Marie-Claude Arnaud
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Marie-Claude Arnaud
Marie-Claude Arnaud-Delabrière (born 24 February 1963) is a French mathematician, specializing in dynamical systems. She is University Professor of Mathematics at the University of Avignon and a senior member of the Institut Universitaire de France. Education and career Arnaud was a mathematics student at the École normale supérieure (Paris) from 1983 to 1987; she earned a bachelor's degree in 1984, an agrégation in 1985, and a diplôme d'études approfondies in 1986. She earned her doctorate in 1990 from Paris Diderot University under the supervision of Michael Herman, and completed a habilitation in 1999 at Paris-Sud University. After working as an assistant at Louis Pasteur University from 1987 to 1989, and then as a temporary researcher at Paris Diderot University from 1989 to 1991, she became an assistant professor at Paris Diderot University in 1991. In 2001 she moved to Avignon as a full professor. Recognition In 2010, Arnaud was a speaker at the International Congre ...
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Dynamical System
In mathematics, a dynamical system is a system in which a Function (mathematics), function describes the time dependence of a Point (geometry), point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, fluid dynamics, the flow of water in a pipe, the Brownian motion, random motion of particles in the air, and population dynamics, the number of fish each springtime in a lake. The most general definition unifies several concepts in mathematics such as ordinary differential equations and ergodic theory by allowing different choices of the space and how time is measured. Time can be measured by integers, by real number, real or complex numbers or can be a more general algebraic object, losing the memory of its physical origin, and the space may be a manifold or simply a Set (mathematics), set, without the need of a Differentiability, smooth space-time structure defined on it. At any given time, a dynamical system has a State ...
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