Publications / Preprints (G. Giacomin)
Copyright for the published version is with the publishers of the respective journal
- O. Collin, G. Giacomin and Y. Hu
The random field Ising chain domain-wall structure in the large interaction limit
arXiv:2401.03927
— - O. Collin, G. Giacomin and Y. Hu
Infinite disorder renormalization fixed point for the continuum random field Ising chain
arXiv:2305.12413
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - B. Fernandez, D. Gérard-Varet and G. Giacomin
Landau damping in the Kuramoto model
Annales Henri Poincaré 17 (2016), 1793-1823.
Springer Link arXiv
— - 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
— - 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
— - B. Derrida and G. Giacomin
Log-periodic critical amplitudes: a perturbative approach
J. Statist. Phys. 154 (2014), 286-304.
Springer Link arXiv
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - F. Caravenna and G. Giacomin
The weak coupling limit of disordered copolymer models
Ann. Probab. 38 (2010), 2322-2378.
Project Euclid ArXiv
— - 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
— - 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
— - 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
— - 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
— - 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
— - 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
— - G. Giacomin
Renewal convergence rates and correlation decay for homogeneous pinning models
Elect. J. Probab. 13 (2008), 513-529.
Project Euclid arXiv
— - G. Giacomin and F. L. Toninelli
Force-induced depinning of directed polymers
J. Phys. A 40 (2007), 5261-5275.
IOPscience arXiv
— - G. Giacomin
Random Polymer Models
Imperial College Press, World Scientific, 2007.
World Scientific
— - 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
— - F. Caravenna, G. Giacomin and L. Zambotti
Sharp asymptotic behavior for wetting models in (1+1)-dimension
Elect. J. Probab. 11 (2006), 345-362.
— - G. Giacomin and F. L. Toninelli
Smoothing of depinning transitions for directed polymers with quenched disorder
Phys. Rev. Lett. 96 (2006), 070602.
— - 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
— - 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
— - G. Giacomin and F. L. Toninelli
Smoothing effect of quenched disorder on polymer depinning transitions
Comm. Math. Phys. 266 (2006), 1-16.
— - F. Caravenna, G. Giacomin and M. Gubinelli
A numerical approach to copolymers at selective interfaces
J. Statist. Phys. 122 (2006), 799-832.
— - 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).
— - G.Giacomin and F. L. Toninelli
Estimates on path delocalization for copolymers at selective interfaces
Probab. Theory Rel. Fields 133 (2005), 464-482.
— - T. Bodineau and G.Giacomin
On the localization transition of random copolymers near selective interfaces
J. Statist. Phys. 117 (2004), 17-34.
— - 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.
— - E. Bolthausen and G. Giacomin
Periodic copolymers at selective interfaces: a large deviations approach
Ann. Appl. Probab. 15 (2005), 963-983.
— - 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).
— - 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.
— - 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.
— - T. Bodineau and G. Giacomin
From dynamic to static large deviations in boundary driven exclusion particle systems
Stoch. Proc. Appl. 110 (2004), 67-81.
— - G. Giacomin
Aspects of statistical mechanics of random surfaces
Notes of the lectures given at IHP, fall 2001 (revised version , November 2002)
PDF file
— - D. Bertacchi and G. Giacomin
Enhanced interface repulsion from quenched hard-wall randomness
Probab. Theory Rel. Fields, 124 (2002), 487-516.
— - G. Giacomin
On stochastic domination in the Brascamp-Lieb framework
Math. Proc. Cambridge Phil. Soc. 134 (2003), 507-514.
— - G. Giacomin and G. Posta
On recurrent and transient sets of inhomogeneous symmetric random walks
Elect. Comm. Probab. 6 (2001), 39-53.
— - T. Bodineau, G. Giacomin and Y. Velenik
On entropic reduction of fluctuations
J. Statist. Phys. 102 (2001), 1439-1445.
— - 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.
— - 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.
— - G. Giacomin, S. Olla and H. Spohn
Equilibrium fluctuations for ∇φ interface model
Ann. Probab. 29 (2001), 1138-1172.
— - G. Giacomin
Anharmonic lattices, random walks and random interfaces
Recent research developments in statistical physics, vol. I, Transworld research network (2000), 97-118.
— - G. Giacomin, J.L. Lebowitz and R. Marra
Macroscopic evolution of particle systems with short- and long-range interactions
Nonlinearity 13 (2000), 2143-2162.
— - J.-D. Deuschel and G. Giacomin
Entropic repulsion for massless fields Stoch. Proc. Appl. 89 (2000), 333-354.
— - 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.
— - J.-D. Deuschel and G. Giacomin
Entropic repulsion for the free field: pathwise behavior in d≥3
Comm. Math. Phys. 206 (1999), 447-462
— - 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.
— - L. Bertini and G. Giacomin
On the long time behavior of the stochastic heat equation
Probab. Theory Rel. Fields 144 (1999), 279-289.
— - 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.
— - A. Asselah and G. Giacomin
Metastability for the exclusion process with mean field interactions
J. Statist. Phys. 93 (1998), 1051-1110.
— - 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.
— - 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.
— - L. Bertini and G. Giacomin
Stochastic Burgers and KPZ equations from particle systems
Comm. Math. Phys. 183 (1997), 571-607.
— - 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.
— - G. Giacomin
Interacting particle models for phase segregation and motion of interfaces
PhD Thesis, Math Dept., Rutgers University (May 1995).
— - G. Giacomin, J. L. Lebowitz and C.Maes
Agreement percolation and phase coexistence in some Gibbs Systems
J. Statist. Phys., 80 (1995), 1379-1403.
— - G. Giacomin
Onset and structure of interfaces in a Kawasaki+Glauber interacting particle system
Probab. Theory Rel. Fields 103 (1995), 1-24.
— - G. Giacomin
Phase Separation and Random Domain Patterns in a stochastic particle model
Stoch. Proc. Appl. 51 (1994), 25-62.
— - G. Giacomin
Van der Waals limit and phase separation in a particle model with Kawasaki dynamics
J. Statist. Phys., 65 (1991), 217-23.
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