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19932026
most citedQuantum ESPRESSO: a modular and open-source software project for quantum simulations of materials

29.3k citations

Showing 2010 · math.PRShow all

15 papers · 2 filters

math.PR2010

Generalized covariation for Banach space valued processes, Itô formula and applications

Cristina Di Girolami, Francesco Russo

This paper discusses a new notion of quadratic variation and covariation for Banach space valued processes (not necessarily semimartingales) and related Itô formula. If $\X$ and $\…

math.PR2010★ 26 cited

Parameters estimation for asymmetric bifurcating autoregressive processes with missing data

Benoîte de Saporta, Anne Gégout-Petit, Laurence Marsalle

We estimate the unknown parameters of an asymmetric bifurcating autoregressive process (BAR) when some of the data are missing. In this aim, we model the observed data by a two-typ…

math.PR2010★ 15 cited

Malliavin-Skorohod calculus and Paley-Wiener integral for covariance singular processes

Ida Kruk, Francesco Russo

We develop a stochastic analysis for a Gaussian process with singular covariance by an intrinsic procedure focusing on several examples such as covariance measure structure pro…

math.PR2010

A probabilistic algorithm approximating solutions of a singular PDE of porous media type

Nadia Belaribi, François Cuvelier, Francesco Russo

The object of this paper is a one-dimensional generalized porous media equation (PDE) with possibly discontinuous coefficient , which is well-posed as an evolution problem in $L…

math.PR2010★ 1 cited

Numerical method for impulse control of Piecewise Deterministic Markov Processes

Benoîte de Saporta, François Dufour

This paper presents a numerical method to calculate the value function for a general discounted impulse control problem for piecewise deterministic Markov processes. Our approach i…

math.PR2010★ 1 cited

Local estimation of the Hurst index of multifractional Brownian motion by Increment Ratio Statistic method

Pierre R. Bertrand, Mehdi Fhima, Arnaud Guillin

We investigate here the Central Limit Theorem of the Increment Ratio Statistic of a multifractional Brownian motion, leading to a CLT for the time varying Hurst index. The proofs a…