A Short Proof of a Theorem of Ruelle.
A spanning set for the space of super cusp forms.
A spectral gap property for subgroups of finite covolume in Lie groups
Let G be a real Lie group and H a lattice or, more generally, a closed subgroup of finite covolume in G. We show that the unitary representation of G on L²(G/H) has a spectral gap, that is, the restriction of to the orthogonal complement of the constants in L²(G/H) does not have almost invariant vectors. This answers a question of G. Margulis. We give an application to the spectral geometry of locally symmetric Riemannian spaces of infinite volume.
A survey of random processes with reinforcement.
A survey of results on density modulo of double sequences containing algebraic numbers
In this survey article we start from the famous Furstenberg theorem on non-lacunary semigroups of integers, and next we present its generalizations and some related results.
A toroidal compactification of the Fermi surface for the discrete Schrödinger operator.
A weak ergodic theorem for infinite products of Lipschitzian mappings.
A Wirsing-type approach to some continued fraction expansion.
Abelian Cocycles for Nonsingular Ergodic Transformations and the Genericity of Type III... Transformations.
Abelian groups of zero adjoint entropy
The notion of adjoint entropy for endomorphisms of an Abelian group is somehow dual to that of algebraic entropy. The Abelian groups of zero adjoint entropy, i.e. ones whose endomorphisms all have zero adjoint entropy, are investigated. Torsion groups and cotorsion groups satisfying this condition are characterized. It is shown that many classes of torsionfree groups contain groups of either zero or infinite adjoint entropy. In particular, no characterization of torsionfree groups of zero adjoint...
About projections of logarithmic Sobolev inequalities
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.
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