58 citations · 67 across the 15 of their papers we have counts for
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Two Regularized Determinants of Laplacian through Resurgence theory
Wen Shen, Shanzhong Sun
We study two types of regularizations of the determinant of Laplacian on Riemann manifold from the viewpoint of resurgence theory. One is the formal logarithmic derivative of the d…
Monodromy of Complexified Planar Kepler Problem
Shanzhong Sun, Peng You
The planar Kepler problem is complexified and we show that this holomorphic completely integrable Hamiltonian system has nontrivial monodromy.
On the Moyal Star Product of Resurgent Series
Yong Li, David Sauzin, Shanzhong Sun
We analyze the Moyal star product in deformation quantization from the resurgence theory perspective. By putting algebraic conditions on Borel transforms, one can define the space…
Symmetry of Planar Four-Body Convex Central Configurations
Alain Albouy, Yanning Fu, Shanzhong Sun
We study the relationship between the masses and the geometric properties of central configurations. We prove that in the planar four-body problem, a convex central configuration i…