In this paper we discuss a sort of zeta function which describes the behavior of periodic points of semi-dynamical systems. It is proved that the zeta functions of expanding mappings on compact manifolds are rational.101036-104
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the ...
Abstract. For an action α of Z d by homeomorphisms of a compact metric space, D. Lind introduced a d...
The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rationa...
We consider a family of isometric extensions of the full shift on p symbols (for p a prime) parametr...
AbstractWe consider a family of isometric extensions of the full shift onpsymbols (forpa prime) para...
AbstractA dynamical zeta function is proposed for the subshift on an countable set. It is shown that...
Consider a space M, a map f:M\to M, and a function g:M \to {\mathbb C}. The formal power series \zet...
Baake M, Lau E, Paskunas V. A note on the dynamical zeta function of general toral endomorphisms. Mo...
We show that for almost every ergodic S-integer dynamical system the radius of convergence of the dy...
Abstract. This paper describes new results on the growth and zeros of the Ruelle zeta function for t...
Abstract. Given a real-analytic expanding endomorphism of a compact manifold M, a meromorphic zeta f...
In dynamical systems, one of the main objects or quantities that have been studied are the periodic ...
We study fixed points of iterates of dynamically affine maps (a generalisation of Latt`es maps) over...
In this note, we show a polynomial bound for the growth of the lap number of a piecewise monotone an...
In this note, we study the dynamics and associated Zeta functions of conformally compact manifolds w...
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the ...
Abstract. For an action α of Z d by homeomorphisms of a compact metric space, D. Lind introduced a d...
The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rationa...
We consider a family of isometric extensions of the full shift on p symbols (for p a prime) parametr...
AbstractWe consider a family of isometric extensions of the full shift onpsymbols (forpa prime) para...
AbstractA dynamical zeta function is proposed for the subshift on an countable set. It is shown that...
Consider a space M, a map f:M\to M, and a function g:M \to {\mathbb C}. The formal power series \zet...
Baake M, Lau E, Paskunas V. A note on the dynamical zeta function of general toral endomorphisms. Mo...
We show that for almost every ergodic S-integer dynamical system the radius of convergence of the dy...
Abstract. This paper describes new results on the growth and zeros of the Ruelle zeta function for t...
Abstract. Given a real-analytic expanding endomorphism of a compact manifold M, a meromorphic zeta f...
In dynamical systems, one of the main objects or quantities that have been studied are the periodic ...
We study fixed points of iterates of dynamically affine maps (a generalisation of Latt`es maps) over...
In this note, we show a polynomial bound for the growth of the lap number of a piecewise monotone an...
In this note, we study the dynamics and associated Zeta functions of conformally compact manifolds w...
For a discrete dynamical system, the prime orbit and Mertens’ orbit counting functions describe the ...
Abstract. For an action α of Z d by homeomorphisms of a compact metric space, D. Lind introduced a d...
The Lefschetz zeta function associated to a continuous self-map f of a compact manifold is a rationa...