S. Usuki

most cited

\times a

and

\times b

empirical measures, the irregular set and entropy

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2022

On a lower bound of the number of integers in Littlewood's conjecture

Shunsuke Usuki

We show that, for any $0 < γ < 1/2$ , any $(α, β) \in R^{2}$ except on a set with Hausdorff dimension about $γ$ , any small $0 < ε < 1$ and any large $N \in N$ , the…

math.DS2022★ 1 cited

$\times a$ and $\times b$ empirical measures, the irregular set and entropy

Shunsuke Usuki

For integers $a$ and $b \geq 2$ , let $T_{a}$ and $T_{b}$ be multiplication by $a$ and $b$ on $T = R / Z$ . The action on $T$ by $T_{a}$ and $T_{b}$ is called…

math-ph2021

Stability of uniqueness and coexistence of equilibrium states of the Ising model under long range perturbations

Shunsuke Usuki

In this paper, we study perturbations of the $d$ -dimensional Ising model for $d \geq 2$ , including long range ones to which the Pirogov-Sinai theory is not applicable. We show that…

On a lower bound of the number of integers in Littlewood's conjecture

×a and ×b empirical measures, the irregular set and entropy

Stability of uniqueness and coexistence of equilibrium states of the Ising model under long range perturbations

$\times a$ and $\times b$ empirical measures, the irregular set and entropy