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 dimensionsinstead of just upper and lower bounds for probabilities we will be able to give asymptotic expressions.
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© 2013 Springer Science+Business Media New York
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Lawler, G.F. (2013). Four Dimensions. In: Intersections of Random Walks. Modern Birkhäuser Classics. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-5972-9_4
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DOI: https://doi.org/10.1007/978-1-4614-5972-9_4
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Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4614-5971-2
Online ISBN: 978-1-4614-5972-9
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