Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Pakdaman, Khashayar"'
In the past 20 years, the study of real eigenvalues of non-symmetric real random matrices has seen important progress. Notwithstanding, central questions still remain open, such as the characterization of their asymptotic statistics and the universal
Externí odkaz:
http://arxiv.org/abs/1605.00623
We consider the ensemble of Real Ginibre matrices with a positive fraction $\alpha>0$ of real eigenvalues. We demonstrate a large deviations principle for the joint eigenvalue density of such matrices and we introduce a two phase log-gas whose statio
Externí odkaz:
http://arxiv.org/abs/1501.03120
We introduce and analyze $d$ dimensional Coulomb gases with random charge distribution and general external confining potential. We show that these gases satisfy a large deviations principle. The analysis of the minima of the rate function (which is
Externí odkaz:
http://arxiv.org/abs/1402.7007
Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social sciences. In this article we study a primary model of disordered neuronal
Externí odkaz:
http://arxiv.org/abs/1306.2576
We consider the scalar delayed differential equation $\ep\dot x(t)=-x(t)+f(x(t-r))$, where $\ep>0$, $r=r(x,\ep)$ and $f$ represents either a positive feedback $df/dx>0$ or a negative feedback $df/dx<0$. When the delay is a constant, i.e. $r(x,\ep)=1$
Externí odkaz:
http://arxiv.org/abs/1203.4115
Autor:
Pakdaman, Khashayar, Pellegrin, Xavier
We introduce non-linear diffusion in a classical diffusion advection model with non local aggregative coupling on the circle, that exhibits a transition from an uncoherent state to a coherent one when the coupling strength is increased. We show first
Externí odkaz:
http://arxiv.org/abs/1202.6521
The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons structured by t
Externí odkaz:
http://arxiv.org/abs/1109.3014
Publikováno v:
This article was published in issue 5, 2012 of Nonlinearity, please go to http://iopscience.iop.org/0951-7715/25/5/1247 for the published version of the article
We study the dynamics of the large N limit of the Kuramoto model of coupled phase oscillators, subject to white noise. We introduce the notion of shadow inertial manifold and we prove their existence for this model, supporting the fact that the long
Externí odkaz:
http://arxiv.org/abs/1107.4501
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynamics. Each isolated system is a diffusion process on
Externí odkaz:
http://arxiv.org/abs/1106.0758
The Kuramoto model has been introduced in order to describe synchronization phenomena observed in groups of cells, individuals, circuits, etc... We look at the Kuramoto model with white noise forces: in mathematical terms it is a set of N oscillators
Externí odkaz:
http://arxiv.org/abs/0911.1499