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Generalized cluster algorithms for Potts lattice gauge theory

arXiv:2507.13503v2 Announce Type: replace-cross Abstract: Monte Carlo algorithms, like the Swendsen-Wang and invaded-cluster, sample the Ising and Potts models asymptotically faster than single-spin Glauber dynamics do. Here, we generalize both algorithms to sample Potts lattice gauge theory by way of a $2$-dimensional cellular representation called the plaquette random-cluster model. The invaded-cluster algorithm targets Potts lattice gauge theory at criticality by implementing a stopping...

arXiv CS 1d ago

Modeling Discrete Data with High-Order Vector Potts Models

arXiv:2606.03429v1 Announce Type: cross Abstract: Modeling high-dimensional data is challenging, yet essential to understanding many complex systems. Maximum entropy models such as Ising and Potts models have been used extensively to capture pairwise interactions from correlation patterns in data, allowing to infer graphical representations of complex systems from observations (e.g., from protein sequences or neural population activity).

arXiv Physics 7d ago

Ireland coach Farrell signs extension through 2031 World Cup

Ireland coach Farrell signs extension through 2031 World Cup June 5 : Ireland coach Andy Farrell has extended his contract until the end of the 2031 World Cup, the Irish Rugby Football Union said on Friday. The 51-year-old took over from Joe Schmidt in 2019 and has since guided Ireland to two Six Nations championships, including a Grand Slam in 2023. He briefly stepped aside from the role at the start of 2025 to coach the British and Irish Lions on their tour of Australia, leading them to a...

Channel News Asia 5d ago

Ground-state phase diagram of Rydberg atoms in a triangular-prism array

arXiv:2606.01116v1 Announce Type: cross Abstract: We study the ground-state phase diagram of Rydberg atoms in a triangular-prism optical tweezer array using the density matrix renormalization group. By tuning the detuning-to-Rabi-frequency ratio and the Rydberg blockade radius, the system realizes several density-wave phases with spontaneous breaking of translational and leg-exchange symmetries. Unlike two-leg Rydberg ladders with $\mathbb{Z}_2$ leg-exchange symmetry, the triangular prism...

arXiv Physics 8d ago

A father-son Transatlantic, cross-generational voyage to visit Burnley

From the book LEGS HEARTS MINDS: Loss and Its Remedies by Chris Jones. Copyright © 2026 by Chris Jones.

ESPN 6d ago