Critical values in continuum and dependent percolation

  • Thomas Rosoman

Student thesis: Doctoral ThesisPhD

Abstract

In the first part of this thesis I consider site and bond percolation on a Random Connection Model and prove that for a wide range of connection functions the critical site probability is strictly greater than the critical bond probability and use this fact to improve previously known non-strict inequalities to strict inequalities. In the second part I consider percolation on the even phase of a Random Sequential Adsorption model and prove that the critical intensity is finite and strictly bigger than 1. Both of these main results make use of an enhancement technique.
Date of Award1 Jun 2011
LanguageEnglish
Awarding Institution
  • University of Bath
SupervisorMathew Penrose (Supervisor)

Keywords

  • random sequential adsorption
  • random geometric graphs
  • percolation

Cite this

Critical values in continuum and dependent percolation
Rosoman, T. (Author). 1 Jun 2011

Student thesis: Doctoral ThesisPhD