TL;DR
The paper introduces the Brownian map, a fundamental mathematical object that serves as a 2-dimensional analogue of Brownian motion, highlighting its significance and historical development.
Contribution
It provides an overview of the Brownian map, explaining its properties, significance, and historical context in mathematical research.
Findings
The Brownian map is a key object in random geometry.
It generalizes Brownian motion to a 2D setting.
Historical development of the Brownian map is summarized.
Abstract
The "Brownian map" is a fundamental object in mathematics, in some sense a 2-dimensional analogue of Brownian motion. Here we briefly explain this object and a bit of its history.
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Taxonomy
TopicsDiffusion and Search Dynamics · stochastic dynamics and bifurcation · Stochastic processes and financial applications