Related papers: The Lieb-Thirring inequalities: Recent results and…

We survey a variety of results about partially isometric matrices. We focus primarily on results that are distinctly finite-dimensional. For example, we cover a recent solution to the similarity problem for partial isometries. We also…

Herein we present one hundred inequalities culled from various corners of the probability, statistics, and combinatorics literature. We welcome new suggestions.

In this paper, we got some refinements of the norm inequalities related to the Heinz mean and logarithmic mean.

We present some new lower bound estimates for certain numbers in Laver table theory and introduce several related structures of interest.

In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.

We obtain some new inequalities of Chebyshev Type.

We propose a general strategy to derive Lieb-Thirring inequalities for scale-covariant quantum many-body systems. As an application, we obtain a generalization of the Lieb-Thirring inequality to wave functions vanishing on the diagonal set…

This document is a brief summary of progress that has been made on the problems posed in the document "Twenty Open Problems in Enumeration of Matchings" (also available from this server as math.CO/9801060). NOTE: This article has now been…

This is a short review on the applications of Lieb-Robinson bounds for a general readership of mathematical physicists.

The purpose of this note is to discuss several results that have been obtained in the last decade in the context of sharp adjoint Fourier restriction/Strichartz inequalities. Rather than aiming at full generality, we focus on several…

We discuss the well-known open problems: the local Steiness problem and the union problem.

Preliminary results of a selected few recent experiments at JLab are presented.

In this work we present a general introduction to the Signorini problem (or thin obstacle problem). It is a self-contained survey that aims to cover the main currently known results regarding the thin obstacle problem. We present the theory…

We investigate some aspects of bounding, splitting, and almost disjointness. In particular, we investigate the relationship between the bounding number, the closed almost disjointness number, splitting number, and the existence of certain…

Certain rearrangement inequalities of a type considered by Hardy, Riesz, and Brascamp-Lieb-Luttinger are studied. Subsets of the real line that extremize these inequalities are characterized. Our results apply only to special cases, and…

Considering some parameters and by means of an inequality of Hadamard, we derive general half-discrete Hilbert-type inequalities. Then we highlight some special cases.

We consider a recent The Vee's fair soup division problem, provide its partial solution, and pose a related open problem.

We survey some principal results and open problems related to colorings of algebraic and geometric objects endowed with symmetries.

We present some questions and suggestion on the second part of the Hilbert 16th problem

We survey classical and recent results on exponents of Diophantine approximation. We give only a few proofs and highlight several open problems.