Quantum unique ergodicity for SL₂(Z)H
classification
🧮 math.NT
math-phmath.MP
keywords
ergodicitymodularquantumuniquecombinedconjectureeigenvalueeliminate
read the original abstract
We eliminate the possibility of "escape of mass" for Hecke-Maass forms of large eigenvalue for the modular group. Combined with the work of Lindenstrauss, this establishes the Quantum Unique Ergodicity conjecture of Rudnick and Sarnak for the modular surface SL_2(Z)\H.
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