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Author

P. Hislop

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Preprint Sep 2026

Poisson eigenvalue statistics and dynamical delocalization for fractional and long-range Anderson models

We study local eigenvalue statistics and dynamical (de)-localization properties for long-range Anderson models, including the fractional Anderson model. These systems are random Anderson-type perturbations of operators with long-range (non random) hopping terms of the form $|T(n,m)| \sim \|n-m\|^{-(d+2\beta)}$ for $\be...

P. Hislop, Rodrigo Matos, C. Rojas-Molina · 0 citations
Open access Jul 2026

Eigenvalue statistics for random polymer models: Localization and delocalization

We study the local eigenvalue statistics (LES) associated with one-dimensional lattice models of random polymers. We consider models constructed from two polymers. Each polymer is a finite interval of lattice points with a finite potential. These polymers are distributed along \mathbb{Z} according to a Bernoull...

P. Hislop, F. Nakano · 0 citations

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