53 citations · 157 across the 12 of their papers we have counts for
12 papers
Zipf's law before the monetary economy and written administration: volume distribution of kofun, ancient Japanese burial mounds
Hayafumi Watanabe
We analyze the volume distribution of kofun, large mounded tombs constructed in the Japanese archipelago mainly from the mid-third through the seventh century CE. We ask whether th…
Sub-exponential Growth Dynamics in Complex Systems: A Piecewise Power-Law Model for the Diffusion of New Words and Names
Hayafumi Watanabe
The diffusion of ideas and language in society has conventionally been described by S-shaped models, such as the logistic curve. However, the role of sub-exponential growth -- a sl…
A minor extension of the logistic equation for growth of word counts on online media: Parametric description of diversity of growth phenomena in society
Hayafumi Watanabe
To understand the growing phenomena of new vocabulary on nationwide online social media, we analyzed monthly word count time series extracted from approximately 1 billion Japanese…
Relations between anomalous diffusion and fluctuation scaling: The case of ultraslow diffusion and time-scale-independent fluctuation scaling in language
Hayafumi Watanabe
Fluctuation scaling (FS) and anomalous diffusion have been discussed in different contexts, even though both are often observed in complex systems. To clarify the relationship betw…
Empirical observations of ultraslow diffusion driven by the fractional dynamics in languages: Dynamical statistical properties of word counts of already popular words
Hayafumi Watanabe
Ultraslow diffusion (i.e. logarithmic diffusion) has been extensively studied theoretically, but has hardly been observed empirically. In this paper, firstly, we find the ultraslow…
Ultraslow diffusion in language: Dynamics of appearance of already popular adjectives on Japanese blogs
Hayafumi Watanabe
What dynamics govern a time series representing the appearance of words in social media data? In this paper, we investigate an elementary dynamics, from which word-dependent specia…
Statistical properties of fluctuations of time series representing the appearance of words in nationwide blog data and their applications: An example of observations and the modelling of fluctuation scalings of nonstationary time series
Hayafumi Watanabe, Yukie Sano, Hideki Takayasu +1
To elucidate the non-trivial empirical statistical properties of fluctuations of a typical non-steady time series representing the appearance of words in blogs, we investigated app…
Mean field approximation for biased diffusion on Japanese inter-firm trading network
Hayafumi Watanabe
By analysing the financial data of firms across Japan, a nonlinear power law with an exponent of 1.3 was observed between the number of business partners (i.e. the degree of the in…
Generalised central limit theorems for growth rate distribution of complex systems
Misako Takayasu, Hayafumi Watanabe, Hideki Takayasu
We introduce a solvable model of randomly growing systems consisting of many independent subunits. Scaling relations and growth rate distributions in the limit of infinite subunits…
Relations between allometric scalings and fluctuations in complex systems: The case of Japanese firms
Hayafumi Watanabe, Hideki Takayasu, Misako Takayasu
To elucidate allometric scaling in complex systems, we investigated the underlying scaling relationships between typical three-scale indicators for approximately 500,000 Japanese f…
Biased diffusion on Japanese inter-firm trading network: Estimation of sales from network structure
Hayafumi Watanabe, Hideki Takayasu, Misako Takayasu
To investigate the actual phenomena of transport on a complex network, we analysed empirical data for an inter-firm trading network, which consists of about one million Japanese fi…
Empirical analysis of collective human behavior for extraordinary events in blogosphere
Yukie Sano, Kenta Yamada, Hayafumi Watanabe +2
To uncover underlying mechanism of collective human dynamics, we survey more than 1.8 billion blog entries and observe the statistical properties of word appearances. We focus on w…