Related papers: A truncated manuscript
This is a retyped version of an unpublished manuscript from 1993. It contains proofs of two conjectures of Colliot-Th\'el\`ene, Sansuc and Swinnerton-Dyer on the arithmetic of intersections of two quadrics in the case where the variety…
The author reports his recollections of what transpired. These may or may not prove consistent with the contributions to be published in the proceedings. Corrections are welcome.
The abstract will be added in due course.
Asymptotic representation of minimal polynomials on several intervals is given. The last modifications and corrections of this manuscript were done by the author in the two months preceding his passing away in November 2009. The manuscript…
The aim of this short note is twofold. First, we give a sketch of the proof of a recent result proved by the authors in the paper [Colombo, Crippa, and Spirito, Calc. Var. Partial Differential Equations 2015] concerning existence and…
It was shown that when one disposes of a parametric information of the truncation distribution, the semiparametric estimator of the distribution function for truncated data (Wang, 1989) is more efficient than the nonparametric one. On the…
This is an updated version of the lectures notes for a course on condensed mathematics taught in the summer term 2019 at the University of Bonn. The material presented is joint work with Dustin Clausen. This is intended as a stable citable…
This an expository article on Givental's axiomatic Gromov--Witten theory and some of its applications.
Witnesses of medieval literary texts, preserved in manuscript, are layered objects , being almost exclusively copies of copies. This results in multiple and hard to distinguish linguistic strata -- the author's scripta interacting with the…
Summarizing results from Joseph Mecke's last fragmentary manuscripts, the generating function and the Laplace transform for nonnegative random variables are considered. The concept of thickening of a random variable, as an inverse operation…
Abstract redacted by arXiv administrators.
New title and minor adjustments. To appear in the Journal of Pure and Applied Algebra
We study two particular continuous prenormal forms as defined by Jean Ecalle and Bruno Vallet for local analytic diffeomorphism: the Trimmed form and the Poincare-Dulac normal form. We first give a self-contain introduction to the mould…
We provide an efficient algorithm for the classical problem, going back to Galton, Pearson, and Fisher, of estimating, with arbitrary accuracy the parameters of a multivariate normal distribution from truncated samples. Truncated samples…
Hopefully tex-able version.
This document is a collection of comments that I wrote down while reading the first four chapters of the book "Discrete Groups, Expanding Graphs and Invariant Measures" by Alexander Lubotzky. Most of them are more detailed versions of…
I analyze the implications of the recently published "Author Correction" (Nat Commun 14, 5322 (2023)) to a paper by Eremets and coauthors reporting magnetization measurements on hydrides under high pressure (Nat Commun 13, 3194 (2022)) to…
Remarks on mathematical proof and the practice of mathematics.
We present a refinement, by selfimprovement, of the arithmetic geometric inequality.
We present several results, including some remarks on the Hopf Lemma.