3 papers
math.PR2023
Critical fluid limit of a gated processor sharing queue
H. Christian Gromoll, Katelynn D. Kochalski
We consider a sequence of single-server queueing models operating under a service policy that incorporates batches into processor sharing: arriving jobs build up behind a gate whil…
math.CO2021
Strategy-indifferent games of best choice
Brant Jones, Katelynn D. Kochalski, Sarah Loeb +1
The game of best choice (or "secretary problem") is a model for making an irrevocable decision among a fixed number of candidate choices that are presented sequentially in random o…
math.FA2012
Roundness properties of ultrametric spaces
Timothy Faver, Katelynn Kochalski, Mathav Murugan +3
We obtain several new characterizations of ultrametric spaces in terms of roundness, generalized roundness, strict p-negative type, and p-polygonal equalities (p > 0). This allows…