An inequality of the eigenvalues of the reduced density matrix ρ 2 at finite temperature in the Hubbard model is obtained by means of the Bogolyubov inequality. The quasi-average of˜S + in a simple symmetry-breaking perturbation of the Hamiltonian for a bipartite lattice is shown to be zero. Hubbard models and its extensions such as the SO(5) model[1] are currently believed to be able to accoun...

In this paper we study the stability of the self-similar solutions of the binormal flow, which is a model for the dynamics of vortex filaments in fluids and super-fluids. These particular solutions χa(t, x) form a family of evolving regular curves of R that develop a singularity in finite time, indexed by a parameter a > 0. We consider curves that are small regular perturbations of χa(t0, x) fo...

We analyse an operator arising in the description of singular solutions to two-dimensional Keller-Segel problem. It corresponds linearised parabolic self-similar variables, close a concentrated stationary state. This is two-scale problem, with vanishing thin transition zone near origin. Via rigorous matched asymptotic expansions, we describe eigenvalues and eigenfunctions precisely. also show s...

‎let $g$ be a finite group‎. ‎an element $gin g$ is called non-vanishing‎, ‎if for‎ ‎every irreducible complex character $chi$ of $g$‎, ‎$chi(g)neq 0$‎. ‎the bi-cayley graph $bcay(g,t)$ of $g$ with respect to a subset $tsubseteq g$‎, ‎is an undirected graph with‎ ‎vertex set $gtimes{1,2}$ and edge set ${{(x,1),(tx,2)}mid xin g‎, ‎ tin t}$‎. ‎let $nv(g)$ be the set‎ ‎of all non-vanishing element...

A cloud detection algorithm that attempts to identify all of the significant power returns from the vertical column above the micro pulse lidar at all times was applied to one year of micro pulse lidar data collected at the U.S. Department of Energy (DOE) Atmospheric Radiation Measurement (ARM) Southern Great Plains (SGP) central facility near Lamont, Oklahoma. The results of this analysis are ...

This article reviews eight proposed strategies for solving the Symbol Grounding Problem (SGP), which was given its classic formulation in Harnad (1990). After a concise introduction, we provide an analysis of the requirement that must be satisfied by any hypothesis seeking to solve the SGP, the zero semantical commitment condition. We then use it to assess the eight strategies, which are organi...

In this paper, the behavior of the pseudopolynomial numerical hull of a square complex matrix with respect to structured perturbations and its radius is investigated.

We show that perturbations of massless fields in the Kerr black hole background enjoy a hidden $SL(2,\mathbb{R})\times {U}(1)$ ("Love") symmetry properly defined near zone approximation. Love mixes IR and UV modes. Still, this approximate allows us to derive exact results about static tidal responses. Generators are globally well have smooth Schwarzschild limit. Generic regular solutions Teukol...