13 citations · 34 across the 22 of their papers we have counts for
24 papers · 1 filter
Biased random walk on a locally infinite Galton-Watson tree
Jan Nagel
We propose a new variant of a biased random walk on a Galton-Watson tree, in which some vertices have infinitely many children. These vertices induce a natural regeneration structu…
A large deviation principle for the Gaussian beta ensemble in the high temperature regime
Helene Götz, Jan Nagel
We show a large deviation principle for the weighted spectral measure of the Gaussian beta ensemble in the high temperature regime, when . The resulting…
Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle
Fabrice Gamboa, Jan Nagel, Alain Rouault
Sum rules are elegant formulas that relate entropy functionals to coefficients associated with orthogonal polynomials [Sim11]. In a series of paper (see for example [GNR16], [GNR17…
Nonstandard Large and Moderate Deviations for the Laguerre Ensemble
Helene Götz, Jan Nagel
In this paper, we show limit theorems for the weighted spectral measure of the Laguerre ensemble under a nonstandard scaling, when the parameter grows faster than the matrix size.…
Central limit theorem for a random walk on Galton-Watson trees with random conductances
Tabea Glatzel, Jan Nagel
We show a central limit theorem for random walk on a Galton-Watson tree, when the edges of the tree are assigned randomly uniformly elliptic conductances. When a positive fraction…
On some gateways between sum rules
Fabrice Gamboa, Jan Nagel, Alain Rouault
We present correspondences induced by some classical mappings between measures on an interval and measures on the unit circle. More precisely, we link their sequences of orthogonal…