3 papers
math.NT2025
Locally analytic completed cohomology of Shimura varieties of Hodge type
Kensuke Aoki
For Shimura varieties of Hodge type, we show that there are natural isomorphisms between locally analytic complete cohomology groups and cohomology groups for flag varieties with c…
math.CO2024
2-distance 20-coloring of planar graphs with maximum degree 6
Kengo Aoki
A 2-distance -coloring of a graph is a proper -coloring such that any two vertices at distance two or less get different colors. The 2-distance chromatic number of is…
cond-mat.stat-mech2024
Expectation values in the random walk theory and the diffusion equation
Kenichiro Aoki, Takahisa Mitsui
The relation between the expectation values computed in the random walk theory, and the heat kernel method for the diffusion equation is explained concretely. The random walk is al…