Renormalization and convergence in law for the derivative of intersection local time in R²
classification
🧮 math.PR
keywords
processesderivativeintersectionlocaltimebrowniancanonicalconvergence
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In this paper we will examine the derivative of intersection local time of Brownian motion and symmetric stable processes in $R^2$. These processes do not exist when defined in the canonical way. The purpose of this paper is to exhibit the correct rate for renormaliztion of these processes.
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