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Pu Yu

Hi! I am a Courant Instructor at New York University. I completed my Ph.D. in mathematics in 2024, advised by Scott Sheffield. Previously I graduated from Peking University with a B.S. degree in mathematics in 2019.

I am interested in probability theory, especially random geometry. In particular I have been working on the Schramm-Loewner Evolution, random planar maps, and Liouville quantum gravity.

Email: py628@nyu.edu

Office: Warren Weaver Hall 925

Papers and Preprints

11. Radial conformal welding in Liouville quantum gravity, with Morris Ang, arxiv2411.19810.

10. The bulk one-arm exponent for the CLE percolations, with Haoyu Liu, Xin Sun and Zijie Zhuang, arxiv2410.12724.

9. Boundary touching probability and nested-path exponent for non-simple CLE (with Morris Ang, Xin Sun, and Zijie Zhuang), Annals of Probability (to appear), arxiv2401.15904.

8. Conformal welding of LQG disks and multiple SLE: the non-simple case (with Morris Ang, Nina Holden and Xin Sun), arxiv2310.20583.

7. SLE partition functions via conformal welding of random surfaces (with Xin Sun), International Mathematical Research Notices (2024), arxiv2309.05177.

6. Reversibility of whole plane SLE for \kappa>8 (with Morris Ang), Probability Theory and Related Fields (2024), arxiv2309.05176.

5. Wilson loop expectations as sums over surfaces on the plane (with Minjae Park, Joshua Pfeffer and Scott Sheffield), submitted, arxiv2305.02306.

4. Time-reversal of multiple-force-point chordal SLE_\kappa(\rho), Electronic Journal of Probability (2023). arxiv2211.04581.

3. Quantum triangles and imaginary geometry flow lines (with Morris Ang and Xin Sun), Annales de l'Institut Henri Poincaré (2024), arxiv2211.04580.

2. Baxter permuton and LQG (with Jacopo Borga, Nina Holden and Xin Sun), Probability Theory and Related Fields (2023), arxiv2203.12176.

1.On mean field limit for Brownian particles with Coulomb interaction in 3D (with Lei Li and Jian-Guo Liu), Journal of Mathematical Physics (2019), arxiv1811.07797.