I show that the Ruelle dynamical zeta function, associated to an Anosov diffeomorphism, is the Fredholm determinant of the corresponding Ruelle-Perron-Frobenius transfer operator acting on appropriate Banach spaces. As a consequence it follows, for example, that the zeroes of the dynamical zeta function describe the eigenvalues of the operator and that, for $\Co^\infty$ Anosov diffeomorphisms, the zeta function is entire
Abstract. The purpose of this paper is to give a short microlocal proof of the meromorphic continuat...
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov ma...
Combining microlocal methods and a cohomological theory developped by J. Taylor, we define for $\mat...
I show that the Ruelle dynamical zeta function, associated to an Anosov diffeomorphism, is the Fredh...
Abstract. For smooth hyperbolic dynamical systems and smooth weights, we relate Ruelle transfer oper...
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...
We study the Ruelle and Selberg zeta functions for Cr Anosov ows, r > 2, on a compact smooth mani...
Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined gen...
Revised version. Technical points clarified. Statements for t=1 or infty suppressedWe consider a smo...
48 pagesInternational audienceIn this paper, we show that some spectral properties of Anosov diffeom...
We study the Ruelle and Selberg zeta functions for Cr Anosov flows, r> 2, on a compact smooth man...
We prove an upper bound for the number of Ruelle resonances for Koopman operators associated to real...
International audienceThe Ruelle resonances of a dynamical system are spectral data describing the p...
AbstractResonances of dynamical systems are defined as the singularities of the analytically continu...
Consider a space M, a map f:M\to M, and a function g:M \to {\mathbb C}. The formal power series \zet...
Abstract. The purpose of this paper is to give a short microlocal proof of the meromorphic continuat...
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov ma...
Combining microlocal methods and a cohomological theory developped by J. Taylor, we define for $\mat...
I show that the Ruelle dynamical zeta function, associated to an Anosov diffeomorphism, is the Fredh...
Abstract. For smooth hyperbolic dynamical systems and smooth weights, we relate Ruelle transfer oper...
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...
We study the Ruelle and Selberg zeta functions for Cr Anosov ows, r > 2, on a compact smooth mani...
Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined gen...
Revised version. Technical points clarified. Statements for t=1 or infty suppressedWe consider a smo...
48 pagesInternational audienceIn this paper, we show that some spectral properties of Anosov diffeom...
We study the Ruelle and Selberg zeta functions for Cr Anosov flows, r> 2, on a compact smooth man...
We prove an upper bound for the number of Ruelle resonances for Koopman operators associated to real...
International audienceThe Ruelle resonances of a dynamical system are spectral data describing the p...
AbstractResonances of dynamical systems are defined as the singularities of the analytically continu...
Consider a space M, a map f:M\to M, and a function g:M \to {\mathbb C}. The formal power series \zet...
Abstract. The purpose of this paper is to give a short microlocal proof of the meromorphic continuat...
We study the spectral properties of the Ruelle-Perron-Frobenius operator associated to an Anosov ma...
Combining microlocal methods and a cohomological theory developped by J. Taylor, we define for $\mat...