188 citations · 421 across the 22 of their papers we have counts for
22 papers
Autonomous evolution of electron speeds in a thermostatted system: exact results
Federico Bonetto, Nikolai Chernov, Alexey Korepanov +1
We investigate a dynamical system consisting of particles moving on a -dimensional torus under the action of an electric field with a Gaussian thermostat to keep the tot…
Fast and numerically stable circle fit
Houssam Abdul-Rahman, Nikolai Chernov
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), avoid…
Electrical current in Sinai billiards under general small forces
Nikolai Chernov, Hong-Kun Zhang, Pengfei Zhang
The Lorentz gas of -periodic scatterers (or the so called Sinai billiards) can be used to model motion of electrons on an ionized medal. We investigate the linear res…
Speed Distribution of N Particles in the Thermostated Periodic Lorentz Gas with a Field
Federico Bonetto, Nikolai Chernov, Alexey Korepanov +1
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…
Spatial Structure of Stationary Nonequilibrium States in the Thermostatted Periodic Lorentz Gas
Federico Bonetto, Nikolay Chernov, Alexey Korepanov +1
We investigate analytically and numerically the spatial structure of the non-equilibrium stationary states (NESS) of a point particle moving in a two dimensional periodic Lorentz g…
Fitting circles to scattered data: parameter estimates have no moments
N. Chernov
We study a nonlinear regression problem of fitting a circle (or a circular arc) to scattered data. We prove that under any standard assumptions on the statistical distribution of e…