Recapitalizing Banks with Public Funds

Recapitalizing banks in a systemic crisis is a complex medium-term process that requires significant government intervention and careful management at both the strategic and individual bank levels. This paper examines the range of operational and strategic issues involved and the institutional arrangements needed to foster an effective banking system restructuring, as well as maximize the returns on government investment. Recapitalization approaches have varied in the different mixes of direct capital injections and asset purchases and rehabilitation that countries choose. The choice of an appropriate mix is critical to minimizing the expected present value of government outlays net of recoveries. Copyright 2001, International Monetary Fund

Jacobi-Predictor-Corrector Approach for the Fractional Ordinary Differential Equations

We present a novel numerical method, called {\tt Jacobi-predictor-corrector approach}, for the numerical solution of fractional ordinary differential equations based on the polynomial interpolation and the Gauss-Lobatto quadrature w.r.t. the Jacobi-weight function $\omega(s)=(1-s)^{\alpha-1}(1+s)^0$. This method has the computational cost O(N) and the convergent order $IN$, where $N$ and $IN$ are, respectively, the total computational steps and the number of used interpolating points. The detailed error analysis is performed, and the extensive numerical experiments confirm the theoretical results and show the robustness of this method.Comment: 24 pages, 5 figure

Duality violations and spectral sum rules

We study the issue of duality violations in the VV-AA vacuum polarization function in the chiral limit. This is done with the help of a model with an expansion in inverse powers of the number of colors, Nc, allowing us to consider resonances with a finite width. Due to these duality violations, the Operator Product Expansion (OPE) and the moments of the spectral function (e.g. the Weinberg sum rules) do not match at finite momentum, and we analyze this difference in detail. We also perform a comparative study of many of the different methods proposed in the literature for the extraction of the OPE parameters and find that, when applied to our model, they all fare quite similarly. In fact, the model strongly suggests that a significant improvement in precision can only be expected after duality violations are included. To this end, we propose a method to parameterize these duality violations. The method works quite well for the model, and we hope that it may also be useful in future determinations of OPE parameters in QCD.Comment: 29 pages, 9 figures, LateX file. Small changes to match journal versio

A treatment strategy for meeting life as it is. Patients' and therapists' experiences of brief therapy in a district psychiatric centre: A qualitative study

Abstract Background: Young adults increasingly seek help for mental health problems. In 2016, a district psychiatric centre in Norway started a brief treatment program to provide early and effective help for moderate depression and anxiety. Aim: Exploring patients' and therapists' experiences of brief therapy, especially how the time limitation influences the treatment process. Methods: Individual interviews with 12 patients and focus group interviews with eight therapists analyzed using systematic text condensation. Results: The results constitute five themes: (1) Time-limit as a frame for targeted change, (2) Clarifying expectations and accountability, (3) Shared agreement on a defined treatment-project, (4) Providing tools instead of searching for causes, and (5) Learning to cope-not being cured. Conclusion: Time-limitation in brief therapy appeared to play a positive role, helping the therapists to structure the therapeutic process and strengthening patients' motivation. Shared understanding and activation during brief therapy may reinforce patients' responsibility and expectations to achieve individual goals. Brief therapy can be viewed as the start of a personal process towards "mastering life as it is". More research is needed to investigate the patients' long-term outcomes after treatment and to shed light on the potential for, and limitations of, mastering everyday-life.publishedVersio

Generalized Phase Space Representation of Operators

Introducing asymmetry into the Weyl representation of operators leads to a variety of phase space representations and new symbols. Specific generalizations of the Husimi and the Glauber-Sudarshan symbols are explicitly derivedComment: latex, 8 pages, expanded version accepted by J. Phys.

Localization in Strongly Chaotic Systems

We show that, in the semiclassical limit and whenever the elements of the Hamiltonian matrix are random enough, the eigenvectors of strongly chaotic time-independent systems in ordered bases can on average be exponentially localized across the energy shell and decay faster than exponentially outside the energy shell. Typically however, matrix elements are strongly correlated leading to deviations from such behavior.Comment: RevTeX, 5 pages + 3 postscript figures, submitted to Phys. Rev. Let