- Associate Investigators
- Andrea Collevecchio
Assoc. Professor Andrea Collevecchio
I received my PhD from Purdue University in 2004. I held Postdoc position at University of Chieti-Pescara, and Max Planck Institute Leipzig. Prior to join the School of Mathematical Sciences at Monash, I was assistant prof at University of Venice.
I am interested in Probability Statical Mechanics. In particular
large deviations and its applications to interacting particle systems.
my favourite research topics are reinforced random walks
random walks in random environment
Probability, Statistical Mechanics
Invited talks, refereed proceedings and other conference outputs
Collevecchio, A. (2018). Branching Ruin Number. AustMS 2018.
Collevecchio, A. (2018). Vertex Reinforced Jump Process and Anderson Localization. 7th Monash-Ritsumeikan Symposium on Probability and Related Fields.
Collevecchio, A., Hamza K., & Tournier L. (2019). A deterministic walk on the randomly oriented Manhattan lattice. arXiv. arXiv:1904.12751.
Collevecchio, A., Elçi E. Metin, Garoni T. M., & Weigel M. (2018). On the Coupling Time of the Heat-Bath Process for the Fortuin–Kasteleyn Random–Cluster Model. Journal of Statistical Physics. 170(1), 22-61. doi: 10.1007/s10955-017-1912-x
Collevecchio, A., Garoni T. M., Hyndman T., & Tokarev D. (2016). The worm process for the Ising model is rapidly mixing. Journal of Statistical Physics. 164(5), 1082-1102. doi: 10.1007/s10955-016-1572-2
Technical reports and unrefereed outputs
Collevecchio, A., Kious D., & Sidoravicius V. (2018). The branching-ruin number and the critical parameter of once-reinforced random walk on trees.