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Discrete Groups, Expanding Graphs and Invariant Measures (Modern Birkhäuser Classics)
Alex Lubotzky
€ 101.48
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Description for Discrete Groups, Expanding Graphs and Invariant Measures (Modern Birkhäuser Classics)
Paperback. Unifying concepts from various fields within mathematics, this volume offers solutions to two known problems - the construction of expanding graphs and the Ruziewicz problem, concerning the finitely additive invariant measures of spheres. Series: Modern Birkhauser Classics. Num Pages: 196 pages, biography. BIC Classification: PBG; PBH; PBKB; PBMP. Category: (P) Professional & Vocational. Dimension: 234 x 159 x 12. Weight in Grams: 322.
In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied ... Read more
In the last ?fteen years two seemingly unrelated problems, one in computer science and the other in measure theory, were solved by amazingly similar techniques from representation theory and from analytic number theory. One problem is the - plicit construction of expanding graphs («expanders»). These are highly connected sparse graphs whose existence can be easily demonstrated but whose explicit c- struction turns out to be a dif?cult task. Since expanders serve as basic building blocks for various distributed networks, an explicit construction is highly des- able. The other problem is one posed by Ruziewicz about seventy years ago and studied ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Birkhäuser
Condition
New
Series
Modern Birkhauser Classics
Number of Pages
196
Place of Publication
Basel, Switzerland
ISBN
9783034603317
SKU
V9783034603317
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Discrete Groups, Expanding Graphs and Invariant Measures (Modern Birkhäuser Classics)
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 ... Read more