Related papers: Golden-Thompson from Davis
Instantaneous derivation of the Thomas precession.
We provide a version of the Stein-Weiss inequality for arbitrary martingales.
General considerations on the Equivalence conjectures and a review of few mathematical results.
This short note provides a sharper upper bound of a well known inequality for the sum of divisors function. This is a problem in pure mathematics related to the distribution of prime numbers. Furthermore, the technique is completely…
We give a simpler proof of a result of Holland concerning a mixed arithmetic-geometric mean inequality. We also prove a result of mixed mean inequality involving the symmetric means.
Equivalencies of many basic elementary inequalities are given
We provide a proof of the sharp log-Sobolev inequality on a compact interval.
We indicate two short proofs of the Goresky-MacPherson topological invariance of intersection homology. One proof is very short but requires the Goresky-MacPherson support and cosupport axioms; the other is slightly longer but does not…
In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.
We obtain some new inequalities of Chebyshev Type.
We show that a simple and straightforward rational approximation to the Thomas--Fermi equation provides the slope at origin with unprecedented accuracy. We compare present approach with other available ones.
In this paper, we give a simple counter example to the famous Hodge conjecture.
In this note I give an information-theoretic proof of the Bonami-Beckner-Gross hypercontractive inequality.
There is a serious mistake in the proof.
In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.
In this note, we demonstrate the convergence of the Demailly approximation of a general (weakly) upper semi-continuous weight.
We prove several trace inequalities that extend the Golden-Thompson and the Araki-Lieb-Thirring inequality to arbitrarily many matrices. In particular, we strengthen Lieb's triple matrix inequality. As an example application of our four…
We obtain an asymptotically sharp error bound in the classical Sudakov-Fernique comparison inequality for finite collections of gaussian random variables. Our proof is short and self-contained, and gives an easy alternative argument for the…
We give a simple proof of the existence of a minimizer for the Sobolev inequality. Our proof is based on a representation formula via a cut-off fundamental solution.
An observation on Hall-Littlewood polynomials.