K. S. Alexander, The Effect of Disorder on Polymer Depinning Transitions, Communications in Mathematical Physics, vol.35, issue.1, pp.117-146, 2008.
DOI : 10.1007/s100510050016

K. S. Alexander and Q. Berger, Pinning of a renewal on a quenched renewal, Electronic Journal of Probability, vol.23, issue.0, p.pp, 2018.
DOI : 10.1214/18-EJP136

URL : https://hal.archives-ouvertes.fr/hal-01362825

K. S. Alexander and N. Zygouras, Quenched and Annealed Critical Points in Polymer Pinning Models, Communications in Mathematical Physics, vol.280, issue.4, pp.659-689, 2009.
DOI : 10.1142/p504

Q. Berger, Strong renewal theorems and local large deviations for multivariate random walks and renewals, preprint, 2018.

Q. Berger, Notes on random walks in the Cauchy domain of attraction, preprint: arXiv:1706

Q. Berger, G. Giacomin, and H. Lacoin, Disorder and critical phenomena: the ? = 0 copolymer model
URL : https://hal.archives-ouvertes.fr/hal-01659845

Q. Berger, G. Giacomin, and M. Khatib, DNA melting structures in the generalized Poland-Scheraga model

Q. Berger and H. Lacoin, Sharp critical behavior for pinning models in a random correlated environment , Stochastic Process, Appl, vol.122, pp.1397-1436, 2012.

Q. Berger and H. Lacoin, The Effect of Disorder on the Free-Energy for??the??Random Walk Pinning Model: Smoothing of??the??Phase Transition and Low Temperature Asymptotics, Journal of Statistical Physics, vol.63, issue.2, pp.42-322, 2011.
DOI : 10.1007/978-1-4684-6257-9

URL : https://hal.archives-ouvertes.fr/hal-01426338

Q. Berger and H. Lacoin, PINNING ON A DEFECT LINE: CHARACTERIZATION OF MARGINAL DISORDER RELEVANCE AND SHARP ASYMPTOTICS FOR THE CRITICAL POINT SHIFT, Journal of the Institute of Mathematics of Jussieu, vol.2025, issue.02, pp.1-42, 2016.
DOI : 10.1007/s004400050093

URL : https://hal.archives-ouvertes.fr/hal-01141691

Q. Berger and H. Lacoin, The high-temperature behavior for the directed polymer in dimension $1+2$, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.53, issue.1
DOI : 10.1214/15-AIHP721

URL : https://hal.archives-ouvertes.fr/hal-01170204

Q. Berger and J. Poisat, On the critical curve of the pinning and copolymer models in correlated Gaussian environment, Electron, J. Probab, vol.20, p.71, 2015.

Q. Berger and F. Toninelli, On the critical point of the Random Walk Pinning Model in dimension d = 3, Electron, J. Probab, vol.15, pp.654-683, 2010.

N. H. Bingham, C. M. Goldie, and J. L. Teugels, Regular variations, 1987.
DOI : 10.1017/CBO9780511721434

M. Birkner and R. Sun, Annealed vs quenched critical points for a random walk pinning model, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.46, issue.2, pp.414-441, 2010.
DOI : 10.1214/09-AIHP319

M. Birkner and R. Sun, Disorder relevance for the random walk pinning model in dimension 3, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.1, pp.259-293, 2011.
DOI : 10.1214/10-AIHP374

R. D. Blake and S. G. Delcourt, Thermal stability of DNA, Thermal stability of DNA, pp.3323-3332, 1998.
DOI : 10.1002/bip.360261204

R. D. Blake, J. W. Bizzaro, J. D. Blake, G. R. Day, S. Delcourt et al., Statistical Mechanical Simulation of Polymeric DNA Melting with MELTSIM Bioinformatics, vol.15, pp.370-375, 1999.

A. A. Borovkov and K. A. Borovkov, On probabilities of large deviations for random walks. I. Regularly varying distribution tails, Theory Probab, Appl, vol.46, pp.193-213, 2000.

R. Bundschuh and T. Hwa, Statistical mechanics of secondary structures formed by random RNA sequences, Physical Review E, vol.86, issue.3, p.31903, 2002.
DOI : 10.1103/PhysRevLett.86.830

D. Cheliotis, Y. Chino, and J. Poisat, The random pinning model with correlated disorder given by a renewal set
URL : https://hal.archives-ouvertes.fr/hal-01590623

F. Comets, Weak disorder for low dimensional polymers: the model of stable laws. Markov Process, Markov Process, pp.681-696, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00020875

D. Cule and T. Hwa, Denaturation of Heterogeneous DNA, Physical Review Letters, vol.51, issue.12, p.2375, 1997.
DOI : 10.1103/PhysRevE.51.4027

URL : http://arxiv.org/pdf/cond-mat/9701117

F. Caravenna and F. Hollander, A general smoothing inequality for disordered polymers, Electronic Communications in Probability, vol.18, issue.0, pp.1-15, 2013.
DOI : 10.1214/ECP.v18-2874

URL : http://doi.org/10.1214/ecp.v18-2874

F. Caravenna, F. L. Toninelli, and N. Torri, Universality for the pinning model in the weak coupling regime, The Annals of Probability, vol.45, issue.4, pp.2154-2209, 2017.
DOI : 10.1214/16-AOP1109

URL : https://hal.archives-ouvertes.fr/hal-01154945

B. Derrida, G. Giacomin, H. Lacoin, and F. L. Toninelli, Fractional Moment Bounds and Disorder Relevance for Pinning Models, Communications in Mathematical Physics, vol.18, issue.3, pp.867-887, 2009.
DOI : 10.1142/p504

URL : https://hal.archives-ouvertes.fr/hal-00202700

B. Derrida and M. Retaux, The Depinning Transition in Presence of Disorder: A Toy Model, Journal of Statistical Physics, vol.18, issue.2, pp.268-290, 2014.
DOI : 10.1214/07-AAP496

T. R. Einert, H. Orland, and R. R. Netz, Secondary structure formation of homopolymeric single-stranded nucleic acids including force and loop entropy: Implications for DNA hybridization, The European Physical Journal E, vol.69, issue.6, p.55, 2011.
DOI : 10.1088/0034-4885/69/5/R04

M. E. Fisher, Walks, walls, wetting, and melting, Journal of Statistical Physics, vol.32, issue.50, pp.667-729, 1984.
DOI : 10.1051/jphys:01981004205065700

T. Garel and H. Orland, On the role of mismatches in DNA denaturation, arXiv:cond-mat, p.304080

T. Garel and H. Orland, Generalized Poland-Scheraga model for DNA hybridization, Biopolymers, vol.65, issue.6, pp.453-467, 2004.
DOI : 10.1002/bip.20140

URL : http://arxiv.org/pdf/q-bio/0402037

G. Giacomin, Random polymer models, World Scientific, 2007.
DOI : 10.1142/p504

URL : https://hal.archives-ouvertes.fr/hal-00155080

G. Giacomin, Renewal convergence rates and correlation decay for homogeneous pinning models Elec, Jour. Probab, vol.13, pp.513-529, 2008.
DOI : 10.1214/ejp.v13-497

URL : https://doi.org/10.1214/ejp.v13-497

G. Giacomin, Disorder and critical phenomena through basic probability models, ´ Ecole d'´ eté de probablités de Saint-Flour XL-2010, Lecture Notes in Mathematics, 2011.
DOI : 10.1007/978-3-642-21156-0

URL : https://link.springer.com/content/pdf/bfm%3A978-3-642-21156-0%2F1.pdf

G. Giacomin and M. Khatib, Generalized Poland???Scheraga denaturation model and two-dimensional renewal processes, Stochastic Processes and their Applications, vol.127, issue.2, pp.526-573, 2017.
DOI : 10.1016/j.spa.2016.06.017

URL : https://hal.archives-ouvertes.fr/hal-01361730

G. Giacomin, H. Lacoin, and F. L. Toninelli, Hierarchical pinning models, quadratic maps and quenched disorder, Probability Theory and Related Fields, vol.18, issue.1-2, pp.185-216, 2010.
DOI : 10.1142/p504

URL : https://hal.archives-ouvertes.fr/hal-00202697

G. Giacomin, H. Lacoin, and F. L. Toninelli, Marginal relevance of disorder for pinning models, Communications on Pure and Applied Mathematics, vol.14, issue.20, pp.233-265, 2010.
DOI : 10.1214/EJP.v14-612

URL : https://hal.archives-ouvertes.fr/hal-00338985

G. Giacomin, H. Lacoin, and F. L. Toninelli, Disorder relevance at marginality and critical point shift, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.1, pp.148-175, 2011.
DOI : 10.1214/10-AIHP366

URL : https://hal.archives-ouvertes.fr/hal-00560927

G. Giacomin and F. L. Toninelli, Smoothing Effect of Quenched Disorder on Polymer Depinning Transitions, Communications in Mathematical Physics, vol.46, issue.1, pp.1-16, 2006.
DOI : 10.1007/s100510050016

URL : https://hal.archives-ouvertes.fr/hal-00015489

G. Giacomin and F. L. Toninelli, The localized phase of disordered copolymers with adsorption, ALEA- Latin American Journal of Probability and Mathematical Statistics, vol.1, pp.149-180, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00086236

F. Hollander, Random polymers, Lectures from the 37th Probability Summer School held in Saint-Flour, Lecture Notes in Mathematics, 1974.

J. Hunter, Renewal theory in two-dimensions: asymptotic results, Advances in Applied Probability, vol.6, p.546562, 1974.
DOI : 10.2307/1426233

Y. Kafri and D. , Griffiths Singularities in Unbinding of Strongly Disordered Polymers, Physical Review Letters, vol.12, issue.5, pp.91-038103, 2003.
DOI : 10.1063/1.3062516

URL : http://arxiv.org/pdf/cond-mat/0211473

M. Khatib, Le modèle de Poland-Scheraga généralisé/une approche de renouvellement bidimensionel pour la dénaturation de l'ADN, 2016.

H. Kunz and R. Livi, DNA denaturation and wetting in the presence of disorder, EPL (Europhysics Letters), vol.99, issue.3, p.30001, 2012.
DOI : 10.1209/0295-5075/99/30001

H. Lacoin, New Bounds for the Free Energy of Directed Polymers in Dimension 1??+??1 and 1??+??2, Communications in Mathematical Physics, vol.134, issue.3/4, pp.471-503, 2010.
DOI : 10.1007/s00220-009-0957-3

URL : https://hal.archives-ouvertes.fr/hal-00361863

H. Lacoin, The Martingale approach to disorder irrelevance for pinning models, Electronic Communications in Probability, vol.15, issue.0, pp.418-427, 2010.
DOI : 10.1214/ECP.v15-1572

URL : https://doi.org/10.1214/ecp.v15-1572

J. B. , Martin Linear growth for greedy lattice animals, Stochastic Process, Appl, vol.98, pp.43-66, 2002.

R. A. Neher and U. Gerland, Intermediate phase in DNA melting, Physical Review E, vol.27, issue.3, p.30902, 2006.
DOI : 10.1529/biophysj.105.068866

C. Peng, S. V. Buldyrev, A. L. Goldberger, S. Havlin, F. Sciortino et al., Long-range correlations in nucleotide sequences, Nature, vol.356, issue.6365, pp.168-170, 1992.
DOI : 10.1038/356168a0

I. F. Pinelis, A problem on large deviations in a space of trajectories, Theory Probab, Appl, vol.26, pp.69-84, 1981.

D. Poland and H. A. Scheraga, Theory of helix-coil transitions in biopolymers;: Statistical mechanical theory of order-disorder transitions in biological macromolecules, 1970.

S. Shneer and V. Wachtel, A unified approach to the heavy-traffic analysis of the maximum of random walks, Theory Probab, Appl, vol.55, pp.332-341, 2011.

M. V. Tamm and S. K. Nechaev, Unzipping of two random heteropolymers: Ground-state energy and finite-size effects, Physical Review E, vol.215, issue.1, p.11903, 2008.
DOI : 10.1103/PhysRevE.75.011904

URL : https://hal.archives-ouvertes.fr/hal-00351856

F. L. Toninelli, A Replica-Coupling Approach to Disordered Pinning Models, Communications in Mathematical Physics, vol.163, issue.1, pp.389-401, 2008.
DOI : 10.1142/p504

F. Watbled, Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment, Electronic Communications in Probability, vol.17, issue.0, pp.1-9, 2012.
DOI : 10.1214/ECP.v17-2221

URL : https://hal.archives-ouvertes.fr/hal-00723044

R. Wei, On the Long-Range Directed Polymer Model, Journal of Statistical Physics, vol.138, issue.3???4, pp.320-350, 2016.
DOI : 10.1007/s00440-006-0030-5