On the dynamical meaning of spectral dimensions
On the dynamics of rational maps
On the entropy and generators of dynamical systems
Recently D. Dumitrescu ([4], [5]) introduced a new kind of entropy of dynamical systems using fuzzy partitions ([1], [6]) instead of usual partitions (see also [7], [11], [12]). In this article a representation theorem is proved expressing the entropy of the dynamical system by the entropy of a generating partition.
On the Entropy of the Geodesic Flow in Manifolds Without Conjugate Points.
On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
On the equivalence between CH and the existence of certain -Luzin subsets of .
On the ergodic decomposition for a cocycle
Let (X,,μ,τ) be an ergodic dynamical system and φ be a measurable map from X to a locally compact second countable group G with left Haar measure . We consider the map defined on X × G by and the cocycle generated by φ. Using a characterization of the ergodic invariant measures for , we give the form of the ergodic decomposition of or more generally of the -invariant measures , where is χ∘φ-conformal for an exponential χ on G.
On the Euler Characteristic in Spaces with a Separability Property.
On the existence of a Haar measure in topological IP-loops
In this paper, we give conditions ensuring the existence of a Haar measure in topological IP-loops.
On the existence of an invariant measure for the dynamical system generated by partial differential equation
On the existence of cohomologous continuous cocycles for cocycles with values in some Lie groups
On the existence of conditional density functions
On the existence of disintegrations
On the existence of finite generators for invertible measure-preserving transformations
On the existence of G-compactifications
On the existence of invariant measures for Markov processes
On the existence of invariant measures for piecewise convex transformations
On the existence of measures on σ-algebras
On the Existence of Pathological Submeasures and the Construction of Exotic Topological Groups.
On the existence of the functional measure for 2D Yang-Mills theory
We prove the existence of the path-integral measure of two-dimensional Yang-Mills theory, as a probabilistic Radon measure on the "generalized orbit space" of gauge connections modulo gauge transformations, suitably completed following the approach of Ashtekar and Lewandowski.