Multidimensional Walks with Random Tendency
Multidimensional Walks with Random Tendency
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Publisher
New York: Springer US
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Language
English
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Publisher
New York: Springer US
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Contents
We introduce a multidimensional walk with memory and random tendency. The asymptotic behaviour is characterized, proving a law of large numbers and showing a phase transition from diffusive to superdiffusive regimes. In first case, we obtain a functional limit theorem to Gaussian vectors. In superdiffusive regime, we obtain strong convergence to a...
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Full title
Multidimensional Walks with Random Tendency
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TN_cdi_proquest_journals_2451546399
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2451546399
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ISSN
0022-4715
E-ISSN
1572-9613
DOI
10.1007/s10955-020-02621-0