On the existence of phase transition for the 1D \(p\)-adic countable state Potts model (Q887503)
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scientific article; zbMATH DE number 6498264
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of phase transition for the 1D \(p\)-adic countable state Potts model |
scientific article; zbMATH DE number 6498264 |
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On the existence of phase transition for the 1D \(p\)-adic countable state Potts model (English)
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26 October 2015
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This paper expands \(p\)-adic probability theory approaches to the study of nearest-neighbour Potts models on a Cayley tree, in the field of \(p\)-adic numbers, which provides meaningful examples of \(p\)-adic Markov processes. The author proves the existence of phase transition for the countable \(p\)-adic state.
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\(p\)-adic numbers
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countable state
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Potts model
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Cayley tree
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Gibbs measure
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phase transitions
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Markov process
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