9 citations · 56 across the 26 of their papers we have counts for
28 papers
Efficiency in Collective Decision-Making via Quadratic Transfers
Jon X. Eguia, Nicole Immorlica, Steven P. Lalley +3
Consider the following collective choice problem: a group of budget constrained agents must choose one of several alternatives. Is there a budget balanced mechanism that: i) does n…
Occupation densities of Ensembles of Branching Random Walks
Si Tang, Steven P. Lalley
We study the limiting occupation density process for a large number of critical and driftless branching random walks. We show that the rescaled occupation densities of $\lfloor sN\…
Phase Transition for the Chase-Escape Model on 2D Lattices
Si Tang, George Kordzakhia, Steven P. Lalley
Chase-Escape is a simple stochastic model that describes a predator-prey interaction. In this model, there are two types of particles, red and blue. Red particles colonize adjacent…
Local geometry of random geodesics on negatively curved surfaces
Jayadev S. Athreya, Steven P. Lalley, Jenya Sapir +1
It is shown that the tessellation of a compact, negatively curved surface induced by a typical long geodesic segment, when properly scaled, looks locally like a Poisson line proces…
Critical Branching Brownian Motion with Killing
Steven P. Lalley, Bowei Zheng
We obtain sharp asymptotic estimates for hitting probabilities of a critical branching Brownian motion in one dimension with killing at 0 We also obtain sharp asymptotic formulas f…
Contact Processes on Random Regular Graphs
Steven Lalley, Wei Su
We show that the contact process on a random -regular graph initiated by a single infected vertex obeys the "cutoff phenomenon" in its supercritical phase. In particular, we pro…