Temporal Associations between Psychological and Physical Intimate Partner Violence: A Cross-Lag Analysis

The present study examined the relationship between psychological and physical forms of intimate partner violence (IPV) across four waves of data during the developmental period of young adulthood. The links from early psychological aggression to later physical aggression and from early physical aggression to later psychological aggression across waves were tested while controlling for their cross-time stabilities and concurrent associations. IPV data were collected annually from 434 young adult respondents involved in a romantic relationship at least once during the respective years from the ages of 22-25. On average, participants provided IPV data for three out of the four years covered by the study (M = 2.82; SD = 1.14). Results of a cross-lagged SEM model indicated significant cross-time stabilities as well as significant, positive concurrent associations for both forms of aggression. Most important to this study were the findings that, controlling for these stabilities and concurrent associations, early psychological aggression was a consistent positive predictor of later physical aggression across waves whereas the opposite direction from early physical aggression to later psychological aggression was either non-significant or significant and negative

Survival probability of mutually killing Brownian motions and the O'Connell process

Recently O'Connell introduced an interacting diffusive particle system in order to study a directed polymer model in 1+1 dimensions. The infinitesimal generator of the process is a harmonic transform of the quantum Toda-lattice Hamiltonian by the Whittaker function. As a physical interpretation of this construction, we show that the O'Connell process without drift is realized as a system of mutually killing Brownian motions conditioned that all particles survive forever. When the characteristic length of interaction killing other particles goes to zero, the process is reduced to the noncolliding Brownian motion (the Dyson model).Comment: v2: AMS-LaTeX, 20 pages, 2 figures, minor corrections made for publication in J. Stat. Phy