This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.
K. S. Alexander , The effect of disorder on polymer depinning transitions, Comm. Math. Phys.
279 (2008), 117–146.
K. Alexander and V. Sidoravicius , Pinning of polymers and interfaces by random potentials, Ann. Appl. Probab.
16 (2006), 636–669.
K. S. Alexander and N. Zygouras , Quenched and annealed critical points in polymer pinning models, Comm. Math. Phys.
291 (2009), 659–689.
K. S. Alexander and N. Zygouras , Equality of critical points for polymer depinning transitions with loop exponent one, Ann. Appl. Probab.
20 (2010), 356–366.
K. S. Alexander and N. Zygouras , Path properties of the disordered pinning model in the delocalized regime, Ann. Appl. Probab.
24 (2014), 599–615.
Q. Berger , Pinning model in random correlated environment: appearance of an infinite disorder regime, J. Stat. Phys.
155 (2014), 544–570.
Q. Berger , F. Caravenna , J. Poisat , R. Sun and N. Zygouras , The critical curve of the random pinning and copolymer models at weak coupling, Comm. Math. Phys.
326 (2014), 507–530.
Q. Berger and H. Lacoin , Sharp critical behavior for pinning models in a random correlated environment, Stochastic Process. Appl.
122 (2012), 1397–1436.
Q. Berger and F. L. Toninelli , On the critical point of the random walk pinning model in dimension d = 3, Electron. J. Probab.
15 (2010), 654–683.
S. M. Bhattacharjee and S. Mukherji , Directed polymers with random interaction - Marginal relevance and novel criticality, Phys. Rev. Lett.
70 (1993), 49–52.
M. Birkner and R. Sun , Annealed vs quenched critical points for a random walk pinning model, Ann. Inst. Henri Poincaré Probab. Stat.
46 (2010), 414–441.
M. Birkner and R. Sun , Disorder relevance for the random walk pinning model in dimension 3, Ann. Inst. Henri Poincaré Probab. Stat.
47 (2011), 259–293.
T. Bodineau , G. Giacomin , H. Lacoin and F. L. Toninelli , Copolymers at selective interfaces: new bounds on the phase diagram, J. Stat. Phys.
132 (2008), 603–626.
F. Caravenna and F. den Hollander , A general smoothing inequality for disordered polymers, Electron. Commun. Probab.
18(76) (2013), 1–15.
D. Cheliotis and F. den Hollander , Variational characterization of the critical curve for pinning of random polymers, Ann. Probab.
41 (2013), 1767–1805.
D. Cule and T. Hwa , Denaturation of heterogeneous DNA, Phys. Rev. Lett.
79 (1997), 2375–2378.
B. Derrida , V. Hakim and J. Vannimenus , Effect of disorder on two-dimensional wetting, J. Stat. Phys.
66 (1992), 1189–1213.
B. Derrida , G. Giacomin , H. Lacoin and F. L. Toninelli , Fractional moment bounds and disorder relevance for pinning models, Comm. Math. Phys.
287 (2009), 867–887.
B. Derrida and M. Retaux , The depinning transition in presence of disorder: a toy model, J. Stat. Phys.
156 (2014), 268–290.
R. A. Doney , One-sided local large deviation and renewal theorems in the case of infinite mean, Probab. Theory Related Fields
107 (1997), 451–465.
M. E. Fisher , Walks, walls, wetting, and melting, J. Stat. Phys.
34 (1984), 667–729.
G. Forgacs , J. M. Luck , Th. M. Nieuwenhuizen and H. Orland , Wetting of a disordered substrate: exact critical behavior in two dimensions, Phys. Rev. Lett.
57 (1986), 2184–2187.
D. M. Gangardt and S. K. Nechaev , Wetting transition on a one-dimensional disorder, J. Stat. Phys.
130 (2008), 483–502.
G. Giacomin , Random Polymer Models (Imperial College Press, World Scientific, London, 2007).
G. Giacomin , H. Lacoin and F. L. Toninelli , Hierarchical pinning models, quadratic maps and quenched disorder, Probab. Theory Related Fields
147 (2010), 185–216.
G. Giacomin , H. Lacoin and F. L. Toninelli , Marginal relevance of disorder for pinning models, Comm. Pure Appl. Math.
63 (2010), 233–265.
G. Giacomin , H. Lacoin and F. L. Toninelli , Disorder relevance at marginality and critical point shift, Ann. Inst. Henri Poincaré Probab. Stat.
47 (2011), 148–175.
G. Giacomin and F. L. Toninelli , Smoothing effect of quenched disorder on polymer depinning transitions, Comm. Math. Phys.
266 (2006), 1–16.
G. Giacomin and F. L. Toninelli , On the irrelevant disorder regime of pinning models, Ann. Probab.
37 (2009), 1841–1875.
A. B. Harris , Effect of random defects on the critical behaviour of Ising models, J. Phys. C
7 (1974), 1671–1692.
Y. Kafri and D. Mukamel , Griffiths singularities in unbinding of strongly disordered polymers, Phys. Rev. Lett.
91 (2003), 038103.
H. Kunz and R. Livi , DNA denaturation and wetting in the presence of disorder, Eur. Phys. Lett.
99 (2012), 30001.
H. Lacoin , Hierarchical pinning model with site disorder: disorder is marginally relevant, Probab. Theory Related Fields
148 (2010), 159–175.
H. Lacoin , New bounds for the free energy of directed polymers in dimension 1 + 1 and 1 + 2, Comm. Math. Phys.
294 (2010), 471–503.
H. Lacoin , The martingale approach to disorder irrelevance for pinning models, Electron. Commun. Probab.
15 (2010), 418–427.
H. Lacoin , Non-coincidence of quenched and annealed connective constants on the supercritical planar percolation cluster, Probab. Theory Related Fields
159 (2014), 777–808.
C. Monthus , Random walks and polymers in the presence of quenched disorder, Lett. Math. Phys.
78 (2006), 207–233.
C. Monthus and T. Garel , Multifractal statistics of the local order parameter at random critical points: application to wetting transitions with disorder, Phys. Rev. E
76 (2007), 021114.
M. Nakashima , A remark on the bound for the free energy of directed polymers in random environment in 1 + 2 dimension, J. Math. Phys.
55 (2014), 093304.
J. Poisat , Random pinning model with finite range correlations: disorder relevant regime, Stochastic Process. Appl.
122 (2012), 3560–3579.
L. H. Tang and H. Chaté , Rare-event induced binding transition of heteropolymers, Phys. Rev. Lett.
86 (2001), 830–833.
F. L. Toninelli , A replica-coupling approach to disordered pinning models, Comm. Math. Phys.
280 (2008), 389–401.
F. L. Toninelli , Disordered pinning models and copolymers: beyond annealed bounds, Ann. Appl. Probab.
18 (2008), 1569–1587.
N. Zygouras , Strong disorder in semidirected random polymers, Ann. Inst. Henri Poincaré Probab. Stat.
49 (2013), 753–780.
A. Yilmaz and O. Zeitouni , Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three, Comm. Math. Phys.
300 (2010), 243–271.