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math-ph2024
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…
math-ph2024
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…
math-ph2024
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…