Admissible translates of stable measures

Admissible and Singular Translates of Measures on Vector Spaces

We provide a general setting for studying admissible and singular translates of measures on linear spaces. We apply our results to measures on D[0, 1]. Further, we show that in many cases convex, balanced, bounded, and complete subsets of the admissible translates are compact. In addition, we generalize Sudakov's theorem on the characterization of certain quasi-invariant sets to separable refle...

Admissible Representations of Probability Measures

In a recent paper, probabilistic processes are used to generate Borel probability measures on topological spaces X that are equipped with a representation in the sense of Type-2 Theory of Effectivity. This gives rise to a natural representation of the set M(X) of Borel probability measures on X. We compare this representation to a canonically constructed representation which encodes a Borel pro...

Admissible vector fields and quasi-invariant measures∗

Admissible Bases Via Stable Canonical Rules

We establish the dichotomy property of [7] for multi-conclusion stable canonical rules of [1]. This yields an alternative proof of existence of bases of admissible rules for such well-known systems as IPC, S4, and K4.

Non-divergence of Translates of Certain Algebraic Measures

Let G and H ⊂ G be connected reductive real algebraic groups defined over Q, and admitting no nontrivial Q-characters. Let Γ ⊂ G(Q) be an arithmetic lattice in G, and π : G→ Γ\G be the natural quotient map. Let μH denote the H-invariant probability measure on the closed orbit π(H). Suppose that π(Z(H)) is compact, where Z(H) denotes the centralizer of H in G. We prove that the set {μH · g : g ∈...