搜索结果: 1-11 共查到“组合数学 K-theory”相关记录11条 . 查询时间(0.062 秒)
Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory
Type A Combinatorial Theory Dirichlet Series
2015/7/6
Speci cally, two distinct versions of the Gelfand-Tsetlin de nition were given. It
is not apparent that they are equal. Either of these de nitions is purely local in that
it speci es the p-part of t...
Abstract: Extending Furstenberg's ergodic theoretic proof for Szemer\'edi's theorem on arithmetic progressions, Furstenberg and Weiss (2003) proved the following qualitative result. For every d and k,...
Discrete Morse theory and the consecutive pattern poset
consecutive pattern discrete Morse theory factor order Mobius function permutation patters posets
2011/9/13
Abstract: We use discrete Morse theory to provide another proof of Bernini, Ferrari, and Steingrimson's formula for the Mobius function of the consecutive pattern poset. In addition, we are able to de...
Chip-firing games, potential theory on graphs, and spanning trees
Chip-firing games graphs spanning trees Combinatorics
2011/8/26
Abstract: We study the interplay between chip-firing games and potential theory on graphs, characterizing reduced divisors ($G$-parking functions) on graphs as the solution to an energy (or potential)...
Some new results in extremal graph theory
extremal graph theory Combinatorics the underpinning ideas
2011/8/26
Abstract: In recent years several classical results in extremal graph theory have been improved in a uniform way and their proofs have been simplified and streamlined. These results include a new Erd\...
Random matrix theory of unquenched two-colour QCD with nonzero chemical potential
Spontaneous symmetry breaking matrix models chiral Lagrangians
2011/3/3
We solve a random two-matrix model with two real asymmetric matrices whose primary purpose is to describe certain aspects of quantum chromodynamics with two colours and dynamical fermions at nonzero q...
Fuzzy Scalar Field Theory as Matrix Quantum Mechanics
Fuzzy Scalar Field Theory Matrix Quantum Mechanics
2011/3/3
We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-dimensional matrix mo...
Constraint on periodic orbits of chaotic systems given by Random Matrix Theory
Constraint periodic orbits chaotic systems Random Matrix Theory
2011/3/4
Considering the fluctuations of spectral functions, we prove that if chaotic systems fulfill the Bohigas-Gianonni-Schmit (BGS) conjecture, which relates their spectral statistics to that of random mat...
Survey of Dynamical Matrices Theory
Vectorization Realignment Quantum operations Separable channels Dynamical matrices
2010/12/15
In this note, we survey some elementary theorems and proofs of dynamical matrices theory such that ones read them easily.
Asymptotes in $SU(2)$ Recoupling Theory: Wigner Matrices, $3j$ Symbols, and Character Localization
SU(2) representation theory semiclassical analysis
2010/12/14
In this paper we employ a novel technique combining the Euler Maclaurin formula with the saddle point approximation method to obtain the asymptotic behavior (in the limit of large representation index...
Counting SO(9)xSU(2) representations in coordinate independent state space of SU(2) Matrix Theory
Counting SO(9)xSU(2) representations SU(2) Matrix Theory
2010/12/8
We consider decomposition of coordinate independent states into SO(9)×SU(2)representations in SU(2) Matrix theory. To see what and how many representations appear in the decomposition, we compute the ...