output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

Showing 2022 · math.DSShow all

7 papers · 2 filters

math.DS2022★ 1 cited

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…

math.DS2022

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…

math.DS2022

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…

math.DS2022★ 3 cited

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,…

math.DS2022

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…

math.DS2022

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).