Will Perkins
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| title | conference | date |
|---|---|---|
| Sampling From the Random Cluster Model at All Temperatures on Random Graphs | Computational Phase Transitions (Simons Institute, 2020) | 2020-09-21 |
For random d‑regular graphs with d ≥ 5 and q at least about d^d, there are polynomial‑time algorithms that approximately count and sample the Potts and… | ||
| Abstract Polymer Models and the Cluster Expansion | Deterministic Counting, Probability, and Zeros of Partition Functions (Simons Institute workshop, 2019) | 2019-03-18 |
Gives an FPTAS and efficient sampler for the ferromagnetic Q‑state Potts partition function on max‑degree Δ, α‑expander graphs when β ≥ C·(log(QΔ))/α (C… | ||
| An Occupancy Approach to the Hard-Core Model | Approximate Counting, Markov Chains and Phase Transitions | 2016-02-22 |
Shows that the natural repulsion inequality—expected excluded volume increases when centers are conditioned non-overlapping—actually fails in dimension 24 via… | ||
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