Mathematics · Probability Theory
A topic within Probability Theory, itself one of 12 topics in that field and part of Mathematics.
2 works
Edward Nelson
Argues Brownian motion can be derived from an underlying stochastic mechanics rather than merely postulated, reconstructing it from a Newtonian model of a particle buffeted by random impacts.
link checked 17 Sept 2026Peter Mörters & Yuval Peres
Argues Brownian motion is best understood through the geometric properties of its sample paths — their Hölder continuity, non-differentiability and Hausdorff dimension — rather than through its transition densities alone.
link checked 17 Sept 2026