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Subshifts as models for MSO logic
International audience -
Subshifts as Models for MSO Logic
We study the Monadic Second Order (MSO) Hierarchy over colourings of the discrete plane, and draw links between classes of formula and classes of subshifts. We give a... -
Geometric properties of a class of piecewise affine biological network models
International audience -
Bowen's entropy-conjugacy conjecture is true up to finite index
For a topological dynamical system consisting of a continuous map f, and a (not necessarily compact) subset Z of X, Bowen (1973) defined a dimension-like version of... -
The three- and the N-body problem
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical relevance, its simplest solutions inherited from the two-body... -
Automates cellulaires probabilistes et mesures spécifiques sur des espaces sy...
A probabilistic cellular automaton (PCA) is a Markov chain on a symbolic space. Time is discrete, cells evolve synchronously, and the new content of each cell is... -
The almost Borel structure of diffeomorphisms with some hyperbolicity
Minicourse from the semester "Hyperbolicity, large deviations and fluctuations" (D. Dolgopyat, Y. Pesin, M. Pollicott and L. Stoyanov, Ecole polytechnique federale de Lausanne,...
