Michael J. Catanzaro

A higher Boltzmann distribution

AbstractWe characterize the classical Boltzmann distribution as the unique solution to a combinatorial Hodge theory problem in homological degree zero on a finite graph. By substituting for the graph a CW complex X and a choice of degree

Counting the number of excited states in organic semiconductor systems using topology

d \le \dim X

Exciton Scattering via Algebraic Topology

d≤dimX, we define by direct analogy a higher dimensional Boltzmann distribution

Kirchhoff’s theorems in higher dimensions and Reidemeister torsion

\rho ^B

A Topological Study Of Stochastic Dynamics On CW Complexes

ρB as a certain real-valued cellular