Publications

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  • N. Beaton, A. Guttmann, I. Jensen. Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents. Journal of Physics A: Mathematical and Theoretical, 53, 165002 (20pp), 2020. doi: 10.1088/1751-8121/ab7ad1.

  • N. Beaton, A. Guttmann, I. Jensen. Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents. 2019.

  • A. Guttmann, EJ Janse van Rensburg, I. Jensen, S. Whittington. Polygons pulled from an adsorbing surface. Journal of Physics A: Mathematical and Theoretical, 51, 074001 (30pp), 2018. doi: 10.1088/1751-8121/aaa3b9.

  • I. Jensen. Three friendly walkers. Journal of Physics A: Mathematical and Theoretical, 50, 024003 (14pp), 2017. doi: 10.1088/1751-8121/50/2/024003.

  • M Assis, JL Jacobsen, I. Jensen, J-M Maillard, BM McCoy. Analyticity of the Ising susceptibility: an interpretation. Journal of Physics A: Mathematical and Theoretical, 50, 365203 (22pp), 2017. doi: 10.1088/1751-8121/aa8128.

  • Stephan Mertens, I. Jensen, Robert M Ziff. Universal features of cluster numbers in percolation. Physical Review E, 96, 2017. doi: 10.1103/PhysRevE.96.052119.

  • AJ Guttmann, A. Guttmann, I. Jensen, J-M Maillard, J Pantone. Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?. Journal of Physics A: Mathematical and Theoretical, 49, 504002 (36pp), 2016. doi: 10.1088/1751-8113/49/50/504002.

  • I. Jensen. Square lattice self-avoiding walks and biased differential approximants. Journal of Physics A: Mathematical and Theoretical, 49, 424003 (13pp), 2016. doi: 10.1088/1751-8113/49/42/424003.

  • N. Beaton, A. Guttmann, I. Jensen, Gregory F Lawler. Compressed self-avoiding walks, bridges and polygons. Journal of Physics A: Mathematical and Theoretical, 48, 454001 (27pp), 2015. doi: 10.1088/1751-8113/48/45/454001.

  • N. Beaton, A. Guttmann, I. Jensen, Gregory F Lawler. Compressed self-avoiding walks, bridges and polygons. 2015.

  • A. Guttmann, I. Jensen, S. Whittington. Pulling adsorbed self-avoiding walks from a surface. Journal of Physics A - Mathematical and Theoretical, 47, 015004 (15pp), 2014. doi: 10.1088/1751-8113/47/1/015004.

  • M. Assis, J. Jacobsen, I. Jensen, J. Maillard, BM McCoy. Integrability versus non-integrability: hard hexagons and hard squares compared. Journal of Physics A: Mathematical and Theoretical, 47, 445001 (53pp), 2014. doi: 10.1088/1751-8113/47/44/445001.

  • 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.

  • I. Jensen, WG Dantes, CM Marques, JF Stilck, Wellington G Dantas. Pressure exerted by a grafted polymer on the limiting line of a semi-infinite square lattice. Journal of Physics A - Mathematical and Theoretical, 46, 115004 (13pp), 2013. doi: 10.1088/1751-8113/46/11/115004.

  • M. Assis, J. Jacobsen, I. Jensen, J. Maillard, BM McCoy. The hard hexagon partition function for complex fugacity. Journal of Physics A - Mathematical and Theoretical, 46, 445202 (46pp), 2013. doi: 10.1088/1751-8113/46/44/445202.

  • N. Clisby, I. Jensen. A new transfer-matrix algorithm for exact enumerations: self-avoiding polygons on the square lattice. Journal of Physics A - Mathematical and Theoretical, 45, 115202 (15pp), 2012. doi: 10.1088/1751-8113/45/11/115202.

  • N. Beaton, A. Guttmann, I. Jensen. Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates. Journal of Physics A - Mathematical and Theoretical, 45, 055208 (12pp), 2012. doi: 10.1088/1751-8113/45/5/055208.

  • N. Beaton, A. Guttmann, I. Jensen. A numerical adaptation of self-avoiding walk identities from the honeycomb to other 2D lattices. Journal of Physics A - Mathematical and Theoretical, 45, 035201 (18pp), 2012. doi: 10.1088/1751-8113/45/3/035201.

  • I. Jensen. Comment on `Series expansions from the corner transfer matrix renormalization group method: the hard-squares model'. Journal of Physics A - Mathematical and Theoretical, 45, 508001 (5pp), 2012. doi: 10.1088/1751-8113/45/50/508001.

  • N. Beaton, A. Guttmann, I. Jensen. A numerical adaptation of SAW identities from the honeycomb to other 2D lattices. 2011.

  • N. Beaton, A. Guttmann, I. Jensen. Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates. 2011.

  • I. Jensen, D Giri, S. Kumar. Role of pulling direction in understanding the anisotropy of the resistance of  proteins to force-induced mechanical unfolding. Modern Physics Letters B, 24, 379-399, 2010. doi: 10.1142/S0217984910022469.

  • S Boukraa, S Hassani, I. Jensen, J. Maillard, N Zenine. High order Fuchsian equations for the square lattice Ising model: χ(6). Journal of Physics A - Mathematical and Theoretical, 43, 1-22, 2010. doi: 10.1088/1751-8113/43/11/115201.

  • B Nickel, I. Jensen, S Boukraa, A. Guttmann, S Hassani, J. Maillard, N Zenine. Square lattice Ising model χ(5) ODE in exact arithmetic. Journal of Physics A - Mathematical and Theoretical, 43, 1-24, 2010. doi: 10.1088/1751-8113/43/19/195205.

  • I. Enting , I. Jensen. Exact Enumerations. 775, 143-179, Springer Verlag, 2009. doi: 10.1007/978-1-4020-9927-4_7.

  • A. Guttmann, J. Jacobsen, I. Jensen, S. Kumar. Modeling force-induced bio-polymer unfolding. Journal of Mathematical Chemistry, 45, 223-227, 2009. doi: 10.1007/s10910-008-9377-4.

  • T. Garoni, A. Guttmann, I. Jensen, J. Dethridge. Prudent walks and polygons. Journal of Physics A - Mathematical and Theoretical, 42, 095205 (16pp), 2009. doi: 10.1088/1751-8113/42/9/095205.

  • A. Guttmann, I. Jensen. Series Analysis. 775, 181-202, Springer Science+Business Media, 2009. doi: 10.1007/978-1-4020-9927-4_8.

  • A. Guttmann, I. Jensen. Effect of Confinement: Polygons in Strips, Slabs and Rectangles. 775, 235-246, Springer Science+Business Media, 2009. doi: 10.1007/978-1-4020-9927-4_10.

  • A. Guttmann, I. Jensen. Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates. 469-482, Springer Science+Business Media, 2009.

  • Bostan, Boukraa, A. Guttmann, Hassani, I. Jensen, Maillard, Zenine. High order Fuchsian equations for the square lattice Ising model: χ(5). Journal of Physics A - Mathematical and Theoretical, 42, 275209 (32pp), 2009. doi: 10.1088/1751-8113/42/27/275209.

  • I. Jensen. A parallel algorithm for the enumeration of benzenoid hydrocarbons. Journal of Statistical Mechanics: Theory and Experiment, 2009, P02065 (15 (15pp), 2009. doi: 10.1088/1742-5468/2009/02/P02065.

  • 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.

  • W. James, I. Jensen, A. Guttmann. Exact generating function for 2-convex polygons. Journal of Physics A - Mathematical and Theoretical, 41, 1-26, 2008. doi: 10.1088/1751-8113/41/5/055001.

  • I. Jensen, A. Rechnitzer. Exact perimeter generating function for a model of punctured staircase polygons. Journal of Physics A - Mathematical and Theoretical, 41, 215002 (12pp), 2008. doi: 10.1088/1751-8113/41/21/215002.

  • R Rajesh, D Giri, I. Jensen, S. Kumar. Role of pulling direction in understanding the energy landscape of proteins. Physical Review E, 78, 021905 (8pp), 2008. doi: 10.1103/PhysRevE.78.021905.

  • S Boukraa, A. Guttmann, S Hassani, I. Jensen, J. Maillard, B Nickel, N Zenine. Experimental mathematics on the magnetic susceptibility of the square lattice Ising model. Journal of Physics A - Mathematical and Theoretical, 41, 1-51, 2008. doi: 10.1088/1751-8113/41/45/455202.

  • I. Jensen. Fuchsian differential equations from modular arithmetic. Contemporary Mathematics, 520, 153-171, 2008.

  • C Richard, I. Jensen, A. Guttmann. Area distribution and scaling function for punctured polygons. Electronic Journal of Combinatorics, 15, 2008.

  • Kumar, I. Jensen, Jacobsen, A. Guttmann. Role of conformational entropy in force-induced bio-polymer unfolding. Physical Review Letters, 98, 2007. doi: 10.1103/PhysRevLett.98.128101.

  • I. Jensen, RM Ziff. Universal amplitude ratio Γ-/Γ+ for two-dimensional percolation. Physical Review E, 74, 020101 (4pp), 2006. doi: 10.1103/PhysRevE.74.020101.

  • I. Jensen. Honeycomb lattice polygons and walks as a test of series analysis techniques. Journal of Physics - Conference Series, 42, 163-178, 2006. doi: 10.1088/1742-6596/42/1/016.

  • A. Guttmann, I. Jensen. The perimeter generating function of punctured staircase polygons. Journal of Physics A - Mathematical and General, 39, 3871-3882, 2006. doi: 10.1088/0305-4470/39/15/002.

  • I. Jensen, A. Guttmann. Exact solution of two planar polygon models. 221-231, World Scientific Publishing Co, 2006.

  • I. Jensen. Perimeter generating functions for the mean-squared radius of gyration of convex polygons. Journal of Physics A - Mathematical and General, 38, L769-L775, 2005. doi: 10.1088/0305-4470/38/46/L01.

  • M Bousquet-Melou, A. Guttmann, I. Jensen. Self-avoiding walks crossing a square. Journal of Physics A - Mathematical and General, 38, 9159-9181, 2005. doi: 10.1088/0305-4470/38/42/001.

  • I. Jensen. Low-density series expansions for directed percolation: IV. Temporal disorder. Journal of Physics A - Mathematical and General, 38, 1441-1449, 2005. doi: 10.1088/0305-4470/38/7/003.

  • A. Guttmann, I. Jensen. Fuchsian differential equation for the perimeter generating function of three-choice polygons. Seminaire Lotharingien de Combinatoire, 54, 2005.

  • A. Guttmann, I. Jensen. Exact Solution of Two Planar Polygon Models. Nankai Tracts in Mathematics, 10, 221-231, 2005. doi: 10.1142/9789812772527_0016.

  • A. Guttmann, I. Jensen, M Bousquet-Mélou. Self-avoiding walks crossing a square. FPSAC Proceedings 2005 - 17th Annual International Conference on Formal Power Series and Algebraic Combinatorics, 147-157, 2005.

  • S Caracciolo, A. Guttmann, I. Jensen, A Pelissetto, AN Rogers, AD Sokal. Correction-to-scaling exponents for two-dimensional self-avoiding walks. Journal of Statistical Physics, 120, 1037-1100, 2005. doi: 10.1007/s10955-005-7004-3.

  • Sergio Caracciolo, A. Guttmann, I. Jensen, Andrea Pelissetto, Andrew N Rogers, Alan D Sokal. Correction-to-Scaling Exponents for Two-Dimensional Self-Avoiding Walks. Journal of Statistical Physics, 120, 1037-1100, 2005. doi: 10.1007/s10955-005-7004-3.

  • CR Richard, I. Jensen, A. Guttmann. Scaling prediction for self-avoiding polygons revisited. Journal of Statistical Mechanics: Theory and Experiment, 2004, 1-17, 2004. doi: 10.1088/1742-5468/2004/08/P08007.

  • I. Jensen. Enumeration of self-avoiding walks on the square lattice. Journal of Physics A - Mathematical and General, 37, 5503-5524, 2004. doi: 10.1088/0305-4470/37/21/002.

  • I. Jensen. Self-avoiding walks and polygons on the triangular lattice. Journal of Statistical Mechanics: Theory and Experiment, 2004, 1-25, 2004. doi: 10.1088/1742-5468/2004/10/P10008.

  • I. Jensen. Low-density series expansions for directed percolation: III. Some two-dimensional lattices. Journal of Physics A - Mathematical and General, 37, 6899-6915, 2004. doi: 10.1088/0305-4470/37/27/003.

  • I. Jensen. Improved lower bounds on the connective constants for two-dimensional self-avoiding walks. Journal of Physics A - Mathematical and General, 37, 11521-11529, 2004. doi: 10.1088/0305-4470/37/48/001.

  • I. Jensen. A parallel algorithm for the enumeration of self-avoiding polygons on the square lattice. Journal of Physics A - Mathematical and General, 36, 5731-5745, 2003. doi: 10.1088/0305-4470/36/21/304.

  • I. Jensen. Counting polyominoes: a parallel implementation for cluster computing. Lecture notes in computer science, 2659, 203-212, 2003.

  • M Voege, A. Guttmann, I. Jensen, M Voge, M Vöge. On the number of benzenoid hydrocarbons. Journal of Chemical Information and Computer Sciences, 42, 456-466, 2002. doi: 10.1021/ci010098g.

  • MEJ Newman, I. Jensen, RM ZIFF. Percolation and epidemics in a two-dimensional small world. Physical Review E, 65, 1-7, 2002. doi: 10.1103/PhysRevE.65.021904.

  • C Richard, I. Jensen, A. Guttmann. Scaling function for self-avoiding polygons. International Conference on Theoretical Physics:TH-2002, 267-277, 2002.

  • C Richard, A. Guttmann, I. Jensen. Scaling function and universal amplitude combinations for self-avoiding polygons. Journal of Physics A - Mathematical and General, 34, 495-501, 2001. doi: 10.1088/0305-4470/34/36/102.

  • I. Jensen. Osculating and neighbour-avoiding polygons on the square lattice. Journal of Physics A - Mathematical and General, 34, 7979-7990, 2001. doi: 10.1088/0305-4470/34/39/305.

  • 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. Guttmann, I. Jensen, LH Wong, I. Enting . Punctured polygons and polyominoes on the square lattice. Journal of Physics A: Mathematical and General, 33, 1735-1764, 2000. doi: 10.1088/0305-4470/33/9/303.

  • I. Jensen, A. Guttmann. Statistics of lattice animals (polyominoes) and polygons. Journal of Physics A: Mathematical and General, 33, L257-L263, 2000. doi: 10.1088/0305-4470/33/29/102.

  • I. Jensen. Enumerations of lattice animals and trees. Journal of Statistical Physics, 102, 865-881, 2000. doi: 10.1023/A:1004855020556.

  • I. Jensen. Enumeration of compact self-avoiding walks. Computer Physics Communications, 142, 109-113, 2000. doi: 10.1016/S0010-4655(01)00340-X.

  • I. Jensen. A transfer matrix approach to the enumeration of plane meanders. Journal of Physics A: Mathematical and General, 33, 5953-5963, 2000. doi: 10.1088/0305-4470/33/34/301.

  • I. Jensen, A. Guttmann. Critical exponents of plane meanders. Journal of Physics A: Mathematical and General, 33, L187-L192, 2000. doi: 10.1088/0305-4470/33/21/101.

  • I. Jensen. Size and area of square lattice polygons. Journal of Physics A: Mathematical and General, 33, 3533-3543, 2000. doi: 10.1088/0305-4470/33/18/301.

  • I. Jensen, A. Guttmann. Self-avoiding polygons on the square lattice. Journal of Physics A: Mathematical and General, 32, 4867-4876, 1999. doi: 10.1088/0305-4470/32/26/305.

  • I. Jensen. Low-density series expansions for directed percolation: I. A new efficient algorithm with applications to the square lattice. Journal of Physics A: Mathematical and General, 32, 5233-5249, 1999. doi: 10.1088/0305-4470/32/28/304.

  • I. Jensen. Low-density series expansions for directed percolation: II. The square lattice with a wall. Journal of Physics A: Mathematical and General, 32, 6055-6062, 1999. doi: 10.1088/0305-4470/32/33/304.

  • I. Jensen, A. Guttmann. Self-avoiding walks, neighbour-avoiding walks and trails on semiregular lattices. Journal of Physics A: Mathematical and General, 31, 8137-8145, 1998. doi: 10.1088/0305-4470/31/40/008.

  • H Feldmann, A. Guttmann, I. Jensen, R Shrock, SH Tsai. Study of the Potts model on the honeycomb and triangular lattices: Low-temperature series and partition function zeros. Journal of Physics A: Mathematical and General, 31, 2287-2310, 1998. doi: 10.1088/0305-4470/31/10/007.

  • I. Jensen. Series expansions for the percolation probability of a generalized Domany-Kinzel cellular automaton. Journal of Physics A: Mathematical and General, 30, 8471-8478, 1997. doi: 10.1088/0305-4470/30/24/012.

  • I. Jensen, A. Guttmann, I. Enting . The potts model on Kagome and honeycomb lattices. Journal of Physics A: Mathematical and General, 30, 8067-8083, 1997. doi: 10.1088/0305-4470/30/23/008.

  • HK Aage, BL Andersen, A Blom, I. Jensen. The solubility of struvite. Journal of Radioanalytical and Nuclear Chemistry, 223, 213-215, 1997. doi: 10.1007/BF02223387.

  • I. Jensen, A. Guttmann. Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model. Journal of Physics A: Mathematical and General, 29, 3817-3836, 1996. doi: 10.1088/0305-4470/29/14/010.

  • I. Jensen. Low-density series expansions for directed percolation on square and triangular lattices. Journal of Physics A: Mathematical and General, 29, 7013-7040, 1996. doi: 10.1088/0305-4470/29/22/007.

  • I. Jensen, A. Guttmann, I. Enting . Low-temperature series expansions for the square lattice Ising model with spin S>1. Journal of Physics A: Mathematical and General, 29, 3805-3815, 1996. doi: 10.1088/0305-4470/29/14/009.

  • JW Essam, A. Guttmann, I. Jensen, D TanlaKishani. Directed percolation near a wall. Journal of Physics A: Mathematical and General, 29, 1619-1628, 1996. doi: 10.1088/0305-4470/29/8/010.

  • I. Jensen, A. Guttmann. Series expansions for two-dimensional directed percolation.. Nuclear Physics B, 47, 835-837, 1996. doi: 10.1016/0920-5632(96)00186-7.

  • I. Jensen, A. Guttmann. Series expansions of the percolation probability on the directed triangular lattice. Journal of Physics A: Mathematical and General, 29, 497-517, 1996. doi: 10.1088/0305-4470/29/3/006.

  • I. Jensen, J Iwan. Temporally disordered bond percolation on the directed square lattice. Physical Review Letters, 77, 4988-4991, 1996. doi: 10.1103/PhysRevLett.77.4988.

  • I. Jensen, A. Guttmann. Series expansions of the percolation probability for directed square and honeycomb lattices. Journal of Physics A: Mathematical and General, 28, 4813-4833, 1995. doi: 10.1088/0305-4470/28/17/015.

  • I. Jensen. Critical-behavior of a surface-reaction model with infinitely many absorbing states. Journal of Physics A: Mathematical and General, 27, L61-L68, 1994. doi: 10.1088/0305-4470/27/3/001.

  • I. Jensen. Critical exponents for branching annihilating random-walks with an even number of offspring. Physical Review E, 50, 3623-3633, 1994. doi: 10.1103/PhysRevE.50.3623.

  • I. Enting , A. Guttmann, I. Jensen. Low-Temperature Series Expansions for the Spin-1 Ising-Model. Journal of Physics A: Mathematical and General, 27, 6987-7005, 1994. doi: 10.1088/0305-4470/27/21/014.

  • I. Jensen, R Dickman. Series analysis of the generalized contact process. Physica A, 203, 175-188, 1994. doi: 10.1016/0378-4371(94)90151-1.

  • I. Jensen. Critical-behavior of nonequilibrium models with infinitely many absorbing states. International Journal of Modern Physics B, 8, 3299-3311, 1994. doi: 10.1142/S021797929400138X.

  • I. Jensen. Conservation-laws and universality in branching annihilating random-walks. Journal of Physics A: Mathematical and General, 26, 3921-3930, 1993. doi: 10.1088/0305-4470/26/16/010.

  • I. Jensen. Critical-behavior of branching annihilating random-walks with an odd number of offsprings. Physical Review E, 47, R1-R4, 1993. doi: 10.1103/PhysRevE.47.R1.

  • I. Jensen. Critical-behavior of the pair contact process. Physical Review Letters, 70, 1465-1468, 1993. doi: 10.1103/PhysRevLett.70.1465.

  • I. Jensen, R Dickman. Nonequilibrium phase-transitions in systems with infinitely many absorbing states. Physical Review E, 48, 1710-1725, 1993. doi: 10.1103/PhysRevE.48.1710.

  • I. Jensen, R Dickman. Time-dependent Perturbation-theory for Diffusive Nonequilibrium Lattice Models. Journal of Physics A: Mathematical and General, 26, L151-L157, 1993. doi: 10.1088/0305-4470/26/4/005.

  • I. Jensen, R Dickman. Time-dependent Perturbation-theory for Nonequilibrium Lattice Models. Journal of Statistical Physics, 71, 89-127, 1993. doi: 10.1007/BF01048090.

  • I. Jensen. Scaling analysis of time-dependent simulations of the 3-dimensional contact process. Physical Review A, 46, 7393-7400, 1992. doi: 10.1103/PhysRevA.46.7393.

  • I. Jensen. Critical-behavior of the 3-dimensional contact process. Physical Review A, 45, R563-R566, 1992. doi: 10.1103/PhysRevA.45.R563.

  • R Dickman, J. Wang, I. Jensen. Random sequential adsorption - series and virial expansions. Journal of Chemical Physics, 94, 8252-8257, 1991. doi: 10.1063/1.460109.

  • R Dickman, I. Jensen. Time-dependent Perturbation-theory for Nonequilibrium Lattice Models. Physical Review Letters, 67, 2391-2394, 1991. doi: 10.1103/PhysRevLett.67.2391.

  • I. Jensen. Universality class of a one-dimensional cellular automaton. Physical Review A, 43, 3187-3189, 1991. doi: 10.1103/PhysRevA.43.3187.

  • I. Jensen. Nonequilibrium critical-behavior on fractal lattices. Journal of Physics A: Mathematical and General, 24, L1111-L1117, 1991. doi: 10.1088/0305-4470/24/18/008.

  • I. Jensen, HC Fogedby. Kinetic phase-transitions in a surface-reaction model with diffusion - computer-simulations and mean-field theory. Physical Review A, 42, 1969-1975, 1990. doi: 10.1103/PhysRevA.42.1969.

  • I. Jensen, HC Fogedby, R Dickman. Critical exponents for an irreversible surface-reaction model. Physical Review A, 41, 3411-3414, 1990. doi: 10.1103/PhysRevA.41.3411.