A compositional framework for Markov processes

DOI10.1063/1.4941578zbMath1336.60147arXiv1508.06448OpenAlexW3104708154WikidataQ62443272 ScholiaQ62443272MaRDI QIDQ2798694

Brendan Fong, Blake S. Pollard, John C. Baez

Publication date: 13 April 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06448

zbMATH Keywords

Markov processescircuitssymplectic vector spacesLagrangian relationsblack box functorprinciple of minimum dissipation

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Symplectic manifolds (general theory) (53D05) Technical applications of optics and electromagnetic theory (78A55) Measures of information, entropy (94A17) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

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• Decorated Cospans
• Minimum entropy production principle from a dynamical fluctuation law
• Understanding Non-equilibrium Thermodynamics
• Symplectic geometry
• Introduction to bicategories
• Categories in Control
• Markov population processes

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