3 papers
math.PR2026
Quasisymmetric rigidity of the Brownian sphere
Jason Miller, Yi Tian
The Brownian sphere, also known as the Brownian map, is a canonical random metric measure space homeomorphic to the two-dimensional sphere . It can be interpreted as t…
math.PR2026
The conformal dimension of the Brownian tree is one
Jason Miller, Yi Tian
The Brownian tree, also known as the continuum random tree, is a canonical random compact, geodesic -tree that arises as the universal scaling limit for numerous models…
math.PR2026
The conformal dimension of the Brownian sphere is two
Jason Miller, Yi Tian
The conformal dimension of a metric space is equal to the infimum of the Hausdorff dimensions among all metric spaces quasisymmetric to . It is an important quasis…