Titlebook: Codes, Systems, and Graphical Models; Brian Marcus,Joachim Rosenthal Conference proceedings 2001 Springer Science+Business Media New York

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The IMA Volumes in Mathematics and its Applicationshttp://image.papertrans.cn/c/image/228852.jpg

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K. Dang Van,H. M. Maitournan,J. F. Flavenotf finite type . ⊂ ..., d ≥ 2, where A is a finite alphabet. We discuss rigidity properties of certain multi-dimensional shifts, such as the appearance of an unexpected intrinsic algebraic structure or the scarcity of isomorphisms and invariant measures. The final section concentrates on group shifts

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https://doi.org/10.1007/978-3-030-83236-0s sampled uniformly at random satisfying those degree constraints lead to codes that perform arbitrarily close to the capacity of the erasure channel when decoded with a simple erasure decoder described in the paper. We will prove a necessary property called . for a sequence of degree distributions

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Ehab Al-Shaer,Mohammad Ashiqur Rahmann that a factor graph generalizes only the time axis of a trellis, but omits the state transition representation. In this paper, a new graphical model, called the hypertrellis, is proposed to overcome this insufficiency of factor graphs. A hypertrellis is in essence a weighted hypergraph generalizat

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