5 papers
The intersection dual of geodesic currents
DÃdac MartÃnez-Granado, Dylan P. Thurston
Geodesic currents on closed hyperbolic surfaces are measures on the unit tangent bundle invariant under geodesic flow and orientation reversal. Every geodesic current induces a dua…
Models of random spanning trees
Eric Babson, Moon Duchin, Annina Iseli +3
There are numerous randomized algorithms to generate spanning trees in a given ambient graph; several target the uniform distribution on trees (UST), while in practice the fastest…
Ahlfors-regular conformal dimension and energies of graph maps
Kevin M. Pilgrim, Dylan P. Thurston
For a hyperbolic rational map with connected Julia set, we give upper and lower bounds on the Ahlfors-regular conformal dimension of its Julia set from a family of energi…
Towards the quantum exceptional series
Kim Morrison, Noah Snyder, Dylan P. Thurston
We find a single two-parameter skein relation on trivalent graphs, the quantum exceptional relation, that specializes to a skein relation associated to each exceptional Lie algebra…
From curves to currents
DÃdac MartÃnez-Granado, Dylan P. Thurston
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to…