Will Perkins

Georgia Institute of Technology — United States

Mathematics · Physical Sciences

30h-index3.5kcitations260works0.32yr avg
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Research Topics

Markov Chains and Monte Carlo Methods(59), Stochastic processes and statistical mechanics(45), Stability and Control of Uncertain Systems(40), Advanced Control Systems Optimization(39), Limits and Structures in Graph Theory(25)

Publications260 total

Fixed-magnetization Ising on random graphs up to reconstruction
arXiv (Cornell University)·2025Open Access
Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
Random Structures and Algorithms·2025Open Access
On the evolution of structure in triangle-free graphs
Advances in Mathematics·2025
On the chromatic number of random triangle-free graphs
arXiv (Cornell University)·2025Open Access
The typical structure of dense claw-free graphs
arXiv (Cornell University)·2025Open Access
Is there a superlative rabbit in the ordinal hat? A study of ordinals vs. degree modifiers in nested definites
Experiments in Linguistic Meaning·2025Open Access
Potential-Weighted Connective Constants and Uniqueness of Gibbs Measures
Communications in Mathematical Physics·2025· 2 cited
Lower tails for triangles inside the critical window
arXiv (Cornell University)·2024· 1 citedOpen Access
Pirogov--Sinai Theory Beyond Lattices
arXiv (Cornell University)·2024Open Access
Sampling and counting triangle-free graphs near the critical density
arXiv (Cornell University)·2024Open Access
Searching for (sharp) thresholds in random structures: Where are we now?
Bulletin of the American Mathematical Society·2024· 1 citedOpen Access
Sampling, Counting, and Large Deviations for Triangle-Free Graphs Near the Critical Density
2024
Hardness of Sampling for the Anti-Ferromagnetic Ising Model on Random Graphs
arXiv (Cornell University)·2024Open Access
Searching for (sharp) thresholds in random structures: where are we now?
arXiv (Cornell University)·2024Open Access
On the hardness of finding balanced independent sets in random bipartite graphs
Society for Industrial and Applied Mathematics eBooks·2024· 1 cited
On the evolution of structure in triangle-free graphs
arXiv (Cornell University)·2023Open Access
Frozen 1‐RSB structure of the symmetric Ising perceptron
Random Structures and Algorithms·2023· 3 citedOpen Access
Fast and Perfect Sampling of Subgraphs and Polymer Systems
ACM Transactions on Algorithms·2023· 4 cited
On the zeroes of hypergraph independence polynomials
Combinatorics Probability Computing·2023· 6 citedOpen Access
Approximation Algorithms for the Random Field Ising Model
SIAM Journal on Discrete Mathematics·2023· 1 citedOpen Access
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Frequent Co-authors

J. Medanić(9), J.B. Cruz(8), Tamer Başar(8), James W. Melody(7), Robert J. Veillette(5), Petros G. Voulgaris(5), Matthew Jenssen(4), Nadine Sarter(3), Michael Bragg(3), Ümi̇t Özgüner(3), Amin Coja‐Oghlan(2), Florent Krząkała(2), Lenka Zdeborová(2), Michael S. Selig(2), Dennis F. Wilkie(2), M.H. Shor(2), Tyler Helmuth(2), Changji Xu(2), Jure Medanic(1), H.S. Tharp(1)