Hadeler, K. P. Travelling fronts for correlated random walks. (English) Zbl 0802.60065 Can. Appl. Math. Q. 2, No. 1, 27-43 (1994). From the abstract: Scalar reaction diffusion equations describe Brownian motion and multiplication of particles. If Brownian motion is replaced by a correlated random walk, then one obtains nonlinear hyperbolic systems. In the special case of one hyperbolic equation and in the general case of a hyperbolic system the existence problem for travelling front solutions is studied in detail. Reviewer: He Sheng Wu (Shanghai) Cited in 19 Documents MSC: 60G50 Sums of independent random variables; random walks 60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) 60J65 Brownian motion 60J80 Branching processes (Galton-Watson, birth-and-death, etc.) Keywords:scalar reaction diffusion equations; Brownian motion; multiplication of particles; correlated random walk; nonlinear hyperbolic systems; existence problem for travelling front solutions PDFBibTeX XMLCite \textit{K. P. Hadeler}, Can. Appl. Math. Q. 2, No. 1, 27--43 (1994; Zbl 0802.60065)