Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Wielonsky, Franck"'
We investigate the Riesz energy minimization problem on a $d$-dimensional ball in the presence of an external field created by a point charge above the ball in $\R^{d+1}$, $d\geq1$. Both cases of an attractive charge and a repulsive charge are consid
Externí odkaz:
http://arxiv.org/abs/2501.01208
In this paper, we investigate Riesz energy problems on unbounded conductors in $\R^d$ in the presence of general external fields $Q$, not necessarily satisfying the growth condition $Q(x)\to\infty$ as $x\to\infty$ assumed in several previous studies.
Externí odkaz:
http://arxiv.org/abs/2104.03733
The main subject of this paper is equilibrium problems on an unbounded conductor $\Sigma$ of the complex plane in the presence of a weakly admissible external field. An admissible external field $Q$ on $\Sigma$ satisfies, along with other mild condit
Externí odkaz:
http://arxiv.org/abs/1805.01679
We prove a large deviation principle for the sequence of push-forwards of empirical measures in the setting of Riesz potential interactions on compact subsets K in R^d with continuous external fields. Our results are valid for base measures on K sati
Externí odkaz:
http://arxiv.org/abs/1610.08422
We give a survey of recent results, due mainly to the authors, concerning Bernstein-Markov type inequalities and connections with potential theory.
Comment: This will appear soon in a special issue of Dolomites Research Notes on Approximation (D
Comment: This will appear soon in a special issue of Dolomites Research Notes on Approximation (D
Externí odkaz:
http://arxiv.org/abs/1512.00739
We give explicit integral formulas for the solutions of planar conjugate conductivity equations in a circular domain of the right half-plane with conductivity $\sigma(x,y)=x^p$, $p\in\mathbb{Z}$. The representations are obtained via a Riemann-Hilbert
Externí odkaz:
http://arxiv.org/abs/1504.07745
Autor:
Levenberg, Norman, Wielonsky, Franck
Publikováno v:
Dolomites Research Notes on Approximation; Sep2024, Vol. 17 Issue 3, p28-32, 5p
We establish properties concerning the distribution of poles of Pad e approximants, which are generic in Baire category sense. We also investigate Pad e universal series, an analog of classical universal series, where Taylor partial sums are replaced
Externí odkaz:
http://arxiv.org/abs/1404.3409
We prove a logarithmic estimate in the Hardy-Sobolev space $H^{k, 2}$, $k$ a positive integer, of the unit disk ${\mathbb D}$. This estimate extends those previously established by L. Baratchart and M. Zerner in $H^{1,2}$ and by S. Chaabane and I. Fe
Externí odkaz:
http://arxiv.org/abs/1205.4704
We prove existence and uniqueness of a solution to the problem of minimizing the logarithmic energy of vector potentials associated to a $d$-tuple of positive measures supported on closed subsets of the complex plane. The assumptions we make on the i
Externí odkaz:
http://arxiv.org/abs/1105.3088