ENEric Nordenstam
Eric Nordenstam
*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
Eric Nordenstam has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Benjamin J. Fleming
The University of Melbourne
1 shared publication - Kurt Johansson
Royal Institute of Technology
1 shared publication - Peter J. Forrester
School of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia
1 shared publication
Latest Publications
- 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
Eigenvalues of GUE Minors
Consider an infinite random matrix $H=(h_{ij})_{0<i,j}$ picked from the Gaussian Unitary Ensemble (GUE). Denote its main minors by $H_i=(h_{rs})_{1\leq r,s\leq i}$ and let the $j$:th largest eigenvalue of $H_i$ be $\mu^i_j$. We show that the configuration of all these eigenvalues $(i,\mu_j^i)$ form a determinantal point process on $\mathbb{N}\times\mathbb{R}$. Furthermore we show that this process can be obtained as the scaling limit in random tilings of the Aztec diamond close to the boundary. We also discuss the corresponding limit for random lozenge tilings of a hexagon.Open AccessEigenvalues of GUE Minors
Consider an infinite random matrix $H=(h_{ij})_{0<i,j}$ picked from the Gaussian Unitary Ensemble (GUE). Denote its main minors by $H_i=(h_{rs})_{1\leq r,s\leq i}$ and let the $j$:th largest eigenvalue of $H_i$ be $\mu^i_j$. We show that the configuration of all these eigenvalues $(i,\mu_j^i)$ form a determinantal point process on $\mathbb{N}\times\mathbb{R}$. Furthermore we show that this process can be obtained as the scaling limit in random tilings of the Aztec diamond close to the boundary. We also discuss the corresponding limit for random lozenge tilings of a hexagon.