Abstract
The critical dimension for intersections of two random walks, d = 4, will be studied in this chapter. The critical dimension is characterized by logarithmic behavior of the interesting quantities. The results in this chapter will be stronger than what we can prove in two and three dimensions— instead of just upper and lower bounds for probabilities we will be able to give asymptotic expressions.
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© 1991 Springer Science+Business Media New York
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Lawler, G.F. (1991). Four Dimensions. In: Intersections of Random Walks. Probability and Its Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-2137-9_4
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DOI: https://doi.org/10.1007/978-1-4757-2137-9_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4757-2139-3
Online ISBN: 978-1-4757-2137-9
eBook Packages: Springer Book Archive