Hoffman, ChristopherRichey, Jacob2020-10-262020-10-262020-10-262020Richey_washington_0250E_22152.pdfhttp://hdl.handle.net/1773/46504Thesis (Ph.D.)--University of Washington, 2020We study four problems in combinatorial probability, namely: activated random walk, an interacting particle process; a phase transition for Wishart matrices, a model of a random geometric graph; the Boolean intersection model, an intersection of random sets in $\mathbb{R}^d$; and rumor spreading algorithms on the $d$-regular tree.application/pdfen-USnoneActivated random walkBoolean modelProbabilityRandomRumorStochasticMathematicsStatisticsMathematicsThesis