Professor Gordon Blower

Professor

Research Interests

  • Random Matrix Theory - integrable operators
  • Logarithmic Sobolev inequalities
  • Concentration of measure
  • Operator Semigroups - maximal theorems and transference

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