Network Theory Part 19 - an example of Noether’s theorem and the Anderson–Craciun–Kurtz theorem: a diatomic gas. Joint post with John Baez. Also available on Azimuth.

Network Theory Part 18 - reaction networks versus Petri nets; the deficiency zero theorem, Joint post with John Baez, Azimuth blog, 2011.

Network Theory Part 17 - reaction networks versus Petri nets; the deficiency zero theorem, Joint post with John Baez, Azimuth blog, 2011.

Network Theory Part 7 - a stochastic Petri net from population biology whose rate equation is the logistic equation; an equilibrium solution of the corresponding master equation, Azimuth blog, 2011.

My courses related to the Azimuth Project

Quantum techniques for stochastic mechanics, QIC 890/891 Selected Advanced Topics in Quantum Information, The University of Waterloo, Waterloo Ontario, Canada, (Spring term 2012).

Lectures on Tensor Network States, QIC 890/891 Selected Advanced Topics in Quantum Information, The University of Waterloo, Waterloo Ontario, Canada, (2011).

Pages on Chemical Reaction Networks and Network Theory

The following examples illustrate the Anderson-Craciun-Kurz theorem saying that ‘complex balanced’ equilibria of the chemical rate equation give equilibria of the master equation: