The paper deals with the theory of potentials with respect to the α-Riesz kernel| x− y| α− n of
order α∈(0, 2] on ℝ n, n≥ 3. Focusing first on the inner α-harmonic measure ε y A (ε y being …

We develop a theory of inner balayage of a positive Radon measure μ of finite energy on a
locally compact space X to arbitrary A⊂ X, thereby generalizing Cartan's theory of …

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 consider constellations of disks which are unions of disjoint hyperbolic disks in the unit
disk with fixed radii and unfixed centers. We study the problem of maximizing the conformal …

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) …

For a finite collection $\mathbf {A}=(A_i) _ {i\in I} $ of locally closed sets in $\mathbb R^ n $, $
n\geqslant 3$, with the sign $ s_i=\pm 1$ prescribed such that the oppositely charged plates …