Thordur Jonsson

List of scientific publications



A. Research articles

  1. T. Jonsson, O. McBryan, F. Zirilli and J. Hubbard, An existence theorem for multimeron solutions to classical Yang-Mills equations. Commun. Math. Phys. 68 259-273 (1979).
  2. T. Jonsson, Merons and elliptic equations with infinite action, Ph.D. Thesis, Harvard University (1980).
  3. T. Jonsson, Merons at finite temperature, Lett. Math. Phys. 5, 81-83 (1981).
  4. T. Jonsson, Some degenerate two point boundary value problems, J. Diff. Equations 44 1-8 (1982).
  5. T. Jonsson, Comparison of the length of infinite geodesics in manifolds with nonpositive curvature, Math. Scand. 51, 151-157 (1982).
  6. T. Jonsson, An alternative to Parisi's solution of the SK-model, Phys. Lett. A 91, 185-186 (1982).
  7. T. Jonsson, Some nonlinear differential equations in the hyperbolic plane, Nonlin. Anal. Th. Meth. Appl. 7, 463-471 (1983).
  8. T. Jonsson, Hedgehogs in a three dimensional anisotropic spin system, Commun. Math. Phys. 90, 175-186 (1983).
  9. T. Jonsson, Convergence of a cluster expansion for randomly dilute Ising models, Phys. Lett. A 94, 229-231 (1983).
  10. B. Durhuus, J. Fröhlich and T. Jonsson, Self-avoiding and planar random surfaces on the lattice, Nucl. Phys. 225, 185-203 (1983).
  11. B. Durhuus, J. Fröhlich and T. Jonsson, Critical properties of a model of planar random surfaces on the lattice, Phys. Lett. B137, 93-97 (1984).
  12. B. Durhuus, J. Fröhlich and T. Jonsson, Critical behaviour in a model of planar random surfaces, Nucl. Phys. 240, 453-481 (1984).
  13. B. Durhuus, J. Fröhlich and T. Jonsson, Reflection positivity and tree inequalities in a theory of planar random surfaces, Nucl. Phys. 257, 779-799 (1985).
  14. T. Jonsson, Ornstein-Zernike theory for the PRS-model, Commun. Math. Phys. 106, 679-689 (1986).
  15. B. Durhuus and T. Jonsson, Planar random surfaces with extrinsic action, Phys. Lett. B 180, 385-389 (1986).
  16. J. Ambjørn, B. Durhuus and T. Jonsson, Random paths with curvature dependent action, Europhys. Lett. 3, 1059-1065 (1987).
  17. J. Ambjørn, B. Durhuus and T. Jonsson, Scaling of the string tension in a new class of regularized string theories, Phys. Rev. Lett. 58, 2619-2623 (1987).
  18. J. Ambjørn, B. Durhuus and T. Jonsson, Statistical mechanics of paths with curvature dependent action, J. Phys. A Math. Gen. 21, 981-1000 (1988).
  19. T. Jonsson, Statistical mechanics of surfaces with curvature dependent action. In: Proceedings of a workshop on statistical physics, ed. by H. Bohr and O. Mouritsen (The Technical University of Denmark, 1987).
  20. J. Ambjørn, B. Durhuus, J. Fröhlich and T. Jonsson, Regularized strings with extrinsic curvature, Nucl. Phys. 290, 480-506 (1988).
  21. J. Ambjørn, B. Durhuus and T. Jonsson, Kinematical and numerical study of the crumpling transition in crystalline surfaces, Nucl. Phys. B316, 526-558 (1989).
  22. J. Ambjørn, B. Durhuus, J. Fröhlich and T. Jonsson, Renormalization group analysis of lattice models of two-dimensional membranes, J. Stat. Phys. 55, 29-85 (1989).
  23. T. Jonsson, A lower bound on the size of crystalline surfaces, Phys. Lett. B 221, 35-38 (1989).
  24. J. Ambjørn, B. Durhuus and T. Jonsson, A random walk representation of the Dirac propagator, Nucl. Phys. 330, 509-522 (1990).
  25. T. Jonsson, Random walk representation of propagators for particles with spin. In: Probabilistic methods in quantum field theory and quantum gravity, ed. by P. H. Damgaard, H. Hüffel and A. Rosenblum (Plenum Press, New York, 1990).
  26. J. Ambjørn, B. Durhuus and T. Jonsson, Summing over all genera for d>1: a toy model, Phys. Lett. B 244, 403-412 (1990).
  27. J. Ambjørn, B. Durhuus and T. Jonsson, Three dimensional quantum gravity and generalized matrix models, Mod. Phys. Lett. A6, 1133-1146 (1991).
  28. T. Jonsson, Topological lattice theories in two dimensions, Phys. Lett. B265, 141-145 (1991).
  29. T. Jonsson, Topological field theories on simplicial surfaces, Nucl. Phys. B (Proc. Suppl.) 25A, 176-181 (1992).
  30. T. Jonsson, Intrinsic and extrinsic geometry of random surfaces, Phys. Lett. B278, 89-93 (1992). - hep-th/9111011
  31. J. Ambjørn, B. Durhuus, T. Jonsson and G. Thorleifsson, Matter fields with c>1 coupled to 2d gravity, Nucl. Phys. B398 (1993) 568-593.- hep-th/9208030
  32. B. Durhuus and T. Jonsson, On subdivision invariant actions for random surfaces, Phys. Lett. B297 (1992) 271-274. - hep-th/9209094
  33. B. Durhuus and T. Jonsson, Classification and construction of unitary topological field theories in two dimensions, J. Math. Phys. 35 (1994) 5306-5313. - hep-th/9308043
  34. J. Ambjørn, B. Durhuus and T. Jonsson, A solvable 2d quantum gravity model with γ >0, Mod. Phys. Lett. A 9 (1994) 1221-1228. - hep-th/9401137
  35. B. Durhuus and T. Jonsson, Remarks on the entropy of 3-manifolds, Nucl. Phys. B445 (1995) 182-192. - hep-th/9410110
  36. T. Jonsson og J. Wheater, The phase diagram of an Ising model on a polymerized random surface, Phys. Lett. B345 (1995) 227-232. - hep-th/9411013
  37. T. Jonsson og S. F. Marinosson, Correlation functions in a model of an earthquake fault, Phys. Lett. A207 (1995) 165-172.
  38. B. Durhuus and T. Jonsson, Branched polymers on branched polymers, Mod. Phys. Lett. A11 (1996) 2361-2368. - hep-th/9607081
  39. T. Jonsson og S. F. Marinosson, Scaling and correlation functions in a model of a two-dimensional earthquake fault, Physica Scripta 58 (1998) 282-288. chao-dyn/9703009
  40. T. Jonsson and J. Wheater, The area distribution for directed random walks, J. Stat. Phys. 92 (1998) 713-725.
  41. T. Jonsson and J. Wheater, The spectral dimension of the branched polymer phase of two-dimensional quantum gravity, Nucl. Phys. B515 [FS] (1998) 549-574. hep-lat/9710024
  42. T. Jonsson and J. Wheater, The spectral dimension on branched polymer ensembles. In: P. H. Damgaard and J. Jurkiewicz (ed.), New developments in quantum field theory -. NATO ASI Series vol. 366, Plenum Press, New York and London (1998) 341-348.
  43. B. Durhuus and T. Jonsson, A polymer gas on a random surface, Mod. Phys. Lett. A13 (1998) 153-157. - hep-th/9801130
  44. T. Jonsson, On the width of handles in two-dimensional quantum gravity, Phys. Lett. B425 (1998) 265-268. - hep-th/9801150
  45. T. Jonsson and G. Savvidy, Loop transfer matrix and gonihedric loop diffusion, Physi. Lett. B449 (1999) 253-259. - cond-mat/9806041
  46. T. Jonsson and G. Savvidy, The spectrum of a transfer matrix for loops, Nucl.Phys. B575 (2000) 661-672. - hep-th/9907031
  47. T. Jonsson, Introduction to random surfaces. In: M-theory and quantum geometry ed. by L. Thorlacius and T. Jonsson, NATO Science Series, Series C: Mathematical and Physical Sciences vol. 556, Kluwer Academic Publishers (2000). pdf-file
  48. B. Durhuus and T. Jonsson, Discrete approximations to integrals over unparametrized paths, J. Math. Phys. 42 (2001) 3769-3788. - math-ph/0010019
  49. B. Durhuus, T. Jonsson and R. Nest, Noncommutative scalar solitons: existence and nonexistence, Phys. Lett. B500 (2001) 320-325. - hep-th/0011139
  50. T. Jonsson, Diffusion of loops, Theor. and Math. Phys. 128 (2001) 883-889. pdf-file
  51. B. Durhuus, T. Jonsson and R. Nest, The existence and stability of noncommutative scalar solitons, Commun. Math. Phys. 223 (2003) 49-78. - hep-th/0107121
  52. B. Durhuus and T. Jonsson, A note on noncommutative solitons, Phys. Lett. B539 (2002) 277-280. - hep-th/0204096
  53. Peter Austing, Thordur Jonsson, Larus Thorlacius, Scalar solitons on the fuzzy sphere, JHEP 0210 (2002) 073. - hep-th/0206060
  54. T. Jonsson, Continuum branched polymers, Acta Physica Polonoica, 34(2003) 4939-4947. pdf-file
  55. J. M. Grimstrup, T. Jonsson and L. Thorlacius, The Seiberg-Witten map on the fuzzy sphere, JHEP 0312 (2003) 001. - hep-th/0310179
  56. B. Durhuus and T. Jonsson, Noncommutative waves have infinite propagation speed, JHEP 10 (2004) 050.- hep-th/0408190
  57. B. Durhuus, T. Jonsson and J. Wheater, Random walks on combs, J.Phys.A: Math. Gen. 39 (2006) 1009-1037. - hep-th/0509191
  58. B. Durhuus, T. Jonsson and J. Wheater, The spectral dimension of generic trees, J. Stat. Phys. 128 (2007) 1237-1260. math-ph/0607020
  59. B. Durhuus, T. Jonsson and J. Wheater, On the spectral dimension of random trees, DMTCS proc. AG (2006) 183-192. pdf-file
  60. F. David, P. Di Francesco, E. Guitter and T. Jonsson, Mass distribution exponents for growing trees, J. Stat. Mech. (2007) P02011. cond-mat/0612412v2
  61. T. Jonsson and S.Ö. Stefánsson, The spectral dimension of random brushes, J. Phys. A: Math. Theor. 41 (2008) 045005. 0709.3678
  62. F. David, W.M.B. Dukes, T. Jonsson and S.Ö. Stefánsson, Random tree growth by vertex splitting, J. Stat. Mech. (2009) P04009. 0811.3183
  63. T. Jonsson and S.Ö. Stefánsson, Appearance of vertices of infinite order in a model of random trees, J. Phys. A: Math. Theor. 42 (2009) 485006. 0908.3847
  64. B. Durhuus, T. Jonsson and J. Wheater, On the spectral dimension of causal triangulatins, J. Stat. Phys. 139 (2010) 859-881. 0908.3643
  65. T. Jonsson and S.Ö. Stefánsson, Condensation in nongeneric trees, J. Stat. Phys. 142 (2011) 277-313. 1009.1826
  66. S. Janson, T. Jonsson and S.Ö. Stefánsson, Random trees with superexponential branching weights, J. Phys. A: Math. Theor. 44 (2011) 485002 1104.2810

B. Popular articles, textbooks, monographs, reports

  1. Thordur Jonsson, What is quantum field theory?, Náttúrufraedingurinn 51, 123-131 (1981) (in Icelandic).
  2. Thordur Jonsson, Magnetism and mathematics - Why are magnets magnetic?, Nordisk Matematisk Tidsskrift 30, 167-174 (1982) (in Danish).
  3. Thordur Jonsson, What is an elementary particle? Náttúrufraedingurinn 55, 31-39 (1985) (in Icelandic).
  4. Thordur Jonsson, String theory - The theory of everything or nothing. In: Edlisfraedi á Islandi IV, ed. by Jakob Yngvason and Thorsteinn Vilhjalmsson (The Icelandic Physical Society, Reykjavík, 1989) (in Icelandic).
  5. Jakob Yngvason and Thordur Jonsson, Waves and distributions - lecture notes on the mathematical theory of waves (Haskolafjölritun, Reykjavík, 1990) (in Icelandic).
  6. Thordur Jonsson, The Physics of Space and Time - Lectures on the Special Theory of Relativity (Fjölritunarstofa Daniels Halldorssonar, Reykjavík, 1993) (in Icelandic).
  7. Thordur Jonsson and Jakob Yngvason, Waves and distributions. World Scientific Publishing, Singapore (1995).
  8. Thordur Jonsson and John F. Wheater, Gutenberg-Richter law in a random walk model for earthquakes, Oxford University preprint OUTP-96-39P.
  9. J. Ambjørn, B. Durhuus and T. Jonsson, Quantum Geometry - A statistical field theory approach. Monographs in mathematical physics, Cambridge University Press, Cambridge (1997).
  10. Halldor Orn Olafsson and Thordur Jonsson, Neural networks and chaotic time series. Science Institute, University of Iceland, report, 1995 (In Icelandic).
  11. Thordur Jonsson, The Physics of Space and Time - Lectures on the Special Theory of Relativity, 2nd ed. Icelandic University Press, Reykjavik (1996) (In Icelandic).
  12. J. Ambjørn, B. Durhuus and T. Jonsson, Branched polymers re-revisited, Niels Bohr Institute preprint NBI-HE-99-36 [hep-th/9909195]
  13. Lárus Thorlacius, Peter Austing og Þórður Jónsson, Solitons on the fuzzy sphere, Physics in Iceland X, ed. by Ari Ólafsson, The Icelandic Physical Society 2002 (in Icelandic).