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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...
We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existenceand uniqueness of a solu...
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE
MODULI SPACE POLYGONS EUCLIDEAN PLANE
2015/10/14
ON THE MODULI SPACE OF POLYGONS IN THE EUCLIDEAN PLANE.
Finiteness of central configurations of five bodies in the plane
Finiteness central configurations five bodies in the plane
2015/9/25
We prove there are finitely many isometry classes of planar central configurations (also called relative equilibria) in the Newtonian 5-body problem, except perhaps if the 5-tuple of positive masses b...
A PROOF OF THE UNIFORMIZATION THEOREM FOR ARBITRARY PLANE DOMAINS
UNIFORMIZATION THEOREM ARBITRARY PLANE DOMAINS
2015/8/26
We present a simple constructive proof of the Uniformization Theorem which works for plane domains. The proof is a combination of covering space theory and Koebe's constructive proof of the Riemann ma...
RECURSIONS FOR CHARACTERISTIC NUMBERS OF GENUS ONE PLANE CURVES
CHARACTERISTIC PLANE CURVES
2015/7/14
Characteristic numbers of families of maps of nodal curves to P2 are de ned as
intersection of natural divisor classes. (This de nition agrees with the usual de nition for
families of plane curves.)...
The Technion school lecture notes:the moving plane method,or doing PDEs in a cafe
Technion school lecture notes moving plane method doing PDEs a cafe
2015/7/14
We will have two main characters in these notes: the maximum principle and the sliding method. The latter has a twin, the moving plane method–they are often so indistinguishable that we will count the...
Random Walks and Plane Arrangements in Three Dimensions.
Efficient implementation of smo othed particle hydro dynamics (SPH) with plane sweep algorithm
Smoothed particle hydrodynamics Meshfree method Neighbour search Plane sweep algorithm Morton code Segment tree Quadtree Parallelization Dam break
2014/10/10
Neighbour search (NS) is the core of any implementations of smoothed particle hydrodynamics (SPH). In this paper, we present an efficient O( N log N) neighbour search method based on the plane sweep (...
Disposition Polynomials and Plane Trees
disposition disposition polynomial plane tree Prüfer correspondence
2014/6/3
We define the disposition polynomial Rm(x1, x2,..., xn) as ∏k=0m-1(x1 + x2 + ... + xn + k). When m=n-1, this polynomial becomes the generating function of plane trees with respect to the number of you...
Research on Algorithm of the Point Set in the Plane Based on Delaunay Triangulation
Point-Set in the Plane Delaunay Triangulation Removing Circle Finite Element Mesh
2013/1/30
In the paper, an improved algorithm is presented for Delaunay triangulation of the point-set in the plain. Based on the original algorithm, we propose the notion of removing circle. During the process...
Plane Stagnation Double-Diffusive MHD Convective Flow with Convective Boundary Condition in a Porous Media
Plane Stagnation Double-Diffusive MHD Convective Flow and Porous Media
2013/1/30
A numerical analysis has been carried out to study the problem of plane stagnation double-diffusive MHD convective flow with convective boundary condition in a porous media. The governing nonlinear pa...
An Error Estimate For a Plane Elasticity Problem and The Enhanced Assumed Strain Method
2D-elasticity enhanced strain method shear locking nonconforming element
2012/8/8
The method of enhanced assumed strains (EAS) is a popular tool for avoiding locking
phenomena, e.g., a remedy for shear locking in plane elasticity. We consider bending-dominated
problems and prove ...
Local invariants on quotient singularities and a genus formula for weighted plane curves
Local invariants quotient singularities genus formula weighted plane curves Algebraic Geometry
2012/6/30
In this paper we extend the concept of Milnor fiber and Milnor number of a curve singularity allowing the ambient space to be a quotient surface singularity. A generalization of the local {\delta}-inv...