A Variational Principle for the Hausdorff Dimension of Fractal Sets.
A walk through nonstandard analysis on the paths of A. Robinson. (Balade en analyse non standard sur les traces de A. Robinson.)
A weighted ergodic maximal equality for nonsingular semiflows
A weighted ergodic maximal equality is proved for a conservative and ergodic semiflow of nonsingular automorphisms.
A weighted pointwise ergodic theorem
A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies
Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms...
A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies
Rate-independent evolution for material models with nonconvex elastic energies is studied without any spatial regularization of the inner variable; due to lack of convexity, the model is developed in the framework of Young measures. An existence result for the quasistatic evolution is obtained in terms of compatible systems of Young measures. We also show as this result can be equivalently reformulated with probabilistic language and leads to the description of the quasistatic evolution in terms...
A -porous set need not be -bilaterally porous
A closed subset of the real line which is right porous but is not -left-porous is constructed.
A Тote on the Сompleteness of
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 the -measure of a set. II.
About -additive and -maxitive measures
Abschätzung der Hausdorffdimension für Mengen mit vorgeschriebenen Häufigkeiten der Ziffern.
Absolut konvergente Reihen und das Hausdorffsche Mass
Absolute continuity and hyponormal operators.
Absolute continuity and the Radon-Nikodym theorem.
Absolute continuity of vector measures
Absolute continuity theorems for abstract Riemann integration
Absolute continuity for functionals is studied in the context of proper and abstract Riemann integration examining the relation to absolute continuity for finitely additive measures and giving results in both directions: integrals coming from measures and measures induced by integrals. To this end, we look for relations between the corresponding integrable functions of absolutely continuous integrals and we deal with the possibility of preserving absolute continuity when extending the elemental...
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 Expansive Rational Maps with Rationally Indifferent Periodic Points.