25 citations
6 papers
The discrete renewal theorem with bounded interevent times
Rohan Shenoy
The purpose of this note is to prove the celebrated Discrete Renewal Theorem in a common special case. We use only very elementary methods from real analysis, rather than markov ch…
Linearizability of flows by embeddings
Matthew D. Kvalheim, Philip Arathoon
We consider the problem of determining the class of continuous-time dynamical systems that can be globally linearized in the sense of admitting an embedding into a linear system on…
The Price and Cost of Bitcoin
John E. Marthinsen, Steven R. Gordon
Explaining changes in bitcoin's price and predicting its future have been the foci of many research studies. In contrast, far less attention has been paid to the relationship betwe…
Analytic instability thresholds in folded Kerr resonators of arbitrary finesse
William J. Firth, John B. Geddes, Nathaniel J. Karst +1
We present analytic threshold formulae applicable to both dispersive (time-domain) and diffractive (pattern-forming) instabilities in Fabry-Perot Kerr cavities of arbitrary finesse…
Observations of spontaneous oscillations in simple two-fluid networks
Brian D. Storey, Deborah V. Hellen, Nathaniel J. Karst +1
We investigate the laminar flow of two-fluid mixtures inside a simple network of inter-connected tubes. The fluid system is comprised of two miscible Newtonian fluids of different…
Individual behavioral rules sustain the cell allocation pattern in the combs of honey bee colonies (Apis mellifera)
Kathryn J. Montovan, Nathaniel J. Karst, Laura E. Jones +1
In the beeswax combs of honey bees, the cells of brood, pollen, and honey have a consistent spatial pattern that is sustained throughout the life of a colony. This spatial pattern…