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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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Some conjectures on real-rootedness
实根性 组合数学 大群多项式
2023/4/21
The real-rootedness has been drawing attention of many mathematicians to study them on a large group of polynomials in Combinatorics. This talk is concerned with some conjectures on the real-rootednes...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Twisted Real quasi-elliptic cohomology
扭曲 实拟椭圆 上同调
2023/4/13
Quasi-elliptic cohomology is closely related to Tate K-theory. It is constructed as an object both reflecting the geometric nature of elliptic curves and more practicable to study than most elliptic c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Real-time tool path planning using deep learning for subtractive manufacturing
深度学习 减材制造 实时刀具 路径规划
2023/4/25
Tool path planning is a crucial factor of computer-aided design and manufacturing (CAD/CAM). To generate suitable tool paths, the previous methods often transform the problem into local or global opti...
三亚国际数学论坛：From Approximation Theory to Real World Applications
三亚国际数学论坛 Approximation Theory Real World Applications
2017/7/3
Classical approximation theory, including polynomial approximation and splines etc., is a fundamental research area in applied mathematics. Development in approximation theory plays an important role ...
Math for the real world
Math real world
2016/4/25
The students see math in everything. The obesity epidemic. The effects of second-hand smoke. Prison reform. Political ads.They ask: Can we model these populations? Can we reveal what factors make a di...
QUASIHOMOGENEOUS THREE-DIMENSIONAL REAL ANALYTIC LORENTZ METRICS DO NOT EXIST
THREE-DIMENSIONAL LORENTZ METRICS
2015/10/14
We show that a germ of a real analytic Lorentz metric on R
3 which is locally homogeneous on an
open set containing the origin in its closure is necessarily locally homogeneous. We classifiy L...
REAL-TIME TIME-FREQUENCY BASED BLIND SOURCE SEPARATION
REAL-TIME TIME-FREQUENCY BLIND SOURCE SEPARATION
2015/9/29
We present a real-time version of the DUET algorithm forthe blind separation of any number of sources using only two mixtures. The method applies when sources are Wdisjoint orthogonal, that is, when t...
REAL-TIME AUDIO SOURCE SEPARATION BY DELAY AND ATTENUATION COMPENSATION IN THE TIME DOMAIN
REAL-TIME AUDIO SOURCE SEPARATION ATTENUATION COMPENSATION TIME DOMAIN
2015/9/29
There is increased interest in using microphone arrays in a variety of audio source separation and consequently speech processing applications. In particular, small arrays of two to four microphones a...
The modular group action on real SL(2){characters of a one-holed torus
one-holed torus group action
2015/9/29
The
action of Γ preserves a Poisson structure de ning a Γ{invariant area form on each
−1(t)\ R3. For t < 2, the action of Γ is properly discontinuous on the four contractible components of &...
CONVEX REAL PROJECTIVE STRUCTURES ON CLOSED SURFACES ARE CLOSED
REAL PROJECTIVE STRUCTURES CLOSED SURFACES
2015/9/29
T. The deformation space t(E) of convex Rp2_ structures on a closed
surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR)
of equivalence classes of representations r1 (l) -- ...
CONVEX REAL PROJECTIVE STRUCTURES ON COMPACT SURFACES
PROJECTIVE STRUCTURES COMPACT SURFACES
2015/9/29
The purpose of this paper is to investigate convex real projective structures on compact surfaces. Let RP2
be the real projective plane and
PGL(3, R) the group of projective transformations RP2
—...
Let G be a semisimple, simply connected, algebraic group defined over R. The set of real points G of G is not necessarily topologically simply connected, in which case G admits a non–trivial covering ...
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS
UNITARY SHIMURA CORRESPONDENCES SPLIT REAL GROUPS
2015/9/28
UNITARY SHIMURA CORRESPONDENCES FOR SPLIT REAL GROUPS.