Zobrazeno 1 - 10
of 92
pro vyhledávání: '"Rezakhanlou, Fraydoun"'
Autor:
Rezakhanlou, Fraydoun
We derive a kinetic equation to describe the statistical structure of solutions $\rho$ to scalar conservation laws $\rho_t=H(x,t,\rho )_x$, with certain Markov initial conditions. When the Hamiltonian function is convex and increasing in $\rho$, we s
Externí odkaz:
http://arxiv.org/abs/2309.04096
Autor:
Pelayo, Álvaro, Rezakhanlou, Fraydoun
We take the first steps to develop Conley-Zehnder Theory, as conjectured by Arnold, in the world of probability. As far as we know, this paper provides the first probabilistic theorems about the density of fixed points of symplectic twist maps in dim
Externí odkaz:
http://arxiv.org/abs/2306.15586
Autor:
Ouaki, Mehdi, Rezakhanlou, Fraydoun
We pursue two goals in this article. As our first goal, we construct a family $\mathcal{M}_G$ of Gibbs like measures on the set of piecewise linear convex functions $g:\mathbb{R}^2\to\mathbb{R}$. It turns out that there is a one-to-one correspondence
Externí odkaz:
http://arxiv.org/abs/2108.09361
Autor:
Rezakhanlou, Fraydoun, Seo, Insuk
In this article, we prove that a small random perturbation of dynamical system with multiple stable equilibria converges to a Markov chain whose states are neighborhoods of the deepest stable equilibria, under a suitable time-rescaling, provided that
Externí odkaz:
http://arxiv.org/abs/1812.02069
Publikováno v:
Probability Theory and Related Fields 165.3 (2016) p. 867 - 899
In 2010 Menon and Srinivasan published a conjecture for the statistical structure of solutions $\rho$ to scalar conservation laws with certain Markov initial conditions, proposing a kinetic equation that should suffice to describe $\rho(x,t)$ as a st
Externí odkaz:
http://arxiv.org/abs/1502.04795
Autor:
Rezakhanlou, Fraydoun
According to DiPerna-Lions theory, velocity fields with weak derivatives in $L^p$ spaces possess weakly regular flows. When a velocity field is perturbed by a white noise, the corresponding (stochastic) flow is far more regular in spatial variables;
Externí odkaz:
http://arxiv.org/abs/1405.5856
Autor:
Rezakhanlou, Fraydoun
Poincare's invariance principle for Hamiltonian flows implies Kelvin's principle for solution to Incompressible Euler Equation. Iyer-Constantin Circulation Theorem offers a stochastic analog of Kelvin's principle for Navier-Stokes Equation. Weakly sy
Externí odkaz:
http://arxiv.org/abs/1310.8353
Autor:
Rezakhanlou, Fraydoun
Publikováno v:
Annals of Probability 2013, Vol. 41, No. 3B, 1806-1830
The Marcus-Lushnikov process is a simple mean field model of coagulating particles that converges to the homogeneous Smoluchowski equation in the large mass limit. If the coagulation rates grow sufficiently fast as the size of particles get large, gi
Externí odkaz:
http://arxiv.org/abs/1306.3334
Autor:
Pelayo, Álvaro, Rezakhanlou, Fraydoun
We propose a generalization of the Poincar\'e-Birkhoff Theorem on area-preserving twist maps to area-preserving twist maps that are random with respect to an ergodic probability measure. The classical theory is a particular instance of the random the
Externí odkaz:
http://arxiv.org/abs/1306.0821