In this brief note we present a very simple strategy to investigate dynamical determinants for uniformly hyperbolic systems. The construction builds on the recent introduction of suitable functional spaces which allow to transform simple heuristic arguments in rigorous ones. Although the results so obtained are not exactly optimal the straightforwardness of the argument makes it noticeable
Abstract. We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperb...
We propose a rigorous computational method to prove the uniform hyperbolicity of discrete dynamical ...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
In this brief note we present a very simple strategy to investigate dynamical determinants for unif...
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...
Abstract. For smooth hyperbolic dynamical systems and smooth weights, we relate Ruelle transfer oper...
Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined gen...
We discuss a number of inter-related topics, usually ideas from hyperbolic dynamics applied to geome...
Abstract. We survey some recent progress in the theory of dynamical zeta-functions and explain its i...
AbstractGeneralizing a well known trace formula from linear algebra, we define a generalized determi...
none1noDynamical zeta functions provide a powerful method to analyse low-dimensional dynamical syste...
Consider a space M, a map f:M\to M, and a function g:M \to {\mathbb C}. The formal power series \zet...
One of the major discoveries of the 20th century mathematics is the possibility of random behavior o...
Abstract. The long time behavior of smooth dynamical systems is, in good cases, given by an SRB meas...
In dynamical systems, one of the main objects or quantities that have been studied are the periodic ...
Abstract. We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperb...
We propose a rigorous computational method to prove the uniform hyperbolicity of discrete dynamical ...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...
In this brief note we present a very simple strategy to investigate dynamical determinants for unif...
The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach sp...
Abstract. For smooth hyperbolic dynamical systems and smooth weights, we relate Ruelle transfer oper...
Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined gen...
We discuss a number of inter-related topics, usually ideas from hyperbolic dynamics applied to geome...
Abstract. We survey some recent progress in the theory of dynamical zeta-functions and explain its i...
AbstractGeneralizing a well known trace formula from linear algebra, we define a generalized determi...
none1noDynamical zeta functions provide a powerful method to analyse low-dimensional dynamical syste...
Consider a space M, a map f:M\to M, and a function g:M \to {\mathbb C}. The formal power series \zet...
One of the major discoveries of the 20th century mathematics is the possibility of random behavior o...
Abstract. The long time behavior of smooth dynamical systems is, in good cases, given by an SRB meas...
In dynamical systems, one of the main objects or quantities that have been studied are the periodic ...
Abstract. We give sufficient conditions for the uniform hyperbolicity of certain nonuniformly hyperb...
We propose a rigorous computational method to prove the uniform hyperbolicity of discrete dynamical ...
Abstract. Almost hyperbolic systems are smooth dynamical systems that are hyperbolic everywhere exce...