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20242026
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math.PR2026

An RDT based confirmation of Lehner's formula for Kronecker-Gaussian matrices

Mihailo Stojnic

The paper uses Random Duality Theory to rederive Lehner’s formula for the spectral edges of Kronecker‑Gaussian matrices, offering an alternative proof of strong asymptotic freeness…

math.PR2026

An RDT based approach to large deviations of Wishart and Wigner matrices spectral edges

Mihailo Stojnic

We present a novel methodology for studying \emph{large deviations principles} (LDPs) of random matrices. By utilizing a partially lifted variant of \emph{random duality theory} (R…

math.PR2025

Ground state energies of multipartite -spin models -- partially lifted RDT view

Mihailo Stojnic

We consider ground state energies (GSE) of multipartite -spin models. Relying on partially lifted random duality theory (pl RDT) concepts we introduce an analytical mechanism th…

math.PR2025

A large deviation view of \emph{stationarized} fully lifted blirp interpolation

Mihailo Stojnic

We consider \emph{bilinearly indexed random processes} (blirp) and study their interpolating comparative mechanisms. Generic introduction of the \emph{fully lifted} (fl) blirp inte…

math.PR2025

Fully lifted \emph{blirp} interpolation -- a large deviation view

Mihailo Stojnic

[104] introduced a powerful \emph{fully lifted} (fl) statistical interpolating mechanism. It established a nested connection between blirps (bilinearly indexed random processes) an…