A simple mathematical model for Batesian mimicry.
A thermodynamic approach to locally symmetric manifolds of higher rank
A topological characterization of holomorphic parabolic germs in the plane
J.-M. Gambaudo and É. Pécou introduced the "linking property" in the study of the dynamics of germs of planar homeomorphisms in order to provide a new proof of Naishul's theorem. In this paper we prove that the negation of the Gambaudo-Pécou property characterizes the topological dynamics of holomorphic parabolic germs. As a consequence, a rotation set for germs of surface homeomorphisms around a fixed point can be defined, and it turns out to be non-trivial except for countably many conjugacy classes....
A topological invariant for pairs of maps
In this paper we develop the notion of contact orders for pairs of continuous self-maps (f, g) from ℝn, showing that the set Con(f, g) of all possible contact orders between f and g is a topological invariant (we remark that Con(f, id) = Per(f)). As an interesting application of this concept, we give sufficient conditions for the graphs of two continuous self-maps from ℝ intersect each other. We also determine the ordering of the sets Con(f, 0) and Con(f, h), for h ∈ Hom(ℝ) such that f ∘ h = h ∘...
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle.
Action minimizing invariant measures for positive definite Lagrangian systems.
Actions de groupes de Kazhdan sur le cercle
Actions of the group of homeomorphisms of the circle on surfaces
We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.
Adding machines, endpoints, and inverse limit spaces
Let f be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space (I,f), where I denotes the core of the map.
Affine diffeomorphisms of translation surfaces : periodic points, fuchsian groups, and arithmeticity
Almost sure rates of mixing for i.i.d. unimodal maps
An approach to zeta-function of finite factorgraph via the Markov topological chains
An earthquake version of the Jackson-Zygmund theorem.
An implementation of the Bestvina-Handel algorithm for surface homeomorphisms.
Analytic solutions for polynomial-like iterative equations with variable coefficients
Analytic solutions of polynomial-like iterative functional equations with variable coefficients are discussed in the complex field ℂ by reducing to an auxiliary equation and by applying known results for systems of nonlinear functional equations of finite orders.
Analytical investigation of the onset of bifurcation cascade in two logistic-like maps.
Approximating entropy of maps of the interval
Area preserving group actions on surfaces.
Attractors and Inverse Limits.
This paper surveys some recent results concerning inverse limits of tent maps. The survey concentrates on Ingram’s Conjecture. Some motivation is given for the study of such inverse limits.
Attractors for maps with fractional inverse.