### A dimension group for local homeomorphisms and endomorphisms of onesided shifts fo finite type.

### A distributionally chaotic triangular map with zero sequence topological entropy.

### A Note on an Application of the Lasota-York Fixed Point Theorem in the Turbulent Transport Problem

We study a model of motion of a passive tracer particle in a turbulent flow that is strongly mixing in time variable. In [8] we have shown that there exists a probability measure equivalent to the underlying physical probability under which the quasi-Lagrangian velocity process, i.e. the velocity of the flow observed from the vintage point of the moving particle, is stationary and ergodic. As a consequence, we proved the existence of the mean of the quasi-Lagrangian velocity, the so-called Stokes...

### A note on counting cuspidal excursions.

### A note on strange nonchaotic attractors

For a class of quasiperiodically forced time-discrete dynamical systems of two variables (θ,x) ∈ ${T}^{1}\times {\mathbb{R}}_{+}$ with nonpositive Lyapunov exponents we prove the existence of an attractor Γ̅ with the following properties: 1. Γ̅ is the closure of the graph of a function x = ϕ(θ). It attracts Lebesgue-a.e. starting point in ${T}^{1}\times {\mathbb{R}}_{+}$. The set θ:ϕ(θ) ≠ 0 is meager but has full 1-dimensional Lebesgue measure. 2. The omega-limit of Lebesgue-a.e point in ${T}^{1}\times {\mathbb{R}}_{+}$ is $\Gamma \u0305$, but for a residual set of points in ${T}^{1}\times {\mathbb{R}}_{+}$ the omega limit is the...

### A remark on Denjoy's inequality and Herman's theorem

### A remark on expanding mappings

### A Schur-Horn-Kostant convexity theorem for the diffeomorphism group of the annulus.

### A Short Proof of a Theorem of Ruelle.

### Abelian Cocycles for Nonsingular Ergodic Transformations and the Genericity of Type III... Transformations.

### Absolutely continuous invariant measures for C2 unimodal maps satisfying the Collet-Eckmann conditions.

### 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

### 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. ${f}^{-1}\left(A\right)=A$), 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...

### Actions localement libres du groupe affine.

### Amenable actions of amalgamated free products of free groups over a cyclic subgroup and generic property

We show that the amalgamated free products of two free groups over a cyclic subgroup admit amenable, faithful and transitive actions on infinite countable sets. This work generalizes the results on such actions for doubles of free group on two generators.

### An algebraic group associated to an ergodic diffeomorphism

### An entropy for ${\mathbb{Z}}^{2}$ -actions with finite entropy generators

We study a definition of entropy for ${\mathbb{Z}}^{+}\times {\mathbb{Z}}^{+}$-actions (or ${\mathbb{Z}}^{2}$-actions) due to S. Friedland. Unlike the more traditional definition, this is better suited for actions whose generators have finite entropy as single transformations. We compute its value in several examples. In particular, we settle a conjecture of Friedland [2].