Andrea Agazzi's home page

Andrea Agazzi (agazzi at math.duke.edu)
Griffith research assistant professor
Mathematics Department, Duke University
Physics Building, 120 Science Drive
27705 Durham, NC

Research Interests

I am interested in applied probability theory, more specifically in interacting particle systems for real world applications. I have worked on scaling limits for models of chemical reaction networks, focusing on the relations between their dynamics and their structure. More recently, I have started to work on scaling limits of statistical learning algorithms seen as interacting particle systems.

Publications and Preprints (see also vitae or Google Scholar Page)

  1. Seemingly stable chemical kinetics can be stable, marginally stable or unstable, with J. Mattingly, arXiv:1810.06547
  2. Large Deviations Theory for Markov Jump Models of Chemical Reaction Networks, with A. Dembo and J.-P. Eckmann, Ann. Appl. Prob. 28 (3), 1821-1855 (2018)
  3. On the Geometry of Chemical Network Theory: Lyapunov Function and Large Deviations Theory, with A. Dembo and J.-P. Eckmann, J. Stat. Phys. 172 (2), 321-352 (2018)
  4. The Colored Hofstadter Butterfly for the Honeycomb Lattice, with G. M. Graf and J.-P. Eckmann, J. Stat. Phys. 156 (3), 417-426 (2014)

Teaching

  1. Stochastic calculus (MATH 545.01)