Related papers: Comments on a note by M. Waldschmidt

These notes are connected to a "potpourri" topics class and deal with some special cases of norms of various objects which arise in classical analysis.

This note presents a new proof of the well-known Strichartz estimates for the Schr\"odinger equation in $2+1$ dimensions, building on ideas from our recent work \cite{MO}.

These are some basic notes concerning Holder and Lipschitz classes on metric spaces.

In this note the authors have raised the question regarding the validity of the main result in [1] by setting an example.

This note is a somewhat-lighthearted comment on a recent paper by David Wallace, arXiv:0906.2718[quant-ph] entitled "A formal proof of the Born rule from decision-theoretic assumptions".

The paper of Unal [J. Math. Phys. 59, 062104 (2018)], though worthy of attention, contains a conclusion that is in error and may mislead the efforts to extend his results. The aim of the present note is twofold: we provide a correction to…

This paper is a comment to M Wilkinson, EPL 106 (2014) 40001, arXiv:1401.4620 [physics.ao-ph,cond-mat.soft], which draws conclusion from our data that are at variance with our observations.

The purpose of this short note is to show how it is possible to combine existing results in the literature to get the unique continuation from sets of positive measure for time dependent parabolic equations with Lipschitz principal part and…

This is a technical introduction to the paper "Extension of twisted Hodge metrics for Kahler morphisms" by the authors.

The paper gives a counter-example to the relative version of the Manin-Mumford conjecture.

These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new…

This supplementary part of the paper gr-qc 9312038 contains the necessary proofs of the claims stated in the main part.

I comment on some theoretical work presented at QCD Moriond 2006.

We comment on the recent paper by N.A. Tornqvist and M. Roos published in Phys. Rev. Lett. 76, 1575 (1996).

No abstract available, since this is a Comment on a published article (cf. title)

In this note, we present an improvement to a recent result due to Beresnevich, Levesley, and Ward (2021) pertaining to weighted simultaneous Diophantine approximation on manifolds.

These are extended notes of a lecture about the papers 1207.1883 by Esnault-Levine-Wittenberg and 1308.3024 by Wittenberg. The aim is to define the Esnault-Levine-Wittenberg indices, establish their basic properties amd to pose several…

This was originally an appendix to our paper `Fourier expansions at cusps' [arXiv:1807.00391]. The purpose of this note is to give a proof of a theorem of Shimura on the action of $\mathrm{Aut}(\mathbb{C})$ on modular forms for $\Gamma(N)$…

Some notes and observations on analytic functions defined on an annulus

Brief lecture notes for a course about random matrices given at the University of Cambridge.