101 citations · 176 across the 5 of their papers we have counts for
5 papers
Maximum distributions of bridges of noncolliding Brownian paths
Naoki Kobayashi, Minami Izumi, Makoto Katori
The one-dimensional Brownian motion starting from the origin at time , conditioned to return to the origin at time and to stay positive during time interval ,…
Large Qudit Limit of One-dimensional Quantum Walks
Mitsunori Sato, Naoki Kobayashi, Makoto Katori +1
We study a series of one-dimensional discrete-time quantum-walk models labeled by half integers , introduced by Miyazaki {\it et al.}, each of which the walker'…
Limit distributions of two-dimensional quantum walks
Kyohei Watabe, Naoki Kobayashi, Makoto Katori +1
One-parameter family of discrete-time quantum-walk models on the square lattice, which includes the Grover-walk model as a special case, is analytically studied. Convergence in the…
Equivalence between quantum simultaneous games and quantum sequential games
Naoki Kobayashi
A framework for discussing relationships between different types of games is proposed. Within the framework, quantum simultaneous games, finite quantum simultaneous games, quantum…
Two Bessel Bridges Conditioned Never to Collide, Double Dirichlet Series, and Jacobi Theta Function
Makoto Katori, Minami Izumi, Naoki Kobayashi
It is known that the moments of the maximum value of a one-dimensional conditional Brownian motion, the three-dimensional Bessel bridge with duration 1 started from the origin, are…