4 papers
Exact results and instabilities in the harmonic approximation of active crystals
Connor Roberts, Gunnar Pruessner
Condensates of active particles such as cells form almost-crystalline lattices which play a central role in many biological systems. Typically, their properties have been determine…
Conditional splitting probabilities for hidden-state inference in drift-diffusive processes
Emir Sezik, Jacob Knight, Henry Alston +4
Splitting probabilities quantify the likelihood of particular outcomes out of a set of mutually-exclusive possibilities for stochastic processes and play a central role in first-pa…
Stochastic cloaking: concealing a region from diffusive particles
Connor Roberts, Ziluo Zhang, Helder Rojas +4
We introduce "stochastic cloaking," where a region of space is concealed from an ensemble of diffusing particles whose individual trajectories are governed by a stochastic (Langevi…
Ratchet-mediated resetting: Current, efficiency, and exact solution
Connor Roberts, Emir Sezik, Eloise Lardet
We model an overdamped Brownian particle that is subject to resetting facilitated by a ratchet potential on a spatially periodic domain. This asymmetric potential switches on with…