Regularity of harmonic functions for some Markov chains with unbounded range (Q354761)
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scientific article; zbMATH DE number 6189619
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity of harmonic functions for some Markov chains with unbounded range |
scientific article; zbMATH DE number 6189619 |
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Regularity of harmonic functions for some Markov chains with unbounded range (English)
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19 July 2013
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The author considers the discrete space (\(\mathbb Z^d\)) and time continuous processes analogous to the Markov processes with jumps and shows, that under some assumptions, harmonic functions associated with these processes are Hölder continuous.
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Markov chains
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Poincaré inequality
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support theorem
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harmonic functions
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Hölder continuity
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