Professor Gordon Blower

Professor

PhD Supervision Interests

Random matrices, high dimensional phenomena, optimal transportation theory

Logarithmic Sobolev inequalities and spectral concentration for the cubic Shroedinger equation
Blower, G., Doust, I., Brett, C. 2013 , 11 p.
Working paper

On tau functions associated with linear systems
Blower, G., Newsham, S. 5/04/2012 , 66 p.
Working paper

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.
Journal article

On tau functions for orthogonal polynomials and matrix models.
Blower, G. 15/07/2011 In: Journal of Physics -London- a Mathematical and General. 44, 28, p. 1-31. 31 p.
Journal article

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.
Journal article

A maximal theorem for holomorphic semigroups on vector-valued spaces.
Blower, G., Doust, I., Taggart, R. 2010 In: The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009. Canberra : Australian National University p. 105-114. 10 p. ISBN: 0 7315 5208 3.
Chapter

Discrete Tracy--Widom operators.
Blower, G., McCafferty, A. 10/2009 In: Proceedings of the Edinburgh Mathematical Society. 52, 3, p. 545-559. 15 p.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

Displacement convexity for the generalized orthogonal ensemble.
Blower, G. 09/2004 In: Journal of Statistical Physics. 116, 5/6, p. 1359-1387. 29 p.
Journal article

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.
Journal article

Transportation of measure, Young diagrams and random matrices.
Blower, G. 2004 In: Bernoulli. 10, 5, p. 755-782. 28 p.
Journal article

Gaussian isoperimetric inequalities and transportation.
Blower, G. 09/2003 In: Positivity. 7, 3, p. 203-224. 22 p.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

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.
Journal article

Gaussian ensembles for the non-linear Schrödinger and KdV equations.
Blower, G. 2001 In: Stochastics & Stochastics Reports. 71, 3-4, p. 177-200. 24 p.
Journal article

Maximal functions for groups of operators.
Blower, G. 02/2000 In: Proceedings of the Edinburgh Mathematical Society. 43, 1, p. 57-71. 15 p.
Journal article

On analytic factorisation of positive hermitian matrix functions over the bidisc.
Blower, G. 1/07/1999 In: Linear Algebra and its Applications. 295, 1-3, p. 149-158. 10 p.
Journal article

Multipliers of Hardy spaces, quadratic integrals and Williams-Foias-Peller operators.
Blower, G. 1998 In: Studia Mathematica. 131, 2, p. 179-188. 10 p.
Journal article

Complete polynomial bounds for matrices.
Blower, G. 03/1997 In: The Quarterly Journal of Mathematics. 48, 1, p. 11-15. 5 p.
Journal article

Bilinear forms on vector Hardy spaces.
Blower, G. 1997 In: Glasgow Journal of Mathematics. 39, p. 371-378. 8 p.
Journal article

Multipliers for semigroups.
Blower, G. 06/1996 In: Proceedings of the Edinburgh Mathematical Society. 39, 2, p. 241-252. 12 p.
Journal article

Stationary processes for translation operators.
Blower, G. 1996 In: Proceedings of the London Mathematical Society. 72, 3, p. 697-720. 24 p.
Journal article

On the stochastic spectral radius formula.
Blower, G. 03/1995 In: The Quarterly Journal of Mathematics. 46, 1, p. 1-10. 10 p.
Journal article

Abel means of operator-valued processes
Blower, G. 1995 In: Studia Mathematica. 115, 3, p. 261-276. 16 p.
Journal article

On the complete polynomial bounds of certain operators.
Blower, G. 1992 In: The Quarterly Journal of Mathematics. 43, 2, p. 149-156. 8 p.
Journal article