Persistent homology of phase transition

Tuesday, July 17, 2018

11.30 a.m.

ISI seminar room 1st floor

Francesco Vaccarino ISI Foundation and Politecnico of Turin

Persistent homology analysis is applied to the study of the phase transitions undergone by the so-called mean-field XY model and by the φ^4 lattice model, respectively. For both models, the relationship between phase transitions and the topological properties of certain submanifolds of configuration space are exactly known. It turns out that these a priori known facts are clearly retrieved by persistent homology analysis of dynamically sampled submanifolds of configuration space.
Joint work with I.Donato, M.Gori, M.Pettini, G.Petri, S.De Nigris and R.Franzosi. ( Phys. Rev. E 93, 052138 (2016))