19 citations · 64 across the 18 of their papers we have counts for
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Bell polynomials and Brownian bridge in Spectral Gravity models on multifractal Robertson-Walker cosmologies
Farzad Fathizadeh, Yeorgia Kafkoulis, Matilde Marcolli
We obtain an explicit formula for the full expansion of the spectral action on Robertson-Walker spacetimes, expressed in terms of Bell polynomials, using Brownian bridge integrals…
Motives and periods in Bianchi IX gravity models
Wentao Fan, Farzad Fathizadeh, Matilde Marcolli
We show that, when considering the anisotropic scaling factors and their derivatives as affine variables, the coefficients of the heat kernel expansion of the Dirac-Laplacian on $S…
Periods and motives in the spectral action of Robertson-Walker spacetimes
Farzad Fathizadeh, Matilde Marcolli
We show that, when considering the scaling factor as an affine variable, the coefficients of the asymptotic expansion of the spectral action on a (Euclidean) Robertson-Walker space…
Rationality of Spectral Action for Robertson-Walker Metrics
Farzad Fathizadeh, Asghar Ghorbanpour, Masoud Khalkhali
We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic sc…