9 citations · 11 across the 18 of their papers we have counts for
23 papers
Uncentred maximal operators with respect to half balls on Damek--Ricci spaces
Nikolaos Chalmoukis, Stefano Meda, Effie Papageorgiou +1
In this paper we study a variant of the uncentred Hardy--Littlewood maximal operator on Damek--Ricci spaces in which balls are replaced by suitable half balls. Perhaps surprisingly…
Long-time asymptotics for the heat kernel and for heat equation solutions on homogeneous trees
Effie Papageorgiou
We study the large-time behavior of the continuous-time heat kernel and of solutions to the heat equation on homogeneous trees. First, we derive sharp asymptotic formulas for the h…
Mass Functions and Asymptotic Behavior of Caloric Functions on Affine Buildings
Effie Papageorgiou, Bartosz Trojan
We study the large-time asymptotic behavior of solutions to the discrete-time heat equation, i.e., caloric functions, on affine buildings, including those without transitive group…
asymptotics for the heat equation on symmetric spaces for non-symmetric solutions
Effie Papageorgiou
The main goal of this work is to study the -asymptotic behavior of solutions to the heat equation on arbitrary rank Riemannian symmetric spaces of non-compact type for n…
Counting function estimates for coherent frames and Riesz sequences
Effie Papageorgiou, Jordy Timo van Velthoven
We prove various estimates for the asymptotics of counting functions associated to point sets of coherent frames and Riesz sequences. The obtained results recover the necessary den…
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…
Large sets containing no copies of a given infinite sequence
Mihail N. Kolountzakis, Effie Papageorgiou
Suppose is a real, nonnegative sequence that does not increase exponentially. For any we contruct a Lebesgue measurable set which has measure a…
Asymptotic behavior of the heat semigroup on certain Riemannian manifolds
Alexander Grigor'yan, Effie Papageorgiou, Hong-Wei Zhang
We show that, on a complete, connected and non-compact Riemannian manifold of non-negative Ricci curvature, the solution to the heat equation with initial data behaves asym…
New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
Giannis Polychrou, Effie Papageorgiou, Anestis Fotiadis +1
We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In \cite{FotDask}, harmonic maps are related to the sinh-Gordon equation and a B{ä}ck…
Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces
Jean-Philippe Anker, Effie Papageorgiou, Hong-Wei Zhang
This paper is twofold. The first part aims to study the long-time asymptotic behavior of solutions to the heat equation on Riemannian symmetric spaces of noncompact type and…
How many Fourier coefficients are needed?
Benedikt Diederichs, Mihail N. Kolountzakis, Effie Papageorgiou
We are looking at families of functions or measures on the torus which are specified by a finite number of parameters . The task, for a given family, is to look at a small numbe…
Functions tiling with several lattices
Mihail N. Kolountzakis, Effie Papageorgiou
We study the problem of finding a function with ``small support'' that simultaneously tiles with finitely many lattices in -dimensional Euclidean spaces.…
Riesz means on locally symmetric spaces
Effie Papageorgiou
We prove that for a certain class of dimensional rank one locally symmetric spaces, if , , then the Riesz means of order of converge to a…
Riesz means on homogeneous trees
Effie Papageorgiou
Let be a homogeneous tree. We prove that if , , then the Riesz means converge to almost everywhere as $R\…
Riesz means on symmetric spaces
Anestis Fotiadis, Effie Papageorgiou
Let be a non-compact symmetric space of dimension . We prove that if , , then the Riesz means converge to almost…
Oscillating multipliers on symmetric spaces and locally symmetric spaces
Effie Papageorgiou
We prove -boundedness of oscillating multipliers on all symmetric spaces and a class of locally symmetric spaces.
Oscillating multipliers on rank one locally symmetric spaces
Effie Papageorgiou
We prove -boundedness of oscillating multipliers on some classes of rank one locally symmetric spaces.
Schrödinger Equations on normal real form Symmetric Spaces
Anestis Fotiadis, Effie Papageorgiou
We prove dispersive and Strichartz estimates for Schrödinger equations on normal real form symmetric spaces. These estimates apply to the well-posedness and scattering for the nonl…
Littlewood-Paley-Stein operators on Damek-Ricci spaces
Anestis Fotiadis, Effie Papageorgiou
We obtain pointwise upper bounds on the derivatives of the heat kernel on Damek-Ricci spaces. Applying these estimates we prove the -boundedness of Littlewood-Paley-Stein oper…
The derivatives of the heat kernel on symmetric spaces
A. Fotiadis, E. Papageorgiou
We derive estimates of the derivatives of the heat kernel on noncompact symmetric spaces and on locally symmetric spaces. Applying these estimates we study the -boundedness…