Alternative probabilistic representations of Barenblatt-type solutions

Autor: Alessandro De Gregorio, Roberto Garra

Publikováno v: Modern Stochastics: Theory and Applications, Vol 7, Iss 1, Pp 97-112 (2020)

A general class of probability density functions \[ u(x,t)=C{t^{-\alpha d}}{\left(1-{\left(\frac{\| x\| }{c{t^{\alpha }}}\right)^{\beta }}\right)_{+}^{\gamma }},\hspace{1em}x\in {\mathbb{R}^{d}},t>0,\] is considered, containing as particular case the

Externí odkaz: https://doaj.org/article/255d5b5652fd4a17ad8b707a3bb4ead8

Hadamard-Type Fractional Heat Equations and Ultra-Slow Diffusions

Autor: Alessandro De Gregorio, Roberto Garra

Publikováno v: Fractal and Fractional, Vol 5, Iss 2, p 48 (2021)

In this paper, we study diffusion equations involving Hadamard-type time-fractional derivatives related to ultra-slow random models. We start our analysis using the abstract fractional Cauchy problem, replacing the classical time derivative with the

Externí odkaz: https://doaj.org/article/ed5e60b0e692452b8bfd8de58d4ebd57

Hadamard-Type Fractional Heat Equations and Ultra-Slow Diffusions

Autor: Roberto Garra, Alessandro De Gregorio

Publikováno v: Fractal and Fractional, Vol 5, Iss 48, p 48 (2021)
Fractal and Fractional
Volume 5
Issue 2

In this paper, we study diffusion equations involving Hadamard-type time-fractional derivatives related to ultra-slow random models. We start our analysis using the abstract fractional Cauchy problem, replacing the classical time derivative with the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c59457a41977214d99df75534656e47
https://www.mdpi.com/2504-3110/5/2/48

Homological scaffold via minimal homology bases

Autor: Alessandro De Gregorio, Giovanni Petri, Francesco Vaccarino, Marco Guerra, Ulderico Fugacci

Publikováno v: Scientific Reports
Scientific reports (Nature Publishing Group) 11 (2021): 5355. doi:10.1038/s41598-021-84486-1
info:cnr-pdr/source/autori:Guerra, Marco; De Gregorio, Alessandro; Fugacci, Ulderico; Petri, Giovanni; Vaccarino, Francesco/titolo:Homological scaffold via minimal homology bases/doi:10.1038%2Fs41598-021-84486-1/rivista:Scientific reports (Nature Publishing Group)/anno:2021/pagina_da:/pagina_a:5355/intervallo_pagine:5355/volume:11
Scientific Reports, Vol 11, Iss 1, Pp 1-17 (2021)

The homological scaffold leverages persistent homology to construct a topologically sound summary of a weighted network. However, its crucial dependency on the choice of representative cycles hinders the ability to trace back global features onto ind

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17b8f2d1b1a98eea5e7798c76a56bcd9
https://doi.org/10.1038/s41598-021-84486-1

Telegraph random evolutions on a circle

Autor: 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 ± c and changing rotation at Poisson random times, resulting in a telegraph process over the circle. We study the analytic p

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::354f12d2ed067f919dc252351ced850a
http://arxiv.org/abs/2011.03025