appear Publications of the Team
List of publications supported by the ERC CoG UNICOSM



  1. Equilibrium fluctuations for the disordered harmonic chain perturbed by an energy conserving noise
    C. Erignoux, M. Simon
    arXiv:1402.3617, Electron. J. Probab. 24, no. 143, 1-152 (2019)
  2. Hydrodynamic limit for an active exclusion process
    C. Erignoux
    arXiv:1608.04937 , Mémoires de la SMF, Volume 169 (2021)
  3. Interacting fermions with quasi-random disorder
    V. Mastropietro
    arXiv:1611.00748 , Mathematical Problems in Quantum Physics (2018), pp. 65-76. Edited by F. Bonetto, D. Borthwick, E. Harrell, M. Loss.
  4. Parseval frames of exponentially of exponentially Localized magnetic Wannier functions
    H. Cornean, D. Monaco, M. Moscolari
    arXiv:1704.00932 , Commun. Math. Phys. 371, 1179-1230 (2019)
  5. Adiabatic currents for interacting electrons on a lattice
    D. Monaco, S. Teufel
    arXiv:1707.01852, Rev. Math. Phys. 31, 1950009 (2019)
  6. Universal edge transport in interacting hall systems
    G. Antinucci, V. Mastropietro, M. Porta
    arXiv:1708.08517, Comm. Math. Phys. 362, 295-359 (2018)
  7. Spin Hall insulators beyond the Helical Luttinger model
    V. Mastropietro, M. Porta
    arXiv: 1709.05008 , Phys. Rev. B 96, 245135 (2017)
  8. Canonical Drude weight for non-integrable quantum spin chains
    V. Mastropietro, M. Porta
    arXiv:1710.11621, J. Stat. Phys. 172, 379-397 (2018)
  9. Order, disorder and phase transitions in quantum many body systems
    A. Giuliani
    arXiv:1711.06991, Istituto Lombardo (Rend. Scienze) 150, 3-46 (2016)
  10. Localised Wannier functions in metallic systems
    H. D. Cornean, D. Gontier, A. Levitt, D. Monaco
    arXiv:1712.07954, Ann. H. Poincaré 20, Issue 4, 1367-1391 (2019)
  11. Continuum Limit of Random Matrix Products in Statistical Mechanics of Disordered Systems
    H. Comets, G. Giacomin, R.L. Greenblatt
    arXiv:1712.09373, Comm. Math. Phys. 369, 171-219 (2019)
  12. Quantization of the Interacting Hall Conductivity in the Critical Regime
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv: 1803.11213v, J. Stat. Phys. 180, 332-365 (2020)
  13. Plate-nematic phase in three dimensions
    M. Disertori, A. Giuliani, I. Jauslin

    arXiv: 1805.05700, Comm. Math. Phys. 373, 327-356 (2020)
  14. Beyond Diophantine Wannier diagrams: Gap labelling for Bloch-Landau Hamiltonians
    H. D. Cornean, D. Monaco, M. Moscolari

    arXiv:1810.05623, J. Eur. Math. Soc. 23, 3679-3705 (2021).
  15. Non-integrable dimers: Universal fluctuations of tilted height profiles
    A. Giuliani, V. Mastropietro, F. L. Toninelli
    arXiv:1904.07526, Commun. Math. Phys. 377, 1883-1959 (2020)
  16. Microscopic derivation of time-dependent point interactions
    R. Carlone, M. Correggi, M. Falconi, M. Olivieri

    arXiv:1904.11012, SIAM J. Math. Anal. 53(4), 4657-4691 (2021)
  17. Non-integrable dimer models: universality and scaling relations
    A. Giuliani, F. Toninelli
    arXiv:1905.04011, J. Math. Phys. 60, 103301 (2019)
  18. Anomaly non-renormalization in interacting Weyl semimetals
    A. Giuliani, V. Mastropietro, M. Porta
    arXiv:1907.00682, Comm. Math. Phys. 997- 1060 (2021)
  19. Long range order in atomistic models for solids
    A. Giuliani, F. Theil

    arXiv:1907.07923, J. Eur. Math. Soc. 24, 3505-3555 (2022)
  20. Quasi-Classical dynamics
    M. Correggi, M. Falconi, M. Olivieri

    arXiv:1909.13313, J. Eur. Math. Soc., 25(2), 731-783 (2023)
  21. Stefan problem for a non-ergodic facilitated exclusion process
    O. Blondel, C. Erignoux, M. Simon

    arXiv:1912.09583, Prob. Math. Phys. Vol. 2, No. 1, 127-178 (2021)
  22. Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part I, the critical regime and beyond
    Erignoux, P. Gonçalves, G. Nahum

    arXiv:1912.09841, J. Stat Phys 181, 1433-1469 (2020)
  23. Hydrodynamics for SSEP with non-reversible slow boundary dynamics: Part II, below the critical regime beyond
    Erignoux, P. Gonçalves, G. Nahum

    arXiv:1912.09842, ALEA 17, 791-823 (2020)
  24. Streda formula for charge and spend currents
    D. Monaco, M. Moscolari
    arXiv:2002.02419, Rev. Math. Phys. 33, 2060003 (2021)
  25. Nematic first order phase transition for liquid crystals in the van der Waals-Kac limit
    C. Erignoux, A. Giuliani

    arXiv:.2002.12875, J. Math. Phys. 61, 103306 (2020)
  26. The dilute Fermi gas via Bogoliubov theory
    M. Falconi, E. L. Giacomelli, C.Hainzl, M. Porta

    arXiv:2006.00491, A. H. Poincaré 22, 2283-2353 (2021)
  27. Energy correlations of non-integrable Ising models: The scaling limit in the cylinder
    G. Antinucci, A. Giuliani, R. L. Greenblatt

    arXiv:2006.04458v4 , Comm. Math. Phys. 397, 393-483 (2023)
  28. Spin Hall conductivity in insulators with non-conserved spin
    D. Monaco, L. Ulcakar
    arXiv:2006.12071, Phys. Rev. B 102, 125138 (2020)
  29. Ground State Properties in the Quasi-Classical Regime
    M. Correggi, M. Falconi, M. Olivieri

    arXiv:2007.09442, Anal. PDE, in press
  30. Gentle introduction to rigorous Renormalization Group: a worked fermionic example
    A. Giuliani, V. Mastropietro, S. Rychkov

    arXiv:2008.0436, J. High Energ. Phys. 2021, 26 (2021)
  31. Non-analyticity of the correlation length in systems with exponentially decaying interactions
    Y. Aoun, D. Ioffe, S. Ott, Y. Velenik

    arXiv:2011.09802 , Comm. Math. Phys. 386, 433-467 (2021)
  32. Conformal invariance and Renormalization Group
    A. Giuliani
    , Markov Processes Relat. Fields 27, 665-685 (2021)
  33. Discrete and zeta-regularized determinants of the Laplacian on polygonal domains with Dirichlet boundary conditions
    R. L. Greenblatt

    arXiv:2102.04837, J. Math. Phys. 64, 043301 (2023)
  34. Non-integrable Ising models in cylindrical geometry: Grassmann representation and infinite volume limit
    G. Antinucci, A. Giuliani, R. L. Greenblatt

    arXiv:2104.09328, Ann. Henri Poincaré 23, 1061-1139 (2022)
  35. On the Casimir Effect with delta-Like Potentials, and a Recent Paper by K. Ziemian
    D. Fermi, L. Pizzocchero

    arXiv:2104.11029, in TThe Physics and Mathematics of Elliott Lieb 2022 (Ann. H. Poincaré online first)
  36. Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case
    R.L. Greenblatt
    arXiv:2105.00018, ALEA 19:1(2022), pp. 701-728
  37. The zeros of the partition function of the pinning model
    G. Giacomin, R. L. Greenblatt
    arXiv:2107.11804, MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
  38. Multi-Channel Luttinger Liquids at the Edge of Quantum Hall Systems<
    V. Mastropietro, M. Portal

    arXiv:2108.13708, Comm. Math. Phys. 395, 1097-1173 (2022)
  39. Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
    M. Falconi, N. Leopold, D. Mitrouskas, S. Petrati
    arXiv:2110.00458, Rev. Math. Phys. 33, 2350006 (2023)
  40. Scaling limits and universality of Ising and dimer models
    A. Giuliani
    arXiv:2110.09372, Proceedings of the International Congress of Mathematician 2022
  41. Semiclassical PDE anysis of quantum asymptotic fields in the Yukawa theory
    M. Falconi, Z. ammari, M. Olivieri
    arXiv:2111.03352v1, J. Differential Equations 357, 236-274 (2023)
  42. Towards a derivation of Classical ElectroDynamics of charges and fields from QED
    Z. Ammari, M. Falconi, F. Hiroshima

    arXiv:2202.05015
  43. Periodic striped states in Ising models with dipolar interactions
    D. Fermi, A. Giulian

    arXiv:2203.01249v3, The Physics and Mathematics of Elliott Lieb(2022)
  44. Ground state energy of dilute Bose gases in 1D
    J. Agerskov, R. Reuvers, J. P. Soloveji
    arXiv:2203.17183
  45. Weakly non-planar dimers
    A. Giuliani, B. Renzi, F. Toninell
    arXiv:2207.10428
  46. Quadratic forms for Aharonov-Bohm Hamiltonians
    D. Fermi

    arXiv:2208.06285
  47. Upper bound for the ground state energy of a dilute Bose gas of hard spheres
    G. Basti, S. Cenatiempo, A. Giuliani, A. Olgiati, G. Pasqualetti, B. Schlein

    arXiv:2212.04431
  48. Low temperature asymptotic expansion for classical O(N) vector models
    A. Giuliani, S. Ott

    arXiv:2302.07299