Work

Fractional stable random fields on the Sierpiński gasket

Year: 2024

Type: article

Abstract: We define and study fractional stable random fields on the Sierpiński gasket. Such fields are formally defined as (−Δ)−sWK,α, where Δ is the Laplace operator on the gasket and WK,α is a stable random measure. Both Neumann and Dirichlet boundary conditions for Δ are considered. Sample paths regularity and scaling properties are obtained. The techniques we develop are general and extend to the more general setting of the Barlow fractional spaces.

Source: Stochastic Processes and their Applications

DOI: 10.1016/j.spa.2024.104481

Authors: Fabrice Baudoin, Céline Lacaux

Institutions: Aarhus University, Université d'Avignon et des Pays de Vaucluse, Laboratoire de Mathématiques d'Avignon

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,420

Funders: National Science Foundation, Simons Foundation