1st Edition

Classical and Quantum Models and Arithmetic Problems

By David Chudnovsky Copyright 1984
480 Pages
by CRC Press

480 Pages
by CRC Press

480 Pages
by Routledge

Here is an unsurpassed resource-important accounts of a variety of dynamic systems topics related to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface...and explicit determination of modular function growth near a real point applications of number theory to dynamical systems and applications of... Read more
Geometrical and Electrical Properties of Some Julia Sets. Mathematical Microcosm of Geodesics, Free Groups, and Markoff Forms. Note on Eisenstein's System of Differential Equations: An Example of Exactly Solvable but Not Completely Integrable System of Differential Equations. Some Remarks on Theta Functions and S-Matrices. Recurrences, Pade Approximations and Their Applications. Harmonic Oscillators at Low Energies. The Quantization of a Classically Ergodic System. Diophantine Approximation of Complex Numbers. Trajectories on Reimann Surfaces. On the Analytic Structure of Dynamical Systems: Painleve Revisited.

Biography

David Chudnovsky is a Research Scientist inthe Department of Mathematics at Columbia University in New York City, where he has served since 1978.