[[users:giacomin:index|Back to main page]] ====== 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** \\ [[https://arxiv.org/abs/2401.03927|arXiv:2401.03927]] \\ --- - O. Collin, G. Giacomin and Y. Hu\\ **Infinite disorder renormalization fixed point for the continuum random field Ising chain** \\ [[https://arxiv.org/abs/2305.12413|arXiv:2305.12413]], Probab. Theory Related Fields (to appear) \\ --- - 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. \\ [[https://rdcu.be/cPlz0|SpringerNature SharedIt]] + [[https://link.springer.com/article/10.1007/s11040-022-09428-3|SpringerLink]] + [[https://arxiv.org/abs/2107.11804|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. \\ [[https://alea.impa.br/articles/v19/19-27.pdf|Alea]] + [[https://arxiv.org/abs/2105.00018|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 \\ [[https://link.springer.com/epdf/10.1007/s10955-020-02653-6?sharing_token=-0blPWQQi_JcJvgFZa-irve4RwlQNchNByi7wbcMAY7XnSfnLGyRVFfxWS-GlJONY8BC0s-oEkpiRJv8KxAbspvZLHV19gRbB8AaQ1Ft_p7OLzIyDqr37BQNYi4_FCNkPKK0BfreA653YG4OBffKlrUus37e957zxcDJWKfp_h8%3D|Springer Nature SharedIt ]] + [[https://arxiv.org/abs/2003.05140|arXiv:2003.05140]] \\ --- - G. Giacomin and H. Lacoin \\ **The disordered lattice free field pinning model approaching criticality** \\ Ann. Probab. 50 (2022), 1478-1537. \\ [[http://dx.doi.org/10.1214/22-AOP1566|Project Euclid]] + [[https://arxiv.org/abs/1912.10538|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. \\ [[https://ahl.centre-mersenne.org/item/AHL_2020__3__299_0/|AHL-Mersenne]] [[https://arxiv.org/abs/1807.11397|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) \\ [[https://dx.doi.org/10.1142/S0219493720500100|World Scientific]]+[[https://arxiv.org/abs/1807.10921|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. \\ [[https://link.springer.com/article/10.1007/s00220-019-03466-9?wt_mc=Internal.Event.1.SEM.ArticleAuthorAssignedToIssue&utm_source=ArticleAuthorAssignedToIssue&utm_medium=email&utm_content=AA_en_06082018&ArticleAuthorAssignedToIssue_20190608|Springer Link]] [[https://arxiv.org/abs/1712.09373|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 \\ [[https://link.springer.com/article/10.1007%2Fs00440-018-0870-9|Springer Link]] [[http://em.rdcu.be/wf/click?upn=lMZy1lernSJ7apc5DgYM8e41a41vkQHgFPy72WVxiPA-3D_XFtcxKqpjLduppASEXnk5K2kvtPi7-2Fi97XoxYn-2BdAKXpJSE-2FJTNsLJttWfRfvKhQ7mj-2B85NZQP783uJ1y3Anq-2B2SoupuY5Wm4q7S-2BulMeKOlxBLnYSZ9R5WzW6akhVeO-2BncbvLfofBM1jq-2BIYoP5nZARnUIueCD4srm3JoncP4gzSiPM0P1FlfLrgF5MKH1dvmBcQQ1FVZ1QarBEGEr788KMH-2FWtwXACGedJrjgkbixWtbeao04aKGDD1FQSzFYaQk4x6gtyIHzkbEYjVYbB185i4cTGhxWPG-2BkmIxBYiYw-3D|Springer Nature SharedIt]] [[https://arxiv.org/abs/1712.02261|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.\\ [[http://alea.impa.br/articles/v15/15-37.pdf|ALEA]] [[https://arxiv.org/abs/1703.10343|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\\ [[http://link.springer.com/article/10.1007%2Fs10955-016-1652-3|Springer Link]] [[http://em.rdcu.be/wf/click?upn=KP7O1RED-2BlD0F9LDqGVeSOpVqwto6vqAnnaQ-2FnkqYTc-3D_XFtcxKqpjLduppASEXnk5K2kvtPi7-2Fi97XoxYn-2BdAKXpJSE-2FJTNsLJttWfRfvKhQPj0fWXWEeUCJDnoGjNgw-2BxYeqF3ZiqxpP9NQnsj0FNamHvUwvqNYoiYUVbZBl-2FjTRguWObC1IV5WITRnUjCT2bU64yIBd7nbo6u-2BoABAX5GGT-2F1eakf9hL1R6-2BuUH9SMGmhWq9YAdo0qZ-2FdeRN-2FOtrjcJtoWnv9p1-2BV8ENgzaQVnlHr-2Fd1oxmT9qaDYiaB5a|Springer Nature SharedIt]] [[https://arxiv.org/abs/1607.05224|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 \\ [[https://projecteuclid.org/euclid.aoap/1520046095|Project Euclid]][[https://arxiv.org/abs/1607.03859|arXiv: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. \\ [[http://link.springer.com/article/10.1007/s00220-017-2855-4?wt_mc=Internal.Event.1.SEM.ArticleAuthorOnlineFirst|Springer Link]] [[http://www.readcube.com/articles/10.1007/s00220-017-2855-4?author_access_token=hK7TY6C7ej4NoC4QPEhi3Pe4RwlQNchNByi7wbcMAY5GpRgDaYtRLSgQ0lc4lrlwAdtEGA-aE7DaFG3R-BQ7lA4AESd3t1GpMSxdtx_EyaDXhuD5IkTHFLsqIDl12Oux1P31lKKN8qrDK16M52ykQw%3D%3D|Springer Nature SharedIt]] [[http://arxiv.org/abs/1602.03633|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.\\ [[https://www.sciencedirect.com/science/article/pii/S0022039617305089?via%3Dihub|Science Direct]] [[http://arxiv.org/abs/1512.04436|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. \\ [[http://dx.doi.org/10.1016/j.spa.2016.06.017|Science Direct]] [[http://arxiv.org/abs/1510.07996|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. \\ [[http://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=20&iss=1&rank=8|EMS Publishing House]] [[http://arxiv.org/abs/1501.07909|arXiv:1501.07909]] \\ --- - B. Fernandez, D. Gérard-Varet and G. Giacomin\\ **Landau damping in the Kuramoto model**\\ Annales Henri Poincaré 17 (2016), 1793-1823.\\ [[http://link.springer.com/article/10.1007/s00023-015-0450-9|Springer Link]] [[http://arxiv.org/abs/1410.6006|arXiv]] \\ --- - G. Giacomin and C. Poquet\\ **Noise, interaction, nonlinear dynamics and the origin of rhythmic behaviors**\\ Braz. J. Probab. Stat. 29 (2015), 460-493.\\ [[https://projecteuclid.org/euclid.bjps/1429105598|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.\\ [[https://projecteuclid.org/euclid.bj/1438777593|Project Euclid]] [[http://arxiv.org/abs/1307.4255|arXiv]] \\ --- - B. Derrida and G. Giacomin\\ **Log-periodic critical amplitudes: a perturbative approach**\\ J. Statist. Phys. 154 (2014), 286-304.\\ [[http://link.springer.com/article/10.1007/s10955-013-0774-0|Springer Link]] [[http://arxiv.org/abs/1303.5971|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.\\ [[http://link.springer.com/article/10.1007/s00440-013-0536-6|Springer Link]] [[http://arxiv.org/abs/1209.4537|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.\\ [[http://link.springer.com/chapter/10.1007%2F978-3-319-02657-2_3|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.\\ [[http://link.springer.com/article/10.1007%2Fs10955-012-0609-4|Springer Link]][[http://arxiv.org/abs/1206.1468|arXiv]] \\ --- - 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.\\ [[http://link.springer.com/article/10.1007/s10884-014-9370-5|Springer Link]] [[http://arxiv.org/abs/1111.3581|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.\\ [[http://iopscience.iop.org/article/10.1088/0951-7715/25/5/1247/meta;jsessionid=67E2BC661ADFED7FE96C69916AB9DA8B.c1.iopscience.cld.iop.org|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.\\ [[http://epubs.siam.org/doi/abs/10.1137/110846452|SIAM epubs]] [[http://www.proba.jussieu.fr/pageperso/giacomin/pub/84645.pdf|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.\\ [[http://link.springer.com/book/10.1007%2F978-3-642-21156-0#section=924847&page=1}|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.\\ [[http://link.springer.com/chapter/10.1007%2F978-3-642-23811-6_12|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.\\ [[http://link.springer.com/article/10.1007%2Fs10955-009-9908-9|Springer Link]] [[http://arxiv.org/abs/0911.1499|ArXiv]] \\ --- - F. Caravenna and G. Giacomin\\ **The weak coupling limit of disordered copolymer models**\\ Ann. Probab. 38 (2010), 2322-2378.\\ [[http://projecteuclid.org/euclid.aop/1285334208|Project Euclid]] [[http://arxiv.org/abs/0907.5076|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.\\ [[http://projecteuclid.org/euclid.aihp/1294170234|Projet Euclid]] [[http://arxiv.org/abs/0906.1942|arXiv]] \\ --- - G. Giacomin, H. Lacoin and F. L. Toninelli\\ **Marginal relevance of disorder for pinning models**\\ Commun. Pure Appl. Math. 63 (2010), 233-265.\\ [[http://onlinelibrary.wiley.com/doi/10.1002/cpa.20301/abstract|Wiley Online Library]] [[http://arxiv.org/abs/0811.0723|arXiv]] \\ --- - 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.\\ [[http://www.numdam.org/item?id=AIHPB_2010__46_1_97_0|Numdam]] [[https://arxiv.org/abs/0807.4232|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.\\ [[https://link.springer.com/chapter/10.1007/978-3-7643-9891-0_11|Springer Link]] [[https://arxiv.org/abs/0807.4285|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.\\ [[https://link.springer.com/article/10.1007/s10955-008-9579-y|Springer Link]] [[https://arxiv.org/abs/0803.1766|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. \\ [[https://link.springer.com/article/10.1007/s00220-009-0737-0|Springer Link]] [[https://arxiv.org/abs/0712.2515|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. \\ [[https://link.springer.com/article/10.1007/s00440-009-0205-y|Springer Link]] [[https://hal.archives-ouvertes.fr/hal-00202697|Hal]] \\ --- - G. Giacomin and F. L. Toninelli\\ **On the irrelevant disorder regime of pinning models**\\ Ann. Probab. 37 (2009), 1841-1875. \\ [[https://www.jstor.org/stable/30244342?seq=1#page_scan_tab_contents|Jstor]] [[https://arxiv.org/abs/0707.3340|arXiv]] \\ --- - G. Giacomin\\ **Renewal convergence rates and correlation decay for homogeneous pinning models**\\ Elect. J. Probab. 13 (2008), 513-529.\\ [[https://projecteuclid.org/euclid.ejp/1464819091|Project Euclid]] [[https://arxiv.org/abs/0706.0341|arXiv]] \\ --- - G. Giacomin and F. L. Toninelli\\ **Force-induced depinning of directed polymers**\\ J. Phys. A 40 (2007), 5261-5275. \\ [[https://iopscience.iop.org/article/10.1088/1751-8113/40/20/003/metam|IOPscience]] [[https://arxiv.org/abs/cond-mat/0610663|arXiv]] \\ --- - G. Giacomin\\ **Random Polymer Models**\\ Imperial College Press, World Scientific, 2007.\\ [[http://www.worldscientific.com/worldscibooks/10.1142/p504|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.\\ [[https://arxiv.org/abs/math/0604426|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. \\ [[https://arxiv.org/pdf/math/0510047.pdf|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. \\ [[https://projecteuclid.org/euclid.aoap/1186755243|Project Euclid]] [[https://arxiv.org/abs/math/0507178|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) \\ {{ :users:giacomin:ihp.pdf | 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. \\ ---