The continuous-time lace expansion
(2021)
Journal Article
Brydges, D. C., Helmuth, T., & Holmes, M. (2021). The continuous-time lace expansion. Communications on Pure and Applied Mathematics, 74(11), 2251-2309. https://doi.org/10.1002/cpa.22021
Dr Tyler Helmuth's Outputs (3)
The geometry of random walk isomorphism theorems (2021)
Journal Article
Bauerschmidt, R., Helmuth, T., & Swan, A. (2021). The geometry of random walk isomorphism theorems. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 57(1), 408-454. https://doi.org/10.1214/20-aihp1083The classical random walk isomorphism theorems relate the local times of a continuoustime random walk to the square of a Gaussian free field. A Gaussian free field is a spin system that takes values in Euclidean space, and this article generalises th... Read More about The geometry of random walk isomorphism theorems.
Efficient Algorithms for Approximating Quantum Partition Functions (2021)
Journal Article
Helmuth, T., & Mann, R. (2021). Efficient Algorithms for Approximating Quantum Partition Functions. Journal of Mathematical Physics, 62(2), Article 022201. https://doi.org/10.1063/5.0013689