Biorthogonal Polynomials,the Discrete Two-dimensional Toda Molecule and Plane Partitions

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：stonecxx

【摘要】

：

　　A connection between biorthogonal polynomials and plane partitions is discussed.For a combinatorial problem of counting plane partitions in a rectangular bo

【作者】

：

KamiokaShuhei;

【机构】

：

Kyoto Univ.

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　A connection between biorthogonal polynomials and plane partitions is discussed.For a combinatorial problem of counting plane partitions in a rectangular box,or for an equivalent problem of counting rhombus tilings of a hexagonal region,a product formula of MacMahon type is derived by means of biorthogonal polynomials including the little q-Jacobi polynomials.Another proof by using a special solution to the discrete two-dimensional Toda molecule is also shown.

其他文献

Optimal L2 Error for A Modified Crouzeix-Raviart Stokes Element

　　The talk is concerned with optimal L2 error estimates for the velocity approximation in a nonconforming finite element approximation for the incompressible

会议

Quantitative MRI Using Model-based Compressed Sensing

　　We develop a model based compressed sensing framework for fully quantitative MRI.That is the simultaneous acquisition of multiple MR physical parameters.The

会议

The State of Quantum Applications of Compressed Sensing and Low-rank Methods

　　Early developments in the theory of low-rank matrix recovery sparked significant interest from the physics community.Certain quantummechanical estimation pr

会议

Co-Sparse Tomographic Image Recovery:Performance Estimates and Large-Scale Programming

　　We investigate the reconstruction problem of discrete tomography and present a relation between image co-/sparsity and sufficient number of tomographic meas

会议

Compressed Sensing,Extensions and Applications

　　Compressed sensing has seen an enormous research activity in recent years.The key principle is that(approximately)sparse signals can be recovered efficientl

会议

On the Approximate Expression of Scallop Height under High-Order Contact

　　In milling path designing,the scallop height is a key concept.Traditionally,the approximate expression of the scallop height for flat-end cutter is obtained

会议

Simulation Based Machine and Process Development

　　In competitive markets,it is essential to improve the productivity,which can be achieved by raising the material removal rate.Yet,the dynamic behavior of th

会议

Jeu De Taquin Slide and Ultra-discrete KP Equation

　　Jeu de taquin is a combinatorial operation on skew Young tableaux.We consider difference equations that describe a Jeu de taquin slide and their relation to

会议

Determinantal Structures in the O'Connell-Yor Polymer

　　O'Connell-Yor polymer is a typical directed polymer model in 2 dimensioanl random media which belongs to the KPZ universality class and has nice integrable

会议

Modeling Multi-Stage Assembly Systems for Quality and Productivity

　　Assembly systems for consumer products are usually consisted of many machines arranged into various configurations.Variability and reliability at the machin

会议

Biorthogonal Polynomials,the Discrete Two-dimensional Toda Molecule and Plane Partitions

其他学术论文