@book{gennes1979a-a,
author = {P.-G. de Gennes},
title = {{Scaling Concepts in Polymer Physics}},
publisher = {Cornell University Press},
address = {Ithaca},
year = {1979},
}
@book{vanderzande1998a-a,
author = {C. Vanderzande},
title = {{Lattice models of Polymers}},
publisher = {Cambridge University Press},
address = {Cambridge},
year = {1998},
}
@article{Malakis_1976,
doi = {10.1088/0305-4470/9/8/018},
url = {http://dx.doi.org/10.1088/0305-4470/9/8/018},
year = {1976},
month = {Aug},
publisher = {IOP Publishing},
volume = {9},
number = {8},
pages = {1283-1291},
author = {A Malakis},
title = {{The trail problem on the square lattice}},
journal = {Journal of Physics A: Mathematical and General},
}
@article{Shapir_1984,
doi = {10.1088/0305-4470/17/2/003},
url = {http://dx.doi.org/10.1088/0305-4470/17/2/003},
year = {1984},
month = {Feb},
publisher = {IOP Publishing},
volume = {17},
number = {2},
pages = {L39-L44},
author = {Y Shapir and Y Oono},
title = {{Walks trials and polymers with loops}},
journal = {Journal of Physics A: Mathematical and General},
}
@article{Owczarek_1995,
doi = {10.1007/bf02181210},
url = {http://dx.doi.org/10.1007/bf02181210},
year = {1995},
month = {Jun},
publisher = {Springer Science + Business Media},
volume = {79},
number = {5-6},
pages = {951-967},
author = {A. L. Owczarek and T. Prellberg},
title = {{The collapse point of interacting trails in two dimensions from kinetic growth simulations}},
journal = {Journal of Statistical Physics},
}
@article{Owczarek_2007,
doi = {10.1016/j.physa.2006.06.012},
url = {http://dx.doi.org/10.1016/j.physa.2006.06.012},
year = {2007},
month = {Jan},
publisher = {Elsevier BV},
volume = {373},
pages = {433-438},
author = {A.L. Owczarek and T. Prellberg},
title = {{Collapse transition of self-avoiding trails on the square lattice}},
journal = {Physica A: Statistical Mechanics and its Applications},
}
@article{Bedini_2013_INNSAT,
doi = {10.1088/1751-8113/46/8/085001},
url = {http://dx.doi.org/10.1088/1751-8113/46/8/085001},
year = {2013},
month = {Mar},
publisher = {IOP Publishing},
volume = {46},
number = {8},
pages = {085001},
author = {A Bedini and A L Owczarek and T Prellberg},
title = {{Self-avoiding trails with nearest-neighbour interactions on the square lattice}},
journal = {Journal of Physics A: Mathematical and Theoretical},
}
@article{Owczarek_1993,
doi = {10.1103/physrevlett.70.951},
url = {http://dx.doi.org/10.1103/physrevlett.70.951},
year = {1993},
month = {Feb},
publisher = {American Physical Society (APS)},
volume = {70},
number = {7},
pages = {951-953},
author = {A. Owczarek and T. Prellberg and R. Brak},
title = {{New scaling form for the collapsed polymer phase}},
journal = {Phys. Rev. Lett.},
}
@article{Nienhuis_1982,
doi = {10.1103/physrevlett.49.1062},
url = {http://dx.doi.org/10.1103/physrevlett.49.1062},
year = {1982},
month = {Oct},
publisher = {American Physical Society (APS)},
volume = {49},
number = {15},
pages = {1062-1065},
author = {Bernard Nienhuis},
title = {{Exact Critical Point and Critical Exponents of O(n) Models in Two Dimensions}},
journal = {Phys. Rev. Lett.},
}
@article{Nienhuis_1984,
doi = {10.1007/bf01009437},
url = {http://dx.doi.org/10.1007/bf01009437},
year = {1984},
month = {Mar},
publisher = {Springer Science + Business Media},
volume = {34},
number = {5-6},
pages = {731-761},
author = {Bernard Nienhuis},
title = {{Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas}},
journal = {Journal of Statistical Physics},
}
@article{Blote_1989,
doi = {10.1088/0305-4470/22/9/028},
url = {http://dx.doi.org/10.1088/0305-4470/22/9/028},
year = {1989},
month = {May},
publisher = {IOP Publishing},
volume = {22},
number = {9},
pages = {1415-1438},
author = {H W J Blote and B Nienhuis},
title = {{Critical behaviour and conformal anomaly of the O(n) model on the square lattice}},
journal = {Journal of Physics A: Mathematical and General},
}
@article{Guo_2006,
doi = {10.1103/physrevlett.96.045704},
url = {http://dx.doi.org/10.1103/physrevlett.96.045704},
year = {2006},
month = {Feb},
publisher = {American Physical Society (APS)},
volume = {96},
number = {4},
author = {Wenan Guo and Bernard Nienhuis and Henk W. J. Bl\"ote},
title = {{Exact Characterization of O(n) Tricriticality in Two Dimensions}},
journal = {Phys. Rev. Lett.},
}
@article{Nienhuis_2008,
doi = {10.1103/physreve.78.061104},
url = {http://dx.doi.org/10.1103/physreve.78.061104},
year = {2008},
month = {Dec},
publisher = {American Physical Society (APS)},
volume = {78},
number = {6},
author = {Bernard Nienhuis and Wenan Guo and Henk Bl\"ote},
title = {{Tricritical O(n) models in two dimensions}},
journal = {Physical Review E},
}
@article{Duplantier_1987,
doi = {10.1103/physrevlett.59.539},
url = {http://dx.doi.org/10.1103/physrevlett.59.539},
year = {1987},
month = {Aug},
publisher = {American Physical Society (APS)},
volume = {59},
number = {5},
pages = {539-542},
author = {Bertrand Duplantier and Hubert Saleur},
title = {{Exact tricritical exponents for polymers at the FTHETA point in two dimensions}},
journal = {Phys. Rev. Lett.},
}
@article{Caracciolo_2011,
doi = {10.1088/1751-8113/44/11/115004},
url = {http://dx.doi.org/10.1088/1751-8113/44/11/115004},
year = {2011},
month = {Mar},
publisher = {IOP Publishing},
volume = {44},
number = {11},
pages = {115004},
author = {Sergio Caracciolo and Marco Gherardi and Mauro Papinutto and Andrea Pelissetto},
title = {{Geometrical properties of two-dimensional interacting self-avoiding walks at the $\theta$-point}},
journal = {Journal of Physics A: Mathematical and Theoretical},
}
@incollection{Jacobsen_2009,
doi = {10.1007/978-1-4020-9927-4_14},
url = {http://dx.doi.org/10.1007/978-1-4020-9927-4_14},
year = {2009},
publisher = {Springer Science + Business Media},
pages = {347-424},
author = {Jesper Lykke Jacobsen},
title = {{Conformal Field Theory Applied to Loop Models}},
booktitle = {Polygons Polyominoes and Polycubes},
}
@article{Jacobsen_2003,
doi = {10.1103/physrevlett.90.090601},
url = {http://dx.doi.org/10.1103/physrevlett.90.090601},
year = {2003},
month = {Mar},
publisher = {American Physical Society (APS)},
volume = {90},
number = {9},
author = {J. Jacobsen and N. Read and H. Saleur},
title = {{Dense Loops Supersymmetry, and Goldstone Phases in Two Dimensions}},
journal = {Phys. Rev. Lett.},
}
@article{Martins_1998,
doi = {10.1103/physrevlett.81.504},
url = {http://dx.doi.org/10.1103/physrevlett.81.504},
year = {1998},
month = {Jul},
publisher = {American Physical Society (APS)},
volume = {81},
number = {3},
pages = {504-507},
author = {M. Martins and B. Nienhuis and R. Rietman},
title = {{Intersecting Loop Model as a Solvable Super Spin Chain}},
journal = {Phys. Rev. Lett.},
}
@article{Gier_2005,
doi = {10.1088/1742-5468/2005/01/p01006},
url = {http://dx.doi.org/10.1088/1742-5468/2005/01/p01006},
year = {2005},
month = {Jan},
publisher = {IOP Publishing},
volume = {2005},
number = {01},
pages = {P01006},
author = {Jan de Gier and Bernard Nienhuis},
title = {{Brauer loops and the commuting variety}},
journal = {J. Stat. Mech.},
}
@article{Nahum_2013,
doi = {10.1103/physrevb.87.184204},
url = {http://dx.doi.org/10.1103/physrevb.87.184204},
year = {2013},
month = {May},
publisher = {American Physical Society (APS)},
volume = {87},
number = {18},
author = {Adam Nahum and P. Serna and A. M. Somoza and M. Ortu\~no},
title = {{Loop models with crossings}},
journal = {Physical Review B},
}
@article{Foster_2009,
doi = {10.1088/1751-8113/42/37/372002},
url = {http://dx.doi.org/10.1088/1751-8113/42/37/372002},
year = {2009},
month = {Sep},
publisher = {IOP Publishing},
volume = {42},
number = {37},
pages = {372002},
author = {D P Foster},
title = {{Universality of collapsing two-dimensional self-avoiding trails}},
journal = {Journal of Physics A: Mathematical and Theoretical},
}
@article{Wu_1990,
doi = {10.1103/physreva.41.6845},
url = {http://dx.doi.org/10.1103/physreva.41.6845},
year = {1990},
month = {Jun},
publisher = {American Physical Society (APS)},
volume = {41},
number = {12},
pages = {6845-6851},
author = {Kang Wu and R. Bradley},
title = {{Collapse transition of self-avoiding walks and trails by real-space renormalization}},
journal = {Physical Review A},
}
@article{Doukas_2010,
doi = {10.1103/physreve.82.031103},
url = {http://dx.doi.org/10.1103/physreve.82.031103},
year = {2010},
month = {Sep},
publisher = {American Physical Society (APS)},
volume = {82},
number = {3},
author = {Jason Doukas and Aleksander L. Owczarek and Thomas Prellberg},
title = {{Identification of a polymer growth process with an equilibrium multicritical collapse phase transition: The meeting point of swollen collapsed, and crystalline polymers}},
journal = {Physical Review E},
}
@article{Prellberg_2004,
doi = {10.1103/physrevlett.92.120602},
url = {http://dx.doi.org/10.1103/physrevlett.92.120602},
year = {2004},
month = {Mar},
publisher = {American Physical Society (APS)},
volume = {92},
number = {12},
author = {Thomas Prellberg and Jarosław Krawczyk},
title = {{Flat Histogram Version of the Pruned and Enriched Rosenbluth Method}},
journal = {Phys. Rev. Lett.},
}
@article{Grassberger_1997,
doi = {10.1103/physreve.56.3682},
url = {http://dx.doi.org/10.1103/physreve.56.3682},
year = {1997},
month = {Sep},
publisher = {American Physical Society (APS)},
volume = {56},
number = {3},
pages = {3682-3693},
author = {Peter Grassberger},
title = {{Pruned-enriched Rosenbluth method: Simulations of $\theta$ polymers of chain length up to 1 000 000}},
journal = {Physical Review E},
}
@article{Bedini_2013,
doi = {10.1103/physreve.87.012142},
url = {http://dx.doi.org/10.1103/physreve.87.012142},
year = {2013},
month = {Jan},
publisher = {American Physical Society (APS)},
volume = {87},
number = {1},
author = {Andrea Bedini and Aleksander Owczarek and Thomas Prellberg},
title = {{Weighting of topologically different interactions in a model of two-dimensional polymer collapse}},
journal = {Physical Review E},
}
@article{Krawczyk_2009,
doi = {10.1016/j.physa.2008.10.005},
url = {http://dx.doi.org/10.1016/j.physa.2008.10.005},
year = {2009},
month = {Jan},
publisher = {Elsevier BV},
volume = {388},
number = {2-3},
pages = {104-112},
author = {J. Krawczyk and A.L. Owczarek and T. Prellberg},
title = {{Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers}},
journal = {Physica A: Statistical Mechanics and its Applications},
}
