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中国地质大学科学技术发展院肖异凡(博士生),何卫红等地球科学学院 Earth-Science Reviews，Available online 16 Feb 2018， Low-latitudinal standard Permian radiolarian biostratigraphy for multiple purposes with Unitary Association, Graphic Correlation, and Bayesian inference methods
低纬地区的标准二叠纪放射虫生物地层-单元组合法
2021/10/21
2018年2月，中国地质大学地球科学学院和生物地质与环境地质国家重点实验室何卫红教授团队，联合日本学者铃木纪毅博士，在国际地学领域著名期刊《Earth-Science Reviews》上在线发表题为“Low-latitudinal standard Permian radiolarian biostratigraphy for multiple purposes with Unitary Asso...
Eigenvalues of products of unitary matrices and Lagrangian involutions
Unitary representations Parabolic bundles Lagrangian involutions
2015/12/17
This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a puncturedsphere with fixedlocal monodromy. The submanifoldis definedvia products of inv...
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS
UNITARY SHIMURA CORRESPONDENCES SPLIT REAL GROUPS
2015/9/28
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS.
Unitary representations of real reductive groups
Unitary representations real reductive groups
2015/9/28
The purpose of this paper is to give a finite algorithm for computing the set of irreducible unitary representations of a real reductive Lie group G. Even before explaining the nature of the algorithm...
De nition 2.0.1. A representation (;X) on a Hilbert space
X is called unitary if X admits a (nondegenerate) inner product
h ; i such that G acts by unitary transformations.
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
groups that parallel real groups. In the case of real groups, the
results refer to J. Adams, P. Trapa, M. vanLeuwen, W-L. Yee a...
Hermitian and Unitary Representations for Affine Hecke Algebras
Affine Hecke Algebras Hermitian and Unitary
2015/8/17
This talk is about aspects of representation theory of padic
groups that parallel real groups. This conforms to the Lefschetz
principle which states that what is true for real groups is al...
Spherical Unitary dual for quasisplit real groups
quasisplit real groups Spherical Unitary
2015/8/17
G is the real points of a linear connected reductive group.
- g0 := Lie(G), Cartan involution, g0 = k0 + s0, g := (g0)C, K
maximal compact subgroup, g = k + s,
- P = MAN minimal parabolic subgrou...
SPHERICAL UNITARY DUAL FOR COMPLEX CLASSICAL GROUPS
CLASSICAL GROUPS SPHERICAL UNITARY DUAL
2015/8/17
The full unitary dual for the complex classical groups viewed as real Lie
groups is computed in [B1]. This was close to 20 years ago. Since then there
have been many advances, but the general proble...
SPHERICAL UNITARY REPRESENTATIONS FOR SPLIT REAL AND P-ADIC GROUPS
UNITARY REPRESENTATIONS P-ADIC GROUPS
2015/8/17
1.1. Positive de nite functions. We start with the classical notion of
positive de nite functions.
De nition. A continuous function f : R ! C is called positive de nite if
it satis es
(1...
New tests of the correspondence between unitary eigenvalues and the zeros of Riemann’s zeta function
Statistical tests random unitary matrix Riemann zeta function data set
2015/7/14
This paper presents some new statistical tests and new conjectures regarding
the correspondence between the eigenvalues of random unitary matrices and
the zeros of Riemann’s zeta function. Global fe...
Density of crystalline points on unitary Shimura varieties
Density of crystalline points unitary Shimura varieties Number Theory
2012/6/25
We prove that crystalline points are dense in the spectrum of the completed Hecke algebra on unitary Shimura varieties.
Residual automorphic forms and spherical unitary representations of exceptional groups
Arthur’s conjectures unitary dual residual Eisenstein series automorphic realizations
2012/5/25
Arthur has conjectured that the unitarity of a number of representations can be shown by finding appropriate automorphic realizations. This has been verified for classical groups by Moeglin and for th...
Extremal spacings of random unitary matrices
Extremal spacings random unitary matrices Mathematical Physics
2012/4/16
Extremal spacings between unimodular eigenvalues of random unitary matrices of size N pertaining to circular ensembles are investigated. Probability distributions for the minimal spacing for various e...
Superemitters in Hybrid Photonic Systems: A Simple Lumping Rule for the Local Density of Optical States and its Break-Down at the Unitary Limit
Superemitters Hybrid Photonic Systems Simple Lumping Rule Local Density of Optical States its Break-Down Optics
2012/4/20
We theoretically investigate how the enhancement of the radiative decay rate of a spontaneous emitter provided by coupling to an optical antenna is modified when this "superemitter" is introduced into...