We consider a discrete-time Markovian random walk with resets on a connected undirected network. The resets, in which the walker is relocated to randomly chosen nodes, are governed by an independent discrete-time renewal process. Some nodes of the network are target nodes, and we focus on the statistics of first hitting of these nodes. In the non-M...
We determine the full statistics of nonstationary heat transfer in the Kipnis-Marchioro-Presutti lattice gas model at long times by uncovering and exploiting complete integrability of the underlying equations of the macroscopic fluctuation theory. These equations are closely related to the derivative nonlinear Schr\"{o}dinger equation (DNLS), and w...
Over time, the Earth’s climate has undergone significant changes due to a variety of natural processes. During the last century, global warming has drastically increased due to human activities, which has in turn increased the greenhouse gases in the atmosphere causing an increase in global average temperature. Under a changing climate, extreme eve...
In this paper we revisit the notion of grouped dispersal that have been introduced by Soubeyrand and co-authors \cite{soubeyrand2011patchy} to model the simultaneous (and hence dependent) dispersal of several propagules from a single source in a homogeneous environment. We built a time continuous measure valued process that takes into account the m...
Published in Journal of Physics A: Mathematical and Theoretical
Non-Hermitian (NH) systems and the Lindblad form master equation have always been regarded as reliable tools in dissipative modeling. Intriguingly, existing literature often obtains an equivalent NH Hamiltonian by neglecting the quantum jumping terms in the master equation. However, there lacks investigation into the effects of discarded terms as w...
Le cadre sur lequel s'érige cette thèse est assez vaste puisqu'il regroupe un large champ d'études, allant des équations stochastiques aux dérivées partielles à la théorie des matrices et tenseurs aléatoires, dont le point commun est l'analyse des p-variations de processus. L'outil majeur qui a permis son élaboration est le calcul de Malliavin comb...
Published in Seminars in cell & developmental biology
Homeostatic balance in the intestinal epithelium relies on a fast cellular turnover, which is coordinated by an intricate interplay between biochemical signalling, mechanical forces and organ geometry. We review recent modelling approaches that have been developed to understand different facets of this remarkable homeostatic equilibrium. Existing m...
Published in Journal of Statistical Mechanics: Theory and Experiment
Quorum sensing (QS) is a bacterial communication process in which cells detect the local environment and collectively activate gene expression. The transcriptional activator (LuxR) for these genes has a specific allosteric site where the autoinducer (AHL) can bind and turn the activator on. At the single-cell level, the response to gene activation ...
Published in Environmental research
Understanding the community assembly process is a central issue in microbial ecology. In this study, we analyzed the community assembly of particle-associated (PA) and free-living (FL) surface water microbiomes in 54 sites from the headstream to the river mouth of an urban river in Japan, the river basin of which has the highest human population de...
Background: The time between the appearance of successive leaves, or phyllochron, characterizes the vegetative development of annual plants. Hypothesis testing models, which allow the comparison of phyllochrons between genetic groups and/or environmental conditions, are usually based on regression of thermal time on the number of leaves; most of th...
