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Professor Gordon Blower

Head of Department, Professor

  1. 2024
  2. Published

    Hasimoto frames and the Gibbs measure of the periodic nonlinear Schrödinger equation

    Blower, G., Khaleghi, A. & Kuchemann-Scales, M., 1/02/2024, In: Journal of Mathematical Physics. 65, 2, 022705.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  3. 2023
  4. Published

    The algebraic structure of the non-commutative nonlinear Schrödinger and modified Korteweg–de Vries hierarchy

    Blower, G. & Malham, S. J. A., 15/12/2023, In: Physica D: Nonlinear Phenomena. 456, 133913.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  5. Published

    Operators, Semigroups, Algebras and Function Theory: Volume from IWOTA Lancaster 2021

    Choi, Y. (ed.), Daws, M. (ed.) & Blower, G. (ed.), 6/12/2023, Cham: Springer Birkhäuser. 264 p. (Operator Theory: Advances and Applications; vol. 292)

    Research output: Book/Report/ProceedingsProceedings

  6. Published

    Transportation on spheres via an entropy formula

    Blower, G., 8/09/2023, In: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 153, 5, p. 1467-1478 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  7. Published

    Linear systems, Hankel products and the sinh-Gordon equation

    Blower, G. & Doust, I., 1/09/2023, In: Journal of Mathematical Analysis and Applications. 525, 1, 25 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  8. 2022
  9. Published

    Linear systems, Hankel products and the sinh-Gordon equation

    Blower, G. & Doust, I., 13/10/2022, 25 p.

    Research output: Working paper

  10. 2021
  11. Forthcoming

    Tau functions for linear systems

    Blower, G. & Newsham, S., 6/03/2021, (Accepted/In press) Operator theory advances and applications: IWOTA Lisbon 2019. Bastos, A., Castro, L. & Karlovich, A. (eds.). Springer Birkhäuser, 27 p. (International Workshop on Operator Theory and Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

  12. 2020
  13. Unpublished

    Convexity and transport for isentropic Euler equations on the sphere

    Blower, G., 21/11/2020, (Unpublished) 52 p.

    Research output: Working paper

  14. Published

    Topics in Cyclic Theory

    Quillen, D. G. & Blower, G., 9/07/2020, Cambridge: Cambridge University Press. 320 p. (London Mathematical Society Student Texts)

    Research output: Book/Report/ProceedingsBook

  15. Published

    On determinant expansions for Hankel operators

    Blower, G. & Chen, Y., 4/02/2020, In: Concrete Operators. 7, 1, p. 13-44 34 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  16. 2019
  17. Published

    Statistical mechanics of the periodic Benjamin Ono equation

    Blower, G., Brett, C. & Doust, I., 19/09/2019, In: Journal of Mathematical Physics. 60, 9, 25 p., 093302.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  18. Published

    Mixed moments of characteristic polynomials of random unitary matrices

    Bailey, E., Bettin, S., Blower, G., Conrey, J., Prokhorov, A., Rubinstein, M. & Snaith, N., 23/08/2019, In: Journal of Mathematical Physics. 60, 8, 27 p., 083509.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  19. Unpublished

    Statistical mechanics of the periodic Benjamin Ono equation

    Blower, G., Doust, I. & Brett, C., 24/01/2019, (Unpublished) 34 p.

    Research output: Working paper

  20. Published

    On determinant expansions of Hankel operators

    Blower, G. & Chen, Y., 17/01/2019, Arxiv, 37 p.

    Research output: Working paper

  21. Published

    Mixed moments of characteristic polynomials of random unitary matrices

    Bailey, E., Bettin, S., Blower, G., Conrey, B., Prokhorov, A., Rubinstein, M. & Snaith, N., 12/01/2019, 30 p.

    Research output: Working paper

  22. 2018
  23. Published

    Center of mass distribution of the Jacobi unitary ensembles: Painleve V, asymptotic expansions

    Zhan, L., Blower, G., Chen, Y. & Zhu, M., 10/2018, In: Journal of Mathematical Physics. 59, 10, 28 p., 103301.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  24. 2017
  25. Published

    Single uer MIMO system, Painleve transcendents and double scaling

    Chen, H., Chen, M., Blower, G. & Chen, Y., 12/2017, In: Journal of Mathematical Physics. 58, 12, 24 p., 123502.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  26. Unpublished

    Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions

    Blower, G., Zhan, L., Chen, Y. & Zhu, M., 9/10/2017, (Unpublished) 34 p.

    Research output: Working paper

  27. Published

    Operational calculus and integral transforms for groups with finite propagation speed

    Blower, G. & Doust, I., 1/10/2017, In: Advances in Pure and Applied Mathematics. 8, 4, p. 265-283 19 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  28. 2016
  29. Published

    Hill's spectral curves and the invariant measure of the periodic KdV equation

    Blower, G., Brett, C. & Doust, I., 26/09/2016, In: Bulletin des Sciences Mathématiques. 140, 7, p. 864-899 36 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  30. Published

    Kernels and point processes associated with Whittaker functions

    Blower, G. & Chen, Y., 09/2016, In: Journal of Mathematical Physics. 57, 9, 18 p., 093505.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  31. Published

    Concentration of the invariant measure for the periodic Zakharov, KdV and cubic NLS equations in 1D and 2D

    Blower, G., 1/06/2016, In: Journal of Mathematical Analysis and Applications. 438, 1, p. 240-266 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  32. 2014
  33. Published

    Logarithmic Sobolev inequalities and spectral concentration for the cubic Shrödinger equation

    Blower, G., Brett, C. & Doust, I., 2014, In: Stochastics. 86, 6, p. 870-881 12 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  34. 2012
  35. Unpublished

    On tau functions associated with linear systems

    Blower, G. & Newsham, S., 5/04/2012, (Unpublished) 66 p.

    Research output: Working paper

  36. Published

    Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation.

    Blower, G., 2012, In: Stochastics: An International Journal of Probability and Stochastic Processes formerly Stochastics and Stochastics Reports. 84, 4, p. 533-542 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  37. 2011
  38. Published

    On tau functions for orthogonal polynomials and matrix models.

    Blower, G., 15/07/2011, In: Journal of Physics A: Mathematical and Theoretical. 44, 28, p. 1-31 31 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  39. Published

    On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI.

    Blower, G., 1/04/2011, In: Journal of Mathematical Analysis and Applications. 376, 1, p. 294-316 23 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  40. 2010
  41. Published

    A maximal theorem for holomorphic semigroups on vector-valued spaces.

    Blower, G., Doust, I. & Taggart, R., 2010, The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009. Hassell, A., McIntosh, A. & Taggart, R. (eds.). 44 ed. Canberra: Australian National University, Vol. 44. p. 105-114 10 p. (Proceedings of the Centre for Mathematics and its Applications).

    Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNChapter

  42. 2009
  43. Published

    Discrete Tracy--Widom operators.

    Blower, G. & McCafferty, A., 10/2009, In: Proceedings of the Edinburgh Mathematical Society. 52, 3, p. 545-559 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  44. Published

    Linear systems and determinantal random point fields.

    Blower, G., 07/2009, In: Journal of Mathematical Analysis and Applications. 355, 1, p. 311-334 24 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  45. 2008
  46. Published

    Hankel operators that commute with second order differential operators.

    Blower, G., 1/06/2008, In: Journal of Mathematical Analysis and Applications. 342, 1, p. 601-614 14 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  47. Published

    Integrable operators and squares of Hankel operators.

    Blower, G., 15/04/2008, In: Journal of Mathematical Analysis and Applications. 340, 2, p. 943-953 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  48. Published

    Integrable operators and the squares of Hankel operators

    Blower, G., 15/04/2008, In: Journal of Mathematical Analysis and Applications. 340, 2, p. 943-953 11 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  49. Published

    Operators associated with soft and hard spectral edges from unitary ensembles.

    Blower, G., 1/01/2008, In: Journal of Mathematical Analysis and Applications. 337, 1, p. 239-265 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  50. 2007
  51. Published

    Free and classical entropy over the circle.

    Blower, G., 17/02/2007, In: Journal of Inequalities in Pure and Applied Mathematics. 8, 1, p. 1-6 6 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  52. 2006
  53. Published

    Concentration of measure on product spaces with applications to Markov processes.

    Blower, G. & Bolley, F., 2006, In: Studia Mathematica. 175, 1, p. 47-72 26 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  54. 2005
  55. Published

    A maximal theorem for holomorphic semigroups.

    Blower, G. & Doust, I., 03/2005, In: The Quarterly Journal of Mathematics. 56, 1, p. 21-30 10 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  56. 2004
  57. Published

    Displacement convexity for the generalized orthogonal ensemble.

    Blower, G., 09/2004, In: Journal of Statistical Physics. 116, 5/6, p. 1359-1387 29 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  58. Published

    Complex uniformly convex Banach spaces and Riesz measures.

    Blower, G. & Ransford, T. J., 06/2004, In: Canadian Journal of Mathematics. 56, 2, p. 225-245 21 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  59. Published

    Complex Uniform Convexity and Riesz Measures

    Blower, G. & Ransford, T., 1/04/2004, In: Canadian Journal of Mathematics. 56, 2, p. 225-245 21 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  60. Published

    Transportation of measure, Young diagrams and random matrices.

    Blower, G., 2004, In: Bernoulli. 10, 5, p. 755-782 28 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  61. 2003
  62. Published

    The Gaussian Isoperimetric Inequality and Transportation

    Blower, G., 1/09/2003, In: Positivity. 7, p. 203–224 22 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  63. Published

    Gaussian isoperimetric inequalities and transportation.

    Blower, G., 09/2003, In: Positivity. 7, 3, p. 203-224 22 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  64. Published

    Almost sure weak convergence for the circular ensembles of Dyson.

    Blower, G., 2003, In: Stochastics: An International Journal of Probability and Stochastic Processes formerly Stochastics and Stochastics Reports. 75, 6, p. 425-433 9 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  65. 2002
  66. Published

    Nonlinear kernel density estimation for binned data: Convergence in entropy

    Blower, G. & Kelsall, J. E., 1/08/2002, In: Bernoulli. 8, 4, p. 423-449 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  67. Published

    Maximal functions and subordination for operator groups.

    Blower, G., 02/2002, In: Proceedings of the Edinburgh Mathematical Society. 45, 1, p. 27-42 16 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  68. Published

    Non-linear kernel density estimation for binned data: convergence in entropy.

    Blower, G. & Kelsall, J. E., 2002, In: Bernoulli. 8, 4, p. 423-449 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  69. 2001
  70. Published

    Almost sure weak convergence for the generalized orthogonal ensemble.

    Blower, G., 1/10/2001, In: Journal of Statistical Physics. 105, 1-2, p. 309-335 27 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  71. Published

    Gaussian ensembles for the non-linear Schrödinger and KdV equations.

    Blower, G., 2001, In: Stochastics and Stochastics Reports. 71, 3-4, p. 177-200 24 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

  72. 2000
  73. Published

    Maximal functions for groups of operators.

    Blower, G., 02/2000, In: Proceedings of the Edinburgh Mathematical Society. 43, 1, p. 57-71 15 p.

    Research output: Contribution to Journal/MagazineJournal articlepeer-review

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