... upon acceptance. It can be downloaded,printed and distributed freely for any purposes (see copyright notice below). For information about publishing your research in Journal of Inequalities and ... constants c1and c2so thatc1G(x) ≤ F (x) ≤ c2G(x)in the common domain of definition for F and G. For a, b ∈ R, a ∧b :=min{a, b} and a ∨b := max{a, b}. By Lemma 4.2 of Yan and Shen [24],we ... Varadhan renormal-ization does not converge in this case. For Hd ≥ 2, according to Theorem 2, ε,Tdoes not converge inL2(Ω), and therefore, T, the intersection local time of SHandSH,does...