![Cover image for Geometry, spectral theory, groups, and dynamics : proceedings in memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel](/client/assets/5.898/ctx//client/images/no_image.png "Cover image for Geometry, spectral theory, groups, and dynamics : proceedings in memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel")
Geometry, spectral theory, groups, and dynamics : proceedings in memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel
Title:
Geometry, spectral theory, groups, and dynamics : proceedings in memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel
JLCTITLE245:
Michael Entov, Yehuda Pinchover, Michah Sageev, editors.
Publication Information:
Providence, R.I. : American Mathematical Society ; Ramat Gan, Israel : Bar-Ilan University, c2005.
Physical Description:
xvii, 275 p. : ill. ; 26 cm.
ISBN:
9780821837108
Series Title:
Israel mathematical conference proceedings
Abstract:
"This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa)." "Robert Brooks' (1952-2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and number theory. A survey of Brooks' work has been written by his close colleague, Peter Buser." "Also included in the volume are articles on analytic topics, such as Szegos theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate students and researchers interested in various aspects of geometry and global analysis."--BOOK JACKET.
Bibliography Note:
Includes bibliographical references.
Contents:
On the mathematical work of Robert Brooks / P. Buser -- Moduli spaces of homotopy theory / D. Blanc -- K-regular graphs and Hecke surfaces / R. Brooks and M. Monastyrsky -- Isospectrality and spectral rigidity of surface with small topology / P. Buser and K.-D. Semmler -- Topics in isoperimetric inequalities / I. Chavel -- Hidden symmetries and arithmetic manifolds / B. Farb and S. Weinberger -- Variants of the 3N + 1 conjecture and multiplicative semigroups / H. M. Farkas -- Energy capacity inequalities via an action selector / U. Frauenfelder, V. Ginzburg and F. Schlenk -- On non-bounded generation of discrete subgroups in rank-1 Lie groups / K. Fujiwara -- Isospectral and isoscattering manifolds : a survey of techniques and examples / C. Gordon, P. Perry and D. Schueth -- Filling area conjecture, optimal systolic inequalities, and the fiber class in Abelian covers / M. G. Katz and C. Lescop -- An invitation to Deninger's work on arithmetic zeta functions / E. Leichtnam -- Some more non-arithmetic rigid groups / A. Lubotzky -- On domain monotonicity for the principal eigenvalue of the Laplacian with a mixed Dirichlet-Neumann boundary condition / R. G. Pinsky -- The sharp form of the strong Szego theorem / B. Simon.