On the spectral theory and dynamics of asymptotically hyperbolic manifolds

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“…Theorem 1.1 of [Rowlett 2009] was restated in Theorem 5.1 of [Rowlett 2010], which is therefore subject to the same correction; it was also applied in [Borthwick and Perry 2011], but without use of the remainder estimate for large time, so the results there are unaffected. Corollary 1.2 of [Rowlett 2009] (restated in [Rowlett 2010] as Corollary 5.2) should be corrected as follows. Corollary 1.2.…”

“…In Theorem 1.4 of [Rowlett 2009], a factor of h was omitted in the numerator; this was corrected in Theorem 4.4 of [Rowlett 2010]. An additional technical assumption, that the length-spectrum is nonarithmetic (see [Rowlett et al 2011, §4]), was also missing.…”

“…Corollary 1.5 of [Rowlett 2009] (and the analogous Corollary 5.3 in [Rowlett 2010]) should both be replaced by the version below. Before stating it, we recall the standard big-O notation.…”

Errata to “Dynamics of asymptotically hyperbolic manifolds”

“…Theorem 1.1 of [Rowlett 2009] was restated in Theorem 5.1 of [Rowlett 2010], which is therefore subject to the same correction; it was also applied in [Borthwick and Perry 2011], but without use of the remainder estimate for large time, so the results there are unaffected. Corollary 1.2 of [Rowlett 2009] (restated in [Rowlett 2010] as Corollary 5.2) should be corrected as follows.…”