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Publications / Preprints (G. Giacomin)

Copyright for the published version is with the publishers of the respective journal

  1. O. Collin, G. Giacomin and Y. Hu
    The random field Ising chain domain-wall structure in the large interaction limit
    arXiv:2401.03927
  2. O. Collin, G. Giacomin and Y. Hu
    Infinite disorder renormalization fixed point for the continuum random field Ising chain
    arXiv:2305.12413
  3. G. Giacomin and R. L. Greenblatt
    The zeros of the partition function of the pinning model
    Mathematical Physics, Analysis and Geometry 25 (2022), paper 16, 51 pp.
    SpringerNature SharedIt + SpringerLink + arXiv:2107.11804
  4. G. Giacomin and R. L. Greenblatt
    Lyapunov exponent for products of random Ising transfer matrices: the balanced disorder case
    ALEA Lat. Am. J. Probab. Math. Stat. 19 (2022), 701–728.
    Alea + arXiv:2105.00018
  5. G. Giacomin and B. Havret
    Localization, big-jump regime and the effect of disorder for a class of generalized pinning models
    J. Statist. Phys. 181 (2020), 2015–2049
    Springer Nature SharedIt + arXiv:2003.05140
  6. G. Giacomin and H. Lacoin
    The disordered lattice free field pinning model approaching criticality
    Ann. Probab. 50 (2022), 1478-1537.
    Project Euclid + arXiv:1912.10538
  7. Q. Berger, G. Giacomin and M. Khatib
    Disorder and denaturation transition in the generalized Poland-Scheraga model
    Ann. H. Lebesgue 3 (2020), 299–339.
    AHL-Mersenne arXiv:1807.11397
  8. F. Coppini, H. Dietert and G. Giacomin
    A Law of Large Numbers and Large Deviations for interacting diffusions on Erdös-Rényi graphs
    Stochastics and Dynamics 20 (2020), 2050010 (19 pages)
    World Scientific+arXiv:1807.10921
  9. F. Comets, G. Giacomin and R. L. Greenblatt
    Continuum limit of random matrix products in statistical mechanics of disordered systems
    Commun. Math. Phys. 369 (2019), 171-219.
    Springer Link arXiv:1712.09373
  10. Q. Berger, G. Giacomin and H. Lacoin
    Disorder and critical phenomena: the α=0 copolymer model
    Probab. Theory Related Fields 174 (2019), 787–819
    Springer Link Springer Nature SharedIt arXiv:1712.02261
  11. Q. Berger, G. Giacomin and M. Khatib
    DNA melting structures in the generalized Poland-Scheraga model
    ALEA, Lat. Am. J. Probab. Math. Stat. 15 (2018), 993–1025.
    ALEA arXiv:1703.10343
  12. S. Delattre, G. Giacomin and E. Luçon
    A note on dynamical models on random graphs and Fokker-Planck equations
    J. Statist. Phys. 165 (2016) 785–798
    Springer Link Springer Nature SharedIt arXiv:1607.05224
  13. G. Giacomin and H. Lacoin
    Disorder and wetting transition: the pinned harmonic crystal in dimension three or larger
    Ann. Appl. Probab. 28 (2018), 577–606
    Project EuclidarXiv:1607.03859
  14. G. Genovese, G. Giacomin and R. L. Greenblatt
    Singular behavior of the leading Lyapunov exponent of a product of random 2×2 matrices
    Commun. Math. Phys. 351 (2017), 923-958.
    Springer Link Springer Nature SharedIt arXiv:1602.03633
  15. G. Giacomin, C. Poquet and A. Shapira
    Small noise and long time phase diffusion in stochastic limit cycle oscillators
    J. Differential Equations 264 (2018), 1019–1049.
    Science Direct arXiv:1512.04436
  16. G. Giacomin and M. Khatib
    Generalized Poland-Scheraga denaturation model and two-dimensional renewal processes
    Stoch. Proc. Appl. 127 (2017), 526-573.
    Science Direct arXiv:1510.07996
  17. G. Giacomin and H. Lacoin
    Pinning and disorder relevance for the lattice Gaussian free field
    J. Eur. Math. Soc. 20 (2018), 199–257.
    EMS Publishing House arXiv:1501.07909
  18. B. Fernandez, D. Gérard-Varet and G. Giacomin
    Landau damping in the Kuramoto model
    Annales Henri Poincaré 17 (2016), 1793-1823.
    Springer Link arXiv
  19. G. Giacomin and C. Poquet
    Noise, interaction, nonlinear dynamics and the origin of rhythmic behaviors
    Braz. J. Probab. Stat. 29 (2015), 460-493.
    Project Euclid
  20. G. Giacomin and M. Merle
    Weak noise and non hyperbolic unstable fixed points: sharp estimates on transit and exit times
    Bernoulli 21 (2015), 2242-2288.
    Project Euclid arXiv
  21. B. Derrida and G. Giacomin
    Log-periodic critical amplitudes: a perturbative approach
    J. Statist. Phys. 154 (2014), 286-304.
    Springer Link arXiv
  22. L. Bertini, G. Giacomin and C. Poquet
    Synchronization and random long time dynamics for mean-field plane rotators
    Probab. Theory Relat. Fields 160 (2014), 593-653.
    Springer Link arXiv
  23. P. Dai Pra , G. Giacomin and D. Regoli
    Noise-induced Periodicity: Some Stochastic Models for Complex Biological Systems
    Mathematical Models and Methods for Planet Earth, Springer INdAM series 6 (2014), 25-35.
    Springer Link
  24. O. Costin and G. Giacomin
    Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes
    J. Statist. Phys., 150 (2013), 471-486.
    Old title: Oscillatory critical amplitudes in hierarchical models and the tail of the Harris random variable.
    Springer LinkarXiv
  25. G. Giacomin, E. Luçon and C. Poquet
    Coherence stability and effect of random natural frequencies in populations of coupled oscillators
    J. Dynamic. Differential Equations, 26 (2014), 333-367.
    Springer Link arXiv
  26. G. Giacomin, K. Pakdaman and X. Pellegrin,
    Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators
    Nonlinearity, 25 (2012), 1247-1273.
    IOPscience
  27. G. Giacomin, K. Pakdaman, X. Pellegrin and C. Poquet
    Transitions in active rotator systems: invariant hyperbolic manifold approach
    SIAM J. Math. Analysis, 44 (2012), 4165-4194.
    SIAM epubs PDF
  28. G. Giacomin
    Disorder and critical phenomena through basic probability models
    École d’Été de Probabilités de Saint-Flour XL – 2010, Springer Lecture Notes in Mathematics 2025, 2011, DOI: 10.1007/978-3-642-21156-0.
    Springer
  29. F. Caravenna, G. Giacomin and F. L. Toninelli
    Copolymers at selective interfaces: settled issues and open problems
    Probability in Complex Physical Systems, volume 11 of Springer Proceedings in Mathematics, pages 289–311. Springer Berlin Heidelberg, 2012.
    Springer Link
  30. L. Bertini, G. Giacomin and K. Pakdaman
    Dynamical aspects of mean field plane rotators and the Kumamoto model
    J. Statist. Phys. 138 (2010), 270-290.
    Springer Link ArXiv
  31. F. Caravenna and G. Giacomin
    The weak coupling limit of disordered copolymer models
    Ann. Probab. 38 (2010), 2322-2378.
    Project Euclid ArXiv
  32. G. Giacomin, H. Lacoin and F. L. Toninelli
    Disorder relevance at marginality and critical point shift
    Ann. Inst. H. Poincaré (B) Probab. Statist. 47 (2011), 148-175.
    Projet Euclid arXiv
  33. G. Giacomin, H. Lacoin and F. L. Toninelli
    Marginal relevance of disorder for pinning models
    Commun. Pure Appl. Math. 63 (2010), 233-265.
    Wiley Online Library arXiv
  34. F. Caravenna, G. Giacomin and M. Gubinelli
    Large scale behavior of semi flexible heteropolymers
    Ann. Inst. H. Poincaré (B) Probab. Statist. 46 (2010), 97-118.
    Numdam arXiv
  35. G. Giacomin
    Renewal sequences, disordered potentials, and pinning phenomena
    Spin Glasses: Statics and Dynamics, Summer School, Paris 2007, Progress in Probability 62 (2009), 235-270.
    Springer Link arXiv
  36. T. Bodineau, G. Giacomin, H. Lacoin and F. L. Toninelli
    Copolymers at selective interfaces: new bounds on the phase diagram
    J. Statist. Phys. 132 (2008), 603-626.
    Springer Link arXiv
  37. B. Derrida, G. Giacomin, H. Lacoin and F. L. Toninelli
    Fractional moment bounds and disorder relevance for pinning models
    Commun. Math. Phys. 287 (2009), 867-887.
    Springer Link arXiv
  38. G. Giacomin, H. Lacoin and F. L. Toninelli
    Hierarchical pinning models, quadratic maps and quenched disorder
    Probab. theory Rel. Fields 147 (2010), 185-216.
    Springer Link Hal
  39. G. Giacomin and F. L. Toninelli
    On the irrelevant disorder regime of pinning models
    Ann. Probab. 37 (2009), 1841-1875.
    Jstor arXiv
  40. G. Giacomin
    Renewal convergence rates and correlation decay for homogeneous pinning models
    Elect. J. Probab. 13 (2008), 513-529.
    Project Euclid arXiv
  41. G. Giacomin and F. L. Toninelli
    Force-induced depinning of directed polymers
    J. Phys. A 40 (2007), 5261-5275.
    IOPscience arXiv
  42. G. Giacomin
    Random Polymer Models
    Imperial College Press, World Scientific, 2007.
    World Scientific
  43. F. Caravenna, G. Giacomin and L. Zambotti
    Infinite volume limits of polymer chains with periodic charges
    Markov Proc. Rel. Fields 13 (2007), 697-730.
    arXiv
  44. F. Caravenna, G. Giacomin and L. Zambotti
    Sharp asymptotic behavior for wetting models in (1+1)-dimension
    Elect. J. Probab. 11 (2006), 345-362.
  45. G. Giacomin and F. L. Toninelli
    Smoothing of depinning transitions for directed polymers with quenched disorder
    Phys. Rev. Lett. 96 (2006), 070602.
  46. G. Giacomin and F. L. Toninelli
    The localized phase of disordered copolymers with adsorption
    ALEA-Latin American Journal of Probability and Mathematical Statistics 1 (2006), 149-180.
    arXiv+Alea
  47. F. Caravenna, G. Giacomin and L. Zambotti
    A renewal theory approach to periodic copolymers with adsorption
    Ann. Appl. Probab. 17 (2007), 1362-1398.
    Project Euclid arXiv
  48. G. Giacomin and F. L. Toninelli
    Smoothing effect of quenched disorder on polymer depinning transitions
    Comm. Math. Phys. 266 (2006), 1-16.
  49. F. Caravenna, G. Giacomin and M. Gubinelli
    A numerical approach to copolymers at selective interfaces
    J. Statist. Phys. 122 (2006), 799-832.
  50. F. Caravenna and G.Giacomin
    On constrained annealed bounds for pinning and wetting models
    Elect. Comm. Probab. 10 (2005), 179-189.
    Old title and somewhat different proof: On constrained annealed bounds for linear chain pinning models (preprint 2005).
  51. G.Giacomin and F. L. Toninelli
    Estimates on path delocalization for copolymers at selective interfaces
    Probab. Theory Rel. Fields 133 (2005), 464-482.
  52. T. Bodineau and G.Giacomin
    On the localization transition of random copolymers near selective interfaces
    J. Statist. Phys. 117 (2004), 17-34.
  53. J.-D. Deuschel, G.Giacomin and L. Zambotti
    Scaling limits of equilibrium wetting models in (1+1)-dimension
    Probab. Theory Rel. Fields 132 (2005), 471-500.
  54. E. Bolthausen and G. Giacomin
    Periodic copolymers at selective interfaces: a large deviations approach
    Ann. Appl. Probab. 15 (2005), 963-983.
  55. G. Giacomin
    Localization phenomena in random polymer models
    Notes for the courses given in Pisa (Centro De Giorgi, January 2003) and in the graduate school of Paris 6 (Spring 2003).
  56. D. Bertacchi and G. Giacomin
    On the repulsion of an interface above a correlated substrate
    6th Brazilian School of Probability, Bull. Braz. Math. Soc., New Series 34 (2003), 401-415.
  57. D. Bertacchi and G. Giacomin
    Wall repulsion and mutual interface repulsion: an harmonic crystal model in high dimensions
    Stoch. Proc. Appl. 110 (2004), 45-66.
  58. T. Bodineau and G. Giacomin
    From dynamic to static large deviations in boundary driven exclusion particle systems
    Stoch. Proc. Appl. 110 (2004), 67-81.
  59. G. Giacomin
    Aspects of statistical mechanics of random surfaces
    Notes of the lectures given at IHP, fall 2001 (revised version , November 2002)
    PDF file
  60. D. Bertacchi and G. Giacomin
    Enhanced interface repulsion from quenched hard-wall randomness
    Probab. Theory Rel. Fields, 124 (2002), 487-516.
  61. G. Giacomin
    On stochastic domination in the Brascamp-Lieb framework
    Math. Proc. Cambridge Phil. Soc. 134 (2003), 507-514.
  62. G. Giacomin and G. Posta
    On recurrent and transient sets of inhomogeneous symmetric random walks
    Elect. Comm. Probab. 6 (2001), 39-53.
  63. T. Bodineau, G. Giacomin and Y. Velenik
    On entropic reduction of fluctuations
    J. Statist. Phys. 102 (2001), 1439-1445.
  64. G. Giacomin
    Limit theorems for random interfaces of Ginzburg-Landau type
    Stochastic partial differential equations and applications (Trento, 2002), 235-253, Lecture Notes in Pure and Appl. Math., 227, Dekker, New York, 2002.
  65. E. Bolthausen, J.-D. Deuschel and G. Giacomin
    Entropic repulsion and the maximum of the two dimensional free field
    Ann. Probab. 29 (2001), 1670-1692.
  66. G. Giacomin, S. Olla and H. Spohn
    Equilibrium fluctuations for ∇φ interface model
    Ann. Probab. 29 (2001), 1138-1172.
  67. G. Giacomin
    Anharmonic lattices, random walks and random interfaces
    Recent research developments in statistical physics, vol. I, Transworld research network (2000), 97-118.
  68. G. Giacomin, J.L. Lebowitz and R. Marra
    Macroscopic evolution of particle systems with short- and long-range interactions
    Nonlinearity 13 (2000), 2143-2162.
  69. J.-D. Deuschel and G. Giacomin
    Entropic repulsion for massless fields Stoch. Proc. Appl. 89 (2000), 333-354.
  70. J.-D. Deuschel, G. Giacomin and D. Ioffe, Large deviations and concentration properties for $\nabla \varphi$ interface models
    Probab. Theory Rel. Fields 117 (2000), 49-111.
  71. J.-D. Deuschel and G. Giacomin
    Entropic repulsion for the free field: pathwise behavior in d≥3
    Comm. Math. Phys. 206 (1999), 447-462
  72. F. Comets, G. Giacomin and J. L. Lebowitz
    The Sherrington-Kirkpatrick model with short range ferromagnetic interactions
    C. R. Acad. Sci. Paris Ser. I Math. 328 (1999), 57-62.
  73. L. Bertini and G. Giacomin
    On the long time behavior of the stochastic heat equation
    Probab. Theory Rel. Fields 144 (1999), 279-289.
  74. G. Giacomin, J. L. Lebowitz and E. Presutti
    Deterministic and stochastic hydrodynamic equations arising from simple microscopic model systems Stochastic partial differential equations: six perspectives
    Math. Surveys Monogr. AMS (RI), 64 (1999), 107-152.
  75. A. Asselah and G. Giacomin
    Metastability for the exclusion process with mean field interactions
    J. Statist. Phys. 93 (1998), 1051-1110.
  76. G. Giacomin and J. L. Lebowitz
    Phase segregation dynamics in particle systems with long range interactions II: interface motion
    SIAM J. Appl. Math., 58 (1998), 1707-1729.
  77. G. Giacomin and J. L. Lebowitz
    Phase segregation dynamics in particle systems with long range interactions I: macroscopic limits
    J. Statist. Phys. 87 (1997), 37-61.
  78. L. Bertini and G. Giacomin
    Stochastic Burgers and KPZ equations from particle systems
    Comm. Math. Phys. 183 (1997), 571-607.
  79. G. Giacomin and J. L. Lebowitz
    Exact macroscopic description of phase segregation in model alloys with long range interactions
    Phys. Rev. Lett. 76(7) (1996), 1094-1097.
  80. G. Giacomin
    Interacting particle models for phase segregation and motion of interfaces
    PhD Thesis, Math Dept., Rutgers University (May 1995).
  81. G. Giacomin, J. L. Lebowitz and C.Maes
    Agreement percolation and phase coexistence in some Gibbs Systems
    J. Statist. Phys., 80 (1995), 1379-1403.
  82. G. Giacomin
    Onset and structure of interfaces in a Kawasaki+Glauber interacting particle system
    Probab. Theory Rel. Fields 103 (1995), 1-24.
  83. G. Giacomin
    Phase Separation and Random Domain Patterns in a stochastic particle model
    Stoch. Proc. Appl. 51 (1994), 25-62.
  84. G. Giacomin
    Van der Waals limit and phase separation in a particle model with Kawasaki dynamics
    J. Statist. Phys., 65 (1991), 217-23.