12 citations · 14 across the 3 of their papers we have counts for
4 papers
Elementary properties of circle map sequences
Fumihiko Nakano
We study the combinatorial and structural properties of the circle map sequences. We introduce an embedding procedure which gives a map from the hull(closure of the set of translat…
Domino tilings with diagonal impurities
Fumihiko Nakano, Taizo Sadahiro
This paper studies the dimer model on the dual graph of the square-octagon lattice, which can be viewed as the domino tilings with impurities in some sense. In particular, under a…
The repulsion between localization centers in the Anderson model
Fumihiko Nakano
In this note we show that, a simple combination of deep results in the theory of random Schrödinger operators yields a quantitative estimate of the fact that the localization cente…
Spin of the ground state and the flux phase problem on the ring
Fumihiko Nakano
As a continuation of our previous work, we derive the optimal flux phase which minimizes the ground state energy in the one-dimensional many particle systems, when the number of pa…