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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...
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
2023/5/4
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...
LIMIT THEOREMS FOR DISPERSING BILLIARDS WITH CUSPS
Dispersing billiards Sinai billiards cusps
2015/9/29
Dispersing billiards with cusps are deterministic dynamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic patterns. Their statisti...
CONVERGENCE OF MOMENTS FOR DISPERSING BILLIARDS WITH CUSPS
Chaos decay of correlations Central Limit Theorem
2015/9/29
Dispersing billiards with cusps are deterministic dnamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic paterns.
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 ...
Cusps of the Kähler moduli space and stability conditions on K3 surfaces
Cusps of the Kä hler moduli space stability conditions
2011/1/21
In [Ma09] S. Ma established a bijection between Fourier–Mukai partners of a K3 surface and cusps of the K¨ahler moduli space.The K¨ahler moduli space can be described as a quotient of Bridgeland’s sta...
This paper studies the Fourier expansion of Hecke-Maass eigenforms for GL(2,Q) of arbitrary
weight, level, and character at various cusps. Translating well known results in the theory of adelic autom...
Convergence of Bieberbach polynomials in domains with interior cusps
Bieberbach polynomials domains interior cusps
2010/10/29
We extend the results on the uniform convergence of Bieberbach polynomials to domains with certain interior zero angles (outward pointing cusps), and show that they play a special role in the problem....