N. Beaton, A. Owczarek. Exact solution of directed walk models of polymeric zipping with pulling in two and three dimensions. Physica A: Statistical Mechanics and its Applications, 566, 125635 (16pp), 2021. doi: 10.1016/j.physa.2020.125635.
C. Bradly, A. Owczarek. Effect of Lattice Inhomogeneity on Collapsed Phases of Semi-stiff ISAW Polymers. Journal of Statistical Physics, 182, 27 (12pp), 2021. doi: 10.1007/s10955-021-02701-9.
R. Xu, A. Owczarek. Interacting Quarter-Plane Lattice Walk Problems: Solutions and Proofs. 2020.
N. Beaton, A. Owczarek. Exact solutions of directed walk models of polymeric zipping with pulling in two and three dimensions. 2020.
A. Owczarek, T Prellberg. Exact solution of pulled, directed vesicles with sticky walls in two dimensions. Journal of Mathematical Physics, 60, 033301 (8pp), 2019. doi: 10.1063/1.5083149.
C. Bradly, A. Owczarek. Monte Carlo simulation of 3-star lattice polymers pulled from an adsorbing surface. Journal of Physics A: Mathematical and Theoretical, 52, 275001 (15pp), 2019. doi: 10.1088/1751-8121/ab227c.
C. Bradly, A. Owczarek, T Prellberg. Phase transitions in solvent-dependent polymer adsorption in three dimensions. Physical Review E, 99, 062113 (5pp), 2019. doi: 10.1103/PhysRevE.99.062113.
C. Bradly, EJ Janse van Rensburg, A. Owczarek, SG Whittington. Force-induced desorption of 3-star polymers in two dimensions. Journal of Physics A: Mathematical and Theoretical, 52, 315002 (13pp), 2019. doi: 10.1088/1751-8121/ab2af4.
C. Bradly, EJ Janse van Rensburg, A. Owczarek, SG Whittington. Adsorbed self-avoiding walks pulled at an interior vertex. Journal of Physics A: Mathematical and Theoretical, 52, 405001 (14pp), 2019. doi: 10.1088/1751-8121/ab3cb1.
Nathann T Rodrigues, Tiago J Oliveira, Thomas Prellberg, A. Owczarek. Adsorption of two-dimensional polymers with two- and three-body self-interactions.. Physical review. E, 100, 062504 (11pp), 2019. doi: 10.1103/PhysRevE.100.062504.
N. Beaton, A. Owczarek, R. Xu. Quarter-plane lattice paths with interacting boundaries: Kreweras and friends. FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics, 2019.
N. Beaton, A. Owczarek, A Rechnitzer. Exact solution of some quarter plane walks with interacting boundaries. The Electronic Journal of Combinatorics, 26, 2019. doi: 10.37236/8024.
N. Beaton, A. Owczarek, R. Xu. Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models. 2019.
C. Bradly, A. Owczarek, T. Prellberg. Universality of crossover scaling for the adsorption transition of lattice polymers. Physical Review E, 97, 022503 (10pp), 2018. doi: 10.1103/PhysRevE.97.022503. arXiv.
A Narros, A. Owczarek, T. Prellberg. Anomalous polymer collapse winding angle distributions. Journal of Physics A: Mathematical and Theoretical, 51, 114001 (9pp), 2018. doi: 10.1088/1751-8121/aaabc8. arXiv.
C. Bradly, A. Owczarek, T Prellberg. Adsorption of neighbor-avoiding walks on the simple cubic lattice. Physical Review E, 98, 062141 (6pp), 2018. doi: 10.1103/PhysRevE.98.062141.
N. Beaton, A. Owczarek, Andrew Rechnitzer. Exact solution of some quarter plane walks with interacting boundaries. 2018.
A Bedini, A. Owczarek, T Prellberg. Self-attracting polymers in two dimensions with three low-temperature phases. Journal of Physics A: Mathematical and Theoretical, 50, 095003 (28pp), 2017. doi: 10.1088/1751-8121/aa57a6. arXiv.
A. Owczarek, A. Rechnitzer. Force signature of the unzipping transition for strip confined two-dimensional polymers. Journal of Physics A: Mathematical and Theoretical, 50, 484001 (24pp), 2017. doi: 10.1088/1751-8121/aa9105. PDF.
E. Dagrosa, A. Owczarek, T Prellberg. Phase diagram of twist storing lattice polymers in variable solvent quality. Journal of Statistical Mechanics: Theory and Experiment, 2017, 103204, 2017. doi: 10.1088/1742-5468/aa8c2d. arXiv.
E. Dagrosa, A. Owczarek, T Prellberg. Writhe induced phase transition in unknotted self-avoiding polygons. Journal of Statistical Mechanics: Theory and Experiment, 2017, 093206, 2017. doi: 10.1088/1742-5468/aa85b9. arXiv.
A Bedini, A. Owczarek, T Prellberg. The role of three-body interactions in two-dimensional polymer collapse. Journal of Physics A: Mathematical and Theoretical, 49, 214001 (16pp), 2016. doi: 10.1088/1751-8113/49/21/214001. arXiv.
R. Tabbara, A. Owczarek, A. Rechnitzer. An exact solution of three interacting friendly walks in the bulk. Journal of Physics A: Mathematical and Theoretical, 49, 154004 (27pp), 2016. doi: 10.1088/1751-8113/49/15/154004. arXiv.
Arturo Narros, A. Owczarek, Thomas Prellberg. Winding angle distributions for two-dimensional collapsing polymers. VIII Brazilian Meeting on Simulational Physics, 686, 012007 (9pp), 2016. doi: 10.1088/1742-6596/686/1/012007. arXiv.
J. Krawczyk, A. Owczarek, T Prellberg. A semi-flexible attracting-segment model of three-dimensional polymer collapse. Physica A: Statistical Mechanics and its Applications, 431, 74-83, 2015. doi: 10.1016/j.physa.2015.03.003. arXiv.
E. Dagrosa, A. Owczarek, T Prellberg. Writhe-induced knotting in a lattice polymer. Journal of Physics A: Mathematical and Theoretical, 48, 065002 (14pp), 2015. doi: 10.1088/1751-8113/48/6/065002. arXiv.
RAMI TABBARA, A. Owczarek. Generalised directed walker models of adsorption and gelation. 2015.
Eduardo Dagrosa, A. Owczarek. Statistical mechanics of twist-storing polymers. 2015.
R. Tabbara, A. Owczarek, A. Rechnitzer. An exact solution of two friendly interacting directed walks near a sticky wall. Journal of Physics A - Mathematical and Theoretical, 47, 015202 (34pp), 2014. doi: 10.1088/1751-8113/47/1/015202. PDF.
H. Lonsdale, I. Jensen, W. Essam j, A. Owczarek. Analysis of mean cluster size in directed compact percolation near a damp wall. Journal of Statistical Mechanics: Theory and Experiment, 3, P03004 (19pp), 2014. doi: 10.1088/1742-5468/2014/03/P03004. arXiv.
E. Dagrosa, A. Owczarek. Generalizing Ribbons and the Twist of the Lattice Ribbon. Journal of Statistical Physics, 155, 392-417, 2014. doi: 10.1007/s10955-014-0941-y. PDF.
A. Bedini, A. Owczarek, T. Prellberg. Lattice polymers with two competing collapse interactions. Journal of Physics A - Mathematical and Theoretical, 47, 145002 (10pp), 2014. doi: 10.1088/1751-8113/47/14/145002. PDF.
A. Owczarek, T. Prellberg. Pressure exerted by a vesicle on a surface. Journal of Physics A - Mathematical and Theoretical, 47, 215001 (9pp), 2014. doi: 10.1088/1751-8113/47/21/215001. arXiv.
T. Wong, A. Owczarek, A. Rechnitzer. Confining multiple polymers between sticky walls: a directed walk model of two polymers. Journal of Physics A - Mathematical and Theoretical, 47, 415002 (37pp), 2014. doi: 10.1088/1751-8113/47/41/415002. arXiv.
A. Bedini, A. Owczarek, T. Prellberg. Self-avoiding trails with nearest-neighbour interactions on the square lattice. Journal of Physics A - Mathematical and Theoretical, 46, 085001 (13pp), 2013. doi: 10.1088/1751-8113/46/8/085001. arXiv.
A. Bedini, A. Owczarek, T. Prellberg. Numerical simulation of a lattice polymer model at its integrable point. Journal of Physics A - Mathematical and Theoretical, 46, 265003 (9pp), 2013. doi: 10.1088/1751-8113/46/26/265003. arXiv.
A. Bedini, A. Owczarek, T. Prellberg. Weighting of topologically different interactions in a model of two-dimensional polymer collapse. Physical Review E, 87, 012142 (8pp), 2013. doi: 10.1103/PhysRevE.87.012142. arXiv.
A. Bedini, A. Owczarek, T. Prellberg. Semi-flexible interacting self-avoiding trails on the square lattice. Physica A - Statistical Mechanics and its Applications, 392, 1602-1610, 2013. doi: 10.1016/j.physa.2012.12.019. arXiv.
A. Bedini, A. Owczarek, T. Prellberg. Anomalous critical behavior in the polymer collapse transition of three-dimensional lattice trails. Physical Review E, 86, 011123 (10pp), 2012. doi: 10.1103/PhysRevE.86.011123. arXiv.
A. Owczarek, T. Prellberg. Enumeration of area-weighted Dyck paths with restricted height. Australasian Journal of Combinatorics, 54, 13-18, 2012. arXiv.
A. Owczarek, A. Rechnitzer, T. Wong. Exact solution of two friendly walks above a stickywall with single and double interactions. Journal of Physics A - Mathematical and Theoretical, 45, 425003 (23pp), 2012. doi: 10.1088/1751-8113/45/42/425003. arXiv.
R. Tabbara, A. Owczarek. Pulling a polymer with anisotropic stiffness near a sticky wall. Journal of Physics A - Mathematical and Theoretical, 45, 435002 (40pp), 2012. doi: 10.1088/1751-8113/45/43/435002. PDF.
A. Owczarek, T. Prellberg. Exact solution of a model of a vesicle attached to a wall subject to mechanical deformation. Journal of Physics A - Mathematical and Theoretical, 45, 395001 (10pp), 2012. doi: 10.1088/1751-8113/45/39/395001. arXiv.
H. Lonsdale, A. Owczarek. Directed compact percolation near a damp wall with biased growth. Journal of Statistical Mechanics: Theory and Experiment, P11001 (18pp), 2012. doi: 10.1088/1742-5468/2012/11/P11001. PDF.
H. Lonsdale, John Essam, A. Owczarek. Directed compact percolation near a damp wall: meanlength and mean number of wall contacts. Journal of Physics A - Mathematical and Theoretical, 44, 1-26, 2011. doi: 10.1088/1751-8113/44/50/505003. PDF.
J. W. Essam, A. Owczarek, H. Lonsdale. Mean length of finite clusters in directed compact percolation near a damp wall. Journal of Statistical Physics, 145, 639-646, 2011. doi: 10.1007/s10955-011-0317-5. PDF.
J. Krawczyk, A. Owczarek, T. Prellberg. A Semi-flexible attracting-segment model of two-dimensional polymer collapse. Physica A, 389, 1619-1624, 2010. doi: 10.1016/j.physa.2009.12.012. PDF.
R. Brak, G. Iliev, A. Owczarek, S. Whittington. The exact solution of a three-dimensional lattice polymer confined in a slab with sticky walls. J. Phys. A: Math. Theor., 43, 135001 (12pp), 2010. doi: 10.1088/1751-8113/43/13/135001. PDF.
A. Owczarek. Effect of stiffness on the pulling of an adsorbing polymer from a wall: Exact Solution of a Partially Directed Walk model. J. Phys. A: Math. Theor., 43, 225002 (16pp), 2010. doi: 10.1088/1751-8113/43/22/225002. PDF.
A. Owczarek, T. Prellberg. A simple model of a vesicle drop in a confined geometry. Journal of Statistical Mechanics: Theory and Experiment, P08015 (12pp), 2010. doi: 10.1088/1742-5468/2010/08/P08015. arXiv.
J. Doukas, A. Owczarek, T. Prellberg. Identification of a polymer growth process with an equilibrium multi-critical collapse phase transition: the meeting point of swollen, collapsed and crystalline polymers. Phys. Rev. E., 82, 031103 (12pp), 2010. doi: 10.1103/PhysRevE.82.031103. arXiv.
A. Owczarek, T. Prellberg. Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit with Field and Wall Interactions . Journal of Physics A - Mathematical and Theoretical, 43, 375004 (10pp), 2010. doi: 10.1088/1751-8113/43/37/375004. arXiv.
A. Owczarek, S. Whittington. Interacting Lattice Polygons. 775, 301-316, Springer Science+Business Media, 2009. doi: 10.1007/978-1-4020-9927-4_12.
R. Brak, P. Dyke, J. Lee, A. Owczarek, T. Prellberg, A. Rechnitzer, S. Whittington. A self-interacting partially directed walk subject to a force. J. Phys. A: Math. Theor., 42, 085001 (30pp), 2009. doi: 10.1088/1751-8113/42/8/085001. arXiv.
A. Owczarek, T. Prellberg. Exact solution of the discrete (1+1)--dimensional RSOS model with field and surface interactions. J. Phys. A: Math. Theor., 42, 495003 (9pp), 2009. doi: 10.1088/1751-8113/42/49/495003. arXiv.
J. Krawczyk, A. Owczarek, T. P. Prellberg. Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers. Physica A - Statistical Mechanics and its Applications, 388, 104-112, 2009. doi: 10.1016/j.physa.2008.10.005. arXiv.
J. Krawczyk, I. Jensen, A. Owczarek, Kumar. Pulling self-interacting polymers in two dimensions. Physical Review E, 79, 1-9, 2009. doi: 10.1103/PhysRevE.79.031912. arXiv.
H. Lonsdale, R. Brak, John Essam, A. Owczarek, A. Rechnitzer. On directed compact percolation near a damp wall. Journal of Physics A - Mathematical and Theoretical, 42, 1-26, 2009. doi: 10.1088/1751-8113/42/12/125001. PDF.
A. Owczarek. Exact solution for semi-flexible partially directed walks at an adsorbing wall. Journal of Statistical Mechanics: Theory and Experiment, 2009, P11002 (15pp), 2009. doi: 10.1088/1742-5468/2009/11/P11002. PDF.
A. Owczarek. Exact results for a Directed Polymer Model Related to Quantum Entanglement in Far from Equilibrium Stationary States. Journal of Statistical Mechanics: Theory and Experiment, 2009, P12004 (14pp), 2009. doi: 10.1088/1742-5468/2009/12/P12004. PDF.
A. Owczarek, T. Prellberg, A. Rechnitzer. Finite-size scaling functions for directed polymers confined between attracting walls. J. Phys. A: Math. Theor., 41, 035002:1-16, 2008. doi: 10.1088/1751-8113/41/3/035002. arXiv.
A. Owczarek, T. Prellberg. Scaling of the atmosphere of self-avoiding walks. J. Phys. A: Math. Theor., 41, 375004 (6pp), 2008. doi: 10.1088/1751-8113/41/37/375004. arXiv.
A. Owczarek, R. Brak, A. Rechnitzer. Self-avoiding walks in slits and slabs with interactive walls. J. Math. Chem., 45, 113-128, 2008. doi: 10.1007/s10910-008-9371-x. PDF.
R. Brak, A. Owczarek, A. Rechnitzer. Exact solutions of some lattice polymer models. J. Math. Chem., 45, 39-57, 2008. doi: 10.1007/s10910-008-9366-7. PDF.
Y. Chan, A. Owczarek, A. Rechnitzer, G. Slade. Mean unknotting times of random knots and embeddings. J. Stat. Mech.: Theor. Exp., P05004 (16pp), 2007. doi: 10.1088/1742-5468/2007/05/P05004. PDF.
R. Martin, E. Orlandini, A. Owczarek, A. Rechnitzer, S. Whittington. Exact enumeration and Monte Carlo results for self-avoiding walks in a slab. Journal of Physics A: Mathematical and theoretical, 40, 7509-7521, 2007. doi: 10.1088/1751-8113/40/27/006. PDF.
A. Owczarek, A. Rechnitzer, J. Krawczyk, T. Prellberg. On the location of the surface-attached globule phase in collapsing polymers. J. Phys. A: Math. Theor., 40, 13257-13267, 2007. doi: 10.1088/1751-8113/40/44/007. arXiv.
J. Krawczyk, A. Owczarek, T. Prellberg. The competition of hydrogen-like and isotropic interactions on polymer collapse. J. Stat. Mech.: Theor. Exp., P09016:1-15, 2007. doi: 10.1088/1742-5468/2007/09/P09016. arXiv.
J. Krawczyk, A. Owczarek, T. Prellberg, A. Rechnitzer. Lattice model for parallel and orthogonal beta sheets using hydrogenlike bonding. Phys. Rev. E., 76, 051904, 2007. PDF.
A. Owczarek, T. Prellberg. Exact solution of semi-flexible and super-flexible interacting partially directed walks. J. Stat. Mech.: Theor. Exp., P11010 (14pp), 2007. doi: 10.1088/1742-5468/2007/11/P11010. arXiv.
J. Krawczyk, A. Owczarek, Prellberg, A. Rechnitzer. A Lattice Model for Parallel and Orthogonal Beta-Sheets using Hydrogen-Like Bonding. Physical Review E, 76, 051904 (5pp), 2007. doi: 10.1103/PhysRevE.76.051904.
A. Owczarek, A. Rechnitzer. On the number of anisospiral walks: a challenge in numerical analysis. 42, 225-230, Counting Complexity: an international workshop on Statistical Mechanics and Combinatorics, 2006. doi: 10.1088/1742-6596/42/1/020. PDF.
A. Owczarek. A note on the corrections-to-scaling for the number of nearest neighbour contacts in self-avoiding walks. 42, 221-224, Counting Complexity: an international workshop on Statistical Mechanics and Combinatorics, 2006. doi: 10.1088/1742-6596/42/1/019. PDF.
A. Owczarek, T. Prellberg. Collapse transition of self-avoiding trails on the square lattice. Physica A, 373, 433-438, 2006. doi: 10.1016/j.physa.2006.06.012. arXiv.
R. Brak, J. W. Essam, J. Osborn, A. Owczarek, A. Rechnitzer. Lattice Paths and the Constant Term. Journal of Physics - Conference Series, 42, 47-58, 2006. doi: 10.1088/1742-6596/42/1/006. PDF.
J. Krawczyk, T. Prellberg, A. Owczarek, A. Rechnitzer. Self-Avoiding Random Walk with Multiple Site Weightings and Restrictions. Physical Review Letters, 96, 1-4, 2006. doi: 10.1103/PhysRevLett.96.240603. arXiv.
J. Krawczyk, A. Owczarek, T. Prellberg, A. Rechnitzer. Layering transitions for adsorbing polymers in poor solvents. Europhysics Lett., 70, 726-732, 2005. doi: 10.1209/epl/i2004-10524-7. arXiv.
J. Krawczyk, A. Owczarek, T. Prellberg, A. Rechnitzer. Pulling absorbing and collapsing polymers from a surface. J. Stat. Mech.: Theor. Exp., P05008:1-12, 2005. doi: 10.1088/1742-5468/2005/05/P05008. arXiv.
R. Brak, A. Owczarek, A. Rechnitzer, S. Whittington. A directed walk model of a long chain polymer in a slit with attractive walls. J. Phys. A, 38, 4309-4325, 2005. doi: 10.1088/0305-4470/38/20/001. arXiv.
E. J. Janse van Rensburg, E. Orlandini, A. Owczarek, A. Rechnitzer, S. G. Whittington. Self-avoiding walks in a slab with attractive walls. J. Phys. A, 38, L823-L828, 2005. doi: 10.1088/0305-4470/38/50/L01. PDF.
T. Prellberg, A. Owczarek. Polymer Collapse in High Dimensions: Monte Carlo Simulation of Lattice Models. 147-151, Computer Simulation Studies in Condensed Matter Physics XVI, Springer Verlag, 2004. PDF.
J. Krawczyk, T. Prellberg, A. Owczarek, A. Rechnitzer. Stretching of a chain polymer adsorbed at a surface. J. Stat. Mech.: Theor. Exp., P10004, 2004. doi: 10.1088/1742-5468/2004/10/P10004. PDF.
A. Owczarek, T. Prellberg. Monte carlo investigation of lattice models for polymer collapse in five dimensions. Int. J. Mod. Phys. C, 14, 621-633, 2003. doi: 10.1142/S0129183103004802. arXiv.
A. Owczarek, T Prellberg. Scaling near theθpoint for isolated polymers in solution. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 67, 3 (3pp), 2003. doi: 10.1103/PhysRevE.67.032801.
L. H. Wong, A. Owczarek. Monte carlo studies of three-dimensional two-step restricted self-avoiding walks. J. Phys. A., 36, 9635-9646, 2003. doi: 10.1088/0305-4470/36/37/303. PDF.
E. J. Beamond, A. Owczarek, J. Cardy. Quantum and classical localization and the Manhattan lattice. J. Phys. A., 36, 10251-10267, 2003. doi: 10.1088/0305-4470/36/41/001. arXiv.
A. Owczarek, T. Prellberg. Scaling near the theta point for isolated polymers in solution. Physical Review E, 67, 2003. PDF.
T. Prellberg, A. Owczarek. Pseudo-first-order transition in interacting self-avoiding walks and trails. Comp. Phys. Commun., 147, 629-632, 2002. doi: 10.1016/S0010-4655(02)00352-1. arXiv.
A. C. Oppenheim, R. Brak, A. Owczarek. Anisotropic step, mutual contact and area weighted festoons and parallelogram polyominoes on the triangular lattice. J. Phys. A., 35, 3213-3230, 2002. doi: 10.1088/0305-4470/35/14/305. PDF.
C. M. Owczarek, A. Owczarek, P. G. Board. Identification and characterization of polymorphisms at the HSA alpha(1)-acid glycoprotein (ORM) gene locus in Caucasians. Genet. Mol. Biol., 25, 13-19, 2002. doi: 10.1590/S1415-47572002000100004. PDF.
A. C. Oppenheim, R. Brak, A. Owczarek. Anisotropic step, surface contact, and area weighted directed walks on the triangular lattice. Int. J. Mod. Phys. B, 16, 1269-1299, 2002. doi: 10.1142/S0217979202010087. PDF.
C. M. Owczarek, A. Owczarek, PG Board. Identification and characterization of polymorphisms at the HSA alpha(1)-acid glycoprotein (ORM) gene locus in Caucasians. Genetics and Molecular Research, 1, 96-105, 2002.
A. Owczarek, A. Rechnitzer, L. H. WONG. Addendum to 'on three-dimensional self-avoiding walk symmetry classes'. Journal of Physics A - Mathematical and General, 34, 6055-6060, 2001. PDF.
T. Prellberg, A. Owczarek. Four-dimensional polymer collapse II: Interacting self-avoiding trails. Physica A, 297, 275-290, 2001. doi: 10.1016/S0378-4371(01)00241-2. arXiv.
A. Owczarek, T. Prellberg. Scaling of Self-Avoiding Walks in High Dimensions. J. Phys. A., 34, 5773-5780, 2001. doi: 10.1088/0305-4470/34/29/303. arXiv.
A. Owczarek, J. Essam, R. Brak. Scaling analysis for the adsorption transition in a watermelon network of $n$ directed non-intersecting walks. J. Stat. Phys., 102, 997-1017, 2001. doi: 10.1023/A:1004819507352. PDF.
A. Guttmann, I. Jensen, A. Owczarek. Polygonal polyominoes on the square lattice. J. Phys. A., 34, 3721-3733, 2001. doi: 10.1088/0305-4470/34/18/302. PDF.
A RECHNITZER, A. Owczarek. On three-dimensional self-avoiding walk symmetry classes. Journal of Physics A: Mathematical and General, 33, 2685-2723, 2000. doi: 10.1088/0305-4470/33/14/307.
A Rechnitzer, A. Owczarek, D RECHNITZER, LH WONG. On three-dimensional self-avoiding walk symmetry classes. Journal of Physics A: Mathematical and General, 33, 2685-2723, 2000. doi: 10.1088/0305-4470/33/14/307.
A. Owczarek, T. Prellberg. First-order scaling approach to a second-order phase transition: Tricritical polymer collapse. Europhys. Lett., 51, 602-607, 2000. doi: 10.1209/epl/i2000-00380-5. arXiv.
T. Prellberg, A. Owczarek. Four-dimensional polymer collapse: Pseudo-First-Order Transition in Interacting Self-avoiding Walks. Phys. Rev. E., 62, 3780-3789, 2000. doi: 10.1103/PhysRevE.62.3780. arXiv.
A. Rechnitzer, A. Owczarek. On three-dimensional Self-avoiding walk symmetry classes. J. Phys. A., 33, 2685--2723, 2000. PDF.
R. Brak, J. Essam, A. Owczarek. From the Bethe Ansatz to the Gessel-Viennot Theorem. Annals of Comb., 3, 251-263, 1999. PDF.
R. Brak, JW Essam, A. Owczarek. From the Bethe Ansatz to the Gessel-Viennot theorem. Annals of Combinatorics, 3, 251-263, 1999. doi: 10.1007/BF01608786.
R. Brak, JW Essam, A. Owczarek. Partial difference equation method for lattice path problems. Annals of Combinatorics, 3, 265-275, 1999. doi: 10.1007/BF01608787.
R. Brak, J. Essam, A. Owczarek. Partial Difference equation method for lattice path problems. Annals of Comb., 3, 265--275, 1999. PDF.
R. Brak, A. Owczarek. A combinatorial interpretation of the free-fermion condition of the six-vertex model. J. Phys. A., 32, 3497-3503, 1999. doi: 10.1088/0305-4470/32/19/303. arXiv.
R. Brak, J. Essam , A. Owczarek. Equivalence of the Bethe Ansatz and the Gessel-Viennot Theorem for Non-intersecting Paths. 108--118, Proceedings of the 11th Formal Power Series and Algebraic Combinatorics Conference, 1999. PDF.
R. Brak, J. Essam, A. Owczarek. Exact solution of N directed non-intersecting walks interacting with one or two boundaries. J. Phys. A., 32, 2921-2929, 1999. doi: 10.1088/0305-4470/32/16/003. PDF.
T. Prellberg, A. Owczarek. On the Asymptotics of the Finite-Perimeter Partition Function of Two-Dimensional Lattice Vesicles. Commun. Math. Phys., 201, 493-505, 1999. doi: 10.1007/s002200050565. arXiv.
R. Brak, A. Owczarek, C. Soteros. On Anisotropic Spiral Self-avoiding Walks. J. Phys. A., 31, 4851-4869, 1998. doi: 10.1088/0305-4470/31/21/005. PDF.
M. T. Batchelor, D. Bennett-Wood, A. Owczarek. Two-dimensional polymer networks at a mixed boundary: Surface and wedge exponents. Europ. Phys. J. B, 5, 139-142, 1998. doi: 10.1007/s100510050426. arXiv.
D. Bennett-Wood, I. Enting , D. S. Gaunt, A. Guttmann, J. L. Leask, A. Owczarek, S. Whittington. Exact Enumeration Study of Free Energies of Interacting Polygons and Walks in Two Dimensions. J. Phys. A., 31, 4725-4741, 1998. doi: 10.1088/0305-4470/31/20/010. arXiv.
R. Brak, J. Essam, A. Owczarek. New Results for Directed Vesicles and Chains near an Attractive Wall. J. Stat. Phys., 93, 155-192, 1998. doi: 10.1023/B:JOSS.0000026731.35385.93. PDF.
A. Guttmann, A. Owczarek, X. G. Viennot. Vicious walkers and Young tableaux I: Without walls. J. Phys. A., 31, 8123-8135, 1998. doi: 10.1088/0305-4470/31/40/007. PDF.
A. Owczarek, T. Prellberg. Existence of four-dimensional polymer collapse I: Kinetic growth trails. Physica A, 260, 20--30, 1998. PDF.
R. Brak, P. P. Nidras, A. Owczarek. Cluster Structure of Collapsing Polymers. J. Stat. Phys., 91, 75-93, 1998. doi: 10.1023/A:1023083903287. PDF.
D. Bennett-Wood, J. L. Cardy, I. Enting , A. Guttmann, A. Owczarek. On the Non-Universality of a Critical Exponent for Self-Avoiding~Walks. Nuc. Phys. B, 528, 533-552, 1998. doi: 10.1016/S0550-3213(98)00419-2. arXiv.
A. Owczarek, A. Rechnitzer, R. Brak, A. Guttmann. On the Hulls of Directed Percolation Clusters. J. Phys. A., 30, 6679-6691, 1997. doi: 10.1088/0305-4470/30/19/011. PDF.
D. Bennett-Wood, A. Owczarek. Exact Enumeration Results for Self-Avoiding Walks on the Honeycomb Lattice Attached to a Surface. J. Phys. A., 29, 4755-4768, 1996. doi: 10.1088/0305-4470/29/16/004. PDF.
T. Prellberg, A. Owczarek. Partially Convex Lattice Vesicles: Methods and Recent Results. 204--214, Proceedings of the Conference 'Confronting the Infinite', World Scientific, 1995. PDF.
R. Brak, A. Owczarek. On the Analyticity Properties of Scaling Functions in Models of Polymer Collapse. J. Phys. A., 28, 4709-4725, 1995. doi: 10.1088/0305-4470/28/17/007. PDF.
T. Prellberg, A. Owczarek. Stacking Models of Vesicles and Compact Clusters. J. Stat. Phys., 80, 755-779, 1995. doi: 10.1007/BF02178553. PDF.
A. Owczarek, T. Prellberg. The Collapse Point of Interacting Trails in Two Dimensions from Kinetic Growth Simulations. J. Stat. Phys., 79, 951-967, 1995. doi: 10.1007/BF02181210. PDF.
T. Prellberg, A. Owczarek. Models of Polymer Collapse in Three Dimensions: Evidence from Kinetic Growth Simulations.. Phys. Rev. E., 51, 2142-2149, 1995. doi: 10.1103/PhysRevE.51.2142. PDF.
M. T. Batchelor, A. Owczarek, K. Seaton, C. M. Yung. Surface Critical Behaviour of an O(n) Loop Model Related to Two Manhattan Lattice Walk Problems. J. Phys. A, 28, 839-852, 1995. doi: 10.1088/0305-4470/28/4/011. PDF.
A. Guttmann, A. Owczarek, D. Bennett-Wood, T. Prellberg. Recent Developments in the Study of Walks, Polygons and the Ising Model. Nuc. Phys. B. (Proc. Suppl.), 42, 911-913, 1995. doi: 10.1016/0920-5632(95)00419-A. PDF.
D. Bennett-Wood, J. L. Cardy, S. Flesia, A. Guttmann, A. Owczarek. Oriented Self-Avoiding Walks with Orientation-Dependent Interactions. J. Phys. A., 28, 5143-5163, 1995. doi: 10.1088/0305-4470/28/18/007. PDF.
A. Owczarek, T. Prellberg, D. Bennett-Wood, A. Guttmann. Universal Distance Ratios for Interacting Two-dimensional Polymers. J. Phys. A, 27, L919-L925, 1994. doi: 10.1088/0305-4470/27/24/003. PDF.
R. Brak, A. Owczarek, T. Prellberg. Exact Scaling Behaviour of Partially Convex Vesicles. J. Stat. Phys., 76, 1101-1128, 1994. doi: 10.1007/BF02187057. PDF.
A. Owczarek, T. Prellberg. Interacting Partially Directed Walks: A Model of Polymer Collapse.. Physica A, 205, 203-213, 1994. doi: 10.1016/0378-4371(94)90501-0. PDF.
T. Prellberg, A. Owczarek. Manhattan Lattice Theta-point Exponents from Kinetic Growth Walks and Exact Results from the Nienhuis O(N) Model. J. Phys. A., 27, 1811-1826, 1994. doi: 10.1088/0305-4470/27/6/009. PDF.
D. Bennett-Wood, R. Brak, A. Guttmann, A. Owczarek, T. Prellberg. Low Temperature Partition Function Scaling: Series Analysis Results. J. Phys. A., 27, L1-L8, 1994. doi: 10.1088/0305-4470/27/2/001. PDF.
D. Bennett-Wood, A. Owczarek, T. Prellberg. Crossover in Smart Kinetic Growth Walks. Physica A., 206, 283-288, 1994. doi: 10.1016/0378-4371(94)90307-7. PDF.
A. Owczarek, T. Prellberg, R. Brak. Exact Scaling Form for the Collapsed 2D Polymer Phase - Reply. Physical Review Letters, 71, 4275 (1pp), 1993. doi: 10.1103/PhysRevLett.71.4275.
A. Owczarek, T. Prellberg, R. Brak. New Scaling Form for the Collapsed Polymer Phase. Physical Review Letters, 70, 951-953, 1993. doi: 10.1103/PhysRevLett.70.951.
A. Owczarek, T. Prellberg, R. Brak. The Tricritical Behaviour of Self-Interacting Partially Directed Walks. J. Stat. Phys., 72, 737-772, 1993. doi: 10.1007/BF01048031. PDF.
T. Prellberg, A. Owczarek, R. Brak, A. Guttmann. Finite Length Scaling of Collapsing Directed Walks. Phys. Rev. E., 48, 2386-2396, 1993. doi: 10.1103/PhysRevE.48.2386. PDF.
A. Owczarek. Scaling in the Collapsed Polymer Phase: Exact Results. J. Phys. A., 26, L647-L653, 1993. doi: 10.1088/0305-4470/26/15/006. PDF.
A. Owczarek, T. Prellberg, R. Brak. Reply to Exact Scaling Form for the 2D Polymer Phase. Phys. Rev. Lett., 71, 4275, 1993. PDF.
A. Guttmann, T. Prellberg, A. Owczarek. On the Symmetry Classes of Planar Self-Avoiding Walks. J. Phys. A., 26, 6615-6623, 1993. doi: 10.1088/0305-4470/26/23/012. PDF.
R. Brak, A. Owczarek, T. Prellberg. A Scaling Theory of Collapse Transitions. J. Phys. A., 26, 4565-4579, 1993. doi: 10.1088/0305-4470/26/18/022. PDF.
A. Owczarek, T. Prellberg, R. Brak. A New Scaling Form for the Collapsed Polymer Phase. Phys. Rev. Lett., 70, 951--953, 1993. PDF.
A. Owczarek, T. Prellberg. Exact Solution of the Discrete (1+1)-Dimensional SOS Model with Field and Surface Interactions. J. Stat. Phys., 70, 1175-1194, 1993. doi: 10.1007/BF01049427. PDF.
P. M. Binder, D. Y. K. Ko, A. Owczarek, C. J. Twining. Ordered Cellular Automata In One-Dimension. J. Physique. I, 23, 21-28, 1993. doi: 10.1051/jp1:1993113. PDF.
A. Owczarek, P. M. Binder, D. Y. K. Ko. Cutoff Scalings for One Dimensional Order. J. Phys. A, 25, L21-L24, 1992. doi: 10.1088/0305-4470/25/1/004. PDF.
M. R. Swift, A. Owczarek, J. O. Indekeu. Effect of Confinement on Wetting and Drying between Opposing Boundaries. Euro. Phys. Letts., 14, 475-481, 1991. doi: 10.1209/0295-5075/14/5/015. PDF.
J. O. Indekeu, A. Owczarek, M. R. Swift. Quasiwetting and Critical Point Leaps. Phys. Rev. Letts., 66, 2174 (1pp), 1991. doi: 10.1103/PhysRevLett.66.2174. PDF.
D. B. Abraham, A. Owczarek. Correlation Function for the Baxter Model. Phys. Rev. Lett., 64, 2595-2598, 1990. doi: 10.1103/PhysRevLett.64.2595. PDF.
P. M. Binder, A. Owczarek, A. R. Veal, J. M. Yeomans. Collapse Transition in a Simple Polymer Model: Exact Results. J. Phys. A, 23, L975-L979, 1990. doi: 10.1088/0305-4470/23/18/007. PDF.
A. Owczarek, R. J. Baxter. Surface Free Energy of the Critical Six Vertex Model with Free Boundaries. J. Phys. A, 22, 1141-1165, 1989. doi: 10.1088/0305-4470/22/8/027. PDF.
A. Owczarek, R. J. Baxter. Generalised Percolation Probabilities for the Self-Dual Potts Model. J. Phys. A, 20, 5263-5271, 1987. doi: 10.1088/0305-4470/20/15/038. PDF.
A. Owczarek, R. J. Baxter. A Class of Interaction-Round-a-Face Models and Its Equivalence with an Ice-Type Model. J. Stat. Phys., 49, 1093-1115, 1987. doi: 10.1007/BF01017562. PDF.