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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Large deviations in random interlacements IV: the entropic repulsion phenomenon and other types of large deviations
随机交错 大偏差 熵斥力现象 大偏差
2023/5/8
In this lecture, I will talk about how to control the deviation of the occupation-time profile conditioned on disconnection so that this conditioning makes the model exhibit a phenomenon generally kno...
Estimation and goodness-of-fit for the Cox model with various types of censored data
Bivariate right censored data Bivariate data under univariate right censoring Bootstrap Doubly censored data Empirical likelihood Goodness-of-fit Partly interval-censored data
2015/12/11
The currently existing estimation methods and goodness-of-fit tests for the Cox model mainly deal with right censored data, but they do not have direct extension to other complicated types of censored...
ON HECKE ALGEBRA ISOMORPHISMS AND TYPES FOR DEPTH-ZERO PRINCIPAL SERIES
HECKE ALGEBRA ISOMORPHISMS DEPTH-ZERO PRINCIPAL SERIES
2015/9/29
These lectures describe Hecke algebra isomorphisms and types for depth-zero
principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ
is a depth-zero character on T(O...
Data compression and definability of types in stable and dependent formulas
Data compression formulas
2015/9/28
Data compression and definability of types in stable and dependent formulas.
This paper discusses the role of the relevant and petite K-types in the
classi cation of the spherical unitary dual for split real groups.
Let G be the rational points of a connected linear reductiv...
NOTATION
- G is the real points of a linear connected reductive group.
- g0 := Lie(G), Cartan involution, g := (g0)C, g0 = k0 + s0,
K maximal compact subgroup.
- A representation (,H) on a Hilb...
THE PEAK ALGEBRA AND THE DESCENT ALGEBRAS OF TYPES B AND D
peak algebra signed permutations Coxeter groups
2015/8/14
We show the existence of a unital subalgebra Pn of the symmetric group
algebra linearly spanned by sums of permutations with a common peak set, which we
call the peak algebra. We show that Pn is the...
Configuration types and cubic surfaces
Fat points free resolution cubic surface matroid Hilbert function
2012/4/16
This paper is a sequel to the paper \cite{refGH}. We relate the matroid notion of a combinatorial geometry to a generalization which we call a configuration type. Configuration types arise when one cl...
Crystal energy functions via the charge in types A and C
Crystal energy functions Combinatorics
2011/9/16
Abstract: The Ram-Yip formula for Macdonald polynomials (at t=0) provides a statistic which we call charge. In types A and C it can be defined on tensor products of Kashiwara-Nakashima single column c...
Abstract: Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\inft...
Hyperbolicity and identification of Berge knots of types VII and VIII
doubly primitive knot Alexander polynomial Reidemeister torsion
2011/8/23
Abstract: T. Saito and M. Teragaito asked in their paper whether Berge knots of type VII, which can be situated on the fiber surface of the lefthand trefoil, are hyperbolic, and showed that some infin...
Describing the combinatorial structure of the tropical complex C of a tropical ma-troid polytope, we obtain a formula for the coarse types of the maximal cells of C. Due to the connection between trop...
Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space
Non-existence of non-topological solitons types of gauge field theories Minkowski space
2011/1/17
In this paper the conditions, under which non-topological solitons are absent in Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained. It is also shown that non-topo...
A note on proper affine symmetry in Bianchi types VI_0 and VII_0 space-times
Affine vector fields holonomy and decomposability
2010/9/27
A study proper affine symmetry in the most general form of the Bianchi types 0 VI and 0 VII space-times is given by using holonomy and decomposability, the rank of the 6× 6 Riemann matrix and direct i...
Adjoint orbit types of compact exceptional Lie group G2 in its Lie algebra
exceptional Lie group G2 Lie algebra
2010/11/8
A Lie group $G$ naturally acts on its Lie algebra $\gg$, called the adjoint action. In this paper, we determine the orbit types of the compact exceptional Lie group $G_2$ in its Lie algebra $\gg_2$. ...