---
tag: Z7T669BQ9B
kind: concept
name: Hunt process
msc: [60J45, 60J25, 60J40]
sources:
  - url: https://en.wikipedia.org/wiki/Hunt_process
same_as:
  wikidata: Q5944024
  wikipedia: Hunt process
---

## Summary

A Hunt process is a strong Markov process with right-continuous paths that cannot jump at times that can be foreseen.
This class of processes is the standard setting of probabilistic potential theory.
Brownian motion, Lévy processes and Feller processes are Hunt processes.
For a Hunt process, the excessive functions behave like the superharmonic functions of classical potential theory.

## Explanations

### L1 human

A Hunt process is a random motion with three good features.
It forgets its past, even at random times chosen by watching the motion.
Its path has no gaps from the right and has limits from the left.
It never jumps at a moment that one could predict by watching it approach, a property called quasi-left-continuity.
Brownian motion is the basic example.