We use the recently-developed multiparameter theory of additive Lévy processes to establish novel connections between an arbitrary Lévy process in ℝ, and a new class of energy forms and their corresponding capacities. We then apply these connections to solve two long-standing problems in the...

We consider pure-jump transaction-level models for asset prices in continuous time, driven by point processes. In a bivariate model that admits cointegration, we allow for time deformations to account for such effects as intraday seasonal patterns in volatility, and non-trading periods that may...