Year: 2014
Type: article
Abstract: An approach to modelling random sets with locally finite perimeter as random elements in the corresponding subspace ofL1functions is suggested. A Crofton formula for flat sections of the perimeter is shown. Finally, random processes of particles with finite perimeter are introduced and it is shown that their union sets are random sets with locally finite perimeter.
Source: Mathematische Nachrichten
Author: Jan Rataj
Institution: Charles University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2950140323