52 citations · 270 across the 36 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.SP2011★ 11 cited
On the discrete spectrum of quantum layers
Zhiqin Lu, Julie Rowlett
Consider a quantum particle trapped between a curved layer of constant width built over a complete, non-compact, smooth surface embedded in . We assume…
math.SP2011★ 3 cited
The fundamental gap of simplices
Zhiqin Lu, Julie Rowlett
The fundamental gap conjecture was recently proven by Andrews and Clutterbuck: for any convex domain in normalized to have unit diameter, the difference between the first tw…
math.DG2011★ 1 cited
Dynamics and zeta functions on conformally compact manifolds
Julie Rowlett, Pablo Suárez-Serrato, Samuel Tapie
In this note, we study the dynamics and associated zeta functions of conformally compact manifolds with variable negative sectional curvatures. We begin with a discussion of a larg…