activity
20122023
most citedGeneralized Tonnetze

17 citations · 48 across the 16 of their papers we have counts for

collaborators
Showing 2016Show all

5 papers · 1 filter

physics.chem-ph2016★ 7 cited

Excited-State Structure Modifications Due to Molecular Substituents and Exciton Scattering in Conjugated Molecules

Hao Li, Michael J. Catanzaro, Sergei Tretiak +1

Attachment of chemical substituents (such as polar moieties) constitutes an efficient and convenient way to modify physical and chemical properties of conjugated polymers and oligo…

math.AT2016★ 17 cited

Generalized Tonnetze

Michael J. Catanzaro

We study a generalization of the classical Riemannian Tonnetz to N-tone equally tempered scales (for all N) and arbitrary triads. We classify all the spaces that result. The torus…

physics.chem-ph2016★ 4 cited

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

Michael J. Catanzaro, Tian Shi, Sergei Tretiak +1

Exciton Scattering (ES) theory attributes excited electronic states to standing waves in quasi-one-dimensional molecular materials by assuming a quasi-particle picture of optical e…

physics.chem-ph2016★ 2 cited

Stochastic Dynamics of Extended Objects in Driven Systems: I. Higher-Dimensional Currents in the Continuous Setting

Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein

The probability distributions, as well as the mean values of stochastic currents and fluxes, associated with a driven Langevin process, provide a good and topologically protected m…

physics.chem-ph2016★ 1 cited

Stochastic Dynamics of Extended Objects in Driven Systems II: Current Quantization in the Low-Temperature Limit

Michael J. Catanzaro, Vladimir Y. Chernyak, John R. Klein

Driven Langevin processes have appeared in a variety of fields due to the relevance of natural phenomena having both deterministic and stochastic effects. The stochastic currents a…