Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Lorenzo, Bertini"'
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 1, Pp 1-12 (2023)
We analyze the large deviations for a discrete energy Kac-like walk. In particular, we exhibit a path, with probability exponentially small in the number of particles, that looses energy.
Externí odkaz:
https://doaj.org/article/f3e9098f7c774126b7a3bc491b0d6716
Autor:
Paolo Caravelli, Enrico Orsini, Roberto Pedrinelli, Lorenzo Bertini, Enrico Calogero, Mario Marzilli
Publikováno v:
CARDIOLOGIA AMBULATORIALE. 30:174-185
Background. Hypercholesterolemia and inflammation both contribute to the pathogenesis of atherosclerosis and its clinical manifestations. Statins, possessing both lipid-lowering and anti-inflammatory properties, are currently recommended in all ische
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbf29aaa2f2fb333ee2c9d3e676367bd
https://doi.org/10.17473/1971-6818-2021-3-4
https://doi.org/10.17473/1971-6818-2021-3-4
We consider the symmetric exclusion process on the d-dimensional lattice with initial data invariant with respect to space shifts and ergodic. It is then known that as t diverges the distribution of the process at time t converges to a Bernoulli prod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb5fb77903d8a70636d31a7d5be60be5
We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb7b37819a1c2deab6b86aadffde584a
http://hdl.handle.net/11573/1470947
http://hdl.handle.net/11573/1470947
Autor:
Gustavo Posta, Lorenzo Bertini
We consider a gas of independent Brownian particles on a bounded interval in contact with two particle reservoirs at the endpoints. Due to the Brownian nature of the particles, infinitely many particles enter and leave the system in each time interva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82ff0e922c146f9b871d7223b9bdb76c
http://hdl.handle.net/11573/1244778
http://hdl.handle.net/11573/1244778
Publikováno v:
Reviews of Modern Physics. 87:593-636
Stationary non-equilibrium states describe steady flows through macroscopic systems. Although they represent the simplest generalization of equilibrium states, they exhibit a variety of new phenomena. Within a statistical mechanics approach, these st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98edb5573a69d697cd344545bb998b2f
https://doi.org/10.1103/revmodphys.87.593
https://doi.org/10.1103/revmodphys.87.593
We discuss the sharp interface limit of the action functional associated to either the Glauber dynamics for Ising systems with Kac potentials or the Glauber+Kawasaki process. The corresponding limiting functionals, for which we provide explicit formu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::142a5e85305ebf39c4082b6e4f2bc3e6
Publikováno v:
Annales de l'Institut Henri Poincare Physique Theorique
Annales de l'Institut Henri Poincare Physique Theorique, Birkhäuser, 2018, 19 (10), pp.3197-3238. ⟨10.1007/s00023-018-0705-3⟩
Annales de l'Institut Henri Poincare Physique Theorique, Birkhäuser, 2018, 19 (10), pp.3197-3238. ⟨10.1007/s00023-018-0705-3⟩
We consider an irreducible continuous time Markov chain on a finite state space and with time periodic jump rates and prove the joint large deviation principle for the empirical measure and flow and the joint large deviation principle for the empiric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4eb8efceeddd611f661e4222f931db0b
http://hdl.handle.net/11573/1162346
http://hdl.handle.net/11573/1162346
Autor:
Lorenzo Bertini, Marcello Ponsiglione
Publikováno v:
SIAM Journal on Mathematical Analysis. 44:682-698
We consider the viscous Burgers equation on a bounded interval with inhomogeneous Dirichlet boundary conditions. Following the variational framework introduced by Bertini et al. [Comm. Pure Appl. Math., 64 (2011), pp. 649–696], we analyze a Lyapuno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fa500dbe1c36dfbee0482c3713f9362
https://doi.org/10.1137/100804401
https://doi.org/10.1137/100804401