Searcharxiv⌕ Search

arXiv subjects

Laurent Mazliak

Publications and source records attributed to Laurent Mazliak.

9 recordsLinked to original sources
arXiv2016

The beginnings of the Soviet encyclopedia

In this paper we focus on the beginning of publication of the Large Soviet Encyclopedia, launched in 1925. We present the context of this launching and explain why it was tightly connected to the period of the New Economical Policy. In a last section, we examine four articles included in the first volumes of the encyclopedia and relative to randomness and probability, in order to illustrate some debates of the scientific scene in USSR during the 1920s.

math.HO↗
arXiv2015

The ghosts of the Ecole Normale. Life, death and legacy of René Gateaux

The present paper deals with the life and some aspects of the scientific contributions of the mathematician René Gateaux, killed during World War 1 at the age of 25. Though he died very young, he left interesting results in functional analysis. In particular, he was among the first to try to construct an integral over an infinite dimensional space. His ideas were extensively developed later by Paul Lévy. Among other things, Lévy interpreted Gateaux's integral in a probabilistic framework that later contributed to the construction of the Wiener measure. This article tries to explain this singular personal and professional destiny in pre- and postwar France.

math.HO↗
arXiv2014

The Moravian crossroads. Mathematics and mathematicians in Brno between German traditions and Czech hopes

In the paper, we study the situation of the mathematical community in Brno, the maintown of Moravia, between 1900 and 1930. During this time, the First World War and, as one of its consequences, the creation of the new independent Czechoslovakia, created a major perturbation and was the occasion of a reorganization of the community. Its German and Czech sides were in particular constantly looking for a renewed cohabitation which proved difficult to establish along the sliding of political power from the Germans to the Czechs . We try to illustrate how before the war the main place for mathematics in Brno was the German Technical University whereas after the war it became the newly created Masaryk university.

math.HO↗
arXiv2013

Poincaré's Odds

This paper is devoted to Poincaré's work in probability. Though the subject does not represent a large part of the mathematician's achievements, it provides significant insight into the evolution of Poincaré's thought on several important matters such as the changes in physics implied by statistical mechan- ics and molecular theories. After having drawn the general historical context of this evolution, I focus on several important steps in Poincaré's texts dealing with probability theory, and eventually consider how his legacy was developed by the next generation.

math.HO↗
arXiv2011

The emergence of French statistics. How mathematics entered the world of statistics in France during the 1920s

This paper concerns the emergence of modern mathematical statistics in France after the First World War. Emile Borel's achievements are presented, and especially his creation of two institutions where mathematical statistics was developed: the {\it Statistical Institute of Paris University}, (ISUP) in 1922 and above all the {\it Henri Poincaré Institute} (IHP) in 1928. At the IHP, a new journal {\it Annales de l'Institut Henri Poincaré} was created in 1931. We discuss the first papers in that journal dealing with mathematical statistics.

math.HO↗
arXiv2010

Emile Borel's difficult days in 1941

The German forces occupying Paris arrested Emile Borel and three other members of the Académie des Sciences in October 1941 and released them about five weeks later. Why? We examine some relevant German and French archives and other sources and propose some hypotheses. In the process, we review how the Occupation was structured and how it dealt with French higher education and some French mathematicians.

math.HO↗
arXiv2009

The trace of First World War on mathematics in Brno

In the present paper, we study the evolution of the mathematical community in Brno (Brünn in German), the Moravian maintown, in the years between 1900 and 1930. In particular, we want to discuss how the Great War and its consequences (creation of Czechoslovakia and shift of power from the Germans to the Czechs) had an effect on this evolution.

math.HO↗
arXiv2006

Optimal control for rough differential equations

In this note, we consider an optimal control problem associated to a differential equation driven by a Hölder continuous function g of index greater than 1/2. We split our study in two cases. If the coefficient of dg\_t does not depend on the control process, we prove an existence theorem for a slightly generalized control problem, that is we obtain a literal extension of the corresponding deterministic situation. If the coefficient of dg\_t depends on the control process, we also prove an existence theorem but we are here obliged to restrict the set of controls to sufficiently regular functions.

math.PR↗