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A Compositional Framework for Markov Processes | Azimuth

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This summer my students Brendan Fong and Blake Pollard visited me at the Centre for Quantum Technologies, and we figured out how to understand open continuous-time Markov chains! I think this is a nice step towards understanding the math of living systems. Admittedly, it’s just a small first step. But I’m excited by this step, since Blake and I have been trying to get this stuff to work for a couple years, and it finally fell into place. And we think we know what to do next. Here’s our paper: • John C. Baez, Brendan Fong and Blake S. Pollard, A compositional framework for open Markov processes. And here’s the basic idea… A continuous-time Markov chain is a way to specify the dynamics of a population which is spread across some finite set of states. Population can flow between the states. The larger the population of a state, the more rapidly population flows out of the state. Because of this property, under certain conditions the populations of the states tend toward an equilibrium whe

A Compositional Framework for Markov Processes | Azimuth Azimuth Home About A Compositional Framework for Markov Processes This summer my students Brendan Fong and Blake Pollard visited me at the Centre for Quantum Technologies , and we figured out how to understand open continuous-time Markov chains! I think this is a nice step towards understanding the math of living systems. Admittedly, it’s just a small first step. But I’m excited by this step, since Blake and I have been trying to get this stuff to work for a couple years, and it finally fell into place. And we think we know w

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