Quadratic forms of signature (2, 2) and eigenvalue spacings on rectangular 2-tori

By A. Eskin, Gregory Margulis, Shahar Mozes. 2005

87 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7a5032499de0c74c41b45e1c7038ba2e48451305

How researchers see this paper

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In Discrete Mathematics and Combinatorics

1. Jens Marklof
2. Berk Ustun
3. Cynthia Rudin

In Mathematical Physics

1. Daniel El-Baz
2. Ilya Vinogradov
3. Jens Marklof
4. Andreas Strombergsson

Citations in the corpus

• DISTRIBUTION MODULO ONE AND RATNER’S THEOREM (2006, background): “Examples are proofs of quantitative versions of the Oppenheim conjecture [3], related questions on the spacings between the values of quadratic forms [ 4 , 8, 9], a proof of quantum unique ergodicity for certain classes of hyperbolic surfaces [6], and an approach to the Littlewood conjecture on the ”
• The two-point correlation function of the fractional parts of $\sqrt{n}$ is Poisson (2013, background): “) Other number-theoretic sequences, whose two-point correlations are Poisson, include the values of positive definite quadratic forms subject to certain diophantine conditions [3,12], forms in more variables [15–17], inhomogeneous forms in two [5,8] and more variables [7], and the fractional parts o”