Kernel/Metric Correspondence of Dissipative Systems in Information Theory

TL;DR

This paper explores the relationship between kernels and metrics in dissipative systems related to fractional Brownian motion, providing insights into their mathematical correspondence and discussing implications for information causality.

Contribution

It extends the kernel/metric correspondence to dissipative systems with fractional Brownian motion and offers commentary on information causality.

Findings

Established kernel/metric correspondence in dissipative systems.

Analyzed implications for information causality.

Extended previous work on fractional Brownian motion.

Abstract

We study the kernel/metric correspondence pointed out in our previous work in a dissipative system which is accompanying fractional Brownian motion. We also give some comments on information causality.