9 citations · 13 across the 5 of their papers we have counts for
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math-ph2008
Equation of motion for incompressible mixed fluid driven by evaporation and its application to online rankings
Kumiko Hattori, Tetsuya Hattori
We give a unique classical solution to initial value problem for a system of partial differential equations for the densities of components of one dimensional incompressible fluid…
q-fin.GN2008
Mathematical analysis of long tail economy using stochastic ranking processes
Kumiko Hattori, Tetsuya Hattori
We present a new method of estimating the distribution of sales rates of, e.g., book titles at an online bookstore, from the time evolution of ranking data found at websites of the…
math.PR2008★ 9 cited
Existence of an infinite particle limit of stochastic ranking process
Kumiko Hattori, Tetsuya Hattori
We study a stochastic particle system which models the time evolution of the ranking of books by online bookstores (e.g., Amazon). In this system, particles are lined in a queue. E…