On a general theorem for additive Levy processes

TL;DR

This paper presents a new general theorem for additive Levy processes, unifying and extending several existing theorems and addressing a long-standing conjecture in the field.

Contribution

The paper introduces a novel, comprehensive theorem for additive Levy processes that encompasses and implies multiple known results and a significant conjecture.

Findings

The new theorem unifies several existing results.

It implies a previously unproven conjecture.

The theorem advances understanding of additive Levy processes.

Abstract

We prove a new theorem on additive Levy processes and show that this theorem implies several proved theorems and a hard conjectured theorem.