English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In [MzM] we defined a regularized analytic torsion for quotients of thesymmetric space $\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)$ by arithmeticlattices. In this paper we study the limiting behaviour of the analytic torsionas the lattices run through sequences of congruence subgroups of a fixedarithmetic subgroup. Our main result states that for principal congruencesubgroups and strongly acyclic flat bundles, the logarithm of the analytictorsion, divided by the index of the subgroup, converges to the $L^2$-analytictorsion.

Approximation of $L^2$-analytic torsion for arithmetic quotients of the symmetric space $\mathrm{SL}(n,\mathbb{R})/\mathrm{SO}(n)$