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Currently displaying 1 – 3 of 3

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Meromorphic extensions of generalised zeta functions.

M. Pollicott — 1986

Inventiones mathematicae

An entropy for $ℤ^{2}$ -actions with finite entropy generators

W. Geller; M. Pollicott — 1998

Fundamenta Mathematicae

We study a definition of entropy for $ℤ^{+} \times ℤ^{+}$ -actions (or $ℤ^{2}$ -actions) due to S. Friedland. Unlike the more traditional definition, this is better suited for actions whose generators have finite entropy as single transformations. We compute its value in several examples. In particular, we settle a conjecture of Friedland [2].

Differentiability and analycity of topological entropy for Anosov and geodesic flows.

A. Katok; M. Pollicott; G. Knieper — 1989