24 citations · 39 across the 9 of their papers we have counts for
9 papers
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…
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…