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具有Pfaffian结构的Hermite-Pade逼近以及相关的Novikov尖峰孤子系统和可积格子方程
Pfaffian结构 Hermite-Pade逼近 Novikov尖峰孤子系统 可积格子方程
2023/1/5
Motivated by the Novikov equation and its peakon problem, we propose a new mixed type Hermite–Padé approximation whose unique solution is a sequence of polynomials constructed with the help of Pfaffia...
Abstract: We show that the Pfaffian of a generator matrix for the affine Kac--Moody algebra hat o_{2n} is a Segal--Sugawara vector. Together with our earlier construction involving the symmetrizer in ...
Pfaffian quartic surfaces and representations of Clifford algebras
Pfaffian quartic surfaces representations of Clifford algebras Algebraic Geometry Rings and Algebras
2011/8/29
Abstract: Given a nondegenerate ternary form $f=f(x_1,x_2,x_3)$ of degree 4 over an algebraically closed field of characteristic zero, we use the geometry of K3 surfaces and van den Bergh's correspond...
Open mirror symmetry for Pfaffian Calabi-Yau 3-folds
mirror symmetry Pfaffian Calabi-Yau 3-folds
2010/12/23
We investigate the open mirror symmetry of certain non-complete intersection Calabi- Yau 3-folds, so called pfaffian Calabi-Yau. We perform the prediction of the number of disk invariants of several ...
Pfaffian Stochastic Dynamics of Strict Partitions
Pfaffian Stochastic Dynamics Strict Partitions
2010/11/19
We study a family of continuous-time Markov jump processes on strict partitions (partitions with distinct nonzero parts) preserving the distributions introduced by Borodin (1997) in connection with p...
Pfaffian L-ensembles related to the z-measures on partitions with the Jack parameters 1/2 or 2
the z-measures on partitions the Jack parameters
2010/11/15
We construct Pfaffian L-ensembles related to the z-measures on partitions and to the Plancherel measures on partitions with the Jack parameters 1/2 or 2. The results imply that these measures on part...
Pfaffian formulae for one dimensional coalescing and annihilating systems
Pfaffian formulae one dimensional coalescing annihilating systems
2010/12/10
A variety of probabilities concerning coalescing and annihilating systems on R are shown to be given by pfaffians of two particle probabilities. As an application, an exact asymptotic for the n-point ...
基于广义逆的矩阵PADE逼近的Pfaffian计算公式及其应用
Pfaffian计算公式 矩阵PADE逼近 广义逆的
2009/10/26
A new matrir Pade approximants (GMPA) based on generalized inverse was at first introduced by [1]. The aim of this paper is to give a Psaan formula for denominator polynomial of GMPA, which should rep...