Statistical periodicity of deterministic systems
Statistical Solutions of PDEs by Nonstandard Densities.
Stetigkeitsaussagen zur Diskussion des Schnittverhaltens einer Ovalenschar mit einem Oval
Stochastic Basis in Fréchet Space.
Stochastic behavior above Feigenbaum's parameter value
Stochastic integration of functions with values in a Banach space
Let H be a separable real Hilbert space and let E be a real Banach space. In this paper we construct a stochastic integral for certain operator-valued functions Φ: (0,T) → ℒ(H,E) with respect to a cylindrical Wiener process . The construction of the integral is given by a series expansion in terms of the stochastic integrals for certain E-valued functions. As a substitute for the Itô isometry we show that the square expectation of the integral equals the radonifying norm of an operator which is...
Stochastic processes in nuclear spaces: quasi-martingales and decompositions
Stochastic Stability in Some Chaotic Dynamical Systems.
Stretched shadings and a Banach measure that is not scale-invariant
It is shown that if A ⊂ ℝ has the same constant shade with respect to all Banach measures, then the same is true of any similarity transformation of A and the shade is not changed by the transformation. On the other hand, if A ⊂ ℝ has constant μ-shade with respect to some fixed Banach measure μ, then the same need not be true of a similarity transformation of A with respect to μ. But even if it is, the μ-shade might be changed by the transformation. To prove such a μ exists, a Hamel basis with some...
Strict measure rigidity for unipotent subgroups of solvable groups.
Strict topologies as topological algebras
Let be a completely regular Hausdorff space, the space of all scalar-valued bounded continuous functions on with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally -convex.
Strict topology and perfect measures
Strict Uniformity in Ergodic Theory.
Stricte ergodicité des échanges d'intervalles.
Strictly ergodic Toeplitz flows with positive entropies and trivial centralizers
A class of strictly ergodic Toeplitz flows with positive entropies and trivial topological centralizers is presented.
Strictly ergodic, uniform positive entropy models
Strong bifurcation loci of full Hausdorff dimension
In the moduli space of degree rational maps, the bifurcation locus is the support of a closed positive current which is called the bifurcation current. This current gives rise to a measure whose support is the seat of strong bifurcations. Our main result says that has maximal Hausdorff dimension . As a consequence, the set of degree rational maps having distinct neutral cycles is dense in a set of full Hausdorff dimension.
Strong continuity of invariant probability charges
Consider a semigroup action on a set. We derive conditions, in terms of the induced action of the semigroup on {0,1}-valued probability charges, which ensure that all invariant probability charges are strongly continuous.
Strong differentiability with respect to product measures
Strong essential cluster sets.