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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Asymptotic log-concavity of dominant lower Bruhat intervals
显性 Bruhat区间 渐近对数凹性
2023/11/13
The unimodality of lower Bruhat intervals for the “upper half” remains as an open problem. For affine Weyl group W with corresponding finite Weyl group W_f, we prove that lower W_f-parabolic Bruhat in...
三亚国际数学论坛：Asymptotic,Algebraic and Geometric Aspects of Integrable Systems
三亚国际数学论坛 Asymptotic Algebraic Geometric Aspects Integrable Systems
2017/11/24
Integrable systems involves the study of physically relevant nonlinear equations, which includes many families of well-known, highly important partial and ordinary differential equations. Building on ...
Asymptotic Hecke algebras and involutions
Asymptotic Hecke algebras involutions Representation Theory
2012/4/17
In a previous paper the author and D. Vogan defined and studied a Hecke algebra module structure on a vector space spanned by the involutions in a Weyl group. In this paper this study is continued by ...
F-signature of pairs and the asymptotic behavior of Frobenius splittings
F-signature Cartier algebra F-pure F-regular splitting prime F-splitting ratio
2011/8/26
Abstract: We generalize $F$-signature to pairs $(R,D)$ where $D$ is a Cartier subalgebra on $R$ as defined by the first two authors. In particular, we show the existence and positivity of the $F$-sign...
We address the problem of ambiguity of a function determined by an asymptotic perturbation
expansion. Using a modified form of the Watson lemma recently proved elsewhere, we discuss a
large class of...
Random partitions and asymptotic theory of symmetric groups, Hecke algebras and finite Chevalley groups
Random partitions asymptotic theory of symmetric groups Hecke algebras finite Chevalley groups
2011/2/22
Kit meanwhile had begun to frequent the Applied Mechanics Institute. Since Prandtl’s recent discovery of the boundary layer, things over there had been hopping, with intense inquiry into matters of li...
Asymptotic expansions and extremals for the critical Sobolev and Gagliardo-Nirenberg inequalities on a torus
logarithmic Sobolev inequality sharp constants remainder terms lattice sums
2011/1/20
We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals,best constants, various re...
Asymptotic invariants, complexity of groups and related problems
word problem conjugacy problem computational complexity
2011/1/19
We survey results about computational complexity of the word problem in groups, Dehn functions of groups and related problems.
Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion
Asymptotic Properties of Linearized Equations Low Compressible Fluid Motion
2011/2/24
Initial–boundary value problem for linearized equations of motion of viscous barotropic fluid in a bounded domain is considered. Existence,uniqueness and estimates of weak solutions to this problem ar...
Asymptotic Behaviors of The Size of The Largest Cluster in One Dimensional Percolation
The Largest Cluster One Dimensional Percolation
2010/11/23
This paper focuses on the asymptotic behaviors of the length of the largest $1$-cluster in a finite iid Bernoulli sequence. We first reveal a critical phenomenon on the length and then study its limit...
Asymptotic Limit of a Singularly Perturbed Stationary Diffusion Equation: The Case of a Limit Cycle
Diffusion Equation Limit Cycle
2010/11/23
A limit cycle for a nonlinear ordinary differential equation has a sustained, stationary oscillation in time; Any non-trivial stationary stochastic process also exhibits stationary oscillations in tim...
Asymptotic decay for a one-dimensional nonlinear wave equation
one-dimensional nonlinear wave equation math
2010/11/9
We consider the asymptotic behaviour of finite energy solutions to the one-dimensional defocusing nonlinear wave equation $-u_{tt} + u_{xx} = |u|^{p-1} u$, where $p > 1$. Standard energy methods guar...
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes
symptotic for the Number of Solutions to Linear Equations Prime Numbers Specified Chebotarev Classes
2010/12/1
An Asymptotic for the Number of Solutions to Linear Equations in Prime Numbers from Specified Chebotarev Classes.
We obtain a projective submodule of Lie(n) in prime char-acteristic p for n not a p-power, and show that the ratio of its dimension to that of Lie(n) approaches 1 as n tends to infinity.
Enumerative and asymptotic analysis of a moduli space
Enumerative asymptotic analysis moduli space
2010/12/13
We study exact and asymptotic enumerative aspects of the Hilbert series of the cohomology
ring of the moduli space of stable pointed curves of genus zero. This manifold is related to the WDVV (Witten...