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Zeta functions and the periodic orbit structure of hyperbolic dynamics

- W. Parry, M. Pollicott
- Mathematics
- 1990

© Société mathématique de France, 1990, tous droits réservés. L’accès aux archives de la collection « Astérisque » (http://smf4.emath.fr/ Publications/Asterisque/) implique l’accord avec les… Expand

Equilibrium States in Negative Curvature

- F. Paulin, M. Pollicott, Barbara Schapira
- Mathematics
- 27 November 2012

With their origin in thermodynamics and symbolic dynamics, Gibbs measures are crucial tools to study the ergodic theory of the geodesic flow on negatively curved manifolds. We develop a framework… Expand

Multifractal Analysis of Lyapunov Exponent for Continued Fraction and Manneville–Pomeau Transformations and Applications to Diophantine Approximation

- M. Pollicott, H. Weiss
- Mathematics
- 1 November 1999

Abstract:We extend some of the theory of multifractal analysis for conformal expanding systems to two new cases: The non-uniformly hyperbolic example of the Manneville–Pomeau equation and the… Expand

An analogue of the prime number theorem for closed orbits of Axiom A flows

- W. Parry, M. Pollicott
- Mathematics
- 1 November 1983

For an Axiom A flow restricted to a basic set we extend the zeta function to an open set containing W(s) > h where h is the topological entropy. This enables us to give an asymptotic formula for the… Expand

Exponential error terms for growth functions on negatively curved surfaces

- M. Pollicott, Mark Richard Sharp
- Mathematics
- 1998

<abstract abstract-type="TeX"><p>In this paper we consider two counting problems associated with compact negatively curved surfaces and improve classical asymptotic estimates due to Margulis. In the… Expand

SYMBOLIC DYNAMICS FOR SMALE FLOWS

- M. Pollicott
- Mathematics
- 1 February 1987

On introduit une classe de flots plus generaux que les flots de l'axiome A et on montre que certains resultats pour ces derniers restent vrais

Meromorphic extensions of generalised zeta functions

- M. Pollicott
- Mathematics
- 1 February 1986

SummaryIn this paper we give a full description of the spectrum of the Ruelle-Perron-Frobenius operator acting on the Banach space of Holder continuous functions on a subshift of finite type (Theorem… Expand

The Hausdorff dimension of -expansions with deleted digits

- M. Pollicott, K. Simon
- Mathematics
- 1 March 1995

A process and apparatus for the gaseous reduction of sized iron ores wherein a steam-hydrocarbon fluid mixture, having a steam : carbon molar ratio ranging from 0.9:1 to 1.8:1, is catalytically… Expand

Hausdorff Dimension for Randomly Perturbed Self Affine Attractors

- Thomas Jordan, M. Pollicott, K. Simon
- Mathematics
- 17 January 2007

In this paper we shall consider a self-affine iterated function system in $$\mathbb{R}^d$$, d ≥ 2, where we allow a small random translation at each application of the contractions. We compute the… Expand

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