Laurent Mazliak

Laurent Mazliak
Sorbonne Université, Paris, France · Laboratoire de Probabilité, Statistiques et Modélisation

PhD, Habilitation

About

131
Publications
7,632
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Introduction
Laurent Mazliak currently works at the Laboratoire de probabilités, statistiques et modélisation (LPSM), Sorbonne Université (Paris, France). Laurent does research in History of Science, History of Mathematics and Applied Mathematics. Their current project is 'Mathematical communities in the aftermath of First World War.'
Additional affiliations
September 1993 - April 2016
Sorbonne Université
Position
  • Maître de Conférences

Publications

Publications (131)
Article
Full-text available
This article presents an exchange of letters between Wacław Sierpiński and Paul Montel during the year 1945. This correspondence, translated here into English, provides insight into how and in what form the French learned about the dramatic fate of many Polish mathematician colleagues during the war. We also give a short biography of the two protag...
Article
This article studies the work of the Japanese actuary and probabilist Kameda Toyojiro (1885-1944) who took a major part in the transfer of modern probabilistic technology to Japan at the beginning of the 20th century. Very familiar with contemporary English and German works, he made an early use of certain fundamental concepts of probability theory...
Chapter
The present chapter tackles a fundamental aspect of the 1920s and evokes the situation of the political refugees in Europe by following the various trajectories of mathematicians who fled the Bolshevik regime in Russia and settled down in Paris. For various reasons, there were not so many mathematicians among the Russian emigration, but their origi...
Book
This book is a consequence of the international meeting organized in Marseilles in November 2018 devoted to the aftermath of the Great War for mathematical communities. It features selected original research presented at the meeting offering a new perspective on a period, the 1920s, not extensively considered by historiography. After 1918, new cou...
Book
Publié pour la première fois par Maurice Fréchet et Maurice Halbwachs en 1924, Le calcul des probabilités à la portée de tous a été écrit à partir des cours donnés conjointement par le mathématicien et le sociologue, depuis 1921, à l'institut commercial de Strasbourg. Leur texte explore d’une façon très profonde les concepts des mathématiques du ha...
Book
The present book contains the voluminous correspondence exchanged between the Swedish mathematician Gösta Mittag-Leffler and his younger Italian colleague Vito Volterra spanning a period of almost forty years at the end of the 19th and beginning of the 20th centuries. The relationship between the two men is remarkable for both personal and scientif...
Conference Paper
Full-text available
In this paper, I shall focus on some specific aspects of the mathematical life in Occupied France between 1940 and 1944. As I shall try to demonstrate, a singularity of the French situation was the complicated coexistence of two administrative systems (one imposed by the Germans, the other submitted to Vichy bureaucracy) which, at least until 1943,...
Article
In this paper, we focus on the launch of the Great Soviet Encyclopedia, which was first published in 1925. We present the context of the launch and explain why it was closely connected to the period of the New Economic Policy. In the last section, we examine four articles about randomness and probability included in the first volumes of the encyclo...
Article
The entwining of Probability Theory and Statistics A trained mathematician and an expert in probability theory, Laurent Mazliak first did research on stochastic control before turning to the history of mathematics. He worked on the emergence of modern probabilities in the early 20th Century. He also studied the influence of World War I on mathemati...
Article
Full-text available
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 randomn...
Chapter
The somewhat grandiloquent words of the previous poem, written by the French writer Jean Aicard (1848–1921), area tribute to the visit of the Italian sovereigns to Paris, an important diplomatic event organized in 1904 to mark the rapprochement between Paris and Rome.
Chapter
This chapter provides a detailed examination of the manner in which elements drawn from a reading of Volterra’s work on the generalization of the concept of function and differential calculus became decisive for the research programs of first Hadamard and then Fréchet , and how this passing of the baton to a new generation marked a turning point in...
Book
The contributions in this proceedings volume offer a new perspective on the mathematical ties between France and Italy, and reveal how mathematical developments in these two countries affected one another. The focus is above all on the Peninsula’s influence on French mathematicians, counterbalancing the historically predominant perception that Fren...
Article
Full-text available
This chapter provides a detailed examination of the manner in which elements drawn from a reading of Volterra's work on the generalization of the concept of function and differential calculus became decisive for the research programs of first Hadamard and then Fréchet, and how this passing of the baton to a new generation marked a turning point in...
Article
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 mechanics and molecular theories. After having dr...
Article
Full-text available
The present paper deals with the life and some aspects of the scientific contributions of the mathematician René Gateaux, killed during World War I 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....
Article
In this paper, we present a general overview of the involvement of Italian mathematicians in World War I, with a special look at the cases of Volterra and Picone, and considerations about the difficult post-war situation in Italy, with its opposing desires for retribution on the one hand and internationalism on the other.
Article
Here we provide a selection of writings and quotes by Italian mathematicians, who recount in their own words their experiences as mathematicians during the Great War. Two historic writings texts in particular, respectively by Mauro Picone and Alessandro Terracini, are presented in their entirety in the appendices.
Article
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Article
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Beyond real numbers : Émile Borel and the probabilistic approach to reality The aim of this article is to examine how Émile Borel, on the basis of his research concerning the structure of real numbers and his rejection of the abstract views of Georg Cantor, discovered in probability calculus an appropriate tool for formulating a new approach to the...
Chapter
The book’s introduction presents the main mathematical themes considered by Paul Lévy and Maurice Fréchet in their correspondence to one another and examines the scientific and institutional context in which their letters were exchanged during their nearly fifty years of correspondence. The book is divided into helpful sections. A first section is...
Chapter
The second part contains the transcription of the 107 letters from Paul Lévy to Maurice Fréchet sent between 1918 and 1965, which are now kept at Paris Academy of Science. The original French text of the letters is annotated by numerous footnotes giving explanations on names, events, references and so on.
Article
Full-text available
In France the tragic story of Maurice Audin is by now relatively well-known but the originality of the touching book by Michèle Audin lies in the introspective nature of the account, seen through the eyes of his daughter.
Book
Several cases illustrating the complicated relations between mathematicians and wars in the 19th and 20th centuries are presented in the book.
Article
Full-text available
The paper is devoted to Poincaré’s work in probability. The starting point for the discussion is Poincaré’s intervention in the Dreyfus Affair. Although works on probability do not represent a large part of the mathematician’s achievements, they provide significant insight into the evolution of Poincaré’s thought on several important matters, such...
Article
Full-text available
This paper is devoted to Poincar\'e'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 Poincar\'e's thought on several important matters such as the changes in physics implied by statistical mechan- ics and molecular theories. After hav...
Article
Full-text available
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 Statistical Institute of Paris University, (ISUP) in 1922 and above all the Henri Poincaré Institute (IHP...
Article
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 Statistical Institute of Paris University, (ISUP) in 1922 and above all the Henri Poincaré Institute (IHP)...
Article
Full-text available
Argument The Germans occupying Paris arrested Emile Borel and three other members of the Académie des Sciences in October 1941 and released them about five weeks later. Drawing on German and French archives and other sources, we argue that these events illustrate the complexity of the motivations and tactics of the occupiers and the occupied. While...
Article
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Dans cet article, on suit l'étonnante trajectoire de Kyrille Popoff (1880-1966), un astronome et mathématicien bulgare qui se spécialisa en balistique au cours de la Première Guerre mondiale et fut invité dans les années 1920 à donner des cours sur le sujet à la Sorbonne. Le tableau est complété par une description du contexte bulgare dans les anné...
Article
In this paper, we revisit the origins of Emile Borel's developing interest in probability around 1905. This resulted from new findings in his research on continued fraction, but it also cannot be separated from the discovery of new applications for the mathematics of randomness (such as biology or economics) and of their importance as a life-changi...
Article
Full-text available
In this paper, we study the influence of a paper by Vito Volterra on Borel's interest for probability. We try to prove that the reading of this article was for Borel an occasion of discovering new applications for the mathematics of randomness (such as biology or economics) and of measuring their importance as a tool provided to the citizen in orde...
Article
Full-text available
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...
Article
Joseph Pérès (1890–1962) was a singular case among the French mathematicians who have experienced the troubled years of WW1. For almost every young man of his generation, the war became a key moment whose consequences have influenced them during their whole life. The war had been fatal for Gateaux. It left its permanent mark on Julia, horribly woun...
Article
When the First World War broke out in 1914, Italy decided to remain neutral. Italy entered the war only on 24 May 1915, and the aim of the present section is to explain what happened in Italy in the interval.
Article
In 1914, when the First World War broke out, Volterra was Senator – he was elected in 1905 – and was one of the more influential Italian scholars. He had published important works in several fields of mathematics and physics. He had introduced the fundamental idea of functional, and proved fundamental results in functional analysis. Volterra had al...
Article
In this introductory section, we wish to present a quick and parallel picture of the situation in both countries just before the war broke out.
Article
A central figure of French propaganda in Italy during the war was the historian Julien Luchaire (1876–1962). He was a professor of Italian literature at the University of Grenoble and a prominent specialist of the Italian Renaissance. He wrote his memoirs, Confessions d’un françcais moyen [37]. The book gives an exceptional insight of this period i...
Article
This book is obviously not the place to give a full portrait of Volterra and his French colleagues. They are too huge and complex scientific personalities for that. The collected works of each of them have been published in [8,27,47] and [57]. Information about their lives can be gathered from various sources, such as the numerous obituaries which...
Article
As seen from a letter sent by Hada mard to Volterra on 3 April 1916, there was then an urgent need of propaganda directed towards the American Jews to convince them to relinquish their pro-German feelings. The reaction of the Jewish communities in World War 1 is a not so widely known question, though it has been studied by several authors.
Article
Full-text available
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 Poincar\'e In...
Article
Full-text available
In the present paper, we consider how Paul Lévy used martingale-type conditions for his studies on sums of dependent random variables during the 1930s. In a second part, we study L’evy’s troubled relationship with Jean-André Ville and his disdain for Ville’s mathematical work.
Article
Full-text available
In the present paper, we study the evolution of the mathematical community in Brno (Br\"unn 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.
Chapter
J'ai étée très sensible à votre souvenir que m'a transmis M.Appell . L'attitude de l'Italie est une des raisons objectives que nous avons de penser que nous défendons la cause de la civilisation, de la liberté et du droit, ce qui nous donnera la force de lutter jusqu'au bout, sans nous laisser abattre par aucune épreuve, car le temps assurera forcé...
Chapter
Between 28 and 30 September 1973, an important conference was held at the university of Grenoble (France) under the title France and Italy during World War 1. The proceedings of the conference were subsequently published by Grenoble University Press in [25]. The conference gathered important contributions about many aspects of the Franco-Italian re...
Chapter
As was seen in ♥ 9, the French propaganda during the war often used the various means of cultural exchanges between the two countries. These exchanges expanded rapidly during the decade immediately preceding the war. The desire was to act on several sectors of cultural and academic life: travels of professors and students, journals based on the coo...
Article
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http://www.emis.de/journals/JEHPS/index-2.html
Article
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The German forces occupying Paris arrested Emile Borel and three other members of the Acad\'emie 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 w...
Article
Taking the specific case of coagulation factor VIII assay, we determined the characteristics of an internal quality control panel assuring control of the assay method for all of the critical factor VIII concentrations. The precision of the assay method was determined on six control materials C1-C6, with expected factor VIII levels of 1, 5, 30, 50,...
Article
Full-text available
The present paper deals with the life and some aspects of the scientific contributions of the mathematician Ren\'e 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 spac...
Article
We present the letters sent by Wolfgang Doeblin to Bohuslav Hostinský between 1936 and 1938. They concern some aspects of the general theory of Markov chains and the solutions of the Chapman-Kolmogorov equation that Doeblin was then establishing for his PhD thesis.
Article
Full-text available
In this paper, we are interested in the teaching of probability theory in Prague and Czechoslovakia, in particular during the 1930's. We focus specially on a textbook, published in Prague by Karel Rychlik in 1938, which uses Kolmogorov's axiomatization, a very exceptional fact before World War II.
Article
Full-text available
In this note, we consider an optimal control problem associated to a differential equation driven by a H\"{o}lder 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 o...
Article
Full-text available
In this paper, we deal with the realizations of the French movie director Eric Rohmer and try to uncover traces of his interest for a computable randomness, in particular through the recurrent evocation in his movies of the mathematical probability theory.Laurent Mazliak, maître de conférences au Laboratoire de Probabilités et Modèles aléatoires et...
Article
Full-text available
We consider the problem of estimating the common survival function S 0 of \(\bar N\) independent objects. The successive failure times of the objects can be observed during a given time interval [0,T]. In order to get information more quickly, the observer has the freedom to shorten the life duration of the observed objects by applying a predictabl...
Article
In this paper, we prove a multidimensional extension of the so-called Bipolar Theorem proved in Brannath and Schachermayer (Séminaire de Probabilités, vol. XXX, 1999, p. 349), which says that the bipolar of a convex set of positive random variables is equal to its closed, solid convex hull. This result may be seen as an extension of the classical s...
Article
We prove that, given a closed set K and a controlled diffusion Xx,u, if, for all x[set membership, variant]K, there exists a control u such that the probability for Xx,u to stay some time in K is strictly positive, then K is viable for Xx,u.

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