10 citations · 39 across the 21 of their papers we have counts for
21 papers
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…
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…
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…
The decompositions and positive semidefiniteness of fourth-order conjugate partial-symmetric tensors with applications
Pengfei Huang, Qingzhi Yang
Conjugate partial-symmetric (CPS) tensor is a generalization of Hermitian matrices. For the CPS tensor decomposition some properties are presented. For real CPS tensors in particul…
Moduli spaces of parabolic bundles over with five marked points
Zhi Hu, Pengfei Huang, Runhong Zong
This paper considers the moduli spaces/stacks of parabolic bundles (parabolic logarithmic flat bundles and parabolic logarithmic Higgs bundles with given spectrum) of rank 2 and de…
Newton-based methods for finding the positive ground state of Gross-Pitaevskii equations
Pengfei Huang, Qingzhi Yang
The discretization of Gross-Pitaevskii equations (GPE) leads to a nonlinear eigenvalue problem with eigenvector nonlinearity (NEPv). In this paper, we use two Newton-based methods…
Curvature formulas related to a family of stable Higgs bundles
Zhi Hu, Pengfei Huang
In this paper, we investigate the geometry of the base complex manifold of an effectively parametrized holomorphic family of stable Higgs bundles over a fixed compact Kähler manifo…
Simpson Filtration and Oper Stratum Conjecture
Zhi Hu, Pengfei Huang
In this paper, we prove that for the oper stratification of the de Rham moduli space , the closed oper stratum is the unique minimal stratum with dimension $r…
Finding the Global Optimum of a Class of Quartic Minimization Problem
Pengfei Huang, Qingzhi Yang, Yuning Yang
We consider a special nonconvex quartic minimization problem over a single spherical constraint, which includes the discretized energy functional minimization problem of non-rotati…
Rate-Constrained Shaping Codes for Structured Sources
Yi Liu, Pengfei Huang, Alexander W. Bergman +1
Shaping codes are used to encode information for use on channels with cost constraints. Applications include data transmission with a power constraint and, more recently, data stor…
Non-Abelian Hodge Theory and Related Topics
Pengfei Huang
This paper is a survey aimed on the introduction of non-Abelian Hodge theory that gives the correspondence between flat bundles and Higgs bundles. We will also introduce some topic…
The Hitchin--Kobayashi Correspondence for Quiver Bundles over Generalized Kähler Manifolds
Zhi Hu, Pengfei Huang
In this paper, we establish the Hitchin--Kobayashi correspondence for the -holomorphic quiver bundle over a compact generalized Kähler manifold $(X, I_+,…
Stability and Indecomposability of the Representations of Quivers of -type
Pengfei Huang, Zhi Hu
In his paper \cite{MR1}, Markus Reineke proposed a conjecture that there exists a stable weight system for every indecomposable representation of Dynkin type quiver. In this pa…
Simpson-Mochizuki Correspondence for -Flat Bundles
Zhi Hu, Pengfei Huang
The notion of flat -connections as the interpolation of usual flat connections and Higgs fields was suggested by Deligne and further studied by Simpson. Mochizuki established th…
Multi-Erasure Locally Recoverable Codes Over Small Fields
Pengfei Huang, Eitan Yaakobi, Paul H. Siegel
Erasure codes play an important role in storage systems to prevent data loss. In this work, we study a class of erasure codes called Multi-Erasure Locally Recoverable Codes (ME-LRC…
Syndrome-Coupled Rate-Compatible Error-Correcting Codes
Pengfei Huang, Yi Liu, Xiaojie Zhang +2
Rate-compatible error-correcting codes (ECCs), which consist of a set of extended codes, are of practical interest in both wireless communications and data storage. In this work, w…
Performance of Optimal Data Shaping Codes
Yi Liu, Pengfei Huang, Paul H. Siegel
Data shaping is a coding technique that has been proposed to increase the lifetime of flash memory devices. Several data shaping codes have been described in recent work, including…
Multi-Erasure Locally Recoverable Codes Over Small Fields For Flash Memory Array
Pengfei Huang, Eitan Yaakobi, Paul H. Siegel
Erasure codes play an important role in storage systems to prevent data loss. In this work, we study a class of erasure codes called Multi-Erasure Locally Recoverable Codes (ME-LRC…
Performance of Multilevel Flash Memories with Different Binary Labelings: A Multi-User Perspective
Pengfei Huang, Paul H. Siegel, Eitan Yaakobi
In this work, we study the performance of different decoding schemes for multilevel flash memories where each page in every block is encoded independently. We focus on the multi-le…
Binary Linear Locally Repairable Codes
Pengfei Huang, Eitan Yaakobi, Hironori Uchikawa +1
Locally repairable codes (LRCs) are a class of codes designed for the local correction of erasures. They have received considerable attention in recent years due to their applicati…
Cross-Layer Scheduling in Multi-user System with Delay and Secrecy Constraints
Jun Wang, Pengfei Huang, Xudong Wang
Recently, physical layer security based approaches have drawn considerable attentions and are envisaged to provide secure communications in the wireless networks. However, most exi…