Exploring Spatial Process Dynamics Using Irregular Cellular Automaton Models

Simulation of pedestrian dynamics using a 2-dimensional cellular automaton

We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax = 1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor field which modifies the transition rates to neighbouring cells. This field, which can be discrete or continuous, is subject to diffusion and decay. Furthermor...

Dynamics of the Cellular Automaton Rule 142

We investigate dynamics of the cellular automaton Rule 142. This rule possesses additive invariant of the second order, namely it conserves the number of blocks “10”. Rule 142 can be alternatively described as an operation on a binary string in which we simultaneously flip all symbols which have dissenting right neighbors. We show that the probability of having a dissenting neighbor can be comp...

Cellular Automaton Approach to Pedestrian Dynamics - Theory

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour interactions. Nevertheless it is able to reproduce collective effects and self-organization encountered in pedestrian dynamics. This is achieved by introducing a so-ca...

Cellular Automaton Models for Collective Cell Behaviour

Properties of Spatial Cox Process Models

Probabilistic properties of Cox processes of relevance for statistical modeling and inference are studied. Particularly, we study the most important classes of Cox processes, including log Gaussian Cox processes, shot noise Cox processes, and permanent Cox processes. We consider moment properties and point process operations such as thinning, displacements, and superpositioning. We also discuss...