Before revision:  In contrast, under such a pure-jump model, the dependence on the overall jump intensity and Y is already reflected in the leading term, which is of the form d_{1}t^{1/Y}.
After revision:  In contrast, under such a pure-jump model, the dependence on Y and on the separate intensities of negative and positive small jumps are already reflected in the leading term, which is of the form d_{1}t^{1/Y}.