Bradly, C. J.; Owczarek, A. L. Critical behaviour of the extended-ballistic transition for pulled self-avoiding walks. (English) Zbl 07715820 Physica A 624, Article ID 128978, 8 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{C. J. Bradly} and \textit{A. L. Owczarek}, Physica A 624, Article ID 128978, 8 p. (2023; Zbl 07715820) Full Text: DOI arXiv
Beaton, Nicholas R.; Owczarek, Aleksander L. Exact solution of weighted partially directed walks crossing a square. (English) Zbl 07668190 J. Phys. A, Math. Theor. 56, No. 15, Article ID 155003, 20 p. (2023). MSC: 82C26 82C41 82D60 PDFBibTeX XMLCite \textit{N. R. Beaton} and \textit{A. L. Owczarek}, J. Phys. A, Math. Theor. 56, No. 15, Article ID 155003, 20 p. (2023; Zbl 07668190) Full Text: DOI arXiv
Guttmann, Anthony J.; Jensen, Iwan; Owczarek, Aleksander L. Self-avoiding walks contained within a square. (English) Zbl 1515.82071 J. Phys. A, Math. Theor. 55, No. 42, Article ID 425201, 16 p. (2022). MSC: 82B41 PDFBibTeX XMLCite \textit{A. J. Guttmann} et al., J. Phys. A, Math. Theor. 55, No. 42, Article ID 425201, 16 p. (2022; Zbl 1515.82071) Full Text: DOI arXiv
Bradly, C. J.; Owczarek, A. L. Critical scaling of lattice polymers confined to a box without endpoint restriction. (English) Zbl 1500.82003 J. Math. Chem. 60, No. 10, 1903-1920 (2022). MSC: 82B20 82B26 82B27 82B41 82D60 82M31 PDFBibTeX XMLCite \textit{C. J. Bradly} and \textit{A. L. Owczarek}, J. Math. Chem. 60, No. 10, 1903--1920 (2022; Zbl 1500.82003) Full Text: DOI arXiv
Bradly, C. J.; Owczarek, A. L. Polymer collapse of a self-avoiding trail model on a two-dimensional inhomogeneous lattice. (English) Zbl 07582064 Physica A 604, Article ID 127688, 11 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{C. J. Bradly} and \textit{A. L. Owczarek}, Physica A 604, Article ID 127688, 11 p. (2022; Zbl 07582064) Full Text: DOI arXiv
Beaton, Nicholas R.; Owczarek, Aleksander L.; Xu, Ruijie Quarter-plane lattice paths with interacting boundaries: the Kreweras and reverse Kreweras models. (English) Zbl 1504.05018 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 163-192 (2021). MSC: 05A15 60J10 PDFBibTeX XMLCite \textit{N. R. Beaton} et al., Springer Proc. Math. Stat. 373, 163--192 (2021; Zbl 1504.05018) Full Text: DOI arXiv
Beaton, Nicholas R.; Owczarek, Aleksander L. Exact solution of directed walk models of polymeric zipping with pulling in two and three dimensions. (English) Zbl 1527.82026 Physica A 566, Article ID 125635, 16 p. (2021). MSC: 82B41 82B23 82B27 82D60 PDFBibTeX XMLCite \textit{N. R. Beaton} and \textit{A. L. Owczarek}, Physica A 566, Article ID 125635, 16 p. (2021; Zbl 1527.82026) Full Text: DOI arXiv
Bradly, Chris J.; Owczarek, A. L. Effect of lattice inhomogeneity on collapsed phases of semi-stiff ISAW polymers. (English) Zbl 1459.82346 J. Stat. Phys. 182, No. 2, Paper No. 27, 13 p. (2021). MSC: 82D60 82B20 82B41 PDFBibTeX XMLCite \textit{C. J. Bradly} and \textit{A. L. Owczarek}, J. Stat. Phys. 182, No. 2, Paper No. 27, 13 p. (2021; Zbl 1459.82346) Full Text: DOI arXiv
Bradly, C. J.; Janse van Rensburg, E. J.; Owczarek, A. L.; Whittington, S. G. Adsorbed self-avoiding walks pulled at an interior vertex. (English) Zbl 1509.82132 J. Phys. A, Math. Theor. 52, No. 40, Article ID 405001, 14 p. (2019). MSC: 82M31 65C05 PDFBibTeX XMLCite \textit{C. J. Bradly} et al., J. Phys. A, Math. Theor. 52, No. 40, Article ID 405001, 14 p. (2019; Zbl 1509.82132) Full Text: DOI arXiv
Bradly, C. J.; Janse van Rensburg, E. J.; Owczarek, A. L.; Whittington, S. G. Force-induced desorption of 3-star polymers in two dimensions. (English) Zbl 1509.82126 J. Phys. A, Math. Theor. 52, No. 31, Article ID 315002, 13 p. (2019). MSC: 82D60 80M31 82M31 PDFBibTeX XMLCite \textit{C. J. Bradly} et al., J. Phys. A, Math. Theor. 52, No. 31, Article ID 315002, 13 p. (2019; Zbl 1509.82126) Full Text: DOI arXiv
Beaton, Nicholas R.; Owczarek, Aleksander L.; Xu, Ruijie Quarter-plane lattice paths with interacting boundaries: Kreweras and friends. (English) Zbl 1436.05008 Sémin. Lothar. Comb. 82B, Article 26, 12 p. (2019). MSC: 05A15 05A19 PDFBibTeX XMLCite \textit{N. R. Beaton} et al., Sémin. Lothar. Comb. 82B, Article 26, 12 p. (2019; Zbl 1436.05008) Full Text: Link
Beaton, N. R.; Owczarek, A. L.; Rechnitzer, A. Exact solution of some quarter plane walks with interacting boundaries. (English) Zbl 1420.05010 Electron. J. Comb. 26, No. 3, Research Paper P3.53, 39 p. (2019). MSC: 05A15 PDFBibTeX XMLCite \textit{N. R. Beaton} et al., Electron. J. Comb. 26, No. 3, Research Paper P3.53, 39 p. (2019; Zbl 1420.05010) Full Text: arXiv Link
Owczarek, A. L.; Prellberg, T. Exact solution of pulled, directed vesicles with sticky walls in two dimensions. (English) Zbl 1414.92135 J. Math. Phys. 60, No. 3, 033301, 8 p. (2019). MSC: 92C37 92C40 PDFBibTeX XMLCite \textit{A. L. Owczarek} and \textit{T. Prellberg}, J. Math. Phys. 60, No. 3, 033301, 8 p. (2019; Zbl 1414.92135) Full Text: DOI arXiv
Narros, A.; Owczarek, A. L.; Prellberg, T. Anomalous polymer collapse winding angle distributions. (English) Zbl 1391.82057 J. Phys. A, Math. Theor. 51, No. 11, Article ID 114001, 9 p. (2018). MSC: 82D60 82B27 82B41 PDFBibTeX XMLCite \textit{A. Narros} et al., J. Phys. A, Math. Theor. 51, No. 11, Article ID 114001, 9 p. (2018; Zbl 1391.82057) Full Text: DOI arXiv
Dagrosa, E.; Owczarek, A. L.; Prellberg, T. Writhe induced phase transition in unknotted self-avoiding polygons. (English) Zbl 1457.82456 J. Stat. Mech. Theory Exp. 2017, No. 9, Article ID 093206, 20 p. (2017). MSC: 82D60 PDFBibTeX XMLCite \textit{E. Dagrosa} et al., J. Stat. Mech. Theory Exp. 2017, No. 9, Article ID 093206, 20 p. (2017; Zbl 1457.82456) Full Text: DOI arXiv
Dagrosa, E.; Owczarek, A. L.; Prellberg, T. Phase diagram of twist storing lattice polymers in variable solvent quality. (English) Zbl 1457.82455 J. Stat. Mech. Theory Exp. 2017, No. 10, Article ID 103204, 18 p. (2017). MSC: 82D60 PDFBibTeX XMLCite \textit{E. Dagrosa} et al., J. Stat. Mech. Theory Exp. 2017, No. 10, Article ID 103204, 18 p. (2017; Zbl 1457.82455) Full Text: DOI arXiv
Owczarek, Aleksander L.; Rechnitzer, Andrew Force signature of the unzipping transition for strip confined two-dimensional polymers. (English) Zbl 1386.82078 J. Phys. A, Math. Theor. 50, No. 48, Article ID 484001, 24 p. (2017). MSC: 82D60 PDFBibTeX XMLCite \textit{A. L. Owczarek} and \textit{A. Rechnitzer}, J. Phys. A, Math. Theor. 50, No. 48, Article ID 484001, 24 p. (2017; Zbl 1386.82078) Full Text: DOI
Bedini, A.; Owczarek, A. L.; Prellberg, T. Self-attracting polymers in two dimensions with three low-temperature phases. (English) Zbl 1362.82054 J. Phys. A, Math. Theor. 50, No. 9, Article ID 095003, 28 p. (2017). MSC: 82D60 82B41 82B20 82B80 PDFBibTeX XMLCite \textit{A. Bedini} et al., J. Phys. A, Math. Theor. 50, No. 9, Article ID 095003, 28 p. (2017; Zbl 1362.82054) Full Text: DOI arXiv
Lonsdale, H.; Jensen, I.; Essam, J. W.; Owczarek, A. L. Analysis of mean cluster size in directed compact percolation near a damp wall. (English) Zbl 1456.82471 J. Stat. Mech. Theory Exp. 2014, No. 3, Paper No. P03004, 19 p. (2014). MSC: 82B43 PDFBibTeX XMLCite \textit{H. Lonsdale} et al., J. Stat. Mech. Theory Exp. 2014, No. 3, Paper No. P03004, 19 p. (2014; Zbl 1456.82471) Full Text: DOI arXiv
Essam, J. W.; Lonsdale, H.; Owczarek, A. L. Mean length of finite clusters in directed compact percolation near a damp wall. (English) Zbl 1231.82029 J. Stat. Phys. 145, No. 3, 639-646 (2011). MSC: 82B43 82B27 PDFBibTeX XMLCite \textit{J. W. Essam} et al., J. Stat. Phys. 145, No. 3, 639--646 (2011; Zbl 1231.82029) Full Text: DOI
Owczarek, A. L.; Brak, R.; Rechnitzer, A. Self-avoiding walks in slits and slabs with interactive walls. (English) Zbl 1169.82314 J. Math. Chem. 45, No. 1, 113-128 (2009). MSC: 82D60 82B26 82B20 82B41 82B80 PDFBibTeX XMLCite \textit{A. L. Owczarek} et al., J. Math. Chem. 45, No. 1, 113--128 (2009; Zbl 1169.82314) Full Text: DOI Link
Brak, R.; Owczarek, A. L.; Rechnitzer, A. Exact solutions of lattice polymer models. (English) Zbl 1169.82312 J. Math. Chem. 45, No. 1, 39-57 (2009). MSC: 82D60 82B41 82B20 82-08 PDFBibTeX XMLCite \textit{R. Brak} et al., J. Math. Chem. 45, No. 1, 39--57 (2009; Zbl 1169.82312) Full Text: DOI
Oppenheim, A. C.; Brak, R.; Owczarek, A. L. Anisotropic step, surface contact, and area weighted directed walks on the triangular lattice. (English) Zbl 1073.82560 Int. J. Mod. Phys. B 16, No. 9, 1269-1299 (2002). MSC: 82B41 05A15 05A30 33D90 PDFBibTeX XMLCite \textit{A. C. Oppenheim} et al., Int. J. Mod. Phys. B 16, No. 9, 1269--1299 (2002; Zbl 1073.82560) Full Text: DOI
Brak, R.; Essam, J. W.; Owczarek, A. L. Partial difference equation method for lattice path problems. (English) Zbl 0934.05004 Ann. Comb. 3, No. 2-4, 265-275 (1999). Reviewer: I.Strazdins (Riga) MSC: 05A15 39A10 82B41 PDFBibTeX XMLCite \textit{R. Brak} et al., Ann. Comb. 3, No. 2--4, 265--275 (1999; Zbl 0934.05004) Full Text: DOI
Brak, R.; Essam, J. W.; Owczarek, A. L. From the Bethe Ansatz to the Gessel-Viennot theorem. (English) Zbl 0934.05003 Ann. Comb. 3, No. 2-4, 251-263 (1999). Reviewer: I.Strazdins (Riga) MSC: 05A15 82B41 PDFBibTeX XMLCite \textit{R. Brak} et al., Ann. Comb. 3, No. 2--4, 251--263 (1999; Zbl 0934.05003) Full Text: DOI arXiv
Prellberg, Thomas; Owczarek, Aleksander L. Stacking models of vesicles and compact clusters. (English) Zbl 1106.82304 J. Stat. Phys. 80, No. 3-4, 755-779 (1995). MSC: 82B05 82B20 PDFBibTeX XMLCite \textit{T. Prellberg} and \textit{A. L. Owczarek}, J. Stat. Phys. 80, No. 3--4, 755--779 (1995; Zbl 1106.82304) Full Text: DOI
Owczarek, A. L.; Prellberg, T. The collapse point of interacting trails in two dimensions from kinetic growth simulations. (English) Zbl 1106.82371 J. Stat. Phys. 79, No. 5-6, 951-967 (1995). MSC: 82C44 82D60 PDFBibTeX XMLCite \textit{A. L. Owczarek} and \textit{T. Prellberg}, J. Stat. Phys. 79, No. 5--6, 951--967 (1995; Zbl 1106.82371) Full Text: DOI
Brak, R.; Owczarek, A. L.; Prellberg, T. Exact scaling behavior of partially convex vesicles. (English) Zbl 0839.60099 J. Stat. Phys. 76, No. 5-6, 1101-1128 (1994). MSC: 82B26 60K40 PDFBibTeX XMLCite \textit{R. Brak} et al., J. Stat. Phys. 76, No. 5--6, 1101--1128 (1994; Zbl 0839.60099) Full Text: DOI
Owczarek, A. L.; Prellberg, T.; Brak, R. The tricritical behavior of self-interacting partially directed walks. (English) Zbl 1101.82337 J. Stat. Phys. 72, No. 3-4, 737-772 (1993). MSC: 82C41 PDFBibTeX XMLCite \textit{A. L. Owczarek} et al., J. Stat. Phys. 72, No. 3--4, 737--772 (1993; Zbl 1101.82337) Full Text: DOI
Owczarek, Aleksander L.; Prellberg, Thomas Exact solution of the discrete \((1+1)\)-dimensional SOS model with field and surface interactions. (English) Zbl 1081.82542 J. Stat. Phys. 70, No. 5-6, 1175-1194 (1993). MSC: 82B23 33D90 82B24 82B27 PDFBibTeX XMLCite \textit{A. L. Owczarek} and \textit{T. Prellberg}, J. Stat. Phys. 70, No. 5--6, 1175--1194 (1993; Zbl 1081.82542) Full Text: DOI
Owczarek, A. L.; Baxter, R. J. A class of interaction-round-a-face models and its equivalence with an ice-type model. (English) Zbl 0962.82507 J. Stat. Phys. 49, No. 5-6, 1093-1115 (1987). MSC: 82B20 60K35 PDFBibTeX XMLCite \textit{A. L. Owczarek} and \textit{R. J. Baxter}, J. Stat. Phys. 49, No. 5--6, 1093--1115 (1987; Zbl 0962.82507) Full Text: DOI