Zobrazeno 1 - 10
of 607
pro vyhledávání: '"Chernov N"'
Autor:
Chernov, N., Korepanov, A.
Publikováno v:
Physica D: Nonlinear Phenomena, 2014, Vol.285:1.7
Sinai-Ruelle-Bowen measures are the only physically observable invariant measures for billiard dynamical systems under small perturbations. These measures are singular, but as it was observed, marginal distributions of spatial and angular coordinates
Externí odkaz:
http://arxiv.org/abs/1510.00532
Publikováno v:
Russian Journal of General Chemistry. Nov2022, Vol. 92 Issue 11, p2246-2253. 8p.
Autor:
Kustin, R. P.1, Chernov, N. M.1 nikita.chernov@pharminnotech.com, Shutov, R. V.1, Yakovlev, I. P.1
Publikováno v:
Russian Journal of General Chemistry. Sep2022, Vol. 92 Issue 9, p1604-1609. 6p.
Autor:
Chernov, N.
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 errors that are commonly adopted in the literature, the estimates of th
Externí odkaz:
http://arxiv.org/abs/0907.0429
Autor:
Al-Sharadqah, A., Chernov, N.
We study the problem of fitting circles (or circular arcs) to data points observed with errors in both variables. A detailed error analysis for all popular circle fitting methods -- geometric fit, Kasa fit, Pratt fit, and Taubin fit -- is presented.
Externí odkaz:
http://arxiv.org/abs/0907.0421
Autor:
Chernov, N., Dolgopyat, D.
A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work we study a 2D version of this model, where the molecule is a heavy disk of mass M and the gas is represented by
Externí odkaz:
http://arxiv.org/abs/0812.0073
Autor:
Chernov, N., Simanyi, N.
Publikováno v:
J. Stat. Phys. Vol. 139. No. 3 (2010), 355-366
The Local Ergodic Theorem (also known as the `Fundamental Theorem') gives sufficient conditions under which a phase point has an open neighborhood that belongs (mod 0) to one ergodic component. This theorem is a key ingredient of many proofs of ergod
Externí odkaz:
http://arxiv.org/abs/0705.4125
Autor:
Chernov, N., Simanyi, N.
Publikováno v:
Annales Henri Poincare, Vol. 8 (2007), 475-483
This work results from our attempts to solve Boltzmann-Sinai's hypothesis about the ergodicity of hard ball gases. A crucial element in the studies of the dynamics of hard balls is the analysis of special hypersurfaces in the phase space consisting o
Externí odkaz:
http://arxiv.org/abs/math/0603360
Publikováno v:
Journal of Complexity, Vol. 20, Issue 4, August 2004, pp. 484-492
We study a popular algorithm for fitting polynomial curves to scattered data based on the least squares with gradient weights. We show that sometimes this algorithm admits a substantial reduction of complexity, and, furthermore, find precise conditio
Externí odkaz:
http://arxiv.org/abs/cs/0308023
Autor:
Chernov, N.
We consider a heavy piston in an infinite cylinder surrounded by ideal gases on both sides. The piston moves under elastic collisions with gas atoms. We assume here that the gases always exert equal pressures on the piston, hence the piston remains a
Externí odkaz:
http://arxiv.org/abs/cond-mat/0303395