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math.AT2015
A higher Boltzmann distribution
Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein
We characterize the classical Boltzmann distribution as the unique solution to a certain combinatorial Hodge theory problem in homological degree zero on a finite graph. By substit…
math.AT2015
Exciton Scattering via Algebraic Topology
Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein
This paper introduces an intersection theory problem for maps into a smooth manifold equipped with a stratification. We investigate the problem in the special case when the target…