Lorenzo Taggi's webpage

Postdoctoral fellow in Volker Betz's Group

Physical-mail:
Technische Universität Darmstadt
Fachbereich Mathematik
Arbeitsgruppe Stochastik
Schlossgartenstrasse 7
64289 Darmstadt
Germany

Research Interests


My research is in Probability and Statistical Mechanics. More specifically, I have acquired some experience with:

  • Random polymers, loop models, spin systems (paper [2])
  • Random walks, interacting particle systems (papers [1], [3] and [4])
  • Probabilistic cellular automata (papers [5] and [6])
  • Mathematical models in epidemiology (paper [7])

Papers and Preprints



  • [1]: Active phase for activated random walks with density less than one and arbitrary sleeping rate.
    Lorenzo Taggi. Submitted. ArXiv: 1712.05292 (2017).

  • [2]: Ensembles of self-avoiding polygons.
    Volker Betz and Lorenzo Taggi. Submitted. ArXiv: 1612.07234 (2016).

  • [3]: Critical density of activated random walks on Zd and general graphs.
    Alexandre Stauffer and Lorenzo Taggi. Accepted on Annals of Probability. ArXiv: 1512.02397 (2015).

  • [4]: Absorbing-state phase transition in biased Activated Random Walk.
    Lorenzo Taggi. Electronic Journal of Probability, Volume 21, Issue 13, (2016). ArXiv: 1403.1986 (2014).

  • [5]: Convergence Time of Probabilistic Cellular Automata.
    Lorenzo Taggi. Invited book chapter to appear on Probabilistic Cellular Automata (editors: Nazim Fates and Pierre-Yves Louis, Springer) (2014).

  • [6]: Critical Probabilities and Convergence Time of Percolation Probabilistic Cellular Automata.
    Lorenzo Taggi. Journal of Statistical Physics: Volume 159, Issue 4 (2015), Page 853-892. ArXiv: 1312.6990 (2014).

  • [7]: Dynamical correlations in the Escape Strategy of Influenza A virus,
    L. Taggi, F. Colaiori, V. Loreto, F. Tria. Europhysics Letters - 101, 68003 (2013). ArXiv: 1305.3418 (2013).

  • Size and structure of an epistatic space.
    L. Taggi, F. Colaiori, V. Loreto, F. Tria. Supplementary information to [5] (non intended for publication). ArXiv: 1303.5953 (2013).

Teaching


I offered two courses for master students in mathematics at TU Darmstadt.

    Random walks on graphs and potential theory (SS 2016)

    The course studies recurrence properties of random walks on general graphs. The analysis is carried on by introducing potential theory and the mathematical formalism of electric networks.

    Literature: Probability on Trees and Networks, by Lyons and Peres. Intesection of Random Walks, by G. F. Lawler.

    Introduction to Statistical Mechanics (SS 2017)

    The course explores the properties of spin systems with discrete and continuous symmetries. The program includes existence of the thermodynamic limit, high and low temperature representation for the Ising model, correlation inequalities, Lee and Yang cirle theorem, Mermin-Wagner theorem and connections to random walks.

    Literature: Statistical Mechanics of Lattice Systems a Concrete Mathematical Introduction, of S. Friedly and Y. Velenik

Events and activities


Short CV


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