About Stefan's definition of a foliation with singularities : a reduction of the axioms
About the Algebraic Yuzvinski Formula
The Algebraic Yuzvinski Formula expresses the algebraic entropy of an endomorphism of a finitedimensional rational vector space as the Mahler measure of its characteristic polynomial. In a recent paper, we have proved this formula, independently fromits counterpart – the Yuzvinski Formula – for the topological entropy proved by Yuzvinski in 1968. In this paper we first compare the proof of the Algebraic Yuzvinski Formula with a proof of the Yuzvinski Formula given by Lind and Ward in 1988, underlying...
About the attractive points of the root functions on the Riemannian foliation.
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle.
About the existence of the thermodynamic limit for some deterministic sequences of the unit circle.
Absolute continuity, Lyapunov exponents and rigidity I: geodesic flows
We consider volume-preserving perturbations of the time-one map of the geodesic flow of a compact surface with negative curvature. We show that if the Liouville measure has Lebesgue disintegration along the center foliation then the perturbation is itself the time-one map of a smooth volume-preserving flow, and that otherwise the disintegration is necessarily atomic.
Absolute Stability and Bifurcation Theory.
Absolutely continuous dynamics and real coboundary cocycles in -spaces, 0 < p < ∞
Conditions for the existence of measurable and integrable solutions of the cohomology equation on a measure space are deduced. They follow from the study of the ergodic structure corresponding to some families of bidimensional linear difference equations. Results valid for the non-measure-preserving case are also obtained
Absolutely continuous invariant measures for C2 unimodal maps satisfying the Collet-Eckmann conditions.
Absolutely continuous, invariant measures for dissipative, ergodic transformations
We show that a dissipative, ergodic measure preserving transformation of a σ-finite, non-atomic measure space always has many non-proportional, absolutely continuous, invariant measures and is ergodic with respect to each one of these.
Absolutely Continuous Invariant Measures for Expansive Rational Maps with Rationally Indifferent Periodic Points.
Absolutely continuous invariant measures for maps with flat tops
Absolutely continuous measures for certain maps of an interval
Absolutely extremal points in minimal flows
Absorption in stochastic epidemics
A two dimensional stochastic differential equation is suggested as a stochastic model for the Kermack–McKendrick epidemics. Its strong (weak) existence and uniqueness and absorption properties are investigated. The examples presented in Section 5 are meant to illustrate possible different asymptotics of a solution to the equation.
Abstract mechanical connection and Abelian reconstruction for almost Kähler manifolds.
Abundance of hyperbolicity in the topology
Acceleration of material waves in Fermi accelerator.
Accessibility of typical points for invariant measures of positive Lyapunov exponents for iterations of holomorphic maps
We prove that if A is the basin of immediate attraction to a periodic attracting or parabolic point for a rational map f on the Riemann sphere, if A is completely invariant (i.e. ), and if μ is an arbitrary f-invariant measure with positive Lyapunov exponents on ∂A, then μ-almost every point q ∈ ∂A is accessible along a curve from A. In fact, we prove the accessibility of every “good” q, i.e. one for which “small neigh bourhoods arrive at large scale” under iteration of f. This generalizes the...
Accumulation constants of iterated function systems with Bloch target domains.