4 papers
Entropic Collapse and Extreme First-Passage Times in Discrete Ballistic Transport
Bhargav R. Karamched
We investigate the extreme first-passage statistics of non-interacting random walkers on discrete, hierarchical networks. {By distinguishing between transport limited by escape…
Macroscopic Dominance from Microscopic Extremes: Symmetry Breaking in Spatial Competition
Stuti Guha, Shawn D. Ryan, Bhargav R. Karamched
How do competing populations convert a spatial advantage into macroscopic dominance? We introduce a stochastic model for resource competition that decouples the transient discovery…
Dynamic homeostasis in relaxation and bursting oscillations
Christopher J. Ryzowicz, Richard Bertram, Bhargav R. Karamched
Homeostasis, broadly speaking, refers to the maintenance of a stable internal state when faced with external stimuli. Failure to manage these regulatory processes can lead to diffe…
Observability of complex systems via conserved quantities
Bhargav Karamched, Jack Schmidt, David Murrugarra
Many systems in biology, physics, and engineering are modeled by nonlinear dynamical systems where the states are usually unknown and only a subset of the state variables can be ph…