Growth of heat trace coefficients for locally symmetric spaces [Journal of Mathematical Physics 53, 103506 (2012)] gives an application to the Weyl expansion for quantum billiards.

We study the asymptotic behavior of the heat trace coefficients for the scalar Laplacian in the context of locally symmetric spaces. These spaces have the distinguishing property that the Huygens principle for the shifted wave equation holds. As a consequence growth estimates conjectured by Berry and Howls [“High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits and the Stokes phenomenon”] are sharp.

Growth of heat trace coefficients for locally symmetric spaces [Journal of Mathematical Physics 53, 103506 (2012)] gives an application to quantum billiards.

We study the asymptotic behavior of the heat trace coefficients for the scalar Laplacian in the context of locally symmetric spaces. These spaces have the distinguishing property that the Huygens principle for the shifted wave equation holds. As a consequence growth estimates conjectured by Berry and Howls [“High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits and the Stokes phenomenon”] are sharp.

Growth of heat trace coefficients for locally symmetric spaces [Journal of Mathematical Physics 53, 103506 (2012)] gives an application to the Weyl expansion for quantum billiards.

Growth of heat trace coefficients for locally symmetric spaces [Journal of Mathematical Physics 53, 103506 (2012)] gives an application to the Weyl expansion for quantum billiards.

We study the asymptotic behavior of the heat trace coefficients for the scalar Laplacian in the context of locally symmetric spaces. These spaces have the distinguishing property that the Huygens principle for the shifted wave equation holds. As a consequence growth estimates conjectured by Berry and Howls [“High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits and the Stokes phenomenon”] are sharp.