1.6k citations
- Centre National de la Recherche ScientifiqueFR542 papers
- Aix-Marseille UniversitéFR531 papers
- Institut Polytechnique de BordeauxFR309 papers
- Centrale MéditerranéeFR279 papers
- Château GombertFR213 papers
- Institut de Mécanique et d'Ingénierie de BordeauxFR110 papers
- Université de Provence Aix-Marseille IFR33 papers
- Centre de Physique ThéoriqueFR32 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR26 papers
- Institut de Mathématiques de ToulouseFR25 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR25 papers
- École Normale Supérieure - PSLFR19 papers
Showing 2023 · math.DSShow all
3 papers · 2 filters
math.DS2023
On the complexity of polygonal billiards
Tyll Krueger, Arnaldo Nogueira, Serge Troubetzkoy
We show that the complexity of the billiard in a typical polygon grows cubically and the number of saddle connections grows quadratically along certain subsequences. It is known th…
math.DS2023
Quantitative recurrence for tranformation
Françoise Pène, Benoit Saussol
We are interested in the study of the asymptotic behaviour of return times in small balls for the -transformation. We exhibit different asymptotic behaviours (different s…
math.DS2023
Continuous Lebesgue measure-preserving maps on one-dimensional manifolds: a survey
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We survey the current state-of-the-art about the dynamical behavior of continuous Lebesgue measure-preserving maps on one-dimensional manifolds.