Work

Eigenvalue distribution from bootstrap estimates

Year: 2025

Type: article

Abstract: The bootstrap method has proven useful for a wide range of matrix models. Here, we show that the computed moments can be used to reconstruct the underlying eigenvalue probability distribution, which, in turn, allows us to compute the free energy of the model—a necessary quantity for identifying the thermodynamically preferred solution. We verify the method on the well-studied quartic potential model and then apply it to a recently analyzed asymmetric multitrace model. We consider an extended class of possible solutions and demonstrate that free-energy analysis reliably selects the correct one, making it an essential tool for studying models with a complex solution structure.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/m812-s3hr

Authors: Samuel Kováčik, Katarína Magdolenová

Institution: Comenius University Bratislava

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Vedecká Grantová Agentúra MŠVVaŠ SR a SAV

Award: Maticové modely a kvantová gravitácia