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math.AG2022
Meromorphic Parahoric Higgs Torsors and Filtered Stokes G-local Systems on Curves
Pengfei Huang, Hao Sun
In this paper, we consider the wild nonabelian Hodge correspondence for principal -bundles on curves, where is a connected complex reductive group. We establish the correspo…
cs.IT2022
Rate-Constrained Shaping Codes for Finite-State Channels With Cost
Yi Liu, Yonglong Li, Pengfei Huang +1
Shaping codes are used to generate code sequences in which the symbols obey a prescribed probability distribution. They arise naturally in the context of source coding for noiseles…
math.AG2022
Tame parahoric nonabelian Hodge correspondence on curves
Pengfei Huang, Georgios Kydonakis, Hao Sun +1
The nonabelian Hodge correspondence for vector bundles over noncompact curves is adequately described by implementing a weighted filtration on the objects involved. In order to est…