2 problems

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Generalization of the spectral order principle to symmetric spaces
A symmetric space of the noncompact type is a Riemannian symmetric space with noncompact transvection group. The spectral order principle is the asymptotic estimate established in…
Conjectureopenpatterson-sullivan-distributions symmetric-spacesarXiv posted 3 days ago
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Feingold–Peres-type conjecture for Patterson–Sullivan quantum variances
Let ${\mathbf X_{\Gamma}}$ be a compact hyperbolic surface. For a zeroth-order pseudo-differential operator with principal symbol $a_0$ , let $PS_a(\lambda)$ denote the variance of…
Conjectureopenhyperbolic-surfaces patterson-sullivan-distributions quantum-chaosarXiv posted 3 days ago

Generalization of the spectral order principle to symmetric spaces