Hecke operators and equidistribution of Hecke points

By L. Clozel, H. Oh, E. Ullmo. 2001

131 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/4c301ba1d98f39507791a53c1b19f3b90bca9bad

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In Applied Mathematics

In Mathematical Physics

Citations in the corpus

Mesures stationnaires et fermés invariants des espaces homogènes (2011, unknown): “[6] et [11]).”
Stationary measures and invariant subsets of homogeneous spaces (III) (2013, result): “It also extends previous results by Clozel, Oh and Ullmo in [9] about equidistribution of Hecke orbits (see also [13]).”
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces (2007, unknown): “A typical instance of the second type of result is the equidistribution of Hecke points, [22] or [7]; a “twisted” version is the work of Li, Jiang and Zhang, [33].”
Manin's and Peyre's conjectures on rational points and adelic mixing (2006, methodology): “elbart-Jacquet [GJ] estimate toward the Ramanujan conjecture for SL2 or PGL2 and Theorem 2.18, we obtain for v∈ R1, any inﬁnite dimensional ρv ∈ GˆAut v , and Uv-ﬁnite vectors xv,yv, (cf. Theorem 3.4 [COU]) (2.20) |hρv(g)(xv),yvi| ≤ cv·ξv(g)1/2 ·(dimhUvxvi·dimhUvyvi)1/2 for any g∈ G(Kv). Combining t”
Stationary measures and invariant subsets of homogeneous spaces (II) (2013, result): “It also extends previous results by Clozel, Oh and Ullmo in [9] about equidistribution of Hecke orbits (see also [13]).”
A Combination of the Conjectures of Mordell-Lang and André-Oort (2005, background): “It is my pleasure to thank the organizers for their invitation, and Y. André, D. Bertrand, L. Clozel, B. Edixhoven, B. Moonen, F. Oort, E. Ullmo, J. Wildeshaus, and A. Yafaev for interesting conversations and suggestions.”