 96352 Knill O.
 Four papers in dynamics.
(125K, four LaTeX files (to unbundle, sh the downloaded file))
Aug 6, 96

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Abstract. 1. ON THE DYNAMICS OF A GENERAL UNITARY OPERATOR:
The topological dynamical system obtained by a unitary operator
acting on the unit ball of a Hilbert space has zero topological
entropy.
2. SINGULAR CONTINUOUS SPECTRUM AND QUANTITATIVE RATES OF WEAKLY MIXING:
Singular continuous spectrum is generic in ergodic theory.
Quantitative weak mixing properties are related
to spectral properties of the spectral measures.
3. A REMARK ON QUANTUM DYNAMICS:
A discretetime Schr\"odinger evolution is
useful for getting information on spectral measures of Schr\"odinger operators.
4. NONLINEAR DYNAMICS FROM THE WILSON LAGRANGIAN:
Critical points of a functional related to the Wilson action
define a nonlinear discrete equation. The evolution is
in the simplest case a cubic Henon map and more generally a Hamiltonian
coupled map lattice.
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96352.tex