Borel subgroups of Cremona groupsPleiades Publishing Ltd - Tập 102 - Trang 60-67 - 2017
V. L. Popov
We prove that the affine-triangular subgroups are Borel subgroups of Cremona groups.
Characterization of Bounded Sets in Terms of Asymptotic Cones and HomothetiesPleiades Publishing Ltd - Tập 107 - Trang 791-803 - 2020
A. V. Marinov
A characterization of bounded sets in Banach spaces in terms of asymptotic cones and the Hausdorff deviations of sets from them homothetic images is obtained. Similar results for generalizations of the notion of boundedness are presented. Boundedness criteria have previously been known only for recessively compact sets.
Approximation by Simplest FractionsPleiades Publishing Ltd - - 2001
V. I. Danchenko, D. Ya. Danchenko
In this paper, a number of problems concerning the uniform approximation of complex-valued continuous functions
$$f\left( z \right)$$
on compact subsets of the complex plane by simplest fractions of the form
$$\Theta _n \lef...... hiện toàn bộ
Global Hölder estimates for optimal transportationPleiades Publishing Ltd - Tập 88 - Trang 678-695 - 2011
A. V. Kolesnikov
We generalize the well-known result due to Caffarelli concerning Lipschitz estimates for the optimal transportation T of logarithmically concave probability measures. Suppose that T: ℝ
d
→ ℝ
d
is the optimal transportation mapping µ = e
−V
dx to ν = e
...... hiện toàn bộ
Cascade search for preimages and coincidences: Global and local versionsPleiades Publishing Ltd - Tập 93 - Trang 172-186 - 2013
T. N. Fomenko
In previous papers of the author, the cascade search principle was proposed, which makes it possible to construct a set-valued self-map of a metric spaceX from a set-valued functional or a collection of set-valued maps of X so that the new map generates a multicascade, i.e., a set-valued discrete dynamical system whose limit set coincides with the zero set of the given functional, with the coincid...... hiện toàn bộ