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math.DS2024
Regularized determinant formulas for the zeta functions of 3-dimensional Riemannian foliated dynamical systems
Jesús A. Álvarez López, Junhyeong Kim, Masanori Morishita
We prove a regularized determinant formula for the zeta functions of certain 3-dimensional Riemannian foliated dynamical systems, in terms of the infinitesimal operator induced by…
math.DS2019★ 4 cited
On -dimensional foliated dynamical systems and Hilbert type reciprocity law
Junhyeong Kim, Masanori Morishita, Takeo Noda +1
We show some fundamental results concerning -dimensional foliated dynamical systems (FDS for short) introduced by Deninger. Firstly, we give a decomposition theorem for an F…