搜索结果: 1-15 共查到“数学 cones”相关记录23条 . 查询时间(0.125 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mean curvature flow coming out of cones
圆锥体 流出 平均曲率流
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2023/4/13
We study mean curvature flows (MCFs) coming out of cones. As cones are singular at the origin, the evolution is generally not unique. A special case of such flows is known as the self-expanders. We wi...
Higher connectedness of asymptotic cones
asymptotic cones function
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2015/8/26
We give coarse geometric conditions for a metric space X to have N-connected asymptotic cones. These conditions are expressed in terms of certain filling functions which are defined recursively on dim...
Lattice Point Generating Functions and Symmetric Cones
Lattice Point Generating Functions Symmetric Cones Combinatorics
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2012/6/29
We show that a recent identity of Beck-Gessel-Lee-Savage on the generating function of symmetrically contrained compositions of integers generalizes naturally to a family of convex polyhedral cones th...
Restricted normal cones and sparsity optimization with affine constraints
Compressed sensing constraint qualification Friedrichs angle linear convergence
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2012/5/24
The problem of finding a vector with the fewest nonzero elements that satisfies an underdetermined system of linear equations is an NP-complete problem that is typically solved numerically via convex ...
Restricted normal cones and the method of alternating projections
Constraint qualification convex set Friedrichs angle linear convergence method of alternating projections
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2012/5/24
The method of alternating projections (MAP) is a common method for solving feasibility problems. While employed traditionally to subspaces or to convex sets, little was known about the behavior of the...
Hyperbolicity cones of elementary symmetric polynomials are spectrahedral
hyperbolic polynomials hyperbolicity cones spectrahedral cones elementary symmetric polynomials spanning trees matrix-tree theorem
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2012/4/16
We prove that the hyperbolicity cones of elementary symmetric polynomials are spectrahedral, i.e., they are slices of the cone of positive semidefinite matrices. The proof uses the matrix--tree theore...
Tree-graded asymptotic cones
tree-graded asymptotic cone relatively hyperbolic
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2012/4/18
We study the bilipschitz equivalence type of tree-graded spaces, showing that asymptotic cones of relatively hyperbolic groups (resp. asymptotic cones of groups containing a cut-point) only depend on ...
The asymptotic shape, large deviations and dynamical stability in first-passage percolation on cones
The asymptotic shape dynamical stability cones Probability
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2011/9/2
Abstract: In this paper we consider first-passage percolation on certain subgraphs of the $\Z^d$ nearest neighbour graph. We present a three-fold extension of the Shape Theorem. Firstly, we show that ...
Algebraic boundaries of Hilbert's SOS cones
Positive polynomials K3 surfaces Hilbert's SOS cones
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2011/8/31
Abstract: We study the geometry underlying the difference between non-negative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and quaternary q...
An analytic approach to the stratified Morse inequalities for complex cones
complex cones stratified Morse inequalities Differential Geometry
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2011/8/30
Abstract: In a previous article the author extended the Witten deformation to singular spaces with cone-like singularities and to a class of Morse functions called admissible Morse functions. The meth...
Lie supergroups, unitary representations, and invariant cones
Lie supergroups unitary representations invariant cones
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2011/1/21
The goal of this article is twofold. First, it presents an application of the theory of invariant convex cones of Lie algebras to the study of unitary rep-resentations of Lie supergroups. Second, it p...
Complexified cones. Spectral gaps and variational principles
Complexified cones. Spectral gaps variational principles
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2010/11/24
We consider contractions of complexified real cones, as recently introduced by Rugh in [Rugh10]. Dubois [Dub09] gave optimal conditions to determine if a matrix contracts a canonical complex cone. Fir...
On the injectivity radius and tangent cones at infinity of gradient Ricci solitons
injectivity radius tangent cones infinity of gradient Ricci solitons
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2011/1/18
A lower-bound estimate of injectivity radius for complete Riemannian manifolds is discussed in a pure geometric viewpoint and is applied to study tangent cones at in nity of certain gradient Ricci sol...
Backward uniqueness for the heat equation in cones
heat equation cones
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2010/11/18
It is known that a bounded solution of the heat equation in a half-space which becomes zero at some time must be identically zero, even though no assumptions are made on the boundary values of the so...
Cox rings and pseudoeffective cones of projectivized toric vector bundles
Cox rings projectivized toric vector bundles
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2010/12/13
We study projectivizations of a special class of toric vector bundles that includes cotangent bundles, whose associated Klyachko filtrations are particularly simple.