### Luca Bortolussi (University of Trieste, Italy)

#### Hybrid fluid limits

*Wednesday 15 February 2012 at 15.30, JCMB 6206*

##### Abstract

In this talk we will discuss the notion of fluid limit of a sequence of
stochastic processes from a more "computer-scientific" point of view. We will
start from an high level modelling language, define different semantics of this
language, in terms of CTMC, ODE and hybrid systems, and then investigate the
relationships between these semantics. In addition to classical fluid theorems,
emerging while considering CTMC and ODE semantics, two other cases are
interesting:

1. Convergence results of a sequence of CTMC to an hybrid system, integrating
discrete+stochastic and continuous dynamics;

2. Convergence results in the presence of discontinuities, caused by guarded
transitions in the high level model. In this case, we will show convergence of
a sequence of CTMC to a piecewise smooth dynamical system.

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