4 papers
Stochastic Control of Addiction with State-Dependent Jump Relapse
Dounia Aissi, Ioana Ciotir, Dan Goreac +1
We study a continuous-time rational addiction model where addiction capital follows a piecewise deterministic Markov process with state-dependent jumps capturing relapse and recove…
A Relaxed Control Problem With Cost and Jump Dynamics Motivated by Cyber Risks Insurance
Dan Goreac, Juan Li, Pangbo Wang
This paper has a double aim. One the one hand, we introduce a uni-nodal network model for cyber risks with firewalled edges and SIR intra-edge spreading. In connection to this, we…
Controllability concepts for mean-field dynamics with reduced-rank coefficients
Dan Goreac, Juan Li, Xinru Zhang
In this paper we explore several novel notions of exact controllability for mean-field linear controlled stochastic differential equations (SDEs). A key feature of our study is tha…
A Stochastic Porous Media Schr{ö}dinger Equation: Feynman-type Motivation, Well-Posedness and Control Interpretation
Ioana Ciotir, Dan Goreac, Juan Li +1
This paper's aim is threefold. First, using Feynman's path approach to the derivation of theclassical Schr{ö}dinger's equation in [6] and by introducing a slight path (or wave) de…