Entropy of Quantum Limits

By Jean Bourgain, Elon Lindenstrauss. 2003

90 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fa48560e0aff962c2cbf9a3391472da920825292

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Akshay Venkatesh
2. N. Anantharaman
3. Lior Silberman

In Geometry and Topology

1. Akshay Venkatesh
2. N. Anantharaman
3. Lior Silberman
4. P. Michel
5. R. Munshi
6. Nicolas Templier
7. V. Blomer
8. Gergely Harcos

In Mathematical Physics

1. Lior Silberman
2. Akshay Venkatesh
3. N. Anantharaman
4. P. Michel
5. R. Munshi
6. V. Blomer
7. Nicolas Templier
8. Gergely Harcos

Citations in the corpus

• Sparse equidistribution problems, period bounds and subconvexity (2005, methodology): “the test vector; the Friedlander-Iwaniec idea of amplification and the geometric version of it that appears in Bourgain-Lindenstrauss [ 5 ]; and the recent work of Bernstein-Reznikov [1], in particular their elegant use of Sobolev norms.”
• On Quantum Unique Ergodicity for Locally Symmetric Spaces (2004, methodology): “This was proved forG = SL2 by Bourgain and Lindenstrauss in [1].”
• ENTROPY AND THE LOCALIZATION OF EIGENFUNCTIONS. (2008, background): “[6] Let M be a congruence arithmetic surface, and (ψj) an orthonormal basis of eigenfunctions for the laplacian and the Hecke operators.”