Discrete Groups, Expanding Graphs and Invariant Measures

Author:   Jonathan D. Rogawski ,  Alex Lubotzky
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 1994. 2nd printing 2009
ISBN:  

9783034603317


Pages:   196
Publication Date:   23 November 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Discrete Groups, Expanding Graphs and Invariant Measures


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Full Product Details

Author:   Jonathan D. Rogawski ,  Alex Lubotzky
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 1994. 2nd printing 2009
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.660kg
ISBN:  

9783034603317


ISBN 10:   3034603312
Pages:   196
Publication Date:   23 November 2009
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Expanding Graphs.- The Banach-Ruziewicz Problem.- Kazhdan Property (T) and its Applications.- The Laplacian and its Eigenvalues.- The Representation Theory of PGL 2.- Spectral Decomposition of L 2(G(?)\G(A)).- Banach-Ruziewicz Problem for n = 2, 3; Ramanujan Graphs.- Some More Discrete Mathematics.- Distributing Points on the Sphere.- Open Problems.

Reviews

From reviews: This exciting book marks the genesis of a new field. It is a field in which one passes back and forth at will through the looking glass dividing the discrete from the continuous. (...) The book is a charming combination of topics from group theory (finite and infinite), combinatorics, number theory, harmonic analysis. - Zentralblatt MATH The Appendix, written by J. Rogawski, explains the Jacquet-Langlands theory and indicates Deligne's proof of the Petersson-Ramanujan conjecture. It would merit its own review. (...) In conclusion, this is a wonderful way of transmitting recent mathematical research directly from the producer to the consumer . - MathSciNet The book is accessible to mature graduate students in mathematics and theoretical computer science. It is a nice presentation of a gem at the border of analysis, geometry, algebra and combinatorics. Those who take the effort to glance what happens behind the scene won't regret it. - Acta Scientiarum Mathematicarum


From reviews: This exciting book marks the genesis of a new field. It is a field in which one passes back and forth at will through the looking glass dividing the discrete from the continuous. (...) The book is a charming combination of topics from group theory (finite and infinite), combinatorics, number theory, harmonic analysis. - Zentralblatt MATH The Appendix, written by J. Rogawski, explains the Jacquet-Langlands theory and indicates Deligne's proof of the Petersson-Ramanujan conjecture. It would merit its own review. (...) In conclusion, this is a wonderful way of transmitting recent mathematical research directly from the producer to the consumer . - MathSciNet The book is accessible to mature graduate students in mathematics and theoretical computer science. It is a nice presentation of a gem at the border of analysis, geometry, algebra and combinatorics. Those who take the effort to glance what happens behind the scene won't regret it. - Acta Scientiarum Mathematicarum


"From reviews: ""This exciting book marks the genesis of a new field. It is a field in which one passes back and forth at will through the looking glass dividing the discrete from the continuous. (...) The book is a charming combination of topics from group theory (finite and infinite), combinatorics, number theory, harmonic analysis."" - Zentralblatt MATH ""The Appendix, written by J. Rogawski, explains the Jacquet-Langlands theory and indicates Deligne’s proof of the Petersson-Ramanujan conjecture. It would merit its own review. (...) In conclusion, this is a wonderful way of transmitting recent mathematical research directly ""from the producer to the consumer"". - MathSciNet ""The book is accessible to mature graduate students in mathematics and theoretical computer science. It is a nice presentation of a gem at the border of analysis, geometry, algebra and combinatorics. Those who take the effort to glance what happens behind the scene won’t regret it."" - Acta Scientiarum Mathematicarum"


From reviews: This exciting book marks the genesis of a new field. It is a field in which one passes back and forth at will through the looking glass dividing the discrete from the continuous. (...) The book is a charming combination of topics from group theory (finite and infinite), combinatorics, number theory, harmonic analysis. - Zentralblatt MATH The Appendix, written by J. Rogawski, explains the Jacquet-Langlands theory and indicates Deligne's proof of the Petersson-Ramanujan conjecture. It would merit its own review. (...) In conclusion, this is a wonderful way of transmitting recent mathematical research directly from the producer to the consumer . - MathSciNet The book is accessible to mature graduate students in mathematics and theoretical computer science. It is a nice presentation of a gem at the border of analysis, geometry, algebra and combinatorics. Those who take the effort to glance what happens behind the scene won't regret it. - Acta Scientiarum Mathematicarum


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