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A master equation for power laws.
We propose a new mechanism for generating power laws. Starting from a random walk, we first outline a simple derivation of the Fokker-Planck equation. By analogy, starting from a certain Markov chain, we derive a master equation...
Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Mark Walley
Jan 06, 2012
Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Published by: Memorial University of Newfoundland
Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Mark Walley
Jan 06, 2012
Review of Francesco Pelosi's Plato on Music, Soul and Body (trans. Sophie Henderson)
Published by: Memorial University of Newfoundland
Travel, Expertise and Readers
Guido G Beduschi
Apr 14, 2021
This article analyses Francesco Ottieri’s historical work, his authority as historian, and his book’s eighteenth-century readers. During the seventeenth century, books concerning recent events and early newspapers informed an...
Travel, Expertise and Readers
Guido G. Beduschi
Aug 11, 2021
Abstract: This article analyses Francesco Ottieri's historical work, his authority as historian, and his book's eighteenth‐century readers. During the seventeenth century, books concerning recent events and early newspapers...
Published by: History
Substrate recognition determinants of human eIF2α phosphatases.
Phosphorylation of the translation initiation factor eIF2α is a rapid and vital cellular defence against many forms of stress. In mammals, the levels of eIF2α phosphorylation are set through the antagonistic action of four...
Stationary states of quadratic diffusion equations with long-range attraction
We study the existence and uniqueness of nontrivial stationary solutions to a nonlocal aggregation equation with quadratic diffusion arising in many contexts in
population dynamics. The equation is the Wasserstein gradient...
population dynamics. The equation is the Wasserstein gradient...
Substrate recognition determinants of human eIF2α phosphatases.
Phosphorylation of the translation initiation factor eIF2α is a rapid and vital cellular defence against many forms of stress. In mammals, the levels of eIF2α phosphorylation are set through the antagonistic action of four...
Fully parabolic Keller-Segel model for chemotaxis with prevention of overcrowding
In this paper we study a fully parabolic version of the Keller-Segel system in the presence of a volume filling effect which prevents blow-up of the L norm. This effect is sometimes referred to as prevention of overcrowding. As...
Coherent backscattering of light by an anisotropic biological network.
Gianni Jacucci, Olimpia D Onelli, Antonio De Luca, Jacopo Bertolotti, Riccardo Sapienza, Silvia Vignolini
Jan 07, 2019
The scattering strength of a random medium relies on the geometry and spatial distribution of its components as well as on their refractive index. Anisotropy can, therefore, play a major role in the optimization of the...
Use of standard analytical tools to detect small amounts of smalt in the presence of ultramarine as observed in 15th-century Venetian illuminated manuscripts
P Ricciardi, KA Dooley, D MacLennan, G Bertolotti, F Gabrieli, CS Patterson, JK Delaney
Mar 21, 2022
Large time behavior of nonlocal aggregation models with nonlinear diffusion
The aim of this paper is to establish rigorous results on the large time behavior of nonlocal models for aggregation, including the possible presence of nonlinear diffusion terms modeling local repulsions. We show that, as...
Substrate recognition determinants of human eIF2α phosphatases
Phosphorylation of the translation initiation factor eIF2α is a rapid and vital cellular defence against many forms of stress. In mammals, the levels of eIF2α phosphorylation are set through the antagonistic action of four...
Substrate recognition determinants of human eIF2α phosphatases
Phosphorylation of the translation initiation factor eIF2α is a rapid and vital cellular defence against many forms of stress. In mammals, the levels of eIF2α phosphorylation are set through the antagonistic action of four...
The one-dimensional Hughes model for pedestrian flow
This paper deals with a coupled system consisting of a scalar conservation law and an eikonal equation, called the Hughes model. Introduced in [24], this model attempts to describe the motion of pedestrians in a densely crowded...
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion
We study a system arising in the modelling of the motion of swimming bacteria under the effect of diffusion, oxygen-taxis and transport through an incompressible fluid. The novelty with respect to previous papers in the...
Large time behavior in Wasserstein spaces and relative entropy for bipolar drift-diffusion-Poisson models
We prove asymptotic stability results for nonlinear bipolar drift-diffusion-Poisson Systems arising in semiconductor device modeling and plasma physics in one space dimension. In particular, we prove that, under certain...
On the Hughes' model for pedestrian flow
In this paper we investigate the mathematical theory of Hughes' model for the flow of pedestrians (cf. Hughes (2002) [17]), consisting of a non-linear conservation law for the density of pedestrians coupled with an eikonal...
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
We consider a nonlinear degenerate convection-diffusion equation with inhomogeneous convection and prove that its entropy solutions in the sense of Kruzkov are obtained as the - a posteriori unique - limit points of the JKO...
Stationary states of quadratic diffusion equations with long-range attraction
We study the existence and uniqueness of nontrivial stationary solutions to a nonlocal aggregation equation with quadratic diffusion arising in many contexts in
population dynamics. The equation is the Wasserstein gradient...
population dynamics. The equation is the Wasserstein gradient...
Asymptotic stability of constant steady states for a 2 2 reaction-diffusion system arising in cancer modelling
The dependence of tumor on essential nutrients is known to be crucial for its evolution and has become one of the targets for medical therapies. Based on this fact a reaction-diffusion system with chemotaxis term and...
Asymptotic stability of constant steady states for a 2 2 reaction-diffusion system arising in cancer modelling
The dependence of tumor on essential nutrients is known to be crucial for its evolution and has become one of the targets for medical therapies. Based on this fact a reaction-diffusion system with chemotaxis term and...
Curves of steepest descent are entropy solutions for a class of degenerate convection-diffusion equations
We consider a nonlinear degenerate convection-diffusion equation with inhomogeneous convection and prove that its entropy solutions in the sense of Kruzkov are obtained as the - a posteriori unique - limit points of the JKO...
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