bowing    in the sky, stared down at us without a word.Princeton Series of Contemporary PoetsAmerican poetryElectronic books.American poetry.811.6811/.6Carelli Anthony, 1048458DE-B1597DE-B1597BOOK9910458445703321Carnations2476759UNINA