Fetching the paper…
Reading the bibliography…
In 1966, Edward Nelson presented an interesting derivation of the Schrodinger equation using Brownian motion.
Quantisierung als Eigenwertproblem (zweite Mitteilung)
E. Schrödinger · 1926
Earlier work this paper cites.
Quanten theorie in Hydrodynamischer Form
E. Madelung · 1927
Earlier work this paper cites.
La nouvelle dynamique des quanta, in [H.A. Lorentz (ed.)]
L. de Broglie · 1928
Earlier work this paper cites.
A suggested interpretation of the quantum theory in terms of hidden variables, I and II
D. Bohm · 1952
Earlier work this paper cites.
Derivation of the Schrödinger Equation from Newtonian Mechanics, Physical Review
Edward Nelson · 1966
Earlier work this paper cites.
Conservative Diffusions. Commun. Math. Phys
Eric Carlen · 1984
Earlier work this paper cites.
Quantum Fluctuations
Edward Nelson · 1985
Earlier work this paper cites.
The density manifold and configuration space quantization,
John D Lafferty · 1988
Earlier work this paper cites.
The variational formulation of the Fokker–Planck equation
Richard Jordan, David Kinderlehrer, and Felix Otto · 1998
Earlier work this paper cites.
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
Jean-David Benamou and Yann Brenier · 2000
Earlier work this paper cites.
The discrete nonlinear Schrödinger equation–20 years on
J Chris Eilbeck and Magnus Johansson · 2002
Earlier work this paper cites.
Science from Fisher Information: A Unification
B. Roy Frieden · 2004
Cited alongside, same era.
A Conceptual Introduction to Nelson’s Mechanics
Guido Bacciagaluppi · 2005
Cited alongside, same era.
Computing multivalued physical observables for the semiclassical limit of the Schrodinger equation
Shi Jin, Hailiang Liu, Stanely Osher, Richard Tsai · 2005
Cited alongside, same era.
Gradient flows: in metric spaces and in the space of probability measures
Luigi Ambrosio, Nicola Gigli, and Giuseppe Savaré · 2006
Cited alongside, same era.
An asymptotic preserving scheme for the Schrödinger equation in the semiclassical limit
Pierre Degond, Samy Gallego, and Florian Méhats · 2007
Cited alongside, same era.
Hamiltonian ODEs in the Wasserstein space of probability measures
Luigi Ambrosio and Wilfrid Gangbo · 2008
A gradient structure for reaction–diffusion systems and for energy-drift-diffusion
Alexander Mielke · 2011
Later among the works it cites.
Fokker-Planck equations for a free energy functional or Markov process on a graph
Shui-Nee Chow, Wen Huang, Yao Li and Haomin Zhou · 2012
Later among the works it cites.
Ricci curvature of finite Markov chains via convexity of the entropy
Matthias Erbar and Jan Maas · 2012
Later among the works it cites.
Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations
Xavier Antoine, Weizhu Bao, Christophe Bessee · 2013
Later among the works it cites.
Bounds on the density of states for Schrödinger operators
Jean Bourgain and Abel Klein · 2013
Later among the works it cites.
Stochastic mechanics: a look back and a look ahead. Diffusion, quantum theory and radically elementary mathematics
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Hamilton-Jacobi equations in the Wasserstein space,
Wilfrid Gangbo, Truyen Nguyen, and Adrian Tudorascu · 2008
Cited alongside, same era.
An Optimal Transport View On Schroedinger’s Equation
Max-K von Renesse · 2008
Cited alongside, same era.
Optimal transport: old and new
Cédric Villani · 2008
Cited alongside, same era.
Probabilistic methods for discrete nonlinear Schrödinger equations
Sourav Chatterjee and Kay Kirkpatrick · 2010
Cited alongside, same era.
Gradient flows of the entropy for finite Markov chains
Jan Maas · 2011
Cited alongside, same era.
Eric Carlen · 2014
Later among the works it cites.
Nonlinear Schrodinger equation on graphs: recent results and open problems
Diego Noja · 2014
Later among the works it cites.
Entropy dissipation semi-discretization schemes for Fokker-Planck equations, submitted, 2016
Shui-Nee Chow, Luca Dieci, Wuchen Li and Haomin Zhou · 2016
Later among the works it cites.
A study of stochastic differential equations and Fokker-Planck equations with applications
Wuchen Li · 2016
Later among the works it cites.
Entropy dissipation of Fokker-Planck equations on graphs
Shui-Nee Chow, Wuchen Li and Haomin Zhou · 2017
Closest in time.