The quantum unique ergodicity conjecture for thin sets Academic Article

abstract

• 2015 Elsevier Inc. We consider some analogs of the quantum unique ergodicity conjecture for geodesics and "shrinking" families of sets. In particular, we prove the analog of the QUE conjecture for Eisenstein series restricted to the infinite geodesic connecting 0 and inside the modular surface.

authors

• Young, Matthew

published proceedings

• ADVANCES IN MATHEMATICS

altmetric score

• 0.5

author list (cited authors)

• Young, M. P.

citation count

• 24

complete list of authors

• Young, Matthew P

publication date

• January 2016

publisher

• Elsevier  Publisher

published in

• Advances in Mathematics  Journal

keywords

• Eisenstein Series
• Equidistribution
• Quantum Unique Ergodicity
• Riemann Zeta Function

Digital Object Identifier (DOI)

• 10.1016/j.aim.2015.09.013

start page

• 958

end page

• 1016

volume

• 286

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.aim.2015.09.013