Invariant and stationary measures for the action on Moduli space

By A. Eskin, Maryam Mirzakhani. Publications mathématiques (Bures-sur-Yvette), 2018

88 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/89a1af28aa7b0fc7dbb107dc79f4076d2fa3bb79

How researchers see this paper

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

In Computational Theory and Mathematics

1. Dawei Chen
2. Don Zagier
3. A. Wright
4. Martin Möller
5. A. Sauvaget
6. A. Eskin
7. Simion Filip
8. Harald Andrés Helfgott

In Mathematical Physics

1. Dawei Chen
2. Don Zagier
3. A. Wright
4. Martin Möller
5. A. Sauvaget
6. A. Eskin
7. Simion Filip
8. Maryam Mirzakhani

Citations in the corpus

• The algebraic hull of the Kontsevich--Zorich cocycle (2017, background): “Recall that by the results of [EM18], [EMM15], given any infinite sequence of affine invariant manifolds {M i } in a fixed stratum, there exists an affine manifold M and a subsequence {M n i } such that M n i ⊆ M , and Lebesgue measure on M n i tends to Lebesgue measure on M .”
• Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials (2019, methodology): “ action of GL2(R) on the moduli space offlat surfaces ΩMg and the orbit closures are nice submanifolds, in fact linear in period coordinates by the fundamental work of Eskin, Mirzakhani and Mohammadi ([EM18] and [EMM15]). We refer to them as affine invariant manifolds, using typically the letter M. The”