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math.DG2020★ 1 cited
Complex valued analytic torsion and dynamical zeta function on locally symmetric spaces
Shu Shen
We show that the Ruelle dynamical zeta function on a closed odd dimensional locally symmetric space twisted by an arbitrary flat vector bundle has a meromorphic extension to the wh…
math.DG2018
Morse-Smale flow, Milnor metric, and dynamical zeta function
Shu Shen, Jianqing Yu
We introduce a Milnor metric on the determinant line of the cohomology of the underlying closed manifold with coefficients in a flat vector bundle, by means of interactions between…