359 citations
- Australian National UniversityAU211 papers
- Chongqing UniversityCN12 papers
- International Centre for Radio Astronomy ResearchAU12 papers
- Curtin UniversityAU11 papers
- The University of MelbourneAU9 papers
- UNSW SydneyAU9 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- La Trobe UniversityAU7 papers
- The University of SydneyAU7 papers
- University of CambridgeGB7 papers
- University of WollongongAU7 papers
- Max Planck Institute for AstrophysicsDE6 papers
6 papers · 1 filter
Variational approach to the scaling function of the 2D Ising model in a magnetic field
Vladimir V. Mangazeev, Murray T. Batchelor, Vladimir V. Bazhanov +1
The universal scaling function of the square lattice Ising model in a magnetic field is obtained numerically via Baxter's variational corner transfer matrix approach. The high prec…
Quantum Inverse Scattering Method with anyonic grading
M T Batchelor, A Foerster, X-W Guan +2
We formulate the Quantum Inverse Scattering Method for the case of anyonic grading. This provides a general framework for constructing integrable models describing interacting hard…
Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
X. -W. Guan, M. T. Batchelor, J. -Y. Lee
We investigate magnetic properties and statistical effects in 1D strongly repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized fermions and bosons.…
One-dimensional anyons with competing -function and derivative -function potentials
M. T. Batchelor, X. -W. Guan, A. Kundu
We propose an exactly solvable model of one-dimensional anyons with competing -function and derivative -function interaction potentials. The Bethe ansatz equations are derive…
Exact conditions for no ruin for the generalised Ornstein-Uhlenbeck process
Damien Bankovsky, Allan Sly
For a bivariate Lévy process the generalised Ornstein-Uhlenbeck (GOU) process is defined as V_t:=e^{ξ_t}(z+\int_0^t e^{-ξ_{s-}}dη_s), t\ge0, where $z\in\mathb…
V-Variable Fractals: Fractals with Partial Self Similarity
Michael Barnsley, John E. Hutchinson, Örjan Stenflo
We establish properties of a new type of fractal which has partial self similarity at all scales. For any collection of iterated functions systems with an associated probability di…