6 papers
A Class of Long Range Circulant Random Walks on
Robert Griffiths, Shuhei Mano
This paper studies a class of long range random walks on the direct product of cyclic groups for and . $X_{t+1} = X_t + Z_t \…
Symmetric Quantum Walks on Hamming Graphs and Their Limit Distributions
Robert Griffiths, Shuhei Mano
We study a class of symmetric coined quantum walks on Hamming graphs, where the distance between vertices specifies the transition probability. A special model is the simple quantu…
A Class of Gaussian Fields on
Robert Griffiths, Shuhei Mano
Gaussian fields on are constructed from a class of reversible long range random walks on in arXiv:2510.22554. Th…
Gaussian free fields on Hamming graphs and lattice spin systems
Shuhei Mano
We discuss a class of discrete Gaussian free fields on Hamming graphs, where interactions are determined solely by the Hamming distance between vertices. The purpose of examining t…
Direct sampling from conditional distributions by sequential maximum likelihood estimations
Shuhei Mano
We can directly sample from the conditional distribution of any log-affine model. The algorithm is a Markov chain on a bounded integer lattice, and its transition probability is th…
Spectral analysis of hierarchical continuous-time quantum walks
Jirô Akahori, Yusuke Ide, Tomoki Kato +3
In this paper, we introduce hierarchical random walks at first. In this model, we use two types of random walkers, {global and local} walkers. The global walker chooses a local wal…