# Product-form stationary distributions for deficiency zero networks with non-mass action kinetics

Source: [Product-form stationary distributions for deficiency zero networks with non-mass action kinetics](<https://www.sota2.com/research/paper/68fa532f1e209131ce98115a>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T12:18:07.990Z

Authors: David F. Anderson, Simon L. Cotter

Published: 2016-05-23T14:53:34.000Z

## Abstract

In many applications, for example when computing statistics of fast subsystems in a multiscale setting, we wish to find the stationary distributions of systems of continuous time Markov chains. Here we present a class of models that appears naturally in certain averaging approaches whose stationary distributions can be computed explicitly. In particular, we study continuous time Markov chain models for biochemical interaction systems with non-mass action kinetics whose network satisfies a certain constraint. Analogous with previous related results, the distributions can be written in product form.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1605.07042>)

[PDF](<https://arxiv.org/pdf/1605.07042.pdf>)