4 papers
Large-time behavior of two families of operators related to the fractional Laplacian on certain Riemannian manifolds
Effie Papageorgiou
This note is concerned with two families of operators related to the fractional Laplacian, the first arising from the Caffarelli-Silvestre extension problem and the second from the…
Asymptotic behavior of solutions to the extension problem for the fractional Laplacian on noncompact symmetric spaces
Effie Papageorgiou
This work deals with the extension problem for the fractional Laplacian on Riemannian symmetric spaces of noncompact type and of general rank, which gives rise to a family of…
Pointwise convergence to initial data for some evolution equations on symmetric spaces
Tommaso Bruno, Effie Papageorgiou
Let be either the Laplace--Beltrami operator, its shift without spectral gap, or the distinguished Laplacian on a symmetric space of noncompact type of a…
Asymptotics for the infinite Brownian loop on noncompact symmetric spaces
Effie Papageorgiou
The infinite Brownian loop on a Riemannian manifold is the limit in distribution of the Brownian bridge of length around a fixed origin when . The aim of…