Using data samples of 89.5 and 711 fb−1 recorded at energies s=10.52 10.58 GeV, respectively, with the Belle detector KEKB e+e− collider, we report measurements branching fractions semileptonic decays Ξc0→Ξ−ℓ+νℓ (ℓ=e or μ) CP-asymmetry parameter Ξc0→Ξ−π+ decay. The are measured to be B(Ξc0→Ξ−e+νe)=(1.31±0.04±0.07±0.38)% B(Ξc0→Ξ−μ+νμ)=(1.27±0.06±0.10±0.37)%, decay αΞπ is 0.63±0.03±0.01 much impr...

Recently Ozsváth and Szabó introduced a new isotopy invariant c(ξ) for contact 3– manifolds (Y, ξ) belonging to the Heegaard Floer homology group ĤF(−Y). They proved [27] that c(ξ) = 0 if ξ is an overtwisted contact structure, and that c(ξ) 6= 0 if ξ is Stein fillable. Later, they introduced also a refined version of the contact invariant denoted by c(ξ) taking values in the so-called Heegaard ...

Let d ≥ 3. We consider the global Cauchy problem for the generalised Navier-Stokes system ∂tu+ (u · ∇)u = −D u−∇p ∇ · u = 0 u(0, x) = u0(x) for u : R×R → R and p : R×R → R, where u0 : R d → R is smooth and divergence free, and D is a Fourier multiplier whose symbol m : R → R is non-negative; the case m(ξ) = |ξ| is essentially Navier-Stokes. It is folklore (see e.g. [5]) that one has global regu...

4 The Dwork-Robba theorem and the upper semicontinuity of ξ 7→ R(ξ,Σ) 9 4.1 The global growth estimate . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.2 The generalized Dwork-Robba theorem . . . . . . . . . . . . . . . . . . . . . . 10 4.3 Upper semicontinuity of ξ 7→ R(ξ,Σ) . . . . . . . . . . . . . . . . . . . . . . . 13 4.4 Continuity of ξ 7→ R(ξ,Σ) at maximal points (Dwork’s tra...

To measure how well a given complex number ξ can be approximated by algebraic numbers of degree at most n one may use the quantities w n (ξ) and w * n (ξ) introduced by Mahler and Koksma, respectively. The values of w n (ξ) and w * n (ξ) have been computed for real algebraic numbers ξ, but up to now not for complex, non-real algebraic numbers ξ. In this paper we compute w n (ξ), w * n (ξ) for a...

In fundamental-measure theories the bulk excess free-energy density of a hard-sphere fluid mixture is assumed to depend on the partial number densities {ρ(i)} only through the four scaled-particle-theory variables {ξ(α)}, i.e., Φ({ρ(i)})→Φ({ξ(α)}). By imposing consistency conditions, it is proven here that such a dependence must necessarily have the form Φ({ξ(α)})=-ξ(0)ln(1-ξ(3))+Ψ(y)ξ(1)ξ(2)/(...

The temperature inversion symmetry, for a non interacting super-symmetric ensemble, at finite volume, is studied. It is found that, the scaled free energy, f (ξ), is antisymmetric under temperature inversion transformation, i.e. f (ξ) = −ξ d f (1 ξ). This occurs for antiperiodic bosons and periodic fermions, in the compact dimension. On the contrary , for periodic bosons and antiperiodic fermio...

and Applied Analysis 3 linear equation, which requires special tricks and techniques. In the convergence process, a compensated compactness principle is applied. The rest of this paper is organized as follows. Section 2 is devoted to studying 1.5 . More precisely, we first study the penalized equation. In order to do this, we consider the corresponding linear equation and get its formal solutio...

for all v∈ ={v∈W 0 (Ω), v≥ψ a.e. in Ω}. Here Ω is a bounded domain in RN (N≥2) with Lipschitz boundary, 2≤ p ≤N . A(x,ξ) :Ω×RN → RN satisfies the following conditions: (i) A is a vector valued function, the mapping x → A(x,ξ) is measurable for all ξ ∈ RN , ξ → A(x,ξ) is continuous for a.e. x ∈Ω; (ii) the homogeneity condition: A(x, tξ)= t|t|p−2A(x,ξ), t ∈ R, t = 0; (iii) the monotone inequality...

The purpose of these notes is to provide a rapid introduction to von Neumann algebras which gets to the examples and active topics with a minimum of technical baggage. In this sense it is opposite in spirit from the treatises of philosophy is to lavish attention on a few key results and examples, and we prefer to make simplifying assumptions rather than go for the most general case. Thus we do ...