BFBenjamin J. Fleming
Benjamin J. Fleming
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Benjamin J. Fleming has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Peter J. Forrester
School of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia
3 shared publications - Eric Nordenstam
Swedish Royal Institute of Technology (KTH)
1 shared publication
Latest Publications
- 22 January 2011
- Published by Springer Nature in Journal of Statistical Physics
- Vol. 142 (3) , 441-459
Interlaced Particle Systems and Tilings of the Aztec Diamond
- 22 January 2011
- Published by Springer Nature in Journal of Statistical Physics
- Vol. 142 (3) , 441-459
Interlaced Particle Systems and Tilings of the Aztec Diamond
- 20 October 2010
- Published by Springer Nature in Probability Theory and Related Fields
- Vol. 152 (1-2) , 321-356
A finitization of the bead process
- 20 October 2010
- Published by Springer Nature in Probability Theory and Related Fields
- Vol. 152 (1-2) , 321-356
A finitization of the bead process
- Open Access
Interlaced particle systems and tilings of the Aztec diamond
Motivated by the problem of domino tilings of the Aztec diamond, a weighted particle system is defined on $N$ lines, with line $j$ containing $j$ particles. The particles are restricted to lattice points from 0 to $N$, and particles on successive lines are subject to an interlacing constraint. It is shown that marginal distributions for this particle system can be computed exactly. This in turn is used to give unified derivations of a number of fundamental properties of the tiling problem, for example the evaluation of the number of distinct configurations and the relation to the GUE minor process. An interlaced particle system associated with the domino tiling of a certain half Aztec diamond is similarly defined and analyzed.Open AccessInterlaced particle systems and tilings of the Aztec diamond
Motivated by the problem of domino tilings of the Aztec diamond, a weighted particle system is defined on $N$ lines, with line $j$ containing $j$ particles. The particles are restricted to lattice points from 0 to $N$, and particles on successive lines are subject to an interlacing constraint. It is shown that marginal distributions for this particle system can be computed exactly. This in turn is used to give unified derivations of a number of fundamental properties of the tiling problem, for example the evaluation of the number of distinct configurations and the relation to the GUE minor process. An interlaced particle system associated with the domino tiling of a certain half Aztec diamond is similarly defined and analyzed.