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Professor Alexander Balinsky

Overview

Professor Alexander Balinsky Position: Professor of Mathematical Physics Email: balinskyA@cardiff.ac.uk
Telephone: +44(0)29 208 75528
Fax: +44(0)29 208 74199
Extension: 75528
Location: M/1.15

Research Group

Analysis and Differential Equations

Recent Significant Publications

Balinsky A and Mohammad N, “Sparse Natural Image Statistics and their Applications to Colorization and Compression”, IEEE 2010 International Conference on Image Processing, September 26-29, 2010, Hong Kong.

Balinsky A, Balinsky H and Simske S, "On Helmholtz's principle for Document Processing", 10th ACM Symposium on Document Engineering (DocEng2010), Manchester, UK, 21-24 September 2010.

Balinsky A and Evans W D, “Some recent results on Hardy-type inequalities”, Applied Mathematics & Information Sciences 4(2) (2010), 191–208.

Balinsky A and Mohammad N, “Non-linear Filter Response Distributions of Natural Colour Images”, CCIW 2009, Springer Lecture Notes in Computer Science 5646, 101-108, 2009.

Balinsky A and Balinsky H, “On Semi-Supervised Learning and Sparsity”, 2009 IEEE International Conference on Systems, Man, and Cybernetics, October 11-14, 2009, San Antonio, Texas, USA.

Teaching

MA0376 Mathematical Foundations of Internet Security

Administrative Duties

School IT Committee

WIMCS Research Chair in Mathematical Physics

Publications

Balinsky A and Mohammad N, “Sparse Natural Image Statistics and their Applications to Colorization and Compression”, IEEE 2010 International Conference on Image Processing, September 26-29, 2010, Hong Kong.

Balinsky A, Balinsky H and Simske S, "On Helmholtz's principle for Document Processing", 10th ACM Symposium on Document Engineering (DocEng2010), Manchester, UK, 21-24 September 2010.

Balinsky A and Evans W D, “Some recent results on Hardy-type inequalities”, Applied Mathematics & Information Sciences 4(2) (2010), 191–208.

Balinsky A and Mohammad N, “Non-linear Filter Response Distributions of Natural Colour Images”, CCIW 2009, Springer Lecture Notes in Computer Science 5646, 101-108, 2009.

Balinsky A and Balinsky H, “On Semi-Supervised Learning and Sparsity”, 2009 IEEE International Conference on Systems, Man, and Cybernetics, October 11-14, 2009, San Antonio, Texas, USA.

Balinsky A and Mohammad N, “Colorization of Natural Images via L1 Optimization”, IEEE Workshop on Applications of Computer Vision (WACV) 2009 Snowbird, Utah, December 7-8,2009

Balinsky A, Evans W D, Hundertmark D and Lewis R T, On Inequalities of Hardy-Sobolev Type, Banach J. Math. Anal. 2 (2008), no. 2, 94-106.

Balinsky A, Evans W D and Saito Y, Dirac–Sobolev inequalities and estimates for the zero modes of massless Dirac operators, J. Math. Phys. 49, (2008) (10 pages).

Balinsky A and Balinsky H, Affine invariant total variation models, In Proc. of The 10th IASTED International Conference on Computer Graphics and Imaging ,February 13 – 15, 2008 , Innsbruck, Austria.

Balinsky A and Ryan J, Some Sharp $L^{2}$ Inequalities for Dirac Type Operators, Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), December 2007.

Balinsky A and Balinsky H, Affine Invariant Total Variation Models, Research Disclosure, 2007, N. 519, ISSN 0374-4353.

Balinsky A and Tyukov A, On localization of pseudo-relativistic energy, Proc. Royal Society, Mathematical, physical and engineering sciences, 2006,  vol. 462,  no2067, pp. 897-912 

Balinsky A and Tyukov A, On Hardy type inequalities. Recent advances in differential equations and mathematical physics, 69--77, Amer. Math. Soc., Providence, RI, 2006.

Balinsky A, Laptev A and Sobolev A V, Generalized Hardy inequality for the magnetic Dirichlet forms, J. Statist. Phys. 116 (2004), no. 1-4, 507--521.

Balinsky A, Hardy type inequalities for Aharonov-Bohm magnetic potentials with multiple singularities, Math. Res. Lett. 10 (2003), 1-8.

Balinsky A and Evans W D, Zero modes of Pauli and Weyl-Dirac operators. Advances in differential equations and mathematical physics (Birmingham, AL, 2002), 1--9, Contemp. Math., 327, Amer. Math. Soc., Providence, RI,2003.

Balinsky A and Evans W D, On the zero modes of Weyl-Dirac operators and their multiplicity, Bull. London Math. Soc. 34 (2002), no. 2, 236--242.

Balinsky A and Evans W D, On the spectral properties of the Brown-Ravenhall operator, J. Comput. Appl. Math. 148 (2002), no. 1, 239—255.

 

Books

Balinsky A and Evans W D, "Spectral Analysis of Relativistic Operators", Imperial College Press and World Scientific, September 2010.