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- W3080451133 abstract "We introduce a new class of tree-indexed Markov processes, so-called block Markov chains (BMCs). We clarify the structure of BMCs in connection with Markov chains (MCs) and Markov random fields (MRFs). Mainly, we show that the probability measures, which are BMCs for every root, are indeed Markov chains (MCs). Conversely, we characterize a class of MCs which are BMCs. Moreover, we establish that the class of BMCs coincides with MCs only in the one-dimensional lattice." @default.
- W3080451133 created "2020-09-01" @default.
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- W3080451133 date "2022-01-01" @default.
- W3080451133 modified "2023-10-16" @default.
- W3080451133 title "Block Markov Chains on Trees" @default.
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- W3080451133 doi "https://doi.org/10.1007/978-3-031-06170-7_8" @default.
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