Fabrice Gamboa, Jan Nagel, Alain Rouault
Published 2016-10-04Version 1
In these notes we fill a gap in a proof in Section 4 of Gamboa, Nagel, Rouault [Sum rules via large deviations, J. Funct. Anal. 270 (2016), 509-559]. We prove a general theorem which combines a LDP with a convex rate function and a LDP with a non-convex one. This result will be used to prove LDPs for spectral matrix measures and for spectral measures on the unit circle.
Large deviations in the reinforced random walk model on trees
On large deviations for combinatorial sums
Large deviations of empirical neighborhood distribution in sparse random graphs
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