Two identities for Poisson Point Processes and Voronoi Tessellations with Applications
Mohsen Amidzadeh
TL;DR
This paper introduces two mathematical identities related to Poisson Point Processes and Voronoi tessellations, and demonstrates their applications in analyzing wireless cellular networks.
Contribution
It presents novel identities for PPPs and Voronoi tessellations, expanding analytical tools for stochastic geometry in wireless network modeling.
Findings
New identities for PPPs and Voronoi tessellations
Applications to wireless cellular network analysis
Enhanced understanding of spatial processes in networks
Abstract
In this paper, we introduce two identities one pertaining to the state space of Poisson Point Processes (PPPs), and the other for the Voronoi tessellations formed by PPPs. Then, we explore several applications of these identities within the context of wireless cellular networks.
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Taxonomy
TopicsPoint processes and geometric inequalities