Year: 1986
Type: article
Abstract: We consider random interfaces generated by level crossing of a Gaussian random field. Transition from an isolated pattern to a percolating one is discussed by calculating the Euler characteristics of the interface and the number of local minimum of the generating Gaussian field. These topological invariants are shown to be universal.
Source: Progress of Theoretical Physics
DOI: 10.1143/ptp.76.952
Author: H. Tomita
Institution: Kyoto University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2065571291