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Dynamics, Geometry, Number Theory
Language: en
Pages: 496
Authors: David Fisher, Dmitry Kleinbock, Gregory Soifer
Categories: Mathematics
Type: BOOK - Published: 2022-02-07 - Publisher: University of Chicago Press

This definitive synthesis of mathematician Gregory Margulis’s research brings together leading experts to cover the breadth and diversity of disciplines Margulis’s work touches upon. This edited collection highlights the foundations and evolution of research by widely influential Fields Medalist Gregory Margulis. Margulis is unusual in the degree to which his
Rigidity in Dynamics and Geometry
Language: en
Pages: 492
Authors: Marc Burger, Alessandra Iozzi
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan uary until July, 2000. Beside the activities during the semester, there were workshops held in January,
Fractal Geometry, Complex Dimensions and Zeta Functions
Language: en
Pages: 570
Authors: Michel L. Lapidus, Machiel van Frankenhuijsen
Categories: Mathematics
Type: BOOK - Published: 2012-09-20 - Publisher: Springer Science & Business Media

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal
Number Theory and Dynamical Systems
Language: en
Pages: 172
Authors: M. M. Dodson, J. A. G. Vickers
Categories: Mathematics
Type: BOOK - Published: 1989-11-09 - Publisher: Cambridge University Press

This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system
Laminations and Foliations in Dynamics, Geometry and Topology
Language: en
Pages: 233
Authors: Mikhail Lyubich, John Willard Milnor
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher: American Mathematical Soc.

This volume is based on a conference held at SUNY, Stony Brook (NY). The concepts of laminations and foliations appear in a diverse number of fields, such as topology, geometry, analytic differential equations, holomorphic dynamics, and renormalization theory. Although these areas have developed deep relations, each has developed distinct research