P. Berger

activity

20072026

most citedAbundance of non-uniformly hyperbolic Hénon like endomorphisms

11 citations · 46 across the 25 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.DS2017

On Herman's Positive Entropy Conjecture

Pierre Berger, Dimitry Turaev

We show that any area-preserving $C^{r}$ -diffeomorphism of a two-dimensional surface displaying an elliptic fixed point can be $C^{r}$ -perturbed to one exhibiting a chaotic island whos…

math.DS2017

Lectures on Structural Stability in Dynamics

Pierre Berger

These lectures present results and problems on the characterization of structurally stable dynamics. We will shed light those which do not seem to depend on the regularity class (h…

math.DS2017★ 2 cited

Generic family displaying robustly a fast growth of the number of periodic points

Pierre Berger

For any $2 \leq r \leq \infty$ , $n \geq 2$ , we prove the existence of an open set $U$ of $C^{r}$ -self-mappings of any $n$ -manifold so that a generic map $f$ in $U$ displays a fast growth…