Gamma-positivity is a property of polynomials that implies palindromicity and unimodality. It has received considerable attention in recent times because of Gal's conjecture, which asserts gamma-positivity of the h-polynomial of flag homology spheres. The Eulerian polynomials and the Narayana polynomials are examples of such h-polynomials that a...
Creator:
Wachs, Michelle (University of Miami)
Created:
2014-11-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Joint work with work with G. Dalzotto and A. Montes.In the talk we will deal with automatic discovery of elementary geometry theorems, through the algebraic geometry framework that has already shown its success for automatic theorem proving. Automatic discovery of theorems addresses the case of statements that are false in most relevant cases. I...
Creator:
Recio, Tomas (University of Cantabria)
Created:
2007-05-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will discuss geometric methods of investigating phylogenetic trees. In a joint project with Weronika Buczynska we investigate projective varieties which are binary symmetric models of trivalent phylogenetic trees. They have Gorenstein terminal singularities and are Fano varieties. Moreover any two such varieties which are of the same dimension...
Creator:
Wisniewski, Jaroslaw (University of Warsaw)
Created:
2007-03-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We discuss optimal low-rank approximation of matrices with non-negative entries, without the need of a regularization parameter. It will be shown that the standard SVD-approximation can be recovered via convex-optimization, which is why adding mild convex constraints often gives an optimal solution. Moreover, the issue of computability will be a...
Creator:
Grussler, Christian (Lund University)
Created:
2016-02-01
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Many problems in optimization of transportation networks for heat and power can be stated in terms of matrices with non-negative coefficients. Moreover, dynamical models for such systems often have monotone step responses. This has great advantages in design and verification of controllers for large-scale networks. In particular optimal controll...
Creator:
Rantzer, Anders (Lund University)
Created:
2013-06-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We report some new results obtained jointly with F. Gotze in cite{GT:2014}, cite{GT:2014a}.We obtain the non-improvable estimates of the rate of convergence of an expected spectral distribution function of Wigner random matrix to the semi-circular law under moment restrictions on the distributions of matrix entries. We prove as well the optimal ...
Creator:
Tikhomirov, Alexander (Russian Academy of Sciences)
Created:
2015-04-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A fundamental task in discrete differential geometry is the choice of representation of differential quantities. Different representations will lead to different optimization problems when using DDG in practice, and can considerably influence the scope of feasible applications.We will describe a novel choice of representation, based on functiona...
Creator:
Ben-Chen, Mirela (Technion-Israel Institute of Technology)
Created:
2013-10-31
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
