title: Exact relations between multifractal exponents at the Anderson transition.
abstract: Two exact relations between mutlifractal exponents are shown to hold at the critical point of the Anderson localization transition. The first relation implies a symmetry of the multifractal spectrum linking the exponents with indices q<1/2 to those with q>1/2. The second relation connects the wave-function multifractality to that of Wigner delay times in a system with a lead attached.
authors.affiliation: Institut für Nanotechnologie, Forschungszentrum Karlsruhe, 76021 Karlsruhe, Germany.
authors.forename: A D
authors.initials: AD
authors.lastname: Mirlin
authors.forename: Y V
authors.initials: YV
authors.lastname: Fyodorov
authors.forename: A
authors.initials: A
authors.lastname: Mildenberger
authors.forename: F
authors.initials: F
authors.lastname: Evers