Gorodnik Alexander (37 results)
Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, US, 2009
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Paperback. Condition: New. The 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.
Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, 2009
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Condition: New. Develops a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. This book formulates simple general conditions on the spectral theory of the group and the regularity of the averaging sets, which suffice to guarantee conv…ergence to the ergodic mean. Series: Annals of Mathematics Studies. Num Pages: 160 pages, 2 line illus. BIC Classification: PBG; PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 13. Weight in Grams: 199. . 2009. Paperback. . . . .
Language: English
Published by Princeton University Press, US, 2009
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Paperback. Condition: New. The 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.
Language: English
Published by Princeton University Press, 2009
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Condition: New. Develops a systematic general approach to the proof of ergodic theorems for a large class of non-amenable locally compact groups and their lattice subgroups. This book formulates simple general conditions on the spectral theory of the group and the regularity of the averaging sets, which suffice to guarantee conv…ergence to the ergodic mean. Series: Annals of Mathematics Studies. Num Pages: 160 pages, 2 line illus. BIC Classification: PBG; PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 13. Weight in Grams: 199. . 2009. Paperback. . . . . Books ship from the US and Ireland.
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Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.
Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press., 2009
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Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton Univ Pr, 2009
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Language: English
Published by Princeton University Press, 2009
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Language: English
Published by Princeton University Press, US, 2009
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Paperback. Condition: New. The 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.
- Softcover
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Condition: New. pp. 342.
Language: English
Published by Princeton University Press, US, 2009
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Paperback. Condition: New. The 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.
Dynamics and Analytic Number Theory: Proceedings of the Durham Easter School 2014
Badziahin, Dzmitry (Editor)/ Gorodnik, Alexander (Editor)/ Peyerimhoff, Norbert (Editor)
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Paperback. Condition: Brand New. 1st edition. 340 pages. 8.75x6.00x0.75 inches. In Stock.
Language: English
Published by Princeton University Press, 2009
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Condition: New. Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics. Editor(s): Badziahin, Dzmitry; Gorodnik, Alexander; Peyerimhoff, Norbert. Series: London Mathematical Society Lecture Note Series. Num Pages: 340 pages, 10 b/w illus. 35 exercises. BIC Classif…ication: PBF; PBH; PBV; PHDT. Category: (U) Tertiary Education (US: College). Dimension: 155 x 227 x 22. Weight in Grams: 502. . 2017. 1st Edition. Paperback. . . . . Books ship from the US and Ireland.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Written by leading experts, this book explores several directions of current research at the interface between dynamics and analytic number theory. Topics include Diophantine approximation, exponential sums, Ramsey theory, ergodic theory and homoge…neous dynamics. The origins of this material lie in the 'Dynamics and Analytic Number Theory' Easter School held at Durham University in 2014. Key concepts, cutting-edge results, and modern techniques that play an essential role in contemporary research are presented in a manner accessible to young researchers, including PhD students. This book will also be useful for established mathematicians. The areas discussed include ubiquitous systems and Cantor-type sets in Diophantine approximation, flows on nilmanifolds and their connections with exponential sums, multiple recurrence and Ramsey theory, counting and equidistribution problems in homogeneous dynamics, and applications of thin groups in number theory. Both dynamical and 'classical' approaches towards number theoretical problems are also provided.
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Condition: New. Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics. Editor(s): Badziahin, Dzmitry; Gorodnik, Alexander; Peyerimhoff, Norbert. Series: London Mathematical Society Lecture Note Series. Num Pages: 340 pages, 10 b/w illus. 35 exercises. BIC Classif…ication: PBF; PBH; PBV; PHDT. Category: (U) Tertiary Education (US: College). Dimension: 155 x 227 x 22. Weight in Grams: 502. . 2017. 1st Edition. Paperback. . . . .
Language: English
Published by Princeton Univ Pr, 2009
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Dynamics and Analytic Number Theory: Proceedings of the Durham Easter School 2014
Badziahin, Dzmitry (Editor)/ Gorodnik, Alexander (Editor)/ Peyerimhoff, Norbert (Editor)
- Softcover
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