Work

Uniform many-particle spectral gap inequality and heat kernel bounds for strong attractive interactions

Year: 2026

Type: preprint

Abstract: We prove a spectral gap inequality for Gaussian measures modified by singular attractive pair interactions. The spectral gap constant is explicit and uniform in the number of particles and the regularization parameter. As an application, we use a corresponding spectral gap inequality for a cutoff interaction weight to obtain two-sided bounds on the transition density of the attractive logarithmic gas.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.17333

Authors: Boutiah, S. E., Kinzebulatov, D., Madou, K. R.

Institutions: Université Laval, University Ferhat Abbas of Setif

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Natural Sciences and Engineering Research Council of Canada

Award: G4257410901

OpenAlex ID: W7213418246

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