Lorenzo Taggi's webpage

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 walks, interacting particle systems (papers [3], [5] and [6])
  • Self-avoiding walks, loop soups, spin systems (paper [1], [2], [4])
  • Probabilistic cellular automata (papers [7] and [8])
  • Mathematical models in epidemiology (paper [9])

Papers and Preprints


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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