Why we should use topological data analysis in ageing: towards defining the “topological shape of ageing”

T Fülöp, M Desroches, AA Cohen, FAN Santos… - Mechanisms of Ageing …, 2020 - Elsevier
Living systems are subject to the arrow of time; from birth, they undergo complex
transformations (self-organization) in a constant battle for survival, but inevitably ageing and …

On well-posedness for general hierarchy equations of Gross–Pitaevskii and Hartree type

Z Ammari, Q Liard, C Rouffort - Archive for Rational Mechanics and …, 2020 - Springer
Abstract Gross–Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs
emerging naturally from the mean field theory of Bose gases. Their solutions are known to …

Propagation of chaos for many-boson systems in one dimension with a point pair-interaction

Z Ammari, S Breteaux - Asymptotic Analysis, 2012 - content.iospress.com
We study the mean field limit of nonrelativistic quantum many-boson systems with delta
potential in one-dimensional space. Such problem is related to the semiclassical limit of a …

Observed quantum particles system with graphon interaction

S Chalal, NH Amini, G Guo, H Amini - arXiv preprint arXiv:2405.07389, 2024 - arxiv.org
In this paper, we consider a system of heterogeneously interacting quantum particles subject
to indirect continuous measurement. The interaction is assumed to be of the mean-field type …

On well-posedness and uniqueness for general hierarchy equations of Gross-Pitaevskii and Hartree type

Z Ammari, Q Liard, C Rouffort - arXiv preprint arXiv:1802.09041, 2018 - arxiv.org
Gross-Pitaevskii and Hartree hierarchies are infinite systems of coupled PDEs emerging
naturally from the mean field theory of Bose gases. Their solutions are known to be related …

[PDF][PDF] Why we should use Topological Data Analysis in Ageing: towards defining the “Topological shape of ageing” Tamàs Fülöp1, Mathieu Desroches2, 3, Alan A …

S Rodrigues - core.ac.uk
Living systems are subject to the arrow of time; from birth, they undergo complex
transformations (self-organization) in a constant battle for survival, but inevitably ageing and …

Classical and Quantum Kac's Chaos

R Musulin - 2018 - scholarcommons.sc.edu
Abstract In 1956 Kac studied the Boltzmann equation, an integro-differential equation which
describes the density function of the distribution of the velocities of the molecules of dilute …

A connection between mixing and Kac's chaos

G Androulakis, R Musulin - Dynamical Systems, 2019 - Taylor & Francis
The Boltzmann equation is an integro-differential equation which describes the density
function of the distribution of the velocities of the molecules of dilute monoatomic gases …

[PDF][PDF] ЕВОЛЮЦIЙНI РIВНЯННЯ СИСТЕМ БАГАТЬОХ ЧАСТИНОК ТА ЇХ ЗАСТОСУВАННЯ ДО ОПИСУ КIНЕТИЧНИХ ПРОЦЕСIВ

М освiти i науки України, ЮЮ ФЕДЧУН - imath.kiev.ua
РОЗДIЛ 4 Границя самоузгодженого поля iєрархiй еволюцiйних рiвнянь для активної
м'якої речовини 74 4.1. Границя самоузгодженого поля для розв'язку дуальної iєрархiї …

[PDF][PDF] Sébastien Breteaux

QFT Approche - 2011 - Citeseer
Je tiens évidemment à remercier en premier lieu Francis Nier, mon directeur de thèse. Son
encadrement attentif et régulier et son soin à me donner une vue d'ensemble de mon travail …