Yucheng Liu

I am a 4th year PhD student in the Mathematics department at the University of British Columbia. I am in the Probability Group and my supervisor is Gordon Slade.

Email: yliu135@math.ubc.ca
Address: #121-1984 Mathematics Rd, Vancouver, BC V6T 1Z2, Canada.
ORCID: 0000-0002-1917-8330

Research Interests

• Probability and statistical mechanics, with special interest in models including spin systems, percolation, self-avoiding walk, branched polymers, and their (near-)critical phenomena.
• I work with the lace expansion, which is a method to analyse high-dimensional models.

Preprints and Publications

1. Y. Liu, R. Panis and G. Slade. The torus plateau for the high-dimensional Ising model. May 27, 2024.
   Preprint at arXiv.
2. Y. Liu. A general approach to massive upper bound for two-point function with application to self-avoiding walk torus plateau. Oct 26, 2023.
   Preprint at arXiv.
3. Y. Liu and G. Slade. Gaussian deconvolution and the lace expansion. To appear in Probab. Theory Relat. Fields
   Preprint at arXiv.
4. Y. Liu and G. Slade. Gaussian deconvolution and the lace expansion for spread-out models. To appear in Ann. Inst. H. Poincaré Probab. Statist.
   Preprint at arXiv.
5. Y. Liu. Continuous-time weakly self-avoiding walk on ℤ has strictly monotone escape speed. To appear in Ann. Appl. Probab.
   Preprint at arXiv.

Invited Talks

1. The torus plateau for the high-dimensional Ising model.
   December 1, 2024 at CMS Winter Meeting, Discrete Probability session.
2. Continuous-time weakly self-avoiding walk on ℤ has strictly monotone escape speed.
   July 9, 2024 at Self-interacting processes at University of Cambridge.
   Video
3. Gaussian deconvolution and the lace expansion.
   Dec 15, 2023 at Random Interacting Systems, Scaling Limits, and Universality at National University of Singapore.
   Slides
4. Gaussian deconvolution and the lace expansion.
   Nov 22, 2023 at UBC Probability seminar.
5. Continuous-time weakly self-avoiding walk on ℤ has strictly monotone escape speed.
   Oct 25, 2023 at SALSIS 2023 at Kyoto University.
6. Continuous-time weakly self-avoiding walk on ℤ has strictly monotone escape speed.
   Sept 21, 2022 at UBC Probability seminar.

Teaching