3 papers
math.PR2025
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…
quant-ph2025
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…
math.ST2025
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…