Let Ω ⊆ ℝ 2 be a domain, let X rearrangement invariant space and f ∈ W 1 (Ω, ) homeomorphism between (Ω). Then there exists sequence of diffeomorphisms k converging to in the ).

We propose a simple version of chaotic inflation which leads to a division of the universe into infinitely many open universes with all possible values of Ω from 1 to 0. 1 E-mail: [email protected] Flatness of the universe (Ω = 1) for a long time has been considered as one of the most definite predictions of the inflationary theory. However, what will happen if ten years from now it wi...

We study the way isospin symmetry violation can be generated within the Hidden Local Symmetry (HLS) Model. We show that isospin symmetry breaking effects on pseudoscalar mesons naturally induces correspondingly effects within the physics of vector mesons, through kaon loops. In this way, one recovers all features traditionally expected from ρ−ω mixing and one finds support for the Orsay phase m...

Stochastic ω-Regular Games

Let P be a property (or, equivalently, a class) of topological spaces. A space X is called P-bounded if every subspace of X with (or in) P has compact closure. Thus, countable-bounded has been known as ω-bounded and (σ-compact)-bounded as strongly ω-bounded. In this paper we present a systematic study of the interrelations of these two known “boundedness” concepts with P-boundedness where P is ...

Preliminary Version This is an account of Keisler’s work showing that if a sentence φ of Lω1,ω that has few models in א1 each model of φ realizes only countably many types over the emptyset. The proof has two main components. One rephrases the existence of an end extension of a model A that omits a type p as a sentence (in an expanded vocabulary and logic) that is true in A. The other applies t...

We present an analysis of the process ψ(3686)→Ω−Ω¯+ (Ω−→K−Λ, Ω¯+→K+Λ¯, Λ→pπ−, Λ¯→p¯π+) based on a dataset 448×106 ψ(3686) decays collected with BESIII detector at BEPCII electron-positron collider. The helicity amplitudes for and decay parameters subsequent Ω−→K−Λ (Ω¯+→K+Λ¯) are measured first time by fit to angular distribution complete chain, spin Ω− is determined be 3/2 since its discovery m...

Let (Xt)t≥0 be the overdamped Langevin process on Rd, i.e. solution of stochastic differential equation dXt=−∇f(Xt) dt+h dBt. Ω⊂Rd a bounded domain. In this work, when X0=x∈Ω, we derive new sharp asymptotic equivalents (with optimal error terms) in limit h→0 mean exit time from Ω (which is (−h2Δ+∇f·∇)w=1 and w=0 ∂Ω), function f:Ω¯→R has critical points ∂Ω. Such setting one considered many cases...

We study the effect of regular and singular domain perturbations on layer potential operators for Laplace equation. First, we consider potentials supported a diffeomorphic image ϕ (∂Ω) reference set ∂Ω present some real analyticity results dependence upon map . Then introduce perforated Ω( ε ) with small hole size compute power series expansions that describe ∂Ω( when parameter approximates deg...