Yucheng Liu

I am a 3rd 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

• I am interested in statistical mechanical models including spin systems, percolation, self-avoiding walk, with special interest in their critical phenomena.
• I work with the lace expansion, which is a method to analyse high-dimensional models.

Preprints and Publications

1. 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.
2. Y. Liu and G. Slade. Gaussian deconvolution and the lace expansion. Oct 11, 2023.
   Preprint at arXiv.
3. Y. Liu and G. Slade. Gaussian deconvolution and the lace expansion for spread-out models. Oct 11, 2023.
   Preprint at arXiv.
4. Y. Liu. Continuous-time weakly self-avoiding walk on ℤ has strictly monotone escape speed. Oct 27, 2022.
   Preprint at arXiv.

Invited Talks

1. Gaussian deconvolution and the lace expansion.
   Dec 15, 2023 at Random Interacting Systems, Scaling Limits, and Universality at National University of Singapore.
   Slides
2. Gaussian deconvolution and the lace expansion.
   Nov 22, 2023 at UBC Probability seminar.
3. Continuous-time weakly self-avoiding walk on ℤ has strictly monotone escape speed.
   Oct 25, 2023 at SALSIS 2023 at Kyoto University.
4. Continuous-time weakly self-avoiding walk on ℤ has strictly monotone escape speed.
   Sept 21, 2022 at UBC Probability seminar.

Teaching