3 papers
math.PR2026
Bakry-Emery Curvature of the Fractional Laplacian via Fractional Brownian Covariance
Ramiro Fontes
We study Bakry-Emery curvature for fractional Laplacian generators using a Fourier representation of the carré du champ operator. For the stable generator of order gamma, the asso…
math.PR2026
Stochastic Calculus as Operator Factorization An Operator-Covariant Derivative and Unified Representation
Ramiro Fontes
We present a unified operator-theoretic framework for stochastic calculus based on the factorization (Id - E)F = δ_X Î _X D_X F, valid for F_T^X-measurable F in L^2(Ω) when the d…
math.PR2026
Stochastic Calculus for Rough Fractional Brownian Motion via Operator Factorization
Ramiro Fontes
We develop an operator-theoretic formulation of stochastic calculus for fractional Brownian motion with Hurst parameter H in (0, 1/2). The approach is based on adjointness between…