29 citations · 142 across the 19 of their papers we have counts for
19 papers
Anomalous diffusion analysis of the lifting events in the event-chain Monte Carlo for the classical XY models
Kenji Kimura, Saburo Higuchi
We introduce a novel random walk model that emerges in the event-chain Monte Carlo (ECMC) of spin systems. In the ECMC, the lifting variable specifying the spin to be updated chang…
Extension of the constant exchange probability method to multi-dimensional replica exchange Monte Carlo applied to the tri-critical spin-1 Blume-Capel model
Kenji Kimura, Saburo Higuchi
In replica exchange Monte Carlo (REM), tuning of the temperature set and the exchange scheduling are crucial in improving the accuracy and reducing calculation time. In multi-dimen…
Monte Carlo estimation of the number of tatami tilings
Kenji Kimura, Saburo Higuchi
Motivated by the way Japanese tatami mats are placed on the floor, we consider domino tilings with a constraint and estimate the number of such tilings of plane regions. We map the…
Decimation flows in constraint satisfaction problems
Saburo Higuchi, Marc Mézard
We study hard constraint satisfaction problems with a decimation approach based on message passing algorithms. Decimation induces a renormalization flow in the space of problems, a…
Susceptibility Propagation for Constraint Satisfaction Problems
Saburo Higuchi, Marc Mézard
We study the susceptibility propagation, a message-passing algorithm to compute correlation functions. It is applied to constraint satisfaction problems and its accuracy is examine…
Loop Model with Generalized Fugacity in Three Dimensions
Saburo Higuchi
A statistical model of loops on the three-dimensional lattice is proposed and is investigated. It is O(n)-type but has loop fugacity that depends on global three-dimensional shapes…