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Describing the combinatorial structure of the tropical complex C of a tropical ma-troid polytope, we obtain a formula for the coarse types of the maximal cells of C. Due to the connection between trop...
The Gowers uniformity norms kfkUk(G) of a function f : G → C on a finite additive group G, together with the slight variant kfkUk([N]) defined for functions on a discrete interval [N] := {1, . . . ,N}...
In this note, we first classify all topological torus knots lying on the Heegaard torus in Lens spaces, and then we classify Legendrian representatives of torus knots. We show that all Legendrian toru...
Coherent potential approximation for disordered bosons
Coherent potential disordered bosons
2011/2/25
A family of random models for bosonic quasi-particle excitations, e.g. the vibrations of a disordered solid, is introduced. The generator of the linearized phase space dynamics of these models is the ...
D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck
connected sum Morse cobordism D-brane of A-type Polchinski-Grothendieck Ansatz
2011/1/17
In [L-Y5] (D(6): arXiv:1003.1178 [math.SG]) we introduced the notion of Azumaya C1-manifolds with a fundamental module and morphisms therefrom to a complex manifold. In the current sequel, we use this...
On the Combinatorial Multi-Armed Bandit Problem with Markovian Rewards
Combinatorial Multi-Armed Bandit Problem Markovian Rewards
2011/1/21
We consider a combinatorial generalization of the classical multi-armed bandit problem that is defined as follows.There is a given bipartite graph of M users and N M resources.
Linear space of spinor monomials and realization of the Nambu-Goldstone fermion in the Volkov-Akulov and Komargodski-Seiberg Lagrangians
Linear space of spinor monomials realization Nambu-Goldstone fermion Volkov-Akulov Komargodski-Seiberg Lagrangians
2011/3/2
The analytical algorithm previously proposed by the author for matching the Volkov-Akulov (VA) and Komargodski-Seiberg (KS) actions describing the Nambu-Goldstone (NG) fermion, is discussed.
Proving the existence of an operator that connects non-perturbed states to perturbed states, an alternative derivation of the Dalgarno-Lewis method is given.To illustrate that the Dalgarno-Lewis metho...
Solution for the problem of the game heads or tails
Solution；problem of the game heads；tails
2011/1/17
In this paper, we describe the solution for a problem dealing with definite properties of binary sequences. This problem, proposed by Xavier Grandsart in the form of a mathematical contest [1], has be...
Une nouvelle caractérisation des variétés de Veronese
Une nouvelle caractérisation variétés de Veronese
2011/1/18
Soit X un germe de vari´et´e complexe lisse en x 2 PN, `a osculation q-r´eguli`ere et tel que, pour toute direction v 2 PTxX, il existe une courbe rationnelle normale de degr´e...
Orthogonal polynomials and expansions for a family of weight functions in two variables
Orthogonal polynomials orthogonal expansions Jacobi polynomials
2011/2/25
Orthogonal polynomials for a family of weight functions on [1; 1]2,W ; ; (x; y) = jx + yj2 +1jx yj2 +1(1 x2) (1 y2) ; are studied and shown to be related to ...
Relative Equilibria of the $(1+N)$-Vortex Problem
Relative Equilibria $(1+N)$-Vortex Problem
2011/1/18
We examine existence and stability of relative equilibria of the n-vortex problem specialized to the case where N vortices have small and equal circulation and one vortex has large circulation.
Transparent pairs
Transparent pairs
2011/1/17
Let M be a closed orientable Riemannian surface. Consider an SO(3)-connection A and a Higgs field : M → so(3). The pair (A,) naturally induces a cocycle over the geodesic flow of M. We classify (up...
Let {En} be the Euler numbers. In the paper we determine E2mk+b − Eb modulo 2m+7, where k,m are positive integers with m 4 and b 2 {0, 2, 4, . . . }.
We study f(R)-gravity with torsion in presence of the most general ELKO matter. We check the consistency of the conservation laws with the matter field equations; we discuss some mathematical features...