Karine Beauchard
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Karine Beauchard
Karine Beauchard (born 27 November 1978) is a French mathematician known for her research in control theory. She is a University Professor at the École normale supérieure de Rennes, and was the Peccot Lecturer of the Collège de France for 2007–2008. Education and career From 1999 to 2003, Beauchard studied at the École normale supérieure Cachan. She earned her ''agrégation'' in 2002 and a Master of Advanced Studies in numerical analysis in 2003 through Pierre and Marie Curie University. She completed a doctorate in 2005 at the University of Paris-Sud; her dissertation, ''Contribution à l'étude de la contrôlabilité et la stabilisation de l'équation de Schrödinger'', was directed by Jean-Michel Coron. She earned a habilitation in 2010 at Cachan, with a habilitation thesis on ''Analyse et contrôle de quelques équations aux dérivées partielles''. She worked at Cachan from 2005 to 2006, and as a chargée de recherche at CNRS from 2006 until 2014, when she took her ...
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Control Theory
Control theory is a field of mathematics that deals with the control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any ''delay'', ''overshoot'', or ''steady-state error'' and ensuring a level of control stability; often with the aim to achieve a degree of optimality. To do this, a controller with the requisite corrective behavior is required. This controller monitors the controlled process variable (PV), and compares it with the reference or set point (SP). The difference between actual and desired value of the process variable, called the ''error'' signal, or SP-PV error, is applied as feedback to generate a control action to bring the controlled process variable to the same value as the set point. Other aspects which are also studied are controllability and observability. Control theory is used in control system eng ...
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Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfer o ...
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Women Mathematicians
A woman is an adult female human. Prior to adulthood, a female human is referred to as a girl (a female child or adolescent). The plural ''women'' is sometimes used in certain phrases such as "women's rights" to denote female humans regardless of age. Typically, women inherit a pair of X chromosomes, one from each parent, and are capable of pregnancy and giving birth from puberty until menopause. More generally, sex differentiation of the female fetus is governed by the lack of a present, or functioning, SRY-gene on either one of the respective sex chromosomes. Female anatomy is distinguished from male anatomy by the female reproductive system, which includes the ovaries, fallopian tubes, uterus, vagina, and vulva. A fully developed woman generally has a wider pelvis, broader hips, and larger breasts than an adult man. Women have significantly less facial and other body hair, have a higher body fat composition, and are on average shorter and less muscular than men. Througho ...
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Institut Universitaire De France
The Institut Universitaire de France (IUF, Academic Institute of France), is a service of the French Ministry of Higher Education that distinguishes each year a small number of university professors for their research excellence, as evidenced by their international recognition. It was created to become a new "Collège de France", located in French universities. Only 2% of French university professors have been currently distinguished by the Institut Universitaire de France. Organization The Institute was created by decree on 26 of August, 1991. It is an organization without walls, whose members remain in their own universities. At least two thirds of the members of the IUF belong to universities outside Paris. The purpose of the IUF is to give full freedom to its members to pursue and disseminate their research. About 2% of total French faculties are members (active or honorary) of the IUF. Each year a symposium brings together members of the IUF in order to allow exchanges at the ...
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French Academy Of Sciences
The French Academy of Sciences (French: ''Académie des sciences'') is a learned society, founded in 1666 by Louis XIV of France, Louis XIV at the suggestion of Jean-Baptiste Colbert, to encourage and protect the spirit of French Scientific method, scientific research. It was at the forefront of scientific developments in Europe in the 17th and 18th centuries, and is one of the earliest Academy of Sciences, Academies of Sciences. Currently headed by Patrick Flandrin (President of the Academy), it is one of the five Academies of the Institut de France. History The Academy of Sciences traces its origin to Colbert's plan to create a general academy. He chose a small group of scholars who met on 22 December 1666 in the King's library, near the present-day Bibliothèque nationale de France, Bibliothèque Nationals, and thereafter held twice-weekly working meetings there in the two rooms assigned to the group. The first 30 years of the Academy's existence were relatively informal ...
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Schrödinger Equation
The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. It is a key result in quantum mechanics, and its discovery was a significant landmark in the development of the subject. The equation is named after Erwin Schrödinger, who postulated the equation in 1925, and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933. Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics. Given a set of known initial conditions, Newton's second law makes a mathematical prediction as to what path a given physical system will take over time. The Schrödinger equation gives the evolution over time of a wave function, the quantum-mechanical characterization of an isolated physical system. The equation can be derived from the fact that the time-evolution operator must be unitary, and must therefore be generated by t ...
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CNRS
The French National Centre for Scientific Research (french: link=no, Centre national de la recherche scientifique, CNRS) is the French state research organisation and is the largest fundamental science agency in Europe. In 2016, it employed 31,637 staff, including 11,137 tenured researchers, 13,415 engineers and technical staff, and 7,085 contractual workers. It is headquartered in Paris and has administrative offices in Brussels, Beijing, Tokyo, Singapore, Washington, D.C., Bonn, Moscow, Tunis, Johannesburg, Santiago de Chile, Israel, and New Delhi. From 2009 to 2016, the CNRS was ranked No. 1 worldwide by the SCImago Institutions Rankings (SIR), an international ranking of research-focused institutions, including universities, national research centers, and companies such as Facebook or Google. The CNRS ranked No. 2 between 2017 and 2021, then No. 3 in 2022 in the same SIR, after the Chinese Academy of Sciences and before universities such as Harvard University, MIT, or Stanford ...
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Jean-Michel Coron
Jean-Michel Coron (born August 8, 1956) is a French people, French mathematician. He first studied at École Polytechnique, where he worked on his PhD thesis advised by Haïm Brezis. Since 1992, he has studied the control theory of partial differential equations, and which includes both control and stabilization. His results concern partial differential equations related to fluid dynamics, with emphasis on nonlinear phenomena, and part of them found applications to control channels. He had previously worked in the field of non-linear functional analysis, where he also obtained significant results. Jean-Michel Coron was awarded numerous prizes, like the Fermat Prize, Fermat prize in 1993, the Jaffé prize in 1995 by the French Academy of Sciences, Académie des Sciences, and the Dargelos prize in 2002. He was invited at the 1990 International Congress of Mathematicians (Kyoto) in the section Partial Differential Equations, and he was also invited as a plenary speaker at the 20 ...
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École Normale Supérieure De Rennes
The École normale supérieure de Rennes, also called ENS Rennes is a French scientific ''grande école'', belonging to the network of '' écoles normales supérieures'' established according to the model of the École normale supérieure in Paris. Like its sister universities, its mandate lies in training students with a view to careers in academia, engineering and government. Established by a decree of the 17 October 2013 of the Prime Minister, the ENS Rennes is placed under the direct authority of the Ministry of Higher Education and Research, and is a founder of the European University of Brittany. Before 2013, it was a branch of the École normale supérieure de Paris-Saclay, but the great geographical distance between Cachan and Rennes gradually led to its being granted a greater level of autonomy. The school is divided into five departments, which have a yearly intake of eighty to 100 ''normaliens'', i. e. students who are granted the status of paid civil servants. Like ...
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University Of Paris-Sud
Paris-Sud University (French: ''Université Paris-Sud''), also known as University of Paris — XI (or as Université d'Orsay before 1971), was a French research university distributed among several campuses in the southern suburbs of Paris, including Orsay, Cachan, Châtenay-Malabry, Sceaux, and Kremlin-Bicêtre campuses. The main campus was located in Orsay. Starting from 2020, University Paris Sud has been replaced by the University of Paris-Saclay in The League of European Research Universities (LERU). Paris-Sud was one of the largest and most prestigious universities in France, particularly in science and mathematics. The university was ranked 1st in France, 9th in Europe and 37th worldwide by 2019 Academic Ranking of World Universities (ARWU) in particular it was ranked as 1st in Europe for physics and 2nd in Europe for mathematics. Five Fields Medalists and two Nobel Prize Winners have been affiliated to the university. On 16 January 2019, Alain Sarfati was electe ...
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