α-stable random walk has massive thorns

• Autorzy: Alexander Bendikov , Wojciech Cygan
• Języki publikacji: EN

Abstrakty

EN

We introduce and study a class of random walks defined on the integer lattice $ℤ^{d}$-a discrete space and time counterpart of the symmetric α-stable process in $ℝ^{d}$. When 0 < α <2 any coordinate axis in $ℤ^{d}$, d ≥ 3, is a non-massive set whereas any cone is massive. We provide a necessary and sufficient condition for a thorn to be a massive set.

Kategorie tematyczne

• 31B15: Potentials and capacities, extremal length
• 60G50: Sums of independent random variables; random walks

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 138
• Numer: 1
• Strony: 105-129

Daty

wydano

2015

Twórcy

autor

Alexander Bendikov

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Wojciech Cygan

• Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Identyfikatory

DOI

10.4064/cm138-1-7