9 citations · 13 across the 5 of their papers we have counts for
5 papers
Hydrodynamic limit of move-to-front rules and search cost probabilities
Kumiko Hattori, Tetsuya Hattori
We study a hydrodynamic limit approach to move-to-front rules, namely, a scaling limit as the number of items tends to infinity, of the joint distribution of jump rate and position…
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…
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…
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…
Uniqueness of fixed point of a two-dimensional map obtained as a generalization of the renormalization group map associated to the self-avoiding paths on gaskets
Tetsuya Hattori
Let , an…