9 citations · 13 across the 5 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2009★ 4 cited
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…
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…