English

Two dimensional delta Bose gas in a weighted space

Probability 2025-04-21 v2

Abstract

We extend the construction of the semigroup of the two-dimensional delta-Bose gas in Gu, Quastel, and Tsai (2021) (based on Rajeev (1999) and Dimock and Rajeev (2004)) to a weighted L2L^2 space that allows exponentially growing functions. We further show that the semigroup of the mollified delta-Bose gas converges strongly to that of the delta-Bose gas.

Cite

@article{arxiv.2410.16550,
  title  = {Two dimensional delta Bose gas in a weighted space},
  author = {Sudheesh Surendranath and Li-Cheng Tsai},
  journal= {arXiv preprint arXiv:2410.16550},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-06-28T19:30:42.515Z