Path integral formulations

Feynman path integrals, esp for stochastic processes

Applications of the famous Feynman-style path integral for quantum systems to non-quantum systems. Nothing to say here yet. Keywords: Onsager-Machlup. Does it connect to Feynman-Kac formulae? I think so, looking at Wio (2013).


Beretta, Gian Paolo. 2020. β€œThe Fourth Law of Thermodynamics: Steepest Entropy Ascent.” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378 (2170): 20190168.
Borgerding, Mark, and Philip Schniter. 2016. β€œOnsager-Corrected Deep Networks for Sparse Linear Inverse Problems.” arXiv:1612.01183 [Cs, Math], December.
Buzinov, M. S. 2017. β€œFeynman Formulas for Semigroups Generated by an Iterated Laplace Operator.” Russian Journal of Mathematical Physics 24 (2): 272–77.
Chow, Carson C., and Michael A. Buice. 2015. β€œPath Integral Methods for Stochastic Differential Equations.” The Journal of Mathematical Neuroscience (JMN) 5 (1): 8.
Dickman, Ronald, and Ronaldo Vidigal. 2003. β€œPath Integrals and Perturbation Theory for Stochastic Processes.” Brazilian Journal of Physics 33 (1): 73–93.
Hasegawa, Yoshihiko, and Tan Van Vu. 2019. β€œUncertainty Relations in Stochastic Processes: An Information Inequality Approach.” Physical Review E 99 (6): 062126.
Li, Yang, Jinqiao Duan, and Xianbin Liu. 2021. β€œMachine Learning Framework for Computing the Most Probable Paths of Stochastic Dynamical Systems.” Physical Review E 103 (1): 012124.
Onsager, L., and S. Machlup. 1953. β€œFluctuations and Irreversible Processes.” Physical Review 91 (6): 1505–12.
Sethna, James P. 2006. Statistical Mechanics: Entropy, Order Parameters, and Complexity. Oxford University Press, USA.
Westbroek, Marise J. E., Peter R. King, Dimitri D. Vvedensky, and Stephan Durr. 2018. β€œUser’s Guide to Monte Carlo Methods for Evaluating Path Integrals.” American Journal of Physics 86 (4): 293–304.
Wio, Horacio S. 2013. Path Integrals for Stochastic Processes: An Introduction. WORLD SCIENTIFIC.
Zinn-Justin, Jean. 2009. β€œPath Integral.” Scholarpedia 4 (2): 8674.

No comments yet. Why not leave one?

GitHub-flavored Markdown & a sane subset of HTML is supported.