69 citations · 296 across the 15 of their papers we have counts for
4 papers · 1 filter
Emergence of AdS geometry in the simulated tempering algorithm
Masafumi Fukuma, Nobuyuki Matsumoto, Naoya Umeda
In our previous work [1], we introduced to an arbitrary Markov chain Monte Carlo algorithm a distance between configurations. This measures the difficulty of transition from one co…
Triangle-hinge models for unoriented membranes
Masafumi Fukuma, Sotaro Sugishita, Naoya Umeda
Triangle-hinge models [arXiv:1503.08812] are introduced to describe worldvolume dynamics of membranes. The Feynman diagrams consist of triangles glued together along hinges and can…
Matter fields in triangle-hinge models
Masafumi Fukuma, Sotaro Sugishita, Naoya Umeda
The worldvolume theory of membrane is mathematically equivalent to three-dimensional quantum gravity coupled to matter fields corresponding to the target space coordinates of embed…
Random volumes from matrices
Masafumi Fukuma, Sotaro Sugishita, Naoya Umeda
We propose a class of models which generate three-dimensional random volumes, where each configuration consists of triangles glued together along multiple hinges. The models have m…