Random metric graphs

WG1 + WG4 workshop

Dear colleagues,
We are pleased to announce the workshop Random Metric Graphs, jointly organized by Working Groups 1 and 4 of the COST Action mSPACE. The workshop is intended to provide an open and collaborative environment in which ideas from spectral theory, stochastic geometry, probability, and mathematical physics can interact naturally and lead to new interdisciplinary connections.

A central theme of the workshop is the interplay between Laplace-type operators on metric graphs and the geometry induced by random structures. Particular attention will be devoted to metric graphs associated with Voronoi and Delaunay tessellations generated by Poisson and hyperuni- form point processes. The workshop will address questions related to spectral gaps, localization phenomena, transport properties, and the existence or absence of compactly supported eigen- functions. More broadly, we aim to better understand how geometric characteristics, such as edge-length distributions or local connectivity, influence the spectrum of Laplace-type operators and related topological quantities.

Plan of the workshop A limited number of slots will be available for contributed talks however, a substantial part of the workshop will be devoted to interactive discussion and collaborative ex- change. To encourage this, the workshop will combine presentations with structured round-table discussions and working sessions. The program is envisioned along the following lines:

Day 1: Introduction of the central problems and motivations, establishing a common language via broad overview talks accessible to participants from different fields.
Day 2: Review of the current state of the art, identification of key open questions and chal- lenges, more specialized presentations focused on specific techniques.
Day 3: Formation of collaboration groups, focused working sessions on selected problems, and planning future joint projects and research directions.

Financial support Limited financial support will be available for a small number of participants. If you would like to apply for support, please indicate this during the registration process using the link below. Decisions regarding financial support are expected to be announced in July.

Date:	16–18 September 2026
Venue:	Prague, Czech Republic
Registration:	registration form
Application for support:	until 30.6.2026
Contact:	wg1@ca-mspace.eu (WG 1)
	wg4@ca-mspace.eu (WG 4)

We would be delighted to welcome you and look forward to your participation.

COST - European Cooperation in Science and Technology | COST Action mSPACE