Let X be a nonsingular algebraic curve of genus g ≥ 3, and let M ξ denote the moduli space of stable vector bundles of rank n ≥ 2 and degree d with fixed determinant ξ over X such that n and d are coprime and d > n(2g − 2). We assume that if g = 3 then n ≥ 4 and if g = 4 then n ≥ 3. Let W ξ (L) denote the vector bundle over M ξ defined by the direct image p M ξ * (U ξ ⊗ p * X L) where U ξ is a ...

It is well known that the sphere S6(1) admits an almost complex structure J which nearly Kähler. If M a hypersurface of Hermitian manifold with unit normal vector field N, tangent ξ=−JN said to be characteristic or Reeb field. The Jacobi operator respect ξ called operator, and denoted by l=R(·,ξ)ξ, where R curvature tensor on M. study Riemannian submanifolds in different ambient spaces means th...

We study the existence of solutions mixed Riemann-Hilbert or Cherepanov boundary value problem with simply connected fibers on unit disk Δ. Let L be a closed arc ∂Δ end points ω−1,ω1 and let smooth function no zeros. {γξ}ξ∈∂Δ∖L˚ family Jordan curves in C which all contain point 0 their interiors such that γω−1, γω1 are strongly starshaped respect to 0. Then under condition for each w∈γω±1 angle...

We study an homogenization problem for Hamilton-Jacobi equations in the geometry of Carnot Groups.The tiling and the corresponding notion of periodicity are compatible with the dilatations of the Group and use the Lie bracket generating property. 1. Background and motivations Consider a Hamilton-Jacobi equation: u+H(ξ,∇u) = 0 in R where the Hamiltonian H(ξ, p) : R × RN×N → R is not coercive in ...

An integral formulation for heat conduction problems in non-homogeneous media has recently been proposed in [1]. The goal of this communication is to revisit and clarify two key features of the formulation of [1]. First, the contention that the integral equation formulation proposed in [1] does not possess the desired boundary-only character is made and substantiated; it is shown in particular ...

Let p be a prime number. Let w2 and w ∗ 2 denote the exponents of approximation defined by Mahler and Koksma, respectively, in their classifications of p-adic numbers. It is well-known that every p-adic number ξ satisfies w∗ 2(ξ) ≤ w2(ξ) ≤ w∗ 2(ξ) + 1, with w∗ 2(ξ) = w2(ξ) = 2 for almost all ξ. By means of Schneider’s continued fractions, we give explicit examples of p-adic numbers ξ for which ...

Abstract We investigate the production of the newly found pentaquark exotic baryon Ξ5 in the KN → KΞ5 and KN → KΞ5 reactions at the tree level. We consider the both positiveand negativeparities of the Ξ5. The reactions are dominated by the sand u-channel processes, and it is observed that the resulting cross sections are very much dependent on the parity of Ξ5 and on the type of form factor. We...

This paper considers large-scale multistage stochastic linear programs. Sampling is incorporated into the nested decomposition algorithm in a manner which proves to be significantly more efficient than a previous approach. The main advantage of the method arises from maintaining a restricted set of solutions that substantially reduces computation time in each stage of the procedure. Dedicated t...

Let μ and ν be measures supported on (−1, 1) with corresponding orthonormal polynomials { pn } and {pn} respectively. Define the mixed kernel K n (x, y) = n−1 ∑ j=0 pμj (x) p ν j (y) . We establish scaling limits such as lim n→∞ π √ 1− ξ √ μ′ (ξ) ν′ (ξ) n K n ( ξ + aπ √ 1− ξ n , ξ + bπ √ 1− ξ n ) = S ( π (a− b) 2 ) cos ( π (a− b) 2 +B (ξ) ) , where S (t) = sin t t is the sinc kernel, and B (ξ) ...

Let us first recall what is the essential dimension of a functor, cf. [BR 97] and [R 00]. Let k be a field, and let F be a functor from the category of field extensions of k into the category of sets. Let F/k be an extension and let ξ be an element of F(F ). If E is a field with k ⊂ E ⊂ F we say that ξ comes from E if it belongs to the image of F(E) → F(F ). The essential dimension ed (ξ) of ξ ...