A Noether theorem for Markov processes

DOI10.1063/1.4773921zbMath1280.81015arXiv1203.2035OpenAlexW3098938343WikidataQ62443341 ScholiaQ62443341MaRDI QIDQ5396263

Brendan Fong, John C. Baez

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1203.2035

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Markov semigroups and applications to diffusion processes (47D07) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stochastic mechanics (including stochastic electrodynamics) (81P20)

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Cites Work

• Symmetries in the stochastic calculus of variations
• The Noether theorems. Invariance and conservation laws in the twentieth century. Transl. from the French by Bertram E. Schwarzbach
• Noether’s theorem in symmetric stochastic calculus of variations
• Functional Analysis
• An Introduction to Markov Processes