Internal DLA in higher dimensions

Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d≥3. We show that A(t) is approximately spherical, up to an O(√logt) error.

Detaylı Bibliyografya
Asıl Yazarlar: Jerison, David S, Levine, Lionel, Sheffield, Scott Roger
Diğer Yazarlar: Massachusetts Institute of Technology. Department of Mathematics
Materyal Türü: Makale
Baskı/Yayın Bilgisi: Institute of Mathematical Statistics 2018
Online Erişim:http://hdl.handle.net/1721.1/115379
https://orcid.org/0000-0002-9357-7524
https://orcid.org/0000-0002-5951-4933
Diğer Bilgiler
Özet:Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d≥3. We show that A(t) is approximately spherical, up to an O(√logt) error.