Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Ugo Bessi"'
Autor:
Ugo Bessi
Several authors have shown that Kusuoka's measure $\kappa$ on fractals is a scalar Gibbs measure; in particular, it maximises a pressure. There is also a different approach, in which one defines a matrix-valued Gibbs measure $\mu$ which induces both
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3668::3064e7b7a7cdcfa9cceb7ab6d83d77e5
https://hdl.handle.net/11590/444349
https://hdl.handle.net/11590/444349
Autor:
Ugo Bessi
Kusuoka's measure on fractals is a Gibbs measure of a very special kind, since its potential is discontinuous while the standard theory of Gibbs measures requires continuous (in its simplest version, H\"older) potentials. In this paper we shall see t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5feeded6f2216e902ccd66f60271bc1c
http://arxiv.org/abs/2005.12028
http://arxiv.org/abs/2005.12028
Autor:
Ugo Bessi
The Hamilton-Jacobi equation on metric spaces has been studied by several authors; following the approach of Gangbo and Swiech, we show that the final value problem for the Hamilton-Jacobi equation has a unique solution even if we add a homological t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f87fda5d53934caa1f2ce9feec39650
http://arxiv.org/abs/2001.11823
http://arxiv.org/abs/2001.11823
Autor:
Ugo Bessi
Publikováno v:
Nonlinear Analysis. 199:111859
Koskela and Zhou have proven that, on the harmonic Sierpinski gasket with Kusuoka’s measure, the “natural” Dirichlet form coincides with Cheeger’s energy. We give a different proof of this result, which uses the properties of the Lyapunov exp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8e764e55b77251c59511922738846a7
https://doi.org/10.1016/j.na.2020.111859
https://doi.org/10.1016/j.na.2020.111859
Autor:
Ugo Bessi
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 25
J. Feng and T. Nguyen have shown that the solutions of the Fokker–Planck equation in $$\mathbf{R}^d$$ satisfy an entropy generation formula. We prove that, in compact metric measure spaces with the $$RCD(K,\infty )$$ property, a similar result hold
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e9f65c9d4ba1954dda5551002adce35
https://doi.org/10.1007/s00030-018-0518-6
https://doi.org/10.1007/s00030-018-0518-6
Autor:
Ugo Bessi
Publikováno v:
SIAM Journal on Mathematical Analysis. 48:204-228
We give a different proof of a theorem of W. Gangbo and A. Swiech on the short time existence of solutions of the master equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1b64b0f28ba37f2f9dcfce5aa8875bc
https://doi.org/10.1137/15m1018782
https://doi.org/10.1137/15m1018782
Autor:
Ugo Bessi
Publikováno v:
Advances in Mathematics. 266:17-83
Gomes and Valdinoci have introduced a time-step approximation scheme for a viscous version of Aubry–Mather theory; this scheme is a variant of that of Jordan, Kinderlehrer and Otto. Gangbo and Tudorascu have shown that the Vlasov equation can be se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4594d6561e9cd7ae3e3348148253d269
https://doi.org/10.1016/j.aim.2014.07.023
https://doi.org/10.1016/j.aim.2014.07.023
Autor:
Ugo Bessi
Publikováno v:
Journal of Differential Equations. 256:1-64
Some features of the Monge–Kantorovich transport problem can be extended to currents of all dimensions; we show that the “Fathi–Siconolfi” theorem is one of them.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73e913361c9f4131bab12a4f4ba14ff5
https://doi.org/10.1016/j.jde.2013.07.054
https://doi.org/10.1016/j.jde.2013.07.054
Autor:
Ugo Bessi
Let \begin{document} $(S,d)$ \end{document} be a compact metric space and let \begin{document} $m$ \end{document} be a Borel probability measure on \begin{document} $(S,d)$ \end{document} . We shall prove that, if \begin{document} $(S,d,m)$ \end{docu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75a79b9ccf444299fbd0d68f06b78e8b
https://hdl.handle.net/11590/317135
https://hdl.handle.net/11590/317135
Autor:
Daniel Massart, Ugo Bessi
Publikováno v:
Communications on Pure and Applied Mathematics. 64:1008-1027
We prove Mane's conjectures [9] in the context of codimension 1 Aubry-Mather theory. © 2011 Wiley Periodicals, Inc.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::640f168c7d240f4b9ad4dafaa2244bd6
https://doi.org/10.1002/cpa.20362
https://doi.org/10.1002/cpa.20362