1/f Noise and the Infrared Catastrophe

TL;DR

This paper introduces an intermittent stochastic process that produces 1/f noise while avoiding the infrared catastrophe, challenging the common assumption that such noise necessarily involves this problem.

Contribution

The authors propose a novel intermittent stochastic process that generates 1/f noise without encountering the infrared catastrophe, offering a new perspective on noise modeling.

Findings

Successfully generates 1/f noise without infrared catastrophe

Provides a new model for stochastic processes with 1/f noise

Challenges previous assumptions about the infrared catastrophe

Abstract

It is generally assumed that stochastic processes exhibiting 1/f noise are affected with the so-called infrared catastrophe. We present an intermittent stochastic process generating 1/f noise which avoids this problem.