Statistics of non-linear stochastic dynamical systems under L\'evy noises by a convolution quadrature approach

This paper describes a novel numerical approach to find the statistics of the non-stationary response of scalar non-linear systems excited by L\'evy white noises. The proposed numerical procedure relies on the introduction of an integral transform of Wiener-Hopf type into the equation governing the characteristic function. Once this equation is rewritten as partial integro-differential equation, it is then solved by applying the method of convolution quadrature originally proposed by Lubich, here extended to deal with this particular integral transform. The proposed approach is relevant for two reasons: 1) Statistics of systems with several different drift terms can be handled in an efficient way, independently from the kind of white noise; 2) The particular form of Wiener-Hopf integral transform and its numerical evaluation, both introduced in this study, are generalizations of fractional integro-differential operators of potential type and Gr\"unwald-Letnikov fractional derivatives, respectively.Comment: 20 pages, 5 figure

Multiple and interpersonal trauma are risk factors for both post?traumatic stress disorder and borderline personality disorder: A systematic review on the traumatic backgrounds and clinical characteristics of comorbid post?traumatic stress disorder/borderline personality disorder groups versus single?disorder groups

Background: Both BPD and PTSD are associated with exposure to traumatic events and are highly comorbid. No review to date has addressed the clinical presentations and traumatic backgrounds associated with these disorders although this work is essential for the development of effective interventions.Objectives: To systematically explore similarities and differences in traumatic history and clinical presentation in comorbid BPD and PTSD as compared to PTSD or BPD alone.Method: The Web of Science, Cochrane Library, PsychInfo, Medline, and PILOTS databases were searched systematically. Eligible studies included adult populations, compared comorbid BPD/PTSD to a single disorder, and published in English.Results: 10,147 cases across 33 studies were included; 2057 comorbid BPD/PTSD, 2648 BPD only, and 5442 PTSD only. The comorbid group overall reported greater exposure to multiple and interpersonal trauma and elevated emotion dysregulation compared to both single disorder groups. In terms of methodological quality, most papers achieved a Fair rating with improvements required in minimising bias through recruiting adequate and representative samples, and reporting on traumatic exposure.Conclusion: Multiple and interpersonal trauma might have a unique role in the development of comorbid BPD/PTSD features, particularly so for emotion dysregulation. Future research is required to unravel the unique characteristics of interpersonal trauma that can generate BPD and PTSD symptoms.Practitioner Points• Practitioners should routinely assess for interpersonal trauma considering its impact• Tackling emotional regulation difficulties might promote recovery from both PTSD and BPD symptoms• Presence of self-injury might be used to discriminate between PTSD and BPD and offer suitable intervention

Unique Phase Transition on Spin-2 Triangular Lattice of Ag2MnO2

Ag2MnO2 is studied as a possible candidate compound for an antiferromagnetic XY spin model on a triangular lattice. In spite of the large Curie-Weiss temperature of -430 K found in magnetic susceptibi-lity, Mn3+ spins with S = 2 do not undergo a conventional long-range order down to 2 K probably owing to the geometrical frustration and two dimensionality in the system. Instead, a unique phase transition is found at 80 K, where specific heat exhibits a clear sign of a second-order phase transition, while magnetic susceptibility changes smoothly without a distinct anomaly. We think that this transition is related to the chirality degree of freedom associated with a short-range order, which has been expected for the classical XY spin model on a triangular lattice. On further cooling, spin-glass-like behavior is observed below 22 K, possibly corresponding to a quasi-long-range order.Comment: to appear in J. Phys. Soc. Jpn, Vol. 77, No.

Relations between Financing and Output in the Not-for-Profit Hospital

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68639/2/10.1177_107755878804500204.pd