Singular Laplacian Growth

The general equations of motion for two dimensional Laplacian growth are derived using the conformal mapping method. In the singular case, all singularities of the conformal map are on the unit circle, and the map is a degenerate Schwarz-Christoffel map. The equations of motion describe the motions of these singularities. Despite the typical fractal-like outcomes of Laplacian growth processes, the equations of motion are shown to be not particularly sensitive to initial conditions. It is argued that the sensitivity of this system derives from a novel cause, the non-uniqueness of solutions to the differential system. By a mechanism of singularity creation, every solution can become more complex, even in the absence of noise, without violating the growth law. These processes are permitted, but are not required, meaning the equation of motion does not determine the motion, even in the small.Comment: 8 pages, Latex, 4 figures, Submitted to Phys. Rev.

Optical Continuum and Emission-Line Variability of Seyfert 1 Galaxies

We present the light curves obtained during an eight-year program of optical spectroscopic monitoring of nine Seyfert 1 galaxies: 3C 120, Akn 120, Mrk 79, Mrk 110, Mrk 335, Mrk 509, Mrk 590, Mrk 704, and Mrk 817. All objects show significant variability in both the continuum and emission-line fluxes. We use cross-correlation analysis to derive the sizes of the broad Hbeta-emitting regions based on emission-line time delays, or lags. We successfully measure time delays for eight of the nine sources, and find values ranging from about two weeks to a little over two months. Combining the measured lags and widths of the variable parts of the emission lines allows us to make virial mass estimates for the active nucleus in each galaxy. The virial masses are in the range 10^{7-8} solar masses.Comment: 24 pages, 16 figures. Accepted for publication in Ap

Diversity in case management modalities: the Summit model

Though ubiquitous in community mental health agencies, case management suffers from a lack of consensus regarding its definition, essential components, and appropriate application. Meaningful comparisons of various case management models await such a consensus. Global assessments of case management must be replaced by empirical studies of specific interventions with respect to the needs of specific populations. The authors describe a highly differentiated and prescriptive system of case management involving the application of more than one model of service delivery. Such a diversified and targeted system offers an opportunity to study the technology of case management in a more meaningful manner

Use of Technology for Note Taking and Therapeutic Alliance

Is psychotherapeutic alliance helped or harmed by using an iPad or computer during an intake session? Two studies are reported where psychotherapists use one of three different technologies in semistructured initial interviews: paper and pen, iPad, or a computer. The studies were conducted at a Primary Care Clinic and a Community Mental Health Clinic to provide a broader context to account for recent behavioral health integration into medical settings in addition to a traditional psychotherapy setting. The Primary Care Study consisted of 60 participants from a behavioral health service at a primary care clinic. The Community Mental Health Study involved 55 participants from a community mental health clinic in semirural Oregon. No differences were found for the three technologies in either study. Practice and training implications are offered

Examining Religion and Spirituality as Diversity Training: A Multidimensional Look at Training in the American Psychological Association

What sort of psychotherapeutic approaches might work well with a client who identifies as Muslim, and would they be different from what might work well with a client who identifies as Christian, a client who identifies as atheistic, or client who identifies as Buddhist? Despite ethical commitments to religiosity and spirituality training, it seems that most training programs in professional psychology have neglected to incorporate content from these areas of diversity into their curricula. The current study evaluated religious and spiritual diversity training in both APA-accredited doctoral programs and predoctoral internships, garnering the perspectives of 292 students, interns, faculty, and training directors (54.9% response rate). Results revealed a clear hierarchy of preparatory efforts with regard to diversity training, with least attention given to the dimensions of diversity pertaining to disabilities, age, religion, and spirituality. Participants also perceived several areas of advanced competency to be neglected, including preparation efforts related to consultation with religious and spiritual leaders and understanding the major world religions and spiritual systems. The findings also revealed that doctoral programs and predoctoral internships rely on informal and unsystematic sources of learning to provide training in religious and spiritual dimensions of diversity, including clinical experiences and peer interaction. Coursework, research, and didactics are rarely used to enhance religious and spiritual diversity training. Implications regarding current perceptions of training in religious and spiritual diversity are included