Associate Professor Vladimir Mangazeev
ANU College of Science
Areas of expertise
- Ordinary Differential Equations, Difference Equations And Dynamical Systems 010109
- Statistical Mechanics, Physical Combinatorics And Mathematical Aspects Of Condensed Matter 010506
- Partial Differential Equations 010110
- Plasma Physics; Fusion Plasmas; Electrical Discharges 020204
- Algebraic Structures In Mathematical Physics 010501
- Numerical And Computational Mathematics 0103
Publications
- Batchelor, M, Bazhanov, V & Mangazeev, V 2017, 'Exactly solved models and beyond: A special issue in honour of R J Baxter's 75th birthday', Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 1, pp. 6pp.
- Kuniba, A, Mangazeev, V, Maruyama, S et al 2016, 'Stochastic R matrix for U-q(A(n)((1)))', Nuclear Physics B, vol. 913, pp. 248-277.
- Bosnjak, G & Mangazeev, V 2016, 'Construction of R-matrices for symmetric tensor representations related to U-q ((sl(n))over-bar)over cap>)', Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 49, pp. 1-19pp.
- Mangazeev, V 2014, 'On the Yang-Baxter equation for the six-vertex model', Nuclear Physics B, vol. 882, no. 1, pp. 70-96.
- Mangazeev, V 2014, 'Q-operators in the six-vertex model', Nuclear Physics B, vol. 886, pp. 166-184.
- Mangazeev, V, Bazhanov, V & Sergeev, S 2013, 'An integrable 3D lattice model with positive Boltzmann weights', Journal of Physics A: Mathematical and Theoretical, vol. 46, no. 46.
- Bazhanov, V, Mangazeev, V, Okada, Y et al 2013, 'An elliptic parameterisation of the Zamolodchikov model', Nuclear Physics B, vol. 871, no. 1, pp. 127-144.
- Mangazeev, V & Guttmann, A 2010, 'Form factor expansions in the 2D Ising model and Painleve VI', Nuclear Physics B, vol. 838, no. 3, pp. 391-412.
- Mangazeev, V & Bazhanov, V 2010, 'The eight-vertex model and Painleve VI equation II: eigenvector results', Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 8, p. 16.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2010, 'QUANTUM GEOMETRY OF 3-DIMENSIONAL LATTICES AND TETRAHEDRON EQUATION**', International Congress on Mathematical Physics 2009, European Mathematical Society Publishing House, Prague, Czech Republic, p. 22.
- Mangazeev, V, Dudalev, M, Bazhanov, V et al 2010, 'Scaling and universality in the two-dimensional Ising model with a magnetic field', Physical Review E-Statistical, Nonlinear and Soft Matter Physics, vol. 81, 060103(R) [4 pages]
- Mangazeev, V, Batchelor, M, Bazhanov, V et al 2009, 'Variational approach to the scaling function of the 2D Ising model in a magnetic field', Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 042005, p. 10.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2008, 'Quantum geometry of three-dimensional lattices', Journal of Statistical Mechanics: Theory and Experiment, vol. July 2008, pp. 27p.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2008, 'Exact solution of the Faddeev-Volkov model', Physics Letters A, vol. 372, no. 10, pp. 1547-1550.
- Mangazeev, V 2007, 'An Analytic Formula for the A2 Jack Polynomials', Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), vol. 3, pp. 014(1-11).
- Bazhanov, V & Mangazeev, V 2007, 'Analytic Theory of the Eight-Vertex Model', Nuclear Physics B, vol. 775, pp. 225-282.
- Bazhanov, V, Mangazeev, V & Sergeev, S 2007, 'Faddeev-Volkov solution of the Yang-Baxter Equation and Discrete Conformal Symmetry', Nuclear Physics B, vol. 784, pp. 234-258.
- Bazhanov, V & Mangazeev, V 2006, 'The Eight-Vertex Model and Painlevé VI', Journal of Physics A: Mathematical and General, vol. 39, pp. 12235-12243.
- Bazhanov, V & Mangazeev, V 2005, 'Eight-vertex Model and Non-stationary Lame Equation', Journal of Physics A: Mathematical and General, vol. 38, pp. L145-L153.
- Mangazeev, V, Kuznetsov, V & Sklyanin, E 2003, 'Q-operator and factorized separation chain for Jack polynomials', Indagationes Mathematicae, vol. 14, no. 3-4, pp. 451-482.
- Mangazeev, V 2002, 'The A3 Calogero-Sutherland System: Constructing a separating Kernel', Physics of Atomic Nuclei, vol. 65, no. 6, pp. 1057-1062.
- Mangazeev, V 2001, 'Separation of variables for the A3 elliptic Calegro-Moser system', Journal of Physics A: Mathematical and General, vol. 34, pp. 4183-4195.
- Mangazeev, V & Sergeev, S 2001, 'Continuum limit of the triple tau-function model', Theoretical and Mathematical Physics, vol. 129, pp. 1573-1580.
- Boos, H & Mangazeev, V 2001, 'Some exact results for the three-layer Zamolodchikov model', Nuclear Physics B, vol. 592, pp. 597-626.
- Boos, H & Mangazeev, V 1999, 'Functional relations and nested Bethe ansatz (3) chiral Potts model at q\^2=-1', Journal of Physics A: Mathematical and General, vol. 32, no. 16, pp. 3041-3054.
- Boos, H & Mangazeev, V 1999, 'Bethe ansatz for the three-layer Zamolodchikov model', Journal of Physics A: Mathematical and General, vol. 32, no. 28, pp. 5285-5298.
