Classic models of cell size control consider that cells divide when reaching a threshold, e.g., size, age, or extension. The molecular basis the threshold involves multiple layers regulation as well gene noise. In this paper, we study cycle first-passage problem with stochastic and discover such stochasticity affects intergeneration statistics, which bewilders criteria to distinguish types mode...

Control Barrier Functions (CBFs) aim to ensure safety by constraining the control input at each time step so that system state remains within a desired safe region. This paper presents framework for CBFs in stochastic systems presence of Gaussian process and measurement noise. We first consider case where is known step, present reciprocal zero CBF constructions guarantee with probability 1. ext...

Optimized certainty equivalents (OCEs) are a family of risk measures widely used by both practitioners and academics. This is mostly due to its tractability the fact that it encompasses important examples, including entropic average value-at-risk. In this work we consider stochastic optimal control problems where objective criterion given an OCE measure or, in other words, minimization problem ...