The Robustness of Stochastic Switching Networks

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Executive Summary

Many natural systems, including chemical and biological systems, can be modeled using stochastic switching circuits. These circuits consist of stochastic switches, called pswitches, which operate with a fixed probability of being open or closed. The paper studies the effect caused by introducing an error of size ? to each pswitch in a stochastic circuit. The paper analyzes two constructions - simple series-parallel and general series-parallel circuits - and proves that simple series-parallel circuits are robust to small error perturbations, while general series-parallel circuits are not. Specifically, the total error introduced by perturbations of size less than ? is bounded by a constant multiple of ? in a simple series-parallel circuit, independent of the size of the circuit.

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