TL;DR
This paper provides a comprehensive analysis of the Gamma Levy process, exploring its properties, transformations, and extensions to complex spaces, with additional insights into related mathematical structures.
Contribution
It introduces new extensions and detailed properties of the Gamma Levy process, including its inverse, integrability, and various transformations, broadening the understanding of this stochastic process.
Findings
Detailed path properties of Gamma Levy process
Extensions to arbitrary sigma-finite spaces
Insights into related jump processes
Abstract
We discuss the Gamma Levy process, including path properties, the inverse process, integrability, and its spin-offs obtained by compounding, exponentiation, and other operations; further extendable to arbitrary sigma-finite continuous Borel spaces. An appendix on modular spaces and deterministic jump processes is included.
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Taxonomy
TopicsHistory and advancements in chemistry