25 citations · 114 across the 27 of their papers we have counts for
27 papers
Eigenvalue Fluctuations of 1-dimensional random Schrödinger operators
Takuto Mashiko, Yuma Marui, Naoki Maruyama +1
As an extension to the paper by Breuer, Grinshpon, and White \cite{B}, we study the linear statistics for the eigenvalues of the Schrödinger operator with random decaying potential…
Top to random shuffles on colored permutations
Fumihiko Nakano, Taizo Sadahiro, Tetsuya Sakurai
A deck of cards are shuffled by repeatedly taking off the top card, flipping it with probability , and inserting it back into the deck at a random position. This process c…
Limiting distribution of extremal eigenvalues of d-dimensional random Schrödinger operator
Kaito Kawaai, Yugo Maruyama, Fumihiko Nakano
We consider Schrödinger operator with random decaying potential on and showed that, (i) IDS coincides with that of free Laplacian in general cases, and (ii) th…
Shape of eigenvectors for the decaying potential model
Fumihiko Nakano
We consider the 1d Schrödinger operator with decaying random potential, and study the joint scaling limit of the eigenvalues and the measures associated with the corresponding eige…
Determinantal Formula for Generalized Riffle Shuffle
Fumihiko Nakano, Taizo Sadahiro
We consider a generalized riffle shuffle on the colored permutation group and derive a determinantal formula for the probability of finding descents at given positions,…
Limit theorems for moment processes of beta Dyson's Brownian motions and beta Laguerre processes
Fumihiko Nakano, Hoang Dung Trinh, Khanh Duy Trinh
In the regime where the parameter beta is proportional to the reciprocal of the system size, it is known that the empirical distribution of Gaussian beta ensembles (resp.\ beta Lag…