English

The Expectation of a Multiplicative Functional under the Sine-Process

Probability 2024-12-31 v1 Mathematical Physics Classical Analysis and ODEs Dynamical Systems Functional Analysis math.MP

Abstract

An explicit expression for the expected value of a regularized multiplicative functional under the sine-process is obtained by passing to the scaling limit in the Borodin-Okounkov-Geronimo-Case formula.

Keywords

Cite

@article{arxiv.2412.20902,
  title  = {The Expectation of a Multiplicative Functional under the Sine-Process},
  author = {Alexander I. Bufetov},
  journal= {arXiv preprint arXiv:2412.20902},
  year   = {2024}
}

Comments

10 pages

R2 v1 2026-06-28T20:52:02.581Z