All Outputs (3)

Efficient sampling and counting algorithms for the Potts model on Zd at all temperatures (2022)
Journal Article
Borgs, C., Chayes, J., Helmuth, T., Perkins, W., & Tetali, P. (2023). Efficient sampling and counting algorithms for the Potts model on Zd at all temperatures. Random Structures and Algorithms, 63(1), 130-170. https://doi.org/10.1002/rsa.21131

The damselflies Hetaerininae, a subfamily of Calopterygidae, comprise four genera distributed from North to South America: Hetaerina, Mnesarete, Ormenophlebia and Bryoplathanon. While several studies have focused on the intriguing behavioral and morp... Read More about Efficient sampling and counting algorithms for the Potts model on Zd at all temperatures.

Spin systems with hyperbolic symmetry: a survey (2022)
Presentation / Conference
Bauerschmidt, R., & Helmuth, T. (2022, July). Spin systems with hyperbolic symmetry: a survey. Paper presented at International Congress of Mathematicians, 2022

Correlation decay for hard spheres via Markov chains (2022)
Journal Article
Helmuth, T., Perkins, W., & Petti, T. (2022). Correlation decay for hard spheres via Markov chains. Annals of Applied Probability, 32(3), 2063-2082. https://doi.org/10.1214/21-aap1728

We improve upon all known lower bounds on the critical fugacity and critical density of the hard sphere model in dimensions three and higher. As the dimension tends to infinity, our improvements are by factors of 2 and 1.7, respectively. We make thes... Read More about Correlation decay for hard spheres via Markov chains.