3 papers
math.PR2012
On Cellular Automata Models of Traffic Flow with Look-Ahead Potential
Cory Hauck, Yi Sun, Ilya Timofeyev
We study the statistical properties of a cellular automata model of traffic flow with the look-ahead potential. The model defines stochastic rules for the movement of cars on a lat…
math.PR2012
Pedestrian Flow Models with Slowdown Interactions
Alina Chertock, Alexander Kurganov, Anthony Polizzi +1
In this paper, we introduce and study one-dimensional models for the behavior of pedestrians in a narrow street or corridor. We begin at the microscopic level by formulating a stoc…
cond-mat.other2004
A Theory of Fluctuations in Stock Prices
A. L. Alejandro-Quinones, K. E. Bassler, M. Field +5
The distribution of price returns for a class of uncorrelated diffusive dynamics is considered. The basic assumptions are (1) that there is a "consensus" value associated with a st…