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20172024
most citedDrifted Brownian motions governed by fractional tempered derivatives

9 citations · 14 across the 7 of their papers we have counts for

collaborators

11 papers

math.ST2024

Adaptive Elastic-Net estimation for sparse diffusion processes

Alessandro De Gregorio, Dario Frisardi, Francesco Iafrate +1

Penalized estimation methods for diffusion processes and dependent data have recently gained significant attention due to their effectiveness in handling high-dimensional stochasti…

cond-mat.stat-mech2024★ 5 cited

Anomalous random flights and time-fractional run-and-tumble equations

Luca Angelani, Alessandro De Gregorio, Roberto Garra +1

Random flights (also called run-and-tumble walks or transport processes) represent finite velocity random motions changing direction at any Poissonian time. These models in d-dimen…

math.PR2022

Some families of random fields related to multiparameter Lévy processes

Francesco Iafrate, Costantino Ricciuti

Let . We here consider a class of random fields which are known as Multiparameter Lévy processes. Related multiparameter…

math.PR2021

Elastic drifted Brownian motions and non-local boundary conditions

Mirko D'Ovidio, Francesco Iafrate

We provide a deep connection between elastic drifted Brownian motions and inverses to tempered subordinators. Based on this connection, we establish a link between multiplicative f…

math.PR2020

Telegraph random evolutions on a circle

Alessandro De Gregorio, Francesco Iafrate

We consider the random evolution described by the motion of a particle moving on a circle alternating the angular velocities and changing rotation at Poisson random times…

math.ST2020

Regularized Bridge-type estimation with multiple penalties

Alessandro De Gregorio, Francesco Iafrate

The aim of this paper is to introduce an adaptive penalized estimator for identifying the true reduced parametric model under the sparsity assumption. In particular, we deal with t…

math.PR2019

On the sojourn time of a Generalized Brownian meander

Francesco Iafrate, Enzo Orsingher

In this paper we study the sojourn time on the positive half-line up to time of a drifted Brownian motion with starting point and subject to the condition that $ \min_{…

math.PR2019

Asymptotic results for the last zero crossing time of a Brownian motion with non-null drift

Francesco Iafrate, Claudio Macci

We consider the last zero crossing time of a Brownian motion, with drift in the time interval . We prove the large deviation principle of $\{T_{μ\sqrt r…

math.PR2018★ 9 cited

Drifted Brownian motions governed by fractional tempered derivatives

Mirko D'Ovidio, Francesco Iafrate, Enzo Orsingher

Fractional equations governing the distribution of reflecting drifted Brownian motions are presented. The equations are expressed in terms of tempered Riemann--Liouville type deriv…

math.PR2018

The last zero crossing of an iterated Brownian motion with drift

Francesco Iafrate, Enzo Orsingher

In this paper we consider the iterated Brownian motion where are two independent Brownian motions with…

math.PR2017

Some results on the Brownian meander with drift

Francesco Iafrate, Enzo Orsingher

In this paper we study the drifted Brownian meander, that is a Brownian motion starting from and subject to the condition that with $ u > v…