Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Chernov, Nikolai"'
Publikováno v:
Nonlinearity 32 2055 (2019)
We investigate a dynamical system consisting of $N$ particles moving on a $d$-dimensional torus under the action of an electric field $E$ with a Gaussian thermostat to keep the total energy constant. The particles are also subject to stochastic colli
Externí odkaz:
http://arxiv.org/abs/1809.00016
Publikováno v:
Journal of Mathematical Imaging and Vision June 2014, Volume 49, Issue 2, pp 289-295
We develop a new algorithm for fitting circles that does not have drawbacks commonly found in existing circle fits. Our fit achieves ultimate accuracy (to machine precision), avoids divergence, and is numerically stable even when fitting circles get
Externí odkaz:
http://arxiv.org/abs/1505.03795
The Lorentz gas of $\mathbb{Z}^2$-periodic scatterers (or the so called Sinai billiards) can be used to model motion of electrons on an ionized medal. We investigate the linear response for the system under various external forces (during both the fl
Externí odkaz:
http://arxiv.org/abs/1308.5283
We study the long time evolution and stationary speed distribution of N point particles in 2D moving under the action of an external field E, and undergoing elastic collisions with either a fixed periodic array of convex scatterers, or with virtual r
Externí odkaz:
http://arxiv.org/abs/1210.7720
We study a gas of $N$ hard disks in a box with semi-periodic boundary conditions. The unperturbed gas is hyperbolic and ergodic (these facts are proved for N=2 and expected to be true for all $N\geq 2$). We study various perturbations by twisting the
Externí odkaz:
http://arxiv.org/abs/1111.4604
Publikováno v:
Nonlinearity vol 20, (2007) 2539-2549
We study a particle moving at unit speed in a self-similar Lorentz billiard channel; the latter consists of an infinite sequence of cells which are identical in shape but growing exponentially in size, from left to right. We present numerical computa
Externí odkaz:
http://arxiv.org/abs/0705.2790
Autor:
Chernov, Nikolai, Zhang, Hong-Kun
We describe a one-parameter family of dispersing (hence hyperbolic, ergodic and mixing) billiards where the correlation function of the collision map decays as $1/n^a$ (here $n$ denotes the discrete time), in which the degree $a \in (1, \infty)$ chan
Externí odkaz:
http://arxiv.org/abs/math-ph/0409024