Convergence of Brownian motion with a scaled Dirac delta potential
2012 ◽
Vol 55
(2)
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pp. 403-427
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Keyword(s):
AbstractThe method of deriving scaling limits using Dirichlet-form techniques has already been successfully applied to a number of infinite-dimensional problems. However, extracting the key tools from these papers is a rather difficult task for non-experts. This paper meets the need for a simple presentation of the method by applying it to a basic example, namely the convergence of Brownian motions with potentials given by n multiplied by the Dirac delta at 0 to Brownian motion with absorption at 0.
2013 ◽
Vol 34
(6)
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pp. 593-602
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1989 ◽
Vol 22
(1)
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pp. 67-70
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2016 ◽
Vol 37
(4)
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pp. 045406
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2019 ◽
Vol 32
(5)
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pp. 055502
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