Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866908964493459456 |
|---|---|
| author | Andres, Sebastian Kajino, Naotaka Kavvadias, Konstantinos Miller, Jason |
| author_facet | Andres, Sebastian Kajino, Naotaka Kavvadias, Konstantinos Miller, Jason |
| contents | Liouville Brownian motion (LBM) is the canonical diffusion process on a Liouville quantum gravity (LQG) surface. In this work, we establish upper and lower bounds for the heat kernel for LBM when $γ=\sqrt{8/3}$ in terms of the $\sqrt{8/3}$-LQG metric which are sharp up to a polylogarithmic factor in the exponential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13269 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion Andres, Sebastian Kajino, Naotaka Kavvadias, Konstantinos Miller, Jason Probability Mathematical Physics Complex Variables 60J35, 60J55, 60J60, 60K37 (Primary) 31C25, 60J45, 60G15 (Secondary) Liouville Brownian motion (LBM) is the canonical diffusion process on a Liouville quantum gravity (LQG) surface. In this work, we establish upper and lower bounds for the heat kernel for LBM when $γ=\sqrt{8/3}$ in terms of the $\sqrt{8/3}$-LQG metric which are sharp up to a polylogarithmic factor in the exponential. |
| title | Two-sided heat kernel bounds for $\sqrt{8/3}$-Liouville Brownian motion |
| topic | Probability Mathematical Physics Complex Variables 60J35, 60J55, 60J60, 60K37 (Primary) 31C25, 60J45, 60G15 (Secondary) |
| url | https://arxiv.org/abs/2507.13269 |