On the convexity of a hitting distribution for discrete random walks
We examine the convexity of the hitting distribution of the real axis for symmetric random walks on Z2 . We prove that for a random walk starting at (0, h), the hitting distribution is convex on [h — 2, oo) fl Z if h > 2. We also show an analogous fact for higher-dimensional discrete random walks...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 1-2 |
| Kulcsszavak: | Véletlen bolyongás, Integer rács, konvexitás, Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/40292 |
| Tartalmi kivonat: | We examine the convexity of the hitting distribution of the real axis for symmetric random walks on Z2 . We prove that for a random walk starting at (0, h), the hitting distribution is convex on [h — 2, oo) fl Z if h > 2. We also show an analogous fact for higher-dimensional discrete random walks. This paper extends the results of a recent paper [NT]. |
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| Terjedelem/Fizikai jellemzők: | 305-312 |
| ISSN: | 0001-6969 |