Bibliographic Complements

X exp(p(/ )A ), knowing the radius of convergence is equivalent to knowing the free energy. In [Fisher (1984)] and in the physical papers cited therein there are then ingenious arguments to extract more information on the properties of the system. We take instead a renewal theory approach ([Feller (1971)], [Asmussen (2003)]) and aim directly for the asymptotic behavior of Z f this yields naturally estimates that go well beyond catching 

The literature on DNA denaturation and Poland-Scheraga models is extremely vast, including various review articles, see in particular [Richard and Guttmann (2004)]. For a more concise, but still rather clear exposition we suggest [Kafri et al. (2000)]. 

For force induced unzipping or delocalization in model systems, but motivated by biopolymer experiments, we signal [Marenduzzo et al. (2001)] and [Lubensky and D. R. Nelson (2000)], even if our approach is rather different. An example of application of the same models outside of the biopolymer context can be found in [Kafri et al. (2006)]. Formula (1.41) extends easily to disordered cases, see [Giacomin (2004), Ex. 2.3] and from it a number of conclusions can be easily drawn. 

See Chapters 4 to 9 and relative bibliographic complements. The annealed model is treated for example in [Sinai and Spohn (1996)]. 

We point out that recently a number of very interesting books on various disordered models have been published in particular [Bolthausen and Sznitman (2002)], [Bovier (2006)], [Sznitman (1998)] and [Talagrand (2003)]. 

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The authors are grateful to Prof. M.I. Chaudary (Pakistan), Prof. A. Ulubelen and Prof. G. Top9U (Turkey), Dr. X. Cachet and Dr. C. Bruneau (France) for their helpful bibliographic complements. 

An even quicker (due) discussion on self-avoiding models is instead relegated to the bibliographic complements (Section 1.10). 

The smoothing effect of disorder in pinning models is a controversial issue in the physical literature, at least for a > 1. These are precisely the return probabilities considered to be of relevance for the DNA denat-uration modeling (see Section 1.4 and relative bibliographic complements). Relevant papers that attack the problem of regularity in disordered Poland-Scheraga models are in particular [Cule and Hwa (1997)], [Tang and Chate (2001)], [Blossey and Carlon (2003)], [Schafer (2005)], [Coluzzi (2005)],... 

CA File, a bibliographic online database with full abstracts, added to complement the structure-search... 

The bibliographical elements attached, and in particular [DUT 04] and namely [INN 08], complement this chapter. 

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