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math.PR2023
A new proof of the expansion of iterated Ito stochastic integrals with respect to the components of a multidimensional Wiener process based on generalized multiple Fourier series and Hermite polynomials
Dmitriy F. Kuznetsov
The article is devoted to a new proof of the expansion for iterated Ito stochastic integrals with respect to the components of a multidimensional Wiener process. The above expansio…
gr-qc2023
Inflation in simple one-loop effective potentials of perturbative quantum gravity
A. Arbuzov, D. Kuznetsov, B. Latosh +1
We study inflation in scalar-tensor perturbative quantum gravity driven by a one-loop effective potential. We consider effective potentials generated by three models. The first mod…