Related papers: A short proof of Isserlis' theorem

This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a general uniform subadditive ergodic theorem for linearly repetitive tilings. This theorem unifies and extends various known (sub)additive…

We present in this work a new and simple proof of the false centre theorem.

We discuss several classical and recent proofs of the isoperimetric inequality and the Sobolev inequality.

In this paper we study the existence of solutions to an isotropic differential inclusion.

Here we give a short survey of our new results. References to the complete proofs can be found in the text of this article and in the litterature.

An anisotropic elasticity tensor can be approximated by the closest tensor belonging to a higher symmetry class. The closeness of tensors depends on the choice of a criterion. We compare the closest isotropic tensors obtained using four…

We give an effective infinitesimal Torelli theorem for cyclic covers of G/P, where G is a simple algebraic group and P is a maximal parabolic subgroup.

We give an elementary proof of the reducedness of twisted loop groups along the lines of the Kneser-Tits problem.

As a first application of a very old theorem, known as Herschel's theorem, we provide direct elementary proofs of several explicit expressions for some numbers and polynomials that are known in combinatorics. The second application deals…

In this note, we provide a short proof of Feige's conjecture for identically distributed random variables.

In a previous paper, field theory in curved space was considered, and a formula that expresses the first order variation of correlation functions with respect to the external metric was postulated. The formula is given as an integral of the…

We prove an optimal version of Wigner's unitary-antiunitary theorem. The main tool in our proof is Gleason's theorem.

When specialized to the context of permutations, Schmerl and Trotter's Theorem states that every simple permutation which is not a parallel alternation contains a simple permutation with one fewer entry. We give an elementary proof of this…

We first review asymptotic twistor theory with its real subspace of null asymptotic twistors. This is followed by a description of an asymptotic version of the Kerr theorem that produces regular asymptotically shear free null geodesic…

We give a relatively short and self contained proof of Ratner's theorem in the special case of SL(2,R)-invariant measures.

We find an elementary proof for Voiculescu's theorem on the polar decomposition of circular variables.

Arguably the simplest variation of this style of proof as we avoid reducing to the cubic case entirely.

New version, including a variant of Quillen's proof of the Solomon-Tits theorem.

We prove a comparison isomorphism between singular cohomology and sheaf cohomology.

In this paper, we give a detailed account of Goldfeld's proof of Siegel's theorem. Particularly, we present complete proofs of the nontrivial assumptions made in his paper.