Results 1  10
of
522,673
The 2adic valuation of plane partitions and totally symmetric plane partitions
"... This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an ncube is greater than the power of 2 dividing the number of totally symmetric plane partitions in the same cube when n is even, and less when n is odd. 1 ..."
Abstract
 Add to MetaCart
This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an ncube is greater than the power of 2 dividing the number of totally symmetric plane partitions in the same cube when n is even, and less when n is odd. 1
Open boundary Quantum KnizhnikZamolodchikov equation and the weighted enumeration of symmetric plane partitions
, 2007
"... We propose new conjectures relating sum rules for the polynomial solution of the qKZ equation with open (reflecting) boundaries as a function of the quantum parameter q and the τenumeration of Plane Partitions with specific symmetries, with τ = −(q + q −1). We also find a conjectural relation à la ..."
Abstract

Cited by 8 (1 self)
 Add to MetaCart
RazumovStroganov between the τ → 0 limit of the qKZ solution and refined numbers of Totally Symmetric Self Complementary Plane Partitions.
Type IIB GreenSchwarz superstring in plane wave RamondRamond background
 Nucl. Phys. B
"... We construct the covariant κsymmetric superstring action for type IIB superstring on plane wave space supported by RamondRamond background. The action is defined as a 2d sigmamodel on the coset superspace. We fix the fermionic and bosonic lightcone gauges in the covariant GreenSchwarz superstri ..."
Abstract

Cited by 476 (0 self)
 Add to MetaCart
We construct the covariant κsymmetric superstring action for type IIB superstring on plane wave space supported by RamondRamond background. The action is defined as a 2d sigmamodel on the coset superspace. We fix the fermionic and bosonic lightcone gauges in the covariant Green
IDENTITIES FOR SCHUR FUNCTIONS AND PLANE PARTITIONS
, 1998
"... Abstract. We use elementary methods to prove product formulas for sums of restricted classes of Schur functions. These imply known identities for the generating function for symmetric plane partitions with even column height and for the generating function for symmetric plane partitions with an even ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Abstract. We use elementary methods to prove product formulas for sums of restricted classes of Schur functions. These imply known identities for the generating function for symmetric plane partitions with even column height and for the generating function for symmetric plane partitions
Symmetry and Related Properties via the Maximum Principle
, 1979
"... We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting plan ..."
Abstract

Cited by 536 (4 self)
 Add to MetaCart
We prove symmetry, and some related properties, of positive solutions of second order elliptic equations. Our methods employ various forms of the maximum principle, and a device of moving parallel planes to a critical position, and then showing that the solution is symmetric about the limiting
Elementary proofs of identities for Schur functions and plane partitions
, 1998
"... We use elementary methods to prove product formulas for sums of restricted classes of Schur functions. These imply known identities for the generating function for symmetric plane partitions with even column height and for the generating function for symmetric plane partitions with an even number ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We use elementary methods to prove product formulas for sums of restricted classes of Schur functions. These imply known identities for the generating function for symmetric plane partitions with even column height and for the generating function for symmetric plane partitions with an even
Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
 SIAM Journal on Optimization
, 1993
"... We study the semidefinite programming problem (SDP), i.e the problem of optimization of a linear function of a symmetric matrix subject to linear equality constraints and the additional condition that the matrix be positive semidefinite. First we review the classical cone duality as specialized to S ..."
Abstract

Cited by 548 (12 self)
 Add to MetaCart
We study the semidefinite programming problem (SDP), i.e the problem of optimization of a linear function of a symmetric matrix subject to linear equality constraints and the additional condition that the matrix be positive semidefinite. First we review the classical cone duality as specialized
The grid file: an adaptable, symmetric multikey file structure
 In Trends in Information Processing Systems, Proc. 3rd ECZ Conference, A. Duijvestijn and P. Lockemann, Eds., Lecture Notes in Computer Science 123
, 1981
"... Traditional file structures that provide multikey access to records, for example, inverted files, are extensions of file structures originally designed for singlekey access. They manifest various deficiencies in particular for multikey access to highly dynamic files. We study the dynamic aspects of ..."
Abstract

Cited by 427 (4 self)
 Add to MetaCart
of tile structures that treat all keys symmetrically, that is, file structures which avoid the distinction between primary and secondary keys. We start from a bitmap approach and treat the problem of file design as one of data compression of a large sparse matrix. This leads to the notions of a grid
Arithmetic properties of plane partitions To Doron: a wonderful Mensch
"... The 2adic valuations of sequences counting the number of alternating sign matrices of size n and the number of totally symmetric plane partitions are shown to be related in a simple manner. ..."
Abstract
 Add to MetaCart
The 2adic valuations of sequences counting the number of alternating sign matrices of size n and the number of totally symmetric plane partitions are shown to be related in a simple manner.
Volume laws for boxed plane partitions and area laws for Ferrers diagrams
 In Fifth Colloquium on Mathematics and Computer Science, Discrete Mathematics and Theoretical Computer Science Proceedings, AG
, 2008
"... We asymptotically analyse the volumerandom variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most of t ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We asymptotically analyse the volumerandom variables of general, symmetric and cyclically symmetric plane partitions fitting inside a box. We consider the respective symmetry class equipped with the uniform distribution. We also prove area limit laws for two ensembles of Ferrers diagrams. Most
Results 1  10
of
522,673