In the stochastic description of biochemical reaction systems, the time evolution of statistical
moments for species population counts is described by a linear dynamical system. However …

Control of the stochastic dynamics of a quantum system is indispensable in fields such as
quantum information processing and metrology. However, there is no general ready-made …

Stochastic dynamics of several systems can be modeled via piecewise-deterministic time
evolution of the state, interspersed by random discrete events. Within this general class of …

Stochastic dynamical systems often contain non-linearities that make it hard to compute
probability density functions or statistical moments of these systems. For the moment …

This paper proposes a method based on semidefinite programming for estimating moments
of stochastic hybrid systems (SHSs). The class of SHSs considered herein consists of a finite …

Cantilever-based nanosensors are increasingly being used as gas and chemical sensors.
We mechanistically model an important source of stochasticity arising in these systems-the …

In this paper, we analyze the (exact) stochastic dynamics of spreading processes taking
place in complex networks. The analysis of this dynamics is, in general, very challenging …

Stochastic hybrid systems contain both continuous dynamics and discrete random events.
Here we consider a subclass of these systems in which the continuous dynamics is …

This paper presents a continuous-time semidefinite-programming method for bounding
statistics of stochastic processes governed by stochastic differential-algebraic equations with …

Stochastic processes have captivated scientific interest by balancing conceptual simplicity
with the ability to model complex, poorly understood, or even entirely unknown phenomena …