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7 papers · 2 filters
Languages of general interval exchange transformations
Sébastien Ferenczi, Pascal Hubert, Luca Q. Zamboni
The languages generated by interval exchange transformations have been characterized by Ferenczi-Zamboni (2008) and Belov-Cernyatev (2010) under some extra conditions on the system…
Irrational rotation dynamics for unimodal maps
Konstantin Bogdanov, Alexander Bufetov
The first result of the paper (Theorem 1.1) is an explicit construction of unimodal maps that are semiconjugate, on the post-critical set, to the circle rotation by an arbitrary ir…
The measure transfer for subshifts induced by a morphism of free monoids
Nicolas Bédaride, Arnaud Hilion, Martin Lustig
Every non-erasing monoid morphism induces a {\em measure transfer map} between the me…
Topological synchronisation or a simple attractor?
Theophile Caby, Michele Gianfelice, Benoit Saussol +1
A few recent papers introduced the concept of topological synchronisation. We refer in particular to \cite{TS}, where the theory was illustrated by means of a skew product system,…
Tumorigenesis and axons regulation for the pancreatic cancer: a mathematical approach
Sophie Chauvet, Florence Hubert, Fanny Mann +1
The nervous system is today recognized to play an important role in the development of cancer. Indeed, neurons extend long processes (axons) that grow and infiltrate tumors in orde…
An upper bound on topological entropy of the Bunimovich stadium billiard map
Jernej Činč, Serge Troubetzkoy
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most log(3.49066).