50 citations · 256 across the 33 of their papers we have counts for
33 papers
Arrhenius-Type Description and Noise-Composition Dependence of Single-Vacancy Hopping in Active Brownian Crystals
Hiroto Tomida, Yoshihiro Yamazaki
We study vacancy-mediated hopping in a two-dimensional active Brownian-particle crystal with a single vacancy. Under active driving, the hopping rates are not organized by the free…
Theory and data analysis of player and team ball possession time in football
Ken Yamamoto, Seiya Uezu, Keiichiro Kagawa +2
In this study, the stochastic properties of player and team ball possession times in professional football matches are examined. Data analysis shows that player possession time fol…
Emergence of ultradiscrete states due to phase lock caused by saddle-node bifurcation in discrete limit cycles
Yoshihiro Yamazaki, Shousuke Ohmori
Dynamical properties of limit cycles in a tropically discretized negative feedback model are numerically investigated. This model has a controlling parameter , which corresponds…
Dynamical properties of discrete negative feedback models
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of tropically discretized and max-plus negative feedback models are investigated. Reviewing the previous study [S. Gibo and H. Ito, J. Theor. Biol. 378, 89 (20…
Types and stability of fixed points for positivity-preserving discretized dynamical systems in two dimensions
Shousuke Ohmori, Yoshihiro Yamazaki
Relationship for dynamical properties in the vicinity of fixed points between two-dimensional continuous and its positivity-preserving discretized dynamical systems is studied. Bas…
A tape-peeling model for spatiotemporal pattern formation by deformed adhesives
Keisuke Taga, Yoshihiro Yamazaki
We propose a new model for pattern formation in peeling of an adhesive tape based on the equation of motion for the displacement of deformed adhesives in the peel front. The spatio…
Relation of stability and bifurcation properties between continuous and ultradiscrete dynamical systems via discretization with positivity: one dimensional cases
Shousuke Ohmori, Yoshihiro Yamazaki
Stability and bifurcation properties of one-dimensional discrete dynamical systems with positivity, which are derived from continuous ones by tropical discretization, are studied.…
Validation of a motion model for soccer players' sprint by means of tracking data
Takuma Narizuka, Kenta Takizawa, Yoshihiro Yamazaki
In soccer game analysis, the widespread availability of play-by-play and tracking data has made it possible to test mathematical models that have been discussed mainly theoreticall…
Poincare Map Method for Limit Cycles in a Max-Plus Dynamical System
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of limit cycles in a two-dimensional max-plus dynamical system are discussed. We apply a Poincare map method to the limit cycles in order to reveal their stabi…
Analysis and application of multiplicative stochastic process with a sample-dependent lower bound
Ken Yamamoto, Yoshihiro Yamazaki
A multiplicative stochastic process with the lower bound lognormally distributed is investigated. For the process, the model is constructed, and its distribution function (involvin…
Periodicity of limit cycles in a max-plus dynamical system
Yoshihiro Yamazaki, Shousuke Ohmori
By introducing a max-plus dynamical system having limit cycles, we discuss their periodicity, especially the number of discrete states in them. We also find that quasi-periodic cyc…
Dynamical properties of max-plus equations obtained from tropically discretized Sel'kov model
Shousuke Ohmori, Yoshihiro Yamazaki
Max-plus equations are derived from tropically discretized Sel'kov model via ultradiscretization. These max-plus equations possess common dynamical structures with the discretized…
Koopman spectral analysis of elementary cellular automata
Keisuke Taga, Yuzuru Kato, Yoshinobu Kawahara +2
We perform a Koopman spectral analysis of elementary cellular automata (ECA). By lifting the system dynamics using a one-hot representation of the system state, we derive a matrix…
A simple model for ultradiscrete Hopf bifurcation
Shousuke Ohmori, Yoshihiro Yamazaki
Dynamical properties of ultradiscrete Hopf bifurcation, similar to those of the standard Hopf bifurcation, are discussed by proposing a simple model of ultradiscrete equations with…
Ultradiscrete Bifurcations for One Dimensional Dynamical Systems
Shousuke Ohmori, Yoshihiro Yamazaki
Bifurcations of one dimensional dynamical systems are discussed based on some ultradiscrete equations. The ultradiscrete equations are derived from normal forms of one-dimensional…
Space evaluation in football games via field weighting based on tracking data
Takuma Narizuka, Yoshihiro Yamazaki, Kenta Takizawa
In football game analysis, space evaluation is an important issue because it is directly related to the quality of ball passing or player formations. Previous studies have primaril…
Lifetime distributions for adjacency relationships in a Vicsek model
Takuma Narizuka, Yoshihiro Yamazaki
We investigate the statistical properties of adjacency relationships in a two-dimensional Vicsek model. We define adjacent edges for all particles at every time step by (a) Delauna…
Universal topological representation of geometric patterns
Shousuke Ohmori, Yoshihiro Yamazaki, Tomoyuki Yamamoto +1
We discuss here geometric structures of condensed matters by means of a fundamental topological method. Any geometric pattern can be universally represented by a decomposition spac…
Clustering algorithm for formations in football games
Takuma Narizuka, Yoshihiro Yamazaki
This paper develops a clustering algorithm for formations in team sports, with a focus on football games. Our method first clusters formations into several average formations: `442…
Characterization of the formation structure in team sports
Takuma Narizuka, Yoshihiro Yamazaki
We propose a method to identify the formation structure in team sports based on Delaunay triangulation. The adjacency matrix obtained from the Delaunay triangulation for each playe…
Statistical properties for directional alignment and chasing of players in football games
Takuma Narizuka, Yoshihiro Yamazaki
Focusing on motion of two interacting players in football games, two velocity vectors for the pair of one player and the nearest opponent player exhibit strong alignment. Especiall…
Degree distribution of position-dependent ball-passing networks in football games
Takuma Narizuka, Ken Yamamoto, Yoshihiro Yamazaki
We propose a simple stochastic model describing the position-dependent ball-passing network in football games. In this network, a player on a certain area in the divided fields is…
Structure and modeling of the network of two-Chinese-character compound words in the Japanese language
Ken Yamamoto, Yoshihiro Yamazaki
This paper proposes a numerical model of the network of two-Chinese-character compound words (two-character network, for short). In this network, a Chinese character is a node and…
On a difference in topological nature between Cantor middle-third set and Sierpiński carpet
Akihiko Kitada, Tomoyuki Yamamoto, Shousuke Ohmori +1
Both Cantor middle-third set and Sierpiński carpet are self-similar, perfect, compact metric spaces. In spite of the similarity of the mathematical procedure of construction, there…