25 citations · 114 across the 27 of their papers we have counts for
5 papers · 1 filter
Top to random shuffles on colored permutations
Fumihiko Nakano, Taizo Sadahiro, Tetsuya Sakurai
A deck of cards are shuffled by repeatedly taking off the top card, flipping it with probability , and inserting it back into the deck at a random position. This process c…
Hitting Matrix and Domino Tiling with Diagonal Impurities
Fumihiko Nakano, Taizo Sadahiro
As a continuation to our previous work [9, 10], we consider the domino tiling problem with impurities. (1) if we have more than two impurities on the boundary, we can compute the n…
A bijection theorem for domino tiling with diagonal impurities
Fumihiko Nakano, Taizo Sadahiro
We consider the dimer problem on a non-bipartite graph , where there are two types of dimers one of which we regard impurities. Results of simulations using Markov chain seem to…
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…