"As usual when you discover something new,
the response comes in three waves.
First, this is nonsense.
Second, this is trivial.
Third, this is important,
and we did it before you did."
(F.Dyson)

Curriculum.

    Curriculum Vitae


Submitted articles.

  1. P. Falco: Critical exponents of the two dimensional Coulomb gas at the Berezinskii-Kosterlitz-Thouless transition.
    arXiv:1311.2237 [math-ph]


Published articles.

  1. G. Benfatto, P. Falco, V. Mastropietro: Universality of one-dimensional Fermi systems, II. The Luttinger liquid structure.
    Comm. Math. Phys. (to appear)

  2. G. Benfatto, P. Falco, V. Mastropietro: Universality of one-dimensional Fermi systems, I. Response functions and critical exponents.
    Comm. Math. Phys. (to appear)

  3. P. Falco: Arrow-arrow correlations for the Six-Vertex Model.
    Phys. Rev. E 88, 030103 (2013).

  4. P. Falco: Interacting Fermions Picture for Dimer Models.
    Phys. Rev. E 87, 060101 (2013).

  5. P. Falco: Kosterlitz-Thouless Transition Line for the Two Dimensional Coulomb Gas.
    Comm. Math. Phys. 312 559-609 (2012).

  6. P. Falco: Vector and Axial anomaly in the Thirring-Wess model.
    J. Math. Phys. 51 082306 (2010).

  7. G. Benfatto, P. Falco, V. Mastropietro: Universal relations for non-solvable statistical models.
    Phys. Rev. Lett. 104 075701 (2010).

  8. G. Benfatto, P. Falco, V. Mastropietro: Extended scaling relations for planar lattice models.
    Comm. Math. Phys. 292 569-605 (2009).

  9. G. Benfatto, P. Falco, V. Mastropietro: Massless Sine-Gordon and Massive Thirring Models: proof of the Coleman's equivalence.
    Comm. Math. Phys. 285 713-762 (2009).

  10. P. Falco, V. Mastropietro: Renormalization Group and Asymptotic Spin-Charge separation for Chiral Luttinger liquids.
    J. Stat. Phys. 131 79-116 (2008).

  11. A. Amaricci, F. Bonetto, P. Falco: Analyticity of the Sinai-Ruelle-Bowen measure for a class of simple Anosov flows.
    J. Math. Phys. 48 072701 (2007).

  12. G. Benfatto, P. Falco, V. Mastropietro: Functional integral construction of the massive Thirring model: verification of axioms and massless limit.
    Comm. Math. Phys. 273 67-118 (2007).

  13. F. Bonetto, P. Falco, A. Giuliani: Analyticity of the SRB measure of a lattice of coupled Anosov diffeomorphisms of the torus.
    J. Math. Phys. 45 3282-3309 (2004).


Conference Proceedings.

  1. P. Falco: Two-dimensional Quantum Field Models (with applications to Statistical Mechanics)
    XVIIth International Congress on Mathematical Physics


Unpublished manuscripts.

  1. G. Benfatto, P. Falco, V. Mastropietro: Universal Luttinger Liquid Relations in the 1D Hubbard Model.
    arXiv:1106.0356 [math-ph].

  2. G. Benfatto, P. Falco, V. Mastropietro: Non-perturbative Anomalies in d=2 QFT.
    arXiv:hep-th/0607043

  3. P. Falco: Rigorous construction of the Thirring model: Ward-Takahashi Identities, Schwinger-Dyson Equations and New Anomalies. (PhD thesis).
    arXiv:hep-th/0703274

  4. P. Falco: Studio della misura di Sinai, Bowen e Ruelle in sistemi semplici. (Degree thesis).