On the rate of convergence to equilibrium in one-dimensional systems

Keller G (1984)

Publication Type: Journal article, Original article

Publication year: 1984

Journal

Communications in Mathematical Physics Springer Verlag (Germany)

Publisher: Springer Verlag (Germany)

Book Volume: 96

Pages Range: 181--193

Journal Issue: 2

URI: http://projecteuclid.org/euclid.cmp/1103941781

DOI: 10.1007/BF01240219

Abstract

We determine the essential spectral radius of the Perron-Frobenius-operator for piecewise expanding transformations considered as an operator on the space of functions of bounded variation and relate the speed of convergence to equilibrium in such one-dimensional systems to the greatest eigenvalues of generalized Perron-Frobenius-operators of the transformations (operators which yield singular invariant measures).

Authors with CRIS profile

Gerhard Keller Professur für Angewandte Mathematik (Angewandte Analysis)

How to cite

APA:

Keller, G. (1984). On the rate of convergence to equilibrium in one-dimensional systems. Communications in Mathematical Physics, 96(2), 181--193. https://dx.doi.org/10.1007/BF01240219

MLA:

Keller, Gerhard. "On the rate of convergence to equilibrium in one-dimensional systems." Communications in Mathematical Physics 96.2 (1984): 181--193.

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