most citedExistence of an infinite particle limit of stochastic ranking process

9 citations · 13 across the 4 of their papers we have counts for

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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…