The ubiquity of logarithmically correlated fields

Italian Ministry of Education, University and Research; Italia; Vor Ort; EUR 30.000 - 38.000; Vollzeit

Benefits dieser Stelle

Dipartimento di Matematica

Zusammenfassung

L’Università degli Studi di Roma Tor Vergata - Dipartimento di Matematica cerca un ricercatore per un progetto che esplora massimi di log-determinanti di grandi matrici casuali e le loro connessioni con campi log-correlati.

Il lavoro è al crocevia tra fisica matematica, probabilità e potenziali applicazioni a modelli teorici e al machine learning, con focus su tecniche analitiche avanzate e collaborazione internazionale.

Aufgaben

• Stabilire nuove tecniche analitiche per mostrare che la massima di log-determinanti di grandi matrici casuali appartiene a campi log-correlati.

Jobbeschreibung

Organisation/Company Università degli Studi di Roma Tor Vergata - Dipartimento di Matematica Research Field Mathematics Researcher Profile Recognised Researcher (R2) Leading Researcher (R4) First Stage Researcher (R1) Established Researcher (R3) Application Deadline 15 Nov 2026 - 23:59 (UTC) Country Italy Type of Contract To be defined Job Status Not Applicable Is the job funded through the EU Research Framework Programme? Not funded by a EU programme Is the Job related to staff position within a Research Infrastructure? No

Offer Description

In 2012 Fyodorov, Hiary, and Keating formulated a striking conjecture: the maxima of log-determinants of large random matrices behave like those of logarithmically correlated fields. Surprisingly, they conjectured that also the Riemann zeta function belongs to this log-correlated group. While there has been huge progress in proving this conjecture, most of the current results are for integrable models. The goal of this project is to establish new analytical techniques to show that this connection holds for a large class of random matrix models, and more. In general, the broad interest of our research group lies at the interface of mathematical physics and probability, with connections to quantum mechanics and potentially to theoretical machine learning

• Italy

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• OTHER

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