Between 1905 and 1913, French physicist Jean Perrin's experiments on Brownian motion ostensibly put a definitive end to the long debate regarding the real existence of molecules, proving the atomic theory of matter. While Perrin's results had a significant impact at the time, la…
"Legend has it that Jean Perrin's experiments on Brownian motion between 1905 and 1913 "put a definite end to the long struggle regarding the real existence of molecules." Close examination of these experiments, however, shows how little access they gained to the molecular realm…
"Legend has it that Jean Perrin's experiments on Brownian motion between 1905 and 1913 "put a definite end to the long struggle regarding the real existence of molecules." Close examination of these experiments, however, shows how little access they gained to the molecular realm…
Lays out a vision for a coherent framework for understanding complex systems. By developing the idea of Brownian agents, this work combines concepts from informatics, such as multiagent systems, with approaches of statistical many-particle physics. It also shows that Brownian ag…
Le mouvement brownien est l'objet central du calcul des probabilités modernes : il est à la fois une martingale, un processus gaussien, un processus à accroissements indépendants et un processus de Markov. Présentation de ses propriétés avec les deux outils qu'il permet de dével…