Wendelin Werner
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Wendelin Werner
Wendelin Werner (born 23 September 1968) is a German-born French mathematician working on random processes such as self-avoiding random walks, Brownian motion, Schramm–Loewner evolution, and related theories in probability theory and mathematical physics. In 2006, at the 25th International Congress of Mathematicians in Madrid, Spain he received the Fields Medal "for his contributions to the development of stochastic Loewner evolution, the geometry of two-dimensional Brownian motion, and conformal field theory". He is professor at ETH Zürich. Biography Werner was born on 23 September 1968 in Cologne, West Germany. His parents moved to France when he was nine months old and he became a French citizen in 1977. After a '' classe préparatoire'' at Lycée Hoche in Versailles, he studied at École Normale Supérieure from 1987 to 1991. His 1993 doctorate was written at the Université Pierre-et-Marie-Curie and supervised by Jean-François Le Gall. Werner was a researcher at the ...
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École Normale Supérieure De Lyon
The École normale supérieure de Lyon (also known as ENS de Lyon, ENSL or Normale Sup' Lyon) is a French grande école located in the city of Lyon. It is one of the four prestigious écoles normales supérieures in France. The school is composed of two academic units— Arts and Sciences— with campuses in Lyon, near the confluence of the Rhône and Saône rivers. ENSL's students usually enjoy a special civil servant status in the wake of highly competitive exams, providing they pursue careers in public service. Although it maintains extensive connections with the University of Lyon and external research institutions, including the CNRS, the school remains independent. History Training teachers for normal schools ''L'École normale supérieure de Lyon'' is the descendant of two top educational institutions founded by Jules Ferry: *''L'École normale supérieure de Fontenay-aux-Roses'', for girls, founded in 1880. *''L'École normale supérieure de Saint-Cloud'', for b ...
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Prix Paul Doistau–Émile Blutet
The Prix Paul Doistau–Émile Blutet is a biennial prize awarded by the French Academy of Sciences in the fields of mathematics and physical sciences since 1954. Each recipient receives 3000 euros. The prize is also awarded quadrennially in biology. The award is also occasionally awarded in other disciplines. List of laureates Mathematics * 1958 Marc Krasner * 1980 Jean-Michel Bony * 1982 Jean-Pierre Ramis * 1982 Gérard Maugin * 1985 Dominique Foata * 1986 Pierre-Louis Lions * 1987 Pierre Bérard * 1987 Lucien Szpiro * 1999 Wendelin Werner * 2001 Hélène Esnault * 2004 Laurent Stolovitch * 2006 Alice Guionnet * 2008 Isabelle Gallagher * 2010 Yves André * 2012 Serge Cantat * 2014 Sébastien Boucksom * 2016 Hajer Bahouri * 2018 Physical sciences * 2002 * 2005 Mustapha Besbes * 2007 * 2009 Hasnaa Chennaoui-Aoudjehane * 2011 Henri-Claude Nataf * 2013 * 2015 Philippe André * 2019 Integrative biology * 2000 Jérôme Giraudat * 2004 Marie-Claire Verdus ...
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Preparatory Classes
Preparatory school or prep school may refer to: Schools *Preparatory school (United Kingdom), an independent school preparing children aged 8–13 for entry into fee-charging independent schools, usually public schools *College-preparatory school, in the United States, a high or secondary school, either private or public, preparing students aged 14–18 for higher education at an elite college or university *''Classe préparatoire aux grandes écoles'', two-years’ intensive higher-education schooling when French students prepare to enter top-level schools (engineering, commerce, research, politics, etc.) via competitive examinations Media * '' Prep School'', a 2015 American coming of age drama film, starring Carly Schroeder. See also *Preschool, an establishment offering early childhood education before primary school * Prepper (other) A prepper engages in survivalism, a movement who actively prepare for emergencies, including possible disruptions in social or politica ...
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Der Bund
''Der Bund'' (English: ''The Union'') is a Swiss German-language daily newspaper published in Bern. Established in 1850 and associated with the cause of liberalism, it was among the leading quality newspapers in Switzerland for much of the 19th and 20th centuries. In economic distress since the 1980s, its circulation has dropped and it has changed ownership several times since then. It is now owned by the Tamedia publishing group. History 19th century The newspaper was founded by Franz Louis Jent, a bookseller from Solothurn and veteran of the ''Freischarenzüge'' the Liberal insurrections of 1844–45 that led to the 1847 Sonderbund War, a Swiss civil war. The newspaper's name, ''Der Bund'', translates as "The Union", but is also shorthand for the Swiss Confederation, the democratic federal state established in 1848 by the Liberal victors of the civil war. The newspaper was first published on 1 October 1850 with a daily circulation (including Sundays) of 1,000, and was ...
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ETH Zürich
(colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , academic_staff = 6,612 (including doctoral students, excluding 527 professors of all ranks, 34% female, 65% foreign nationals) (full-time equivalents 2021) , administrative_staff = 3,106 (40% female, 19% foreign nationals, full-time equivalents 2021) , students = 24,534 (headcount 2021, 33.3% female, 37% foreign nationals) , undergrad = 10,642 , postgrad = 8,299 , doctoral = 4,460 , other = 1,133 , address = Rämistrasse 101CH-8092 ZürichSwitzerland , city = Zürich , coor = , campus = Urban , language = German, English (Masters and upwards, sometimes Bachelor) , affiliations = CESAER, EUA, GlobalTech, IARU, IDEA League, UNITECH , website ethz.ch, colors = Black and White , logo = ETH Zürich Logo black.svg ETH Züric ...
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Spain
, image_flag = Bandera de España.svg , image_coat = Escudo de España (mazonado).svg , national_motto = ''Plus ultra'' (Latin)(English: "Further Beyond") , national_anthem = (English: "Royal March") , image_map = , map_caption = , image_map2 = , capital = Madrid , coordinates = , largest_city = Madrid , languages_type = Official language , languages = Spanish language, Spanish , ethnic_groups = , ethnic_groups_year = , ethnic_groups_ref = , religion = , religion_ref = , religion_year = 2020 , demonym = , government_type = Unitary state, Unitary Parliamentary system, parliamentary constitutional monarchy , leader_title1 = Monarchy of Spain, Monarch , leader_name1 = Felipe VI , leader_title2 = Prime Minister of Spain ...
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Madrid
Madrid ( , ) is the capital and most populous city of Spain. The city has almost 3.4 million inhabitants and a metropolitan area population of approximately 6.7 million. It is the second-largest city in the European Union (EU), and its monocentric metropolitan area is the third-largest in the EU.United Nations Department of Economic and Social AffairWorld Urbanization Prospects (2007 revision), (United Nations, 2008), Table A.12. Data for 2007. The municipality covers geographical area. Madrid lies on the River Manzanares in the central part of the Iberian Peninsula. Capital city of both Spain (almost without interruption since 1561) and the surrounding autonomous community of Madrid (since 1983), it is also the political, economic and cultural centre of the country. The city is situated on an elevated plain about from the closest seaside location. The climate of Madrid features hot summers and cool winters. The Madrid urban agglomeration has the second-large ...
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International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ...
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Mathematical Physics
Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics (also known as physical mathematics). Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. Classical mechanics The rigorous, abstract and advanced reformulation of Newtonian mechanics adopting the Lagrangian mechanics and the Hamiltonian mechanics even in the presence of constraints. Both formulations are embodied in analytical mechanics and lead to understanding the deep interplay of the notions of symmetry (physics), symmetry and conservation law, con ...
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Probability Theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of non-deterministic or uncertain processes or measured quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior. Two major results in probability ...
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Schramm–Loewner Evolution
In probability theory, the Schramm–Loewner evolution with parameter ''κ'', also known as stochastic Loewner evolution (SLE''κ''), is a family of random planar curves that have been proven to be the scaling limit of a variety of two-dimensional lattice models in statistical mechanics. Given a parameter ''κ'' and a domain in the complex plane ''U'', it gives a family of random curves in ''U'', with ''κ'' controlling how much the curve turns. There are two main variants of SLE, ''chordal SLE'' which gives a family of random curves from two fixed boundary points, and ''radial SLE'', which gives a family of random curves from a fixed boundary point to a fixed interior point. These curves are defined to satisfy conformal invariance and a domain Markov property. It was discovered by as a conjectured scaling limit of the planar uniform spanning tree (UST) and the planar loop-erased random walk (LERW) probabilistic processes, and developed by him together with Greg Lawler and Wendel ...
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Brownian Motion
Brownian motion, or pedesis (from grc, πήδησις "leaping"), is the random motion of particles suspended in a medium (a liquid or a gas). This pattern of motion typically consists of random fluctuations in a particle's position inside a fluid sub-domain, followed by a relocation to another sub-domain. Each relocation is followed by more fluctuations within the new closed volume. This pattern describes a fluid at thermal equilibrium, defined by a given temperature. Within such a fluid, there exists no preferential direction of flow (as in transport phenomena). More specifically, the fluid's overall linear and angular momenta remain null over time. The kinetic energies of the molecular Brownian motions, together with those of molecular rotations and vibrations, sum up to the caloric component of a fluid's internal energy (the equipartition theorem). This motion is named after the botanist Robert Brown, who first described the phenomenon in 1827, while looking throu ...
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