# Perturbed Palm measures

## TL;DR

This paper demonstrates that perturbing a Palm measure with an independent process having stationary increments results in a measure that is still a Palm measure, highlighting a stability property in stochastic process theory.

## Contribution

It establishes a new invariance property of Palm measures under perturbations by stationary increment processes.

## Key findings

- Perturbation preserves the Palm measure property.
- Stationary increments are key to the invariance.
- Provides theoretical insight into Palm measure stability.

## Abstract

We show that the perturbation of a Palm measure by an independent process with stationary increments remains a Palm measure.

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Source: https://tomesphere.com/paper/2508.20683