Riemann integration, Lebesgue integration
line integral/contour integration
integration of differential forms
integration over supermanifolds, Berezin integral, fermionic path integral
Kontsevich integral, Selberg integral, elliptic Selberg integral
integration in ordinary differential cohomology
integration in differential K-theory
The Wiener measure is a measure on the space of continuous paths in a given manifold. The Lebesgue integral with respect to Wiener’s measure is called the Wiener integral.
The Wiener measure serves to make precise the path integral quantization for the (charged) non-relativistic particle (that of the relativistic particle may be amenable to Wiener measure methods via Wick rotation, i.e. analytic continuation to imaginary time. ).
Named after Norbert Wiener‘s discussion of Brownian motion:
Introduction:
History:
See also:
PlanetMath Wiener measure
A textbook account in the context of path integral quantization:
Last revised on November 30, 2023 at 09:36:33. See the history of this page for a list of all contributions to it.