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
Outputs (13)
Random spanning forests and hyperbolic symmetry (2020)
Journal Article
Bauerschmidt, R., Crawford, N., Helmuth, T., & Swan, A. (2020). Random spanning forests and hyperbolic symmetry. Communications in Mathematical Physics, 381, 1223-1261. https://doi.org/10.1007/s00220-020-03921-yWe study (unrooted) random forests on a graph where the probability of a forest is multiplicatively weighted by a parameter β>0 per edge. This is called the arboreal gas model, and the special case when β=1 is the uniform forest model. The arboreal g... Read More about Random spanning forests and hyperbolic symmetry.
Loop-Erased Random Walk as a Spin System Observable (2020)
Journal Article
Helmuth, T., & Shapira, A. (2020). Loop-Erased Random Walk as a Spin System Observable. Journal of Statistical Physics, 181(4), 1306-1322. https://doi.org/10.1007/s10955-020-02628-7The determination of the Hausdorff dimension of the scaling limit of loop-erased random walk is closely related to the study of the one-point function of loop-erased random walk, i.e., the probability a loop-erased random walk passes through a given... Read More about Loop-Erased Random Walk as a Spin System Observable.