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20142025
most citedGaussian and non-Gaussian processes of zero power variation, and related stochastic calculus

1 citations · 1 across the 5 of their papers we have counts for

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math.PR2025

Forward stochastic integration for adapted processes w.r.t. Riemann-Liouville fractional Brownian motion (Full version)

Paulo Henrique da Costa, Alberto Ohashi, Francesco Russo

This paper provides the time-dependent -martingale representation of the forward stochastic integral where the driving noise is the Riemann-Liouville fractional Brownian motio…

math.PR2024

About semilinear low dimension Bessel PDEs

Alberto Ohashi, Francesco Russo, Alan Teixeira

We prove existence and uniqueness of solutions of a semilinear PDE driven by a Bessel type generator with low dimension . is a local operator, whose drift is t…

math.PR2023

The -norm of the forward stochastic integral w.r.t. Fractional Brownian motion

Alberto Ohashi, Francesco Russo

In this article, we present the exact expression of the -norm of the forward stochastic integral driven by the multi-dimensional fractional Brownian motion with parameter $\fr…

math.PR2023

The isometry of symmetric-Stratonovich integrals w.r.t. Fractional Brownian motion

Alberto Ohashi, Francesco Russo, Frederi Viens

In this work, we present a detailed analysis on the exact expression of the -norm of the symmetric-Stratonovich stochastic integral driven by a multi-dimensional fractional Br…

math.PR2017

Discrete-type approximations for non-Markovian optimal stopping problems: Part I

Dorival Leão, Alberto Ohashi, Francesco Russo

In this paper, we present a discrete-type approximation scheme to solve continuous-time optimal stopping problems based on fully non-Markovian continuous processes adapted to the B…

math.PR2014★ 1 cited

Gaussian and non-Gaussian processes of zero power variation, and related stochastic calculus

Francesco Russo, Frederi Viens

We consider a class of stochastic processes defined by for , where is a square-integr…