Journal
JOURNAL OF THEORETICAL PROBABILITY
Volume 32, Issue 1, Pages 330-352Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10959-017-0788-7
Keywords
Spider; Random walk; Local time; Occupation time; Brownian motion
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Funding
- Hungarian National Research, Development and Innovation Office-NKFIH [K 108615]
- NSERC Canada Discovery Grant at Carleton University
- PSC CUNY Grant [69040-0047]
- Hungarian National Research, Development and Innovation Office-NKFIH Grant [K 108615]
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A simple random walk and a Brownian motion are considered on a spider that is a collection of half lines (we call them legs) joined at the origin. We give a strong approximation of these two objects and their local times. For fixed number of legs, we establish limit theorems for n-step local and occupation times.
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