%0 Journal Article
%T L¨Ļvy-based growth models
%A Kristjana Yr J¨Žnsd¨Žttir
%A J¨šrgen Schmiegel
%A Eva B. Vedel Jensen
%J Mathematics
%D 2008
%I arXiv
%R 10.3150/07-BEJ6130
%X In the present paper, we give a condensed review, for the nonspecialist reader, of a new modelling framework for spatio-temporal processes, based on L\'{e}vy theory. We show the potential of the approach in stochastic geometry and spatial statistics by studying L\'{e}vy-based growth modelling of planar objects. The growth models considered are spatio-temporal stochastic processes on the circle. As a by product, flexible new models for space--time covariance functions on the circle are provided. An application of the L\'{e}vy-based growth models to tumour growth is discussed.
%U http://arxiv.org/abs/0803.0860v1