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- Anthony Guttmann
Professor Anthony Guttmann
Associate Investigator, Professor
The University of Melbourne
My research interests are in equilibrium statistical mechanics in general, and more particularly in discrete models of phase transitions. As these are often equivalent to a combinatorial problem, I am equally interested in the relevant combinatorics, and the connection between the two. Additionally, I am regularly looking for new ways to count the underlying graphs efficiently. This leads me into a study of algorithmic complexity.
Publications
Invited talks, refereed proceedings and other conference outputs
Guttmann, A.
(2016). Random and self-avoiding walks subject to tension and compression.
Random Structures in High Dimensions.
Beaton, N. R., Jensen I., Lawler G., Whittington S. G., & Guttmann A.
(2016). Polymers pulled from, and pushed towards, a wall.
STATPHYS26.
Beaton, N. R., Jensen I., Lawler G., Whittington S. G., & Guttmann A.
(2016). Polymers pulled from, and pushed towards, a wall.
IMI-La Trobe Joint Conference: Mathematics for Materials Science and Processing.
Journal Articles
Guttmann, A., & Kotesovec V.
(2021). L-convex polyominoes and 201-avoiding ascent sequences.
arXiv. arXiv:2109.09928v2.
Guttmann, A., & Kotesovec V.
(2021). L-convex polyominoes and 201-avoiding ascent sequences.
arXiv. arXiv:2109.09928v1.
Clisby, N., Conway A. R., & Guttmann A.
(2016). Three-dimensional terminally attached self-avoiding walks and bridges.
Journal of Physics A: Mathematical and Theoretical. 49(1), doi: 10.1088/1751-8113/49/1/015004
Guttmann, A., Jensen I., Maillard J. M., & Pantone J.
(2016). Is the full susceptibility of the square-lattice Ising model a differentially algebraic function?.
Journal of Physics A: Mathematical and Theoretical. 49(50), doi: 10.1088/1751-8113/49/50/504002
Beaton, N. R., Guttmann A., Jensen I., & Lawler G. F.
(2015). Compressed self-avoiding walks, bridges and polygons.
Journal of Physics A: Mathematical and Theoretical. 48(45), 454001. doi: 10.1088/1751-8113/48/45/454001
Guttmann, A., & Maillard J-M.
(2015). Automata and the susceptibility of the square lattice Ising model modulo powers of primes.
Journal of Physics A: Mathematical and Theoretical. 48(47), 474001. doi: 10.1088/1751-8113/48/47/474001
Guttmann, A.
(2015). Analysis of series expansions for non-algebraic singularities.
Journal of Physics A: Mathematical and Theoretical. 48(4), 45209. doi: 10.1088/1751-8113/48/4/045209
Conway, A. R., & Guttmann A.
(2015). On 1324-avoiding permutations.
Advances in Applied Mathematics. 64, 50-69. doi: 10.1016/j.aam.2014.12.004
