Scholarly Works  Pure Mathematics and Mathematical Statistics
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Coupling the Gaussian Free Fields with Free and with Zero Boundary Conditions via Common Level Lines
(Springer Nature, 20180701)We point out a new simple way to couple the Gaussian free field (GFF) with free boundary conditions in a twodimensional domain with the GFF with zero boundary conditions in the same domain: Starting from the latter, one ... 
Computing JSJ decompositions of hyperbolic groups
We present an algorithm that computes Bowditch's canonical JSJ decomposition of a given oneended hyperbolic group over its virtually cyclic subgroups. The algorithm works by identifying topological features in the boundary ...