منابع مشابه
Kms States on C*-algebras Associated to Expansive Maps
Using Walters’ version of the Ruelle-Perron-Frobenius Theorem we show the existence and uniqueness of KMS states for a certain one-parameter group of automorphisms on a C*-algebra associated to a positively expansive map on a compact metric space.
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A lecture given at the Department of Biology, University of Oslo, at the \population dynamics seminar" 27.11.98.
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We extend the theory of the chemical potential associated to a compact separable gauge group to the case of disordered quantum systems. This is done in the natural framework of operator algebras. Among the other results, we show that the chemical potential does not depend on the disorder. The situation of the n–torus is treated in some detail. Indeed, provided that the zero– point is fixed inde...
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Integrate-and-fire (I+F) systems are ubiquitous in nature and neurons constitute a conspicuous example. The interaction of nerve cells in a neural network frequently involves the transmission of periodic signals. On the other hand, the investigation of the dynamics of a periodically stimulated I+F system is a difficult and classical problem of nonlinear oscillation theory, of interest not only ...
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After preparing this note, the paper [IT] was discovered which covers the more general situation of “expansive foliations”, and in codimension one their result includes Theorem1.2. We note that the proof given here is more self–contained and goes into more detail about the construction of the “ping-pong table” in the topological case, which the reader might still find of interest. Ralf Spatzier...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2014
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-014-1124-x