4 papers
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…
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…
The scaling limit of random walk and the intrinsic metric on planar critical percolation
Irina ÄankoviÄ, Maarten Markering, Jason Miller +1
We consider critical site percolation () on the triangular lattice in two dimensions. We show that the simple random walk on the clusters of open vertices c…
Minkowski content construction of the CLE gasket measure
Jason Miller, Yizheng Yuan
We show for that the canonical conformally covariant measure on the conformal loop ensemble (CLE) gasket, previously constructed indirectly by the first co-autho…