Abstract
The purpose of this note is to complement the paper “Small scale limit theorems for the intersection local times of Brownian motions” (P Mörters and NR Shieh, Electronic J. Probab. vol.4(1999) Paper no.9 Pages 1–23), which is reported at The 2nd ISAAC Session 17. In this note, we use an alternative method to prove one crucial step in the proof of main theorems in that paper. Namely, we shall use a device to prove that: once the average density at a typical point, say x = 0, holds, then the same result holds for a generic point x.
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© 2000 Kluwer Academic Publishers
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Shieh, NR. (2000). A Note on Average Densities of Brownian Intersection Measures. In: Begehr, H.G.W., Gilbert, R.P., Kajiwara, J. (eds) Proceedings of the Second ISAAC Congress. International Society for Analysis, Applications and Computation, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0269-8_12
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DOI: https://doi.org/10.1007/978-1-4613-0269-8_12
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