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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the dimension of limit sets on the real projective plane via stationary measures
实射影平面 极限集 维数 平稳测度
2023/11/29
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the dimension of limit sets on the real projective plane via stationary measures
实射 影平面 极限集 维数 平稳测度
2023/11/15
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Random Walks and Plane Arrangements in Three Dimensions.
Travelling Randomly on the Poincaré Half-Plane with a Pythagorean Compass
Random motions Poisson process telegraph process hyperbolic and spherical trigonometry
2011/9/20
Abstract: A random motion on the Poincar\'e half-plane is studied. A particle runs on the geodesic lines changing direction at Poisson-paced times. The hyperbolic distance is analyzed, also in the cas...
The Classical Limit of Representation Theory of the Quantum Plane
Classical Limit of Representation Theory of the Quantum Plane
2011/2/22
We showed that there is a complete analogue of a representation of the quantum plane Bq where |q| = 1, with the classical ax + b group.
The distribution of height and diameter in random non-plane binary trees
distribution of height diameter in random non-plane binary trees
2010/12/1
This study is dedicated to precise distributional analyses of the height of non-plane unlabelled binary trees (“Otter trees”), when trees of a given size are taken with equal likelihood. The height of...