Density estimation for one-dimensional dynamical systems

2.4. Now we illustrate the questions of variance and coboundary by a simple example.. This implies that Theorem 2.3 applies. As f is H¨ older continuous, it is known that h is also

Key words and phrases: Central limit theorem, spatial processes, m- dependent random fields, weak mixing..

In the context of this work, we consider functionals which act on these clusters of relevant values and we develop useful lemmas in order to simplify the essential step to establish

Both the topological and measure-theoretic theory are just nascent, and raise two kind of questions inspired by the symbolic theory: we would like to build examples showing what kind

In Subsection 5.3, we show that this limit is the infinitesimal generator of a linear diffusion process in M 0 ( D ), the unique stationary distribution of which is the Gaussian

The quantities g a (i, j), which appear in Theorem 1, involve both the state of the system at time n and the first return time to a fixed state a. We can further analyze them and get

This work presents a method to obtain inner and outer approximations of the region of attraction of a given target set as well as an admissible controller generating the

In this paper we show that recent results mixing measure theory and algebraic geometry can be used to construct invariant measures numerically, with the help of