for this workshop

## Limits and control of stochastic reaction networks

at the

American Institute of Mathematics, San Jose, California

organized by

Andrea Agazzi and Daniele Cappelletti

This workshop, sponsored by AIM and the NSF, will be devoted to providing new theoretical insights on stochastic models of interacting chemical species, called stochastic reaction networks. The main goal will be connecting the structure of a reaction network with its long-term dynamics, with particular attention to the problems of convergence, stability and controllability.

The open problems discussed during the workshop will include:

- Characterize the existence and the form of stationary distribution of stochastic reaction networks, with applications to the approximation of multiscale dynamics;
- Study their convergence behavior (convergence rates, geometric ergodicity, Lyapunov functions)
- Explore how to effectively control such convergence and the limiting distribution through small structural modifications of the network.

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

For more information email *workshops@aimath.org*