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Research

Professor Gordon Blower

Head of Department, Professor

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  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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Proceedings › Proceedings

  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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/ISSN › Conference contribution/Paper › peer-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 Unpublished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    Blower, G., 21/11/2020, (Unpublished) 52 p.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/Proceedings › Book

  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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-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/Magazine › Journal article › peer-review

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