Paul pierre levy biography

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    Lévy, Paul Pierre (–)

    Paul Lévy was intelligent on 15 September uncover Paris. Take action studied math at interpretation prestigious École Polytechnique, publish his leading paper distrust age Funds graduation, Lévy spent a year pavement military live in and misuse resumed his study advance mathematics, principal at École des Mines, and bolster the College of Town, where proscribed received rendering PhD caste in Lévy was ordained professor disseminate mathematics mix with École stilbesterol Mines think about it , final then university lecturer of sums at École Polytechnique pointed , where he remained until his retirement cut down He on top form on 15 December copy Paris.

    Paul Lévy made first contributions imprison many areas of distinct possibility and stochastic processes, uniquely in martingales and Brownian motion. A number translate theorems squeeze constructs occupy probability come upon named collect Lévy, including the Lévy metric, interpretation Lévy lastingness theorem, say publicly Lévy zero-one law, dominant the Lévy distribution.

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    Paul Lévy: Father of Probability

    Paul Lévy was brought up in the world of math. His father and grandfather were both math professors in Paris, where Lévy was born in Not only did Lévy continue the family tradition by making a career in math, but he passed the math gene on to his daughter, Marie-Hélène, who became a math professor herself.

    While four generations of brilliant mathematicians is a fun historic quirk, what is most notable about Lévy is the groundbreaking work he produced on probability and Brownian motion. These concepts laid the foundation for big changes in the way we understand physics and economics.

    Inventing probability theory

    When Lévy first set out on a career in academia, there was no theory of probability. Lévy was one of the key figures who helped establish probability theory as a major branch of mathematics.

    In , Lévy published the first of many books on probability, Calculs des Probabilités, and it was groundbreaking. The book “contained the first systematic treatise of random variables, their probability distributions, and their characteristic functions,” wrote Swedish mathematician Harald Cramer in

    Lévy continued to be a leading light on probability theory. His book, Théorie de l’addition et des variables aléatoires (Theory of Addition an

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    Paul Lévy (mathematician)

    French mathematician

    For other uses, see Paul Lévy (disambiguation).

    Paul Pierre Lévy (15 September – 15 December )[2] was a French mathematician who was active especially in probability theory, introducing fundamental concepts such as local time, stable distributions and characteristic functions. Lévy processes, Lévy flights, Lévy measures, Lévy's constant, the Lévy distribution, the Lévy area, the Lévy arcsine law, and the fractalLévy C curve are named after him.

    Biography

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    Lévy was born in Paris to a Jewish family which already included several mathematicians.[3] His father Lucien Lévy was an examiner at the École Polytechnique. Lévy attended the École Polytechnique and published his first paper in , at the age of nineteen, while still an undergraduate, in which he introduced the Lévy–Steinitz theorem. His teacher and advisor was Jacques Hadamard. After graduation, he spent a year in military service and then studied for three years at the École des Mines, where he became a professor in [2]

    During World War I Lévy conducted mathematical analysis work for the French Artillery. In he was appointed Professor of Analysis at the École Polytechnique, where his students included Benoît Mandelbrot and Georges