24 citations · 39 across the 9 of their papers we have counts for
6 papers · 1 filter
Displacement exponent for loop-erased random walk on the Sierpiński gasket
Kumiko Hattori
We prove that loop-erased random walks on finite pre-Sierpinski gaskets can be extended to the infinite pre-Sierpinski gasket by virtue of the `erasing-larger-loops-first' method,…
A family of self-avoiding random walks interpolating the loop-erased random walk and a self-avoiding walk on the Sierpinski gasket
Kumiko Hattori, Noriaki Ogo, Takafumi Otsuka
We show that the `erasing-larger-loops-first' (ELLF) method, which was first introduced for erasing loops from the simple random walk on the Sierpinski gasket, does work also for n…
Loop-erased random walk on the Sierpinski gasket
Kumiko Hattori, Michiaki Mizuno
We consider a model of loop-erased random walks on the finite pre-Sierpinski gasket which permits rigorous analysis. We prove the existence of the scaling limit and show that the p…
Stochastic ranking process with time dependent intensities
Yuu Hariya, Kumiko Hattori, Tetsuya Hattori +3
We consider the stochastic ranking process with the jump times of the particles determined by Poisson random measures. We prove that the joint empirical distribution of scaled posi…
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…
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…