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A regularity result for the singular values of a transfer matrix and a quadratically convergent algorithm for computing its L_infinity-norm
Matrix and singular value differentiable function frequency singular value lipschitz second derivative
2015/8/12
The ith singular value of a transfer matrix need not be a differentiable function of frequency where its multiplicity is greater than one. We show that near a local maximum, however, the largest singu...
A local mountain pass type result for a system of nonlinear Schrodinger equations
local mountain pass type nonlinear Schrodinger equations
2015/4/3
A local mountain pass type result for a system of nonlinear Schrodinger equations.
A RESULT ON RICCI CURVATURE AND THE SECOND BETTI NUMBER
A RESULT RICCI CURVATURE THE SECOND BETTI NUMBER
2018/4/19
We prove that the second Betti number of a compact Riemannian manifoldvanishes under certain Ricci curved restriction.
A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin
Feedback Interconnection Negative Imaginary Systems Pole Origin
2011/9/16
Abstract: This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is derived, which ...
Abstract: The complete list of pairs of non-isomorphic finite simple groups having the same order is well-known. In particular for p>3, PSL_2(Z/p) is the "only" simple group of order (p^3-p)/2. It's l...
Lower bounds for volumes of nodal sets: an improvement of a result of Sogge-Zelditch
Lower bounds volumes of nodal sets Sogge-Zelditch
2011/8/22
Abstract: We use the Dong-Sogge-Zelditch formula to obtain a lower bound for the volume of the nodal sets of eigenfunctions. Our result improves the recent results of Sogge-Zelditch and in dimensions ...
On tight Euclidean $6$-designs: an experimental result
Euclidean designs spherical designs tight designs distance sets
2011/1/19
A finite set X n with a weight function w : X 0 is called Euclidean t-design in n (supported by p concentric spheres) if the following condition ho...
A result in the Ho and Lee's model.
We show the following symmetry property of a bounded Reinhardt domain $\Omega$ in $\mathbb{C}^{n+1}$: let $M=\partial\Omega$ be the smooth boundary of $\Omega$ and let $h$ be the Second Fundamental F...
A symmetry result on submanifolds of space forms and Applications
submanifolds space forms Applications
2010/11/11
In this paper we prove a symmetry result on submanifolds of codimension one in a n + 1-dimensional space form, related to the geodesic distance function and to the normal curvature of some fixed vect...
This short paper is dedicated to Mauricio Peixoto who abstracted the practical theory of ODE's and to David Rand who applied the subsequent powerful abstract theory to practical problems.
A paradox of altruism: How caring about future generations can result in poverty for everyone （game-theoretic analysis）
Nash bargaining solution
2010/9/13
Political and social activists are rightfully concerned about future generations: whenever a country borrows money, or an environmental situation worsens, this means, in effect, that we impose an addi...
A compactness result for Landau state in thin-film micromagnetics
compactness singular perturbation vortex N´ eel wall micromagnetics
2010/12/1
We deal with a nonconvex and nonlocal variational problem coming from thin-film micro-magnetics. It consists in a free-energy functional depending on two small parameters " and
and defined over vec...
I present Franz Lemmermeyer’s proof that if p is a prime ≡ 9 (16) then the class number of Qp 1 4 is ≡ 2 (4).
A universality result for endomorphism monoids of some ultrahomogeneous structures
endomorphism monoid Fra¨ı ss´ e limit pushout
2010/12/7
We devise a fairly general sufficient condition ensuring that the endomorphism monoid of a countably infinite ultrahomogeneous structure (i.e. a Fra¨ıss´e limit) embeds all countable semigr...