We show that the spectral gap for the interchange process (and the symmetric exclusion process) in a $d$-dimensional box of side length $L$ is asymptotic to $\pi^2/L^2$. This gives more evidence in favor of Aldous's conjecture that in any graph…
Fecha:
2008-01-01
Recurso:
Electronic communications in probability
CIC - Centro de Información y Conocimiento Johannes Gutenberg ®