5 citations · 9 across the 11 of their papers we have counts for
4 papers · 1 filter
Formal Languages and TQFTs with Defects
Luisa Boateng, Matilde Marcolli
A construction that assigns a Boolean 1D TQFT with defects to a finite state automaton was recently developed by Gustafson, Im, Kaldawy, Khovanov, and Lihn. We show that the constr…
Wormhole Renormalization: The gravitational path integral, holography, and a gauge group for topology change
Elliott Gesteau, Matilde Marcolli, Jacob McNamara
We study the Factorization Paradox from the bottom up by adapting methods from perturbative renormalization. Just as quantum field theories are plagued with loop divergences that n…
Formal languages, spin systems, and quasicrystals
Francesca Fernandes, Matilde Marcolli
We present a categorical formalism for context-free languages with morphisms given by correspondences obtained from rational transductions. We show that D0L-systems are a special c…
Spectral action and heat kernel trace for Ricci flat manifolds from stochastic flow over second quantized -differential forms
Sita Gakkhar, Matilde Marcolli
A quantum stochastic differential equation (qsde) on Fock space over differential 1-forms is given from the small "time" flow of which the trace of the connection Laplacian h…