Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Share This Author
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…
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…
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
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…
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…
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…
Anosov flows and dynamical zeta functions
- P. Giulietti, C. Liverani, M. Pollicott
- Mathematics
- 5 March 2012
We study the Ruelle and Selberg zeta functions for C r Anosov ows, r > 2, on a compact smooth manifold. We prove several results, the most remarkable being (a) for C 1 ows the zeta function is…
Exponential error terms for growth functions on negatively curved surfaces
- M. Pollicott, Richard Sharp
- Mathematics
- 1 October 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…
The Hausdorff dimension of -expansions with deleted digits
- M. Pollicott, K. Simon
- Chemistry
- 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…
...
...