 |
|
|
Item Details
| Title:
|
SPECTRAL PROBLEMS IN GEOMETRY AND ARITHMETIC
|
| By: |
Thomas Branson (Editor) |
| Format: |
Paperback |
| List price:
|
£114.00 |
|
We currently do not stock this item, please contact the publisher directly for
further information.
|
|
|
|
|
|
| ISBN 10: |
0821809407 |
| ISBN 13: |
9780821809402 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 July, 1999 |
| Series: |
Contemporary Mathematics No. 237 |
| Pages: |
174 |
| Description: |
Covers the proceedings of the NSF-CBMS Conference on 'Spectral Problems in Geometry and Arithmetic' held at the University of Iowa. This work approaches the topic from the geometric, physical, and number theoretic points of view. |
| Synopsis: |
This work covers the proceedings of the NSF-CBMS Conference on 'Spectral Problems in Geometry and Arithmetic' held at the University of Iowa. The principal speaker was Peter Sarnak, who has been a central contributor to developments in this field. The volume approaches the topic from the geometric, physical, and number theoretic points of view. The remarkable new connections among seemingly disparate mathematical and scientific disciplines have surprised even veterans of the physical mathematics renaissance forged by gauge theory in the 1970s. Numerical experiments show that the local spacing between zeros of the Riemann zeta function is modelled by spectral phenomena: the eigenvalue distributions of random matrix theory, in particular the Gaussian unitary ensemble (GUE).Related phenomena are from the point of view of differential geometry and global harmonic analysis. Elliptic operators on manifolds have (through zeta function regularization) functional determinants, which are related to functional integrals in quantum theory. The search for critical points of this determinant brings about extremely subtle and delicate sharp inequalities of exponential type.This indicates that zeta functions are spectral objects - and even physical objects. This volume demonstrates that zeta functions are also dynamic, chaotic, and more. |
| Illustrations: |
illustrations |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
|
|
|
 |
|
|
|
|
|
No Cheese, Please!
A fun picture book for children with food allergies - full of friendship and super-cute characters!Little Mo the mouse is having a birthday party.
|
My Brother Is a Superhero
Luke is massively annoyed about this, but when Zack is kidnapped by his arch-nemesis, Luke and his friends have only five days to find him and save the world...
|
|
|
|
|