Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Stos, Andrzej"'
Publikováno v:
In BioSystems March 2023 225
We give a power law for the homogeneity degree of the Martin kernel of the fractional Laplacian for the right circular cone when the angle of the cone tends to zero.
Comment: 22 pages, 2 figures
Comment: 22 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/1403.6581
Autor:
Heurteaux, Yanick, Stos, Andrzej
We study measures on $[0,1]$ which are driven by a finite Markov chain and which generalize the famous Bernoulli products. We propose a hands-on approach to determine the structure function $\tau$ and to prove that the multifractal formalism is satis
Externí odkaz:
http://arxiv.org/abs/1311.1356
Given a nondegenerate harmonic structure, we prove a Poincar\'e-type inequality for functions in the domain of the Dirichlet form on nested fractals. We then study the Hajlasz-Sobolev spaces on nested fractals. In particular, we describe how the "wea
Externí odkaz:
http://arxiv.org/abs/1201.3493
Publikováno v:
Proc. London Math, Soc. 101(2) (2010), pp. 589-622
We study the spectral properties of the transition semigroup of the killed one-dimensional Cauchy process on the half-line (0,infty) and the interval (-1,1). This process is related to the square root of one-dimensional Laplacian A = -sqrt(-d^2/dx^2)
Externí odkaz:
http://arxiv.org/abs/0906.3113
Autor:
Stos, Andrzej
We prove the kernel estimates related to subordinated semigroups on homogeneous trees. We study the long time propagation problem. We exploit this to show exit time estimates for (large) balls. We use an abstract setting of metric measure spaces. Thi
Externí odkaz:
http://arxiv.org/abs/math/0606185
Autor:
Stos, Andrzej
We prove the Boundary Harnack Principle related to fractional powers of Laplacian for some natural regions in the two-dimensional Sierpinski carpet. This is a natual application of a probabilistic method based on the Ikeda-Watanabe formula
Externí odkaz:
http://arxiv.org/abs/math/0503333
Publikováno v:
In Comptes rendus - Mathématique 2002 335(1):59-63
Autor:
Heurteaux, Yanick yanick.heurteaux@math.univ-bpclermont.fr, Stos, Andrzej stos@math.univ-bpclermont.fr
Publikováno v:
Journal of Statistical Physics. Dec2014, Vol. 157 Issue 6, p1046-1061. 16p.