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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent developments on random hyperbolic surfaces of large genus
大属随机 双曲曲面 球面几何
2023/4/21
In this talk, we report several very recent asymptotic results on certain classical geometric quantities viewed as random variables on the moduli space of Riemann surfaces for large genus (and many cu...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Exponential mixing of frame flows for geometrically finite hyperbolic manifolds with cusps
几何有限 双曲流形带尖 框架流 指数混合
2023/4/28
I will present the joint work with Jialun Li and Pratyush Sarkar in the talk. As a final work to establish that the frame flows for geometrically finite hyperbolic manifolds of arbitrary dimensions ar...
We show that for arbitrary fixed conjugacy classes C1, . . . , Cl, l ≥ 3, of loxodromic isometries of the two-dimensional complex or quaternionic hyperbolic space there exist isometries g1, . . . , gl...
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE
SYMPLECTIC GEOMETRY POLYGONS HYPERBOLIC 3-SPACE
2015/10/14
THE SYMPLECTIC GEOMETRY OF POLYGONS IN HYPERBOLIC 3-SPACE.
Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps
Analytic torsion Reidemeister torsion hyperbolic 3-manifolds cusps Spectral Theory
2012/6/14
For a non-compact hyperbolic 3-manifold with cusps we prove an explicit formula that relates the regularized analytic torsion associated to the even symmetric powers of the standard representation of ...
Equidistribution of Eisenstein series on convex co-compact hyperbolic manifolds
Equidistribution of Eisenstein series convex co-compact hyperbolic manifolds Spectral Theory
2011/9/5
Abstract: For convex co-compact hyperbolic manifolds $\Gamma\backslash \mathbb{H}^{n+1}$ for which the dimension of the limit set satisfies $\delta_\Gamma< n/2$, we show that the high-frequency Eisens...
Homogeneous polar foliations of complex hyperbolic spaces
Polar actions, homogeneous foliations, complex hyperbolic space
2011/8/25
Abstract: We prove that, up to isometric congruence, there are exactly 2n+1 homogeneous polar foliations of the complex hyperbolic space. We also give an explicit description of each of these foliatio...
Defining relations of almost affine (hyperbolic) superalgebras
Hyperbolic Lie superalgebra
2011/1/17
For all almost affine (hyperbolic) Lie superalgebras, the defining relations are computed in terms of their Chevalley generators.
Explicit Formula for the Hyperbolic Scattering Determinant
explicit formulas hyperbolic scattering determinant
2007/12/11
We prove the explicit formula for the hyperbolic scattering determinant in the case of a general subgroup $\Gamma $ of ${\rm PSL}\left( 2,\mathbb{R}\right) $. The class of test functions involved (not...
专著信息
书名
Two interface type methods for computing hyperbolic systems with geometrical source terms having concentrations,
语种
英文
撰写或编译
作者
S. Jin,Xin Wen
第一作者单位
出版社
SIAM J. Scientific Computing 26, 2079-...
专著信息
书名
An efficient method for computing hyperbolic systems with geometrical source terms having concentrations,
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
J. Computational Mathematics 22, 230-249, 2004...