Publications for Iwan Jensen

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Book Chapters

   I have co-authored 4 chapters in the book Polygons, Polyominoes and Polycubes,
   Lecture Notes in Physics, Vol. 775, Ed. A J Guttmann, Springer (Berlin), 2009.

I G Enting and I Jensen, Exact Enumerations, Chapter 7, 143-179.

A J Guttmann and I Jensen, Series Analysis, Chapter 8, 181-202.

A J Guttmann and I Jensen, Effect of Confinement: Polygons in Strips, Slabs and Rectangles, Chapter 10, 235-246.

A J Guttmann and I Jensen, Appendix: Series Data and Growth Constant, Amplitude and Exponent Estimates, Chapter 16, 469-482.

 

Submitted Articles

 93. I Jensen
  A new transfer-matrix algorithm for exact enumerations: self-avoiding walks on the square lattice
  arXiv: 1309.6709

Published and Refereed Articles

2017

 92. I Jensen
  Three friendly walkers
  J. Phys. A 50 024003 (2017) (14pp).      arXiv: 1608.01438

2016

 91. A J Guttmann, I Jensen, J-M Maillard and J Pantone
  Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?
  J. Phys. A 49 504002 (2016) (36pp).      arXiv: 1607.04168

 90. I Jensen
  Square lattice self-avoiding walks and biased differential approximants
 J. Phys. A 49 424003 (2016) (13pp).       arXiv: 1607.01109

2015

 89. N R Beaton, A J Guttmann, I Jensen and G F Lawler
  Compressed self-avoiding walks, bridges and polygons
 J. Phys. A 48 454001 (2015) (27pp).       arXiv: 1506.00296

2014

 88. M Assis, J L Jacobsen, I Jensen, J-M Maillard, B M McCoy
  Integrability vs non-integrability: Hard hexagons and hard squares compared
 J. Phys. A 47 445001 (2014) (53pp).       arXiv: 1406.5566


 87. H Lonsdale, I Jensen, J W Essam and A L Owczarek
  Analysis of mean cluster size in directed compact percolation near a damp wall
  J. Stat. Mech. P03004 (2014) (19pp).      arXiv: 1401.4793

 86. A J Guttmann, I Jensen and S G Whittington
  Pulling adsorbed self-avoiding walks from a surface
  J. Phys. A 47 015004 (2014) (15pp).       arXiv: 1309.7401

2013

 85. M Assis, J L Jacobsen, I Jensen, J-M Maillard, B M McCoy
  The hard hexagon partition function for complex fugacity
  J. Phys. A 46 445202 (2013) (46pp).       arXiv: 1306.6389

 84. I Jensen, W G Dantas, C M Marques and J F Stilck
  Pressure exerted by a grafted polymer on the limiting line of a semi-infinite square lattice
  J. Phys. A 46 115004 (2013) (13pp).       arXiv: 1301.3432

2012

 83. I Jensen
  Comment on `Series expansions from the corner transfer matrixrenormalization group method: the hard-squares model'
  J. Phys. A 45 508001 (2012) (5pp).       arXiv: 1208.1060

 82. N Clisby and I Jensen
  A new transfer-matrix algorithm for exact enumerations: Self-avoiding polygons on the square lattice
  J. Phys. A 45 115202 (2012) (15pp).       arXiv: 1111.5877

 81. N Beaton, A J Guttmann and I Jensen
  Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates
  J. Phys. A 45 055208 (2012) (12pp).       arXiv: 1110.6695

 80. N Beaton, A J Guttmann and I Jensen
  A numerical adaptation of SAW identities from the honeycomb to other 2D lattices
  J. Phys. A 45 035201 (2012) (18pp).       arXiv: 1110.1141

2010

 79. I Jensen
  Fuchsian differential equations from modular arithmetic
  Contemporary Mathematics 520 153-171 (2010).      
 78. I Jensen, D Giri, and S Kumar
  Role of pulling direction in understanding the ainisotropy of the resistance of proteins to force-induced mechanical unfolding
  Mod. Phys. Lett. B 24 379-399 (2010).      

 77. B Nickel, I. Jensen, S Boukraa, A J Guttmann, S Hassani, I Jensen, J-M Maillard, and N Zenine
  Square lattice Ising Model χ(5) ODE in exact arithmetic
  J. Phys. A 43 195205 (2010) (24pp).       arXiv: 1001.0161

 

76.  S Boukraa, S Hassani, I Jensen, J-M Maillard, and N Zenine
  High order Fuchsian equations for the square lattice Ising model: χ(6)
  J. Phys. A 43 115201 (2010) (22pp).       arXiv: 0912.4968

2009

75.  A Bostan, S Boukraa, A J Guttmann, S Hassani, I Jensen, J-M Maillard, and N Zenine
  High order Fuchsian equations for the square lattice Ising model: χ(5)
  J. Phys. A 42 275209 (2009) (32pp).       arXiv: 0904.1601

74. J Krawczyk, I Jensen, A L Owczarek and S Kumar
  Pulling self-interacting polymers in two dimensions
  Phys. Rev. E 79, 031912 (2009) (9pp).       arXiv: 0812.1614

 73. I Jensen
  A parallel algorithm for the enumeration of benzenoid hydrocarbons
  J. Stat. Mech. (2009) P02065 (15pp).       arXiv:0808.0963

 72. T M Garoni, A J Guttmann, I Jensen and J C Dethridge
  Prudent walks and polygons
  J. Phys. A 42 095205 (2009) (16pp).       arXiv: 0810.3137

 71. A J Guttmann, J L Jacobsen, I Jensen and S Kumar
  Modeling force-induced bio-polymer unfolding
  J. Math. Chem. 45 223-237 (2009).       arXiv:0711.3482

 

  2008

 70. S Boukraa, A J Guttmann, S Hassani, I Jensen, J-M Maillard, B Nickel and N Zenine
  Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
  J. Phys. A. 41 455202 (2008) (51pp).       arXiv:0808.0763

 69. R Rajesh, D Giri, I Jensen and S Kumar
  Role of pulling direction in understanding the energy landscape of proteins
  Phys. Rev E 78 021905 (2008) (8pp).       arXiv:0806.4677

 68. I Jensen and A Rechnitzer
  Exact perimeter generating function for a model of punctured staircase polygons
  J. Phys. A: Math. Theor. 41 215002 (2008) (12pp).       arXiv:cond-mat/0610605v2

 67. W R G James, I Jensen and A J Guttmann
  Exact generating function for 2-convex polygons
  J. Phys. A: Math. Theor. 41 055001 (2008) (26pp).       arXiv:0805.1259
An extended version ``Families of m-convex polygons: m=2." can be found here arXiv:0710.4606

 66. C Richard, I Jensen and A J Guttmann
  Area distribution and scaling function for punctured polygons
  Elec. J. Comb. 15(1), R53 (2008) (50pp).       math.CO/0701633

 

  2007

 65. S Kumar, I Jensen, J L Jacobsen and A J Guttmann
  Role of conformational entropy in force-induced bio-polymer unfolding
  Phys. Rev. Lett. 98, 128101 (2007).       cond-mat/0702436

 

  2006

 64. I Jensen
  Honeycomb lattice polygons and walks as a test of series analysis techniques
  J. Phys: Conf. Ser. 42, 163-178 (2006).       cond-mat/0510724
Presented at "Counting Complexity: An international workshop on statistical mechanics and combinatorics." In celebration of Prof. Tony Guttmann's 60th birthday.

 63. I Jensen and R M Ziff
  Universal amplitude ratio Γ-+ for two-dimensional percolation
  Phys. Rev. E 74, 020101(R) (2006) (4pp).       cond-mat/0607146

 62. A J Guttmann and I Jensen
  Exact solution of two planar polygon models
  Differential Geometry and Physics, Nankai Tracts in Mathematics - Vol 10, p221-231 (2006). Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005. Eds. Mo-lin Ge and Weiping Zhang        

 61. A J Guttmann and I Jensen
  The perimeter generating function of punctured staircase polygons
  J. Phys. A 39, 3871-3882 (2006).       cond-mat/0603833

 60. A J Guttmann and I Jensen
  Fuchsian differential equation for the perimeter generating function of three-choice polygons
  Séminaire Lotharingien de Combinatoire 54, Article B54c (2006).       math.CO/0506317

 

  2005

 59. I Jensen
  Perimeter generating functions for the mean-squared radius of gyration of convex polygons
  J. Phys. A. 38, L769-L775 (2005).       cond-mat/0509714

 58. S Caracciolo, A J Guttmann, I Jensen, A Pelissetto, A N Rogers, and A D Sokal
  Correction-to-scaling exponents for two-dimensional self-avoiding walks
  J. Stat. Phys. 120, 1037-1100 (2005).       cond-mat/0409355

 57. M Bousquet-Mélou, A J Guttmann and I Jensen
  Self-avoiding walks crossing a square
  J. Phys. A 38, 9159-9181 (2005)      cond-mat/0506341

 56. I Jensen
  Low-density series expansions for directed percolation IV. Temporal disorder
  J. Phys. A 38, 1441-1449 (2005).       cond-mat/0509713

 

  2004

 55. I Jensen
  Improved lower bounds on the connective constants for two-dimensional self-avoiding walks
  J. Phys. A 37, 11521-11529 (2004)       cond-mat/0409381

 54. I Jensen
  Self-avoiding walks and polygons on the triangular lattice
  J. Stat. Mech., P10008 (2004).       cond-mat/0409039

 53. C Richard, I Jensen, and A J Guttmann
  Scaling prediction for self-avoiding polygons revisited
  J. Stat. Mech., P08007 (2004).       cond-mat/0406027

 52. I Jensen
  Low-density series expansions for directed percolation III. Some two-dimensional lattices
  J. Phys. A 37, 6899-6915 (2004).       cond-mat/0405504

 51. I Jensen
  Enumeration of self-avoiding walks on the square lattice
  J. Phys. A 37, 5503-5524 (2004).       cond-mat/0404728

 

  2003

 50. I Jensen
  Counting polyominoes: A parallel implementation for cluster computing
  Lecture Notes in Computer Science, 2659, 203-212 (2003).      

 49. I Jensen
  A parallel algorithm for the enumeration of self-avoiding polygons on the square lattice
  J. Phys. A 36, 5731-5745 (2003).      

 48. C Richard, I Jensen, and A J Guttmann
  Scaling function for self-avoiding polygons
  TH2002: Proceedings of the International Congress on Theoretical Physics (Paris), p267-277 (2003)
ed. D Agonize, V Fricassee and J Inn-Justin, (Basel:Birkhäuser).       cond-mat/0302513

 

  2002

 47. M Vöge, A J Guttmann and I Jensen
  On the number of benzenoid hydrocarbon
  J. Chem. Inf. Comput. Sci., 42, 456-466 (2002).      

     
 46. M E J Newman, I Jensen and R M Ziff
  Percolation and epidemics in a two-dimensional small world
  Phys. Rev. E, 65, 021904 (2002).

 

  2001

 45. I Jensen
  Enumeration of compact self-avoiding walk
  Comput. Phys. Commun., 142, 109-113 (2001).      

 44. I Jensen
  Osculating and neighbour-avoiding polygons on the square lattice
  J. Phys. A 34, 7979-7990 (2001).      

 43. C Richard, A J Guttmann and I Jensen
  Scaling function and universal amplitude combinations for self-avoiding polygons
  J. Phys. A 34, L495-L501 (2001).      

 42. A J Guttmann, I Jensen and A L Owczarek
  Polygonal polyominoes on the square lattice
  J. Phys. A 34, 3721-3733 (2001).      

 41. I Jensen
  Enumerations of lattice animals and tree
  J. Stat. Phys. 102, 865-881 (2001).      

 

  2000

 40. I Jensen
  A transfer matrix approach to the enumeration of plane meander
  J. Phys. A 33, 5953-5963 (2000).      

 39. I Jensen and A J Guttmann
  Statistics of lattice animals (polyominoes) and polygon
  J. Phys. A 33, L257-L263 (2000).      

 38. I Jensen and A J Guttmann
  Critical exponents of plane meanders
  J. Phys. A 33, L187-L192 (2000).      

 37. I Jensen
  Size and area of square lattice polygon
  J. Phys. A 33, 3533-3543 (2000).      

 36. A J Guttmann, I Jensen, L H Wong and I G Enting
  Punctured polygons and polyominoes on the square lattice
  J. Phys. A 33, 1735-1764 (2000).      

 

  1999

 35. I Jensen
  Low-density series expansions for directed percolation II. The square lattice with a wall
  J. Phys. A 32, 6055-6062 (1999).      

 34. I Jensen
  Low-density series expansions for directed percolation I
A new efficient algorithm with applications to the square lattice
  J. Phys. A 32, 5233-5249 (1999).      

 33. I Jensen and A J Guttmann
  Self-avoiding polygons on the square lattice
  J. Phys. A 32, 4867-4876 (1999).      

 

  1998

 32. I Jensen and A J Guttmann
  Self-avoiding walks, neighbour-avoiding walks and trails on semi regular lattice
  J. Phys. A 31, 8137-8145 (1998).      

 31. H Feldmann, A J Guttmann, I Jensen, R Shrock and S-H Tsai
  Study of the Potts model on the honeycomb and triangular lattices:
Low-temperature series and partition function zeros
  J. Phys. A 31, 2287-2310 (1998).      

 

  1997

 30. I Jensen
  Series expansions for the percolation probability of a generalized Domany-Kinzel cellular automato
  J. Phys. A 30, 8471-8478 (1997).      

 29. I Jensen, A J Guttmann, and I G Enting
  The Potts model on kagome and honeycomb lattice
  J. Phys. A 30, 8067-8083 (1997).      

 

  1996

 28. I Jensen
  Low-density series expansions for directed percolation on square and triangular lattice
  J. Phys. A 29, 7013-7040 (1996).      

 27. I Jensen
  Temporally disordered bond percolation on the directed square lattice
  Phys. Rev. Lett. 77, 4988-4991 (1996).      

 26. I Jensen and A J Guttmann
  Extrapolation procedure for low-temperature series for the square lattice spin-1 Ising model
  J. Phys. A 29, 3817-3836 (1996).      

 25. I Jensen, I G Enting, and A J Guttmann
  Low-temperature series expansions for the square lattice Ising model with spin S > 1
  J. Phys. A 29, 3805-3815 (1996).      

 24. J W Essam, A J Guttmann, I Jensen and D TanlaKishani
  Directed percolation near a wall
  J. Phys. A 29, 1619-1628 (1996).      

 23. I Jensen and A J Guttmann
  Series expansions of the percolation probability on the directed triangular lattice
  J. Phys. A 29, 497 (1996)      

 22. I Jensen, I G Enting, and A J Guttmann
  The finite lattice method of series expansions
  in Computational Techniques and Applications: CTAC95, Eds. R L May and A K Easton, (World Scientific, Singapore), 411-417 (1996).      

 21. I Jensen and A J Guttmann
  Series expansions for two-dimensional directed percolation
  Nucl. Phys. B (Proc. Suppl.) 47, 835-837 (1996)      

 

  1995

 20. I Jensen and A J Guttmann
  Series expansions of the percolation probability for directed square and honeycomb lattices
  J. Phys. A 28, 4813-4833 (1995).      

 

  1994

 19. I G Enting, A J Guttmann, and I Jensen
  Low-temperature series expansions for the spin-1 Ising model
  J. Phys. A 27, 6987-7006 (1994).      

 18. I. Jensen
  Critical exponents for branching annihilating random walks with an even number of offspring
  Phys. Rev. E 50, 3623-3634 (1994).      

 17. I Jensen
  Critical behavior of nonequilibrium models with infinitely many absorbing states.
  Int. J. Mod. Phys. B8, 3299-3311 (1994).      

 16. I Jensen and R Dickman
  Series analysis of the generalized contact process
  Physica A203, 175-188 (1994).      

 15. I Jensen
  Critical behaviour of a surface reaction model with infinitely many absorbing states
  J. Phys. A 27, L61-68 (1994).      

 

  1993

 14. I Jensen
  Conservation laws and universality in branching annihilation random walk
  J. Phys. A 26, 3921-3930 (1993).      

 13. I Jensen and R Dickman
  Nonequilibrium phase transitions in systems with infinitely many absorbing state
  Phys. Rev. E 48, 1710-1725 (1993).      

 12. I Jensen
  Critical behavior of the pair contact process
  Phys. Rev. Lett. 70, 1465-1468 (1993).      

 11. I Jensen and R Dickman
  Time-dependent perturbation theory for diffusive nonequilibrium lattice model
  J. Phys. A 26, L151-157 (1993).      

 10. I Jensen and R Dickman
  Time-dependent perturbation theory for nonequilibrium lattice models
  J. Stat. Phys. 71, 89-127 (1993).      

 9. I Jensen
  Critical behavior of branching annihilating random walks with an odd number of offspring
  Phys. Rev. E 47, R1 (1993).      

 

  1992

 8. I Jensen
  Scaling analysis of time-dependent simulations of the three-dimensional contact process
  Phys. Rev. A 46, 7393-7400 (1992).      

 7. I Jensen
  Critical behavior of the three-dimensional contact process
  Phys. Rev. A 45, R563-566 (1992).      

 

  1991

 6. R Dickman and I Jensen
  Time-dependent perturbation theory for nonequilibrium lattice model
  Phys. Rev. Lett. 67, 2391-2394 (1991).      

 5. R Dickman, J-S Wang and I Jensen
  Random sequential adsorption: Series and virial expansion
  J. Chem. Phys. 94, 8252-8257 (1991).      

 4. I Jensen
  Non-equilibrium critical behaviour on fractal lattice
  J. Phys. A 24, L1111-1117 (1991).      

 3. I Jensen
  Universality class of a one-dimensional cellular automaton
  Phys. Rev. A 43, 3187-3189 (1991).      

 2. I Jensen and H C Fogedby
  Kinetic phase transitions in a surface-reaction model with diffusion:
Computer simulations and mean-field theory.
  Phys. Rev. A 42, 1969-1975 (1991).      

 

  1990

 1. I Jensen, H C Fogedby and R Dickman
  Critical exponents for an irreversible surface reaction mode
  Phys. Rev. A 41, 3411-3414.