Math 2.0

Probability theory and stochastic processes Markov processes Concept

Feller process

Summary

A Feller process is a Markov process whose transition semigroup acts nicely on continuous functions that vanish at infinity. The semigroup maps such functions to such functions and is continuous in time at 00. These two conditions give a version with right-continuous paths that have left limits, the strong Markov property, and an infinitesimal generator. Brownian motion, Lévy processes and many diffusions are Feller processes.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Feller_process
About this page
Tag4HS3C12472
URIm2://4HS3C12472
Kindconcept
WritingW0 stub
MSC60J25, 60J35, 47D07
SpecializesStochastic process
Same as
Changed2 November 2026

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