Items where Author is "Blower, Gordon"

Journal Article

Blower, Gordon and Khaleghi, Azadeh and Kuchemann-Scales, Moe (2024) Hasimoto frames and the Gibbs measure of the periodic nonlinear Schrödinger equation. Journal of Mathematical Physics, 65 (2): 022705. ISSN 0022-2488

Blower, Gordon (2023) Transportation on spheres via an entropy formula. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 153 (5). pp. 1467-1478. ISSN 0308-2105

Blower, Gordon and Doust, Ian (2023) Linear systems, Hankel products and the sinh-Gordon equation. Journal of Mathematical Analysis and Applications, 525 (1). ISSN 0022-247X

Blower, Gordon and Chen, Yang (2020) On determinant expansions for Hankel operators. Concrete Operators, 7 (1). pp. 13-44. ISSN 2299-3282

Blower, Gordon and Brett, Caroline and Doust, Ian (2019) Statistical mechanics of the periodic Benjamin Ono equation. Journal of Mathematical Physics, 60 (9): 093302. ISSN 0022-2488

Bailey, Emma and Bettin, Sandro and Blower, Gordon and Conrey, John and Prokhorov, Alexei and Rubinstein, Michael and Snaith, Nina (2019) Mixed moments of characteristic polynomials of random unitary matrices. Journal of Mathematical Physics, 60 (8): 083509. ISSN 0022-2488

Zhan, Longjun and Blower, Gordon and Chen, Yang and Zhu, Mengkun (2018) Center of mass distribution of the Jacobi unitary ensembles : Painleve V, asymptotic expansions. Journal of Mathematical Physics, 59 (10): 103301. ISSN 0022-2488

Chen, Hongmei and Chen, Min and Blower, Gordon and Chen, Yang (2017) Single uer MIMO system, Painleve transcendents and double scaling. Journal of Mathematical Physics, 58 (12): 123502. ISSN 0022-2488

Blower, Gordon and Doust, Ian (2017) Operational calculus and integral transforms for groups with finite propagation speed. Advances in Pure and Applied Mathematics, 8 (4). pp. 265-283. ISSN 1867-1152

Blower, Gordon and Brett, Caroline and Doust, Ian (2016) Hill's spectral curves and the invariant measure of the periodic KdV equation. Bulletin des Sciences Mathématiques, 140 (7). pp. 864-899. ISSN 0007-4497

Blower, Gordon and Chen, Yang (2016) Kernels and point processes associated with Whittaker functions. Journal of Mathematical Physics, 57 (9): 093505. ISSN 0022-2488

Blower, Gordon (2016) Concentration of the invariant measure for the periodic Zakharov, KdV and cubic NLS equations in 1D and 2D. Journal of Mathematical Analysis and Applications, 438 (1). pp. 240-266. ISSN 0022-247X

Blower, Gordon and Brett, Caroline and Doust, Ian (2014) Logarithmic Sobolev inequalities and spectral concentration for the cubic Shrödinger equation. Stochastics, 86 (6). pp. 870-881. ISSN 1744-2508

Blower, Gordon (2012) Logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg--de Vries equation. Stochastics: An International Journal of Probability and Stochastic Processes formerly Stochastics and Stochastics Reports, 84 (4). pp. 533-542. ISSN 1744-2508

Blower, Gordon (2011) On tau functions for orthogonal polynomials and matrix models. Journal of Physics A: Mathematical and Theoretical, 44 (28). pp. 1-31. ISSN 1751-8113

Blower, Gordon (2011) On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. Journal of Mathematical Analysis and Applications, 376 (1). pp. 294-316. ISSN 0022-247X

Blower, Gordon and McCafferty, Andrew (2009) Discrete Tracy--Widom operators. Proceedings of the Edinburgh Mathematical Society, 52 (3). pp. 545-559. ISSN 1464-3839

Blower, Gordon (2009) Linear systems and determinantal random point fields. Journal of Mathematical Analysis and Applications, 355 (1). pp. 311-334. ISSN 0022-247X

Blower, Gordon (2008) Hankel operators that commute with second order differential operators. Journal of Mathematical Analysis and Applications, 342 (1). pp. 601-614. ISSN 0022-247X

Blower, Gordon (2008) Integrable operators and squares of Hankel operators. Journal of Mathematical Analysis and Applications, 340 (2). pp. 943-953. ISSN 0022-247X

Blower, Gordon (2008) Operators associated with soft and hard spectral edges from unitary ensembles. Journal of Mathematical Analysis and Applications, 337 (1). pp. 239-265. ISSN 0022-247X

Blower, Gordon (2007) Free and classical entropy over the circle. Journal of Inequalities in Pure and Applied Mathematics, 8 (1). pp. 1-6. ISSN 1443-5756

Blower, Gordon and Bolley, Francois (2006) Concentration of measure on product spaces with applications to Markov processes. Studia Mathematica, 175 (1). pp. 47-72. ISSN 0039-3223

Blower, Gordon and Doust, Ian (2005) A maximal theorem for holomorphic semigroups. The Quarterly Journal of Mathematics, 56 (1). pp. 21-30. ISSN 0033-5606

Blower, Gordon (2004) Displacement convexity for the generalized orthogonal ensemble. Journal of Statistical Physics, 116 (5/6). pp. 1359-1387. ISSN 0022-4715

Blower, Gordon and Ransford, T. J. (2004) Complex uniformly convex Banach spaces and Riesz measures. Canadian Journal of Mathematics, 56 (2). pp. 225-245. ISSN 0008-414X

Blower, Gordon (2004) Transportation of measure, Young diagrams and random matrices. Bernoulli, 10 (5). pp. 755-782. ISSN 1350-7265

Blower, Gordon (2003) Gaussian isoperimetric inequalities and transportation. Positivity, 7 (3). pp. 203-224. ISSN 1385-1292

Blower, Gordon (2003) Almost sure weak convergence for the circular ensembles of Dyson. Stochastics: An International Journal of Probability and Stochastic Processes formerly Stochastics and Stochastics Reports, 75 (6). pp. 425-433. ISSN 1744-2508

Blower, Gordon (2002) Maximal functions and subordination for operator groups. Proceedings of the Edinburgh Mathematical Society, 45 (1). pp. 27-42. ISSN 0013-0915

Blower, Gordon and Kelsall, Julia E. (2002) Non-linear kernel density estimation for binned data: convergence in entropy. Bernoulli, 8 (4). pp. 423-449. ISSN 1350-7265

Blower, Gordon (2001) Almost sure weak convergence for the generalized orthogonal ensemble. Journal of Statistical Physics, 105 (1-2). pp. 309-335. ISSN 0022-4715

Blower, Gordon (2001) Gaussian ensembles for the non-linear Schrödinger and KdV equations. Stochastics and Stochastics Reports, 71 (3-4). pp. 177-200.

Blower, Gordon (2000) Maximal functions for groups of operators. Proceedings of the Edinburgh Mathematical Society, 43 (1). pp. 57-71. ISSN 0013-0915

Blower, Gordon (1999) On analytic factorisation of positive hermitian matrix functions over the bidisc. Linear Algebra and its Applications, 295 (1-3). pp. 149-158. ISSN 0024-3795

Blower, Gordon (1997) Quadratic integrals and factorization of linear operators. Journal of the London Mathematical Society, 56 (2). pp. 333-346. ISSN 0024-6107

Blower, Gordon (1997) Complete polynomial bounds for matrices. The Quarterly Journal of Mathematics, 48 (1). pp. 11-15. ISSN 0033-5606

Blower, Gordon (1997) Bilinear forms on vector Hardy spaces. Glasgow Journal of Mathematics, 39. pp. 371-378.

Blower, Gordon (1996) Multipliers for semigroups. Proceedings of the Edinburgh Mathematical Society, 39 (2). pp. 241-252. ISSN 0013-0915

Blower, Gordon (1995) On the stochastic spectral radius formula. The Quarterly Journal of Mathematics, 46 (1). pp. 1-10. ISSN 0033-5606

Blower, Gordon (1995) Abel means of operator-valued processes. Studia Mathematica, 115 (3). pp. 261-276. ISSN 0039-3223

Contribution in Book/Report/Proceedings

Blower, Gordon and Newsham, Samantha (2021) Tau functions for linear systems. In: Operator theory advances and applications : IWOTA Lisbon 2019. International Workshop on Operator Theory and Applications . Springer Birkhäuser. (In Press)

Blower, Gordon and Doust, Ian and Taggart, Robert (2010) A maximal theorem for holomorphic semigroups on vector-valued spaces. In: The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009 :. Proceedings of the Centre for Mathematics and its Applications, 44 (44). Australian National University, Canberra, pp. 105-114. ISBN 0 7315 5208 3

Monograph

Blower, Gordon and Doust, Ian (2022) Linear systems, Hankel products and the sinh-Gordon equation. Working Paper. UNSPECIFIED.

Blower, Gordon and Khaleghi, Azadeh and Kuchemann-Scales, Moe (2022) Hasimoto frames and the Gibbs measure of periodic nonlinear Schrödinger equation. Working Paper. Arxiv.

Blower, Gordon (2020) Convexity and transport for isentropic Euler equations on the sphere. Working Paper. UNSPECIFIED. (Unpublished)

Blower, Gordon and Doust, Ian and Brett, Caroline (2019) Statistical mechanics of the periodic Benjamin Ono equation. Working Paper. UNSPECIFIED. (Unpublished)

Bailey, Emma and Bettin, Sandro and Blower, Gordon and Conrey, Brian and Prokhorov, Andrey and Rubinstein, Michael and Snaith, Nina (2019) Mixed moments of characteristic polynomials of random unitary matrices. Working Paper. UNSPECIFIED.

Blower, Gordon and Zhan, Longjun and Chen, Yang and Zhu, Mengkun (2017) Center of Mass distribution of the Jacobi unitary ensembles Painleve V, asympototic expansions. Working Paper. UNSPECIFIED. (Unpublished)

Blower, Gordon (2016) Concentration of the invariant measure for the periodic Zakharov, KdV and cubic NLS equations in 1D and 2D. Working Paper. UNSPECIFIED. (In Press)

Blower, Gordon and Brett, Caroline and Doust, Ian (2016) Hill's spectral curves and the invariant measure of the periodic KdV equation. Working Paper. UNSPECIFIED.

Blower, Gordon and Chen, Yang (2015) Kernels and point processes associated with Whittaker functions. Working Paper. UNSPECIFIED.

Blower, Gordon and Newsham, Samantha (2012) On tau functions associated with linear systems. Working Paper. UNSPECIFIED. (Unpublished)

Book/Report/Proceedings

Quillen, Daniel Gray and Blower, Gordon (2020) Topics in Cyclic Theory. London Mathematical Society Student Texts, 97 . Cambridge University Press, Cambridge. ISBN 9781108479615

Thesis

Brett, Caroline and Blower, Gordon (2015) Spectral theory using linear systems and sampling from the spectrum of Hill's equation. PhD thesis, Lancaster University.

Groves, James Stuart and Blower, Gordon (2000) A study of stochastic processes in Banach spaces. PhD thesis, Lancaster University.