Self-Intersection Times for Random Walk, and Random Walk in Random Scenery
Self-Intersection Times for Random Walk, and Random Walk in Random Scenery
We consider Random Walk in Random Scenery , denoted $X_n$, where the random walk is symmetric on $Z^d$, with $d>4$, and the random field is made up of i.i.d random variables with a stretched exponential tail decay, with exponent $\alpha$ with $1 n^{\beta}\}$ for $1/2<\beta<1$. To obtain such asymptotics, we …