Stochastic geometry is an area of mathematics that investigates random spatial patterns and the probabilistic foundations of geometric structures. A key focus within this field is the study of random ...

This lecture course is devoted to the study of random geometrical objects and structures. Among the most prominent models are random polytopes, random tessellations, particle processes and random ...

Explaining the complex structure of tropical forests is one of the great challenges in ecology. An issue of special interest is the distribution of different sizes of trees, something which is of ...

Inhalt: In this course we will study some basic concepts of Convex and Integral Geometry and at the end we will get in touch with a few classical results from Stochastic geometry. In the first part of ...

A stochastic distance measure is defined for a general diffusion process on a parameter space X. This distance is defined by ds2=∑ gijdxidxj where (gij) is the inverse of the covariance matrix of the ...

In this paper we consider a diffusive stochastic predator–prey model with a nonlinear functional response and the randomness is assumed to be of Gaussian nature. A large deviation principle is ...

Academy Professor Antti Kupiainen has received a €2.5 million ERC Advanced Grant. Antti Kupiainen, whose research deals with quantum fields and probability theory, applies methods from theoretical ...