27 citations · 60 across the 7 of their papers we have counts for
7 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…
Run-and-tumble motion in a linear ratchet potential: Analytic solution, power extraction, and first-passage properties
Connor Roberts, Zigan Zhen
We explore the properties of run-and-tumble particles moving in a piecewise-linear "ratchet" potential by deriving analytic results for the system's steady-state probability densit…
Optimal power extraction from active particles with hidden states
Luca Cocconi, Jacob Knight, Connor Roberts
We identify generic protocols achieving optimal power extraction from a single active particle subject to continuous feedback control under the assumption that its spatial trajecto…
Exact solution of a boundary tumbling particle system in one dimension
Connor Roberts, Gunnar Pruessner
We derive the fully time-dependent solution to a run-and-tumble model for a particle which has tumbling restricted to the boundaries of a one-dimensional interval. This is achieved…