# Quantum ergodicity

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2013

2013

- 2013

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)

Is this relevant?

2008

2008

- 2008

For a general class of unitary quantum maps, whose underlying classical phase space is divided into ergodic and non-ergodic… (More)

Is this relevant?

2008

2008

- 2008

We prove quantum ergodicity for a family of graphs that are obtained from ergodic one-dimensional maps of an interval using a… (More)

Is this relevant?

2008

2008

- 2008

The Quantum Unique Ergodicity (QUE) conjecture of RudnickSarnak is that every quantum (Laplace) eigenfunction φn of an ergodic… (More)

Is this relevant?

2007

2007

- 2007

For manifolds with geodesic flow that is ergodic on the unit tangent bundle, the quantum ergodicity theorem implies that almost… (More)

Is this relevant?

Highly Cited

2004

Highly Cited

2004

- 2004

We classify measures on the locally homogeneous space Γ\SL(2, R)×L which are invariant and have positive entropy under the… (More)

Is this relevant?

2004

2004

- 2004

We investigate statistical properties of the eigenfunctions of the Schrödinger operator on families of star graphs with… (More)

Is this relevant?

2003

2003

- 2003

Consider a compact Riemannian manifold with ergodic geodesic flow. Quantum ergodicity is generalized from orthonormal bases of… (More)

Is this relevant?

2002

2002

- 2002

Suppose that Ω is a bounded convex domain in R whose boundary is a C manifold with corners. We prove that the boundary values… (More)

Is this relevant?

1999

1999

- 1999

We prove a strong version of quantum ergodicity for linear hyperbolic maps of the torus (“cat maps”). We show that there is a… (More)

Is this relevant?