Displaying similar documents to “On the equivalence of addition formula of lattice paths and the Kolmogorov equation of birth and death processes.”

Coupling a branching process to an infinite dimensional epidemic process

Andrew D. Barbour (2010)

ESAIM: Probability and Statistics

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Branching process approximation to the initial stages of an epidemic process has been used since the 1950's as a technique for providing stochastic counterparts to deterministic epidemic threshold theorems. One way of describing the approximation is to construct both branching and epidemic processes on the same probability space, in such a way that their paths coincide for as long as possible. In this paper, it is shown, in the context of a Markovian model of parasitic infection,...

On algebra-lattices

Jiří Rachůnek (1984)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Generic principles of active transport

Mauro Mobilia, Tobias Reichenbach, Hauke Hinsch, Thomas Franosch, Erwin Frey (2008)

Banach Center Publications

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Nonequilibrium collective motion is ubiquitous in nature and often results in a rich collection of intriguing phenomena, such as the formation of shocks or patterns, subdiffusive kinetics, traffic jams, and nonequilibrium phase transitions. These stochastic many-body features characterize transport processes in biology, soft condensed matter and, possibly, also in nanoscience. Inspired by these applications, a wide class of lattice-gas models has recently been considered. Building on...