Statistical properties for nonhyperbolic maps with finite range structure

Statistical Properties of Contact Maps

A contact map is a simple representation of the structure of proteins and other chainlike macromolecules. This representation is quite amenable to numerical studies of folding. We show that the number of contact maps corresponding to the possible configurations of a polypeptide chain of N amino acids, represented by (N21)-step self-avoiding walks on a lattice, grows exponentially with N for all...

Proximity Point Properties for Admitting Center Maps

In this work we investigate a class of admitting center maps on a metric space. We state and prove some fixed point and best proximity point theorems for them. We obtain some results and relevant examples. In particular, we show that if $X$ is a reflexive Banach space with the Opial condition and $T:Crightarrow X$ is a continuous admiting center map, then $T$ has a fixed point in $X.$ Also, we ...

0 Statistical Properties of Unimodal Maps

We prove that almost every real quadratic map is either regular or Collet-Eckmann. This implies exponential rates of mixing of the last renormalization of the map. We also show that the recurrence of the critical orbit is polynomial in a full measure set. It follows from a result of Baladi and Viana that almost every quadratic map is stochastically stable in the strong sense. Combined with meth...

Statistical properties of intermittent maps with unbounded derivative

Statistical Properties of Maps with Indifferent Periodic Points

In this note we prsent an axiomatic approach to the decay of correlations for maps of arbitrary dimension with indiierent periodic points. As applications, we apply our results to the well-known Manneville-Pomeau equation and the inhomoge-neous diophantine approximation algorithm. 0. Introduction In recent papers, Isola 4], Liverani et al 6], Young 9] and Hu 3] considered rates of mixing for th...