Dispersion on Certain Cartesian Products of Graphs

Kaïs Ammari, Mostafa Sabri

Research output: Chapter in Book/Report/Conference proceedingChapter


In this short note, we prove a sharp dispersive estimate ∥ e i t Hf∥ < t d 3∥ f∥ 1 for any Cartesian product ℤd□ GF of the integer lattice and a finite graph. This includes the infinite ladder, k-strips, and infinite cylinders, which can be endowed with certain potentials.

Original languageEnglish (US)
Title of host publicationTrends in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages6
StatePublished - 2023

Publication series

NameTrends in Mathematics
VolumePart F1467
ISSN (Print)2297-0215
ISSN (Electronic)2297-024X


  • Dispersion
  • Graphs
  • Schrödinger operator

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Dispersion on Certain Cartesian Products of Graphs'. Together they form a unique fingerprint.

Cite this