The Feynman-Kac Formula, named for Richard Feynman and Mark Kac, establishes a link between parabolic partial differential equations and stochastic processes, expressing the solution of certain such equations as an expected value taken over the paths of an associated random process. The formula arose in 1947 after Kac, hearing Feynman present his path-integral approach to quantum mechanics at Cornell University, realized the two of them were working on the same underlying idea from different directions, and it provides a rigorous real-valued counterpart to Feynman's heuristic path integrals. The corresponding complex-valued case needed directly in quantum mechanics remains, by the source's own account, an open question.
Facts
Classification
Statement Form Connections
Has Statement Form
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.
In Branch
Source Feynman-Kac formula, Wikipedia
Sources
1. Feynman-Kac formula, Wikipedia
History
When originally published by Kac in 1949, the formula was presented as a means for determining the distribution of certain Wiener functionals.
In Branch: Differential Equations, Lead sentence
Kac, establishes a link between parabolic partial differential equations and stochastic processes.
View the SourceReader Challenges (0)
No disputes yet. Spotted an error or a better source? Open the first one.
Sign in to dispute this or suggest a correction.