56 citations · 179 across the 10 of their papers we have counts for
10 papers
Mersenne Representation, the Conolly Sequence, and Soliton Profiles over Finite Fields
Fumitaka Yura
We study the Mersenne representation of nonnegative integers and its decomposition into the binary and nonbinary sides. The nonbinary values form A055938, and their successor struc…
Solitons in 3-State Mealy Automata
Atsushi Maeno, Satoshi Tsujimoto, Fumitaka Yura
Box--ball systems (BBS) are integrable systems with soliton solutions and other good properties. We will search for automata that belong to the same class as BBS automata by introd…
Pattern formation of elliptic particles by two-body interactions: a model for dynamics of endothelial cells in angiogenesis
Tatsuya Hayashi, Fumitaka Yura, Jun Mada +2
A two-dimensional mathematical model for dynamics of endothelial cells in angiogenesis is investigated. Angiogenesis is a morphogenic process in which new blood vessels emerge from…
Hankel Determinant Solution for Elliptic Sequence
Fumitaka Yura
We show that the Hankel determinants of a generalized Catalan sequence satisfy the equations of the elliptic sequence. As a consequence, the coordinates of the multiples of an arbi…
Solitons with nested structure over finite fields
Fumitaka Yura
We propose a solitonic dynamical system over finite fields that may be regarded as an analogue of the box-ball systems. The one-soliton solutions of the system, which have nested s…
Theoretical Analyses of Quantum Counting against Decoherence Errors
Jun Hasegawa, Fumitaka Yura
In this paper, we analyze the quantum counting under the decoherence, which can find the number of solutions satisfying a given oracle. We investigate probability distributions rel…