4 papers
Nonlinear semigroups with unbounded generators under Carleman linearization
Sitanshu Gakkhar, Ala Shayeghi, David C. Del Rey Fernández
We treat the convergence of Carleman linearization of nonlinear evolutionary equations through the approximation theory of strongly continuous semigroups, by Carleman embedding the…
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…
Quantum diffusion on almost commutative spectral triples and spinor bundles
Sita Gakkhar
Based on the observation that Cacic [10]'s characterization of almost commutative spectral triples as Clifford module bundles can be pushed to endomorphim algebras of Dirac bundles…
Syntactic structures and the general Markov models
Sitanshu Gakkhar, Matilde Marcolli
We study phylogenetic signal present in syntactic information by considering the syntactic structures data from Longobardi (2017b), Collins (2010), Ceolin et al. (2020) and Koopman…