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math.DS2020
Scale pressure for amenable group actions
Dandan Cheng, Qian Hao, Zhiming Li
In this paper we introduce the notion of scale pressure and measure theoretic scale pressure for amenable group actions. A variational principle for amenable group actions is prese…
math.DG2020
Stable solutions to the abelian Yang--Mills--Higgs equations on and
Da Rong Cheng
We show under natural assumptions that stable solutions to the abelian Yang--Mills--Higgs equations on Hermitian line bundles over the round -sphere actually satisfy the vortex…