We study properties of the $\alpha $-Green kernel $ g_D^\alpha $ of order
$0<\alpha\leqslant2 $ for a domain $ D\subset\mathbb R^ n $, $ n\geqslant3 $. This kernel is …

We study the constrained minimum energy problem with an external field relative to the α-
Riesz kernel x− y α− n of order α∈(0, n) for a generalized condenser A=(A i) i∈ I in ℝ n, n⩾ …

We consider the Gibbs measure of a general interacting particle system for a certain class
of``weakly interacting" kernels. In particular, we show that the local point process converges …

We study minimum energy problems relative to the α α-Riesz kernel| xy|^ α-n| xy| α-n, α ∈
(0, 2 α∈(0, 2, over signed Radon measures μ μ on R^ n R n, n\geqslant 3 n⩾ 3, associated …

In view of a recent example of a positive Radon measure μ on a domain D⊂ ℝ n
D⊂\mathbbR^n, n⩾ 3 n\geqslant3, such that μ is of finite energy E g (μ) relative to the α …

We develop further the concept of weak α-Riesz energy with α∈(0, 2 of Radon measures μ
on ℝ n \mathbbR^n, n≥ 3 n\geqslant3, introduced in our preceding study and defined …

We proceed further with the study of minimum weak Riesz energy problems for condensers
with touching plates, initiated jointly with Fuglede (Potential Anal 51: 197–217, 2019) …

We apply recent findings of complex approximation theory to best rational approximation of
degree n to the exponential of−(n+ ν) x on [0, c]. The error norm behaves like the nth power …

We study a constrained Gauss variational problem relative to a positive definite kernel on a
locally compact space for vector measures associated with a condenser A=(A i) i∈ I whose …

We study a constrained minimum energy problem with an external field relative to the Riesz
kernel of an arbitrary order for a generalized condenser with touching oppositely-charged …