Open access
Datum
2022-11Typ
- Journal Article
Abstract
We prove that cluster observables of level-sets of the Gaussian free field on the hypercubic lattice Z(d), d >= 3, are analytic on the whole off-critical regime R \ {h(*)}. This result concerns in particular the percolation density function theta(h) and the (truncated) susceptibility chi (h). As an important step towards the proof, we show the exponential decay in probability for the capacity of a finite cluster for all h not equal h(*), which we believe to be a result of independent interest. We also discuss the case of general transient graphs. Mehr anzeigen
Persistenter Link
https://doi.org/10.3929/ethz-b-000561764Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
Communications in Mathematical PhysicsBand
Seiten / Artikelnummer
Verlag
SpringerOrganisationseinheit
09584 - Tassion, Vincent / Tassion, Vincent
Förderung
851565 - Critical and supercritical percolation (EC)