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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
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...
Improvement of Milk Fatty Acid Composition for Production of Functional Milk by Dietary Phytoncide Oil Extracted from Discarded Pine Nut Cones (Pinus koraiensis) in Holstein Dairy Cows
Dairy Cow Fatty Acids Feed Additive Milk Phytoncide Oil
2016/12/28
This study was conducted to examine the effects of adding phytoncide oil extracted from Korean pine nut cone byproduct to the diet of dairy cows on milk yield and compositions, fatty acid characterist...
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...
Conformational Dynamics and Thermal Cones of C-terminal Tubulin Tails in Neuronal Microtubules
microtubule C-terminal tubulin tail neuronal excitation
2015/7/29
In this paper we present a model for estimation of the C-terminal tubulin tail (CTT) dynamics in cytoskeletal microtubules of nerve cells. We show that the screened Coulomb interaction between a targe...
Variability of Norway spruce (Picea abies [L.] Karst.) cone entomofauna in the Tatra National Park in association with the development of cones
cones entomofauna Norway spruce sequence Tatra Mts
2015/3/19
In the years 1987–1993 research aimed at the qualitative and quantitative composition of insects inhabiting the cones of Norway spruce (Picea abies [L.] Karst.) was carried out in the area of the Tatr...
PIECES OF NILPOTENT CONES FOR CLASSICAL GROUPS
Nilpotent cone orbit nilpotent cone the number of dollars
2014/12/24
We compare orbits in the nilpotent cone of type $B_n$, that of type $C_n$, and Kato's exotic nilpotent cone. We prove that the number of $\F_q$-points in each nilpotent orbit of type $B_n$ or $C_n$ eq...
Occurrence and Genetic Similarity of Diplodia pinea on Shoots and Cones in Seed Orchards of Pinus spp. in North-Western Turkey
diplodia shoot blight pine RAMS disease severity
2015/3/11
Diplodia shoot blight disease can cause significant damage on coniferous trees and be particularly injurious to cones, which
reduces the amount of seed production and germination. We investigated th...
Lattice Point Generating Functions and Symmetric Cones
Lattice Point Generating Functions Symmetric Cones Combinatorics
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
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
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
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...
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
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
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
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...