Feynman integrals as Hida distributions: the case of non-perturbative potentials

Feynman integrands are constructed as Hida distributions. For our approach we first have to construct solutions to a corresponding Schroedinger equation with time-dependent potential. This is done by a generalization of the Doss approach to time-dependent potentials. This involves an expectation w.r.t. a complex scaled Brownian motion. As examples polynomial potentials of degree $4n+2, n\in\mathbb N,$ and singular potentials of the form $\frac{1}{|x|^n}, n\in\mathbb N$ and $\frac{1}{x^n}, n\in\mathbb N,$ are worked out.Comment: 12 pages, Dedicated to Jean-Michel Bismut as a small token of appreciatio

Robustly fitting Gaussian graphical models: the R-package robFitConGraph

The paper gives a tutorial-style introduction to the R-package robFitConGraph, which provides a robust goodness-of-fit test for Gaussian graphical models.Comment: 18 pages, 6 figures, 3 table

Investigating Fine Temporal Dynamics of Prosodic and Lexical Accommodation

Conversational interaction is a dynamic activity in which participants engage in the construction of meaning and in establishing and maintaining social relationships. Lexical and prosodic accommodation have been observed in many studies as contributing importantly to these dimensions of social interaction. However, while previous works have considered accommodation mechanisms at global levels (for whole conversations, halves and thirds of conversations), this work investigates their evolution through repeated analysis at time intervals of increasing granularity to analyze the dynamics of alignment in a spoken language corpus. Results show that the levels of both prosodic and lexical accommodation fluctuate several times over the course of a conversation

How does music performance anxiety relate to other anxiety disorders?

Acknowledgements The authors would like to thank all students and administrative staff of participating music universities. The authors would also like to express their appreciation to Professor Katja Beesdo-Baum and Dr Manfred Nusseck for general support, to Birgit Maicher for programming the basic version of the questionnaires and to Professor Hans-Christian Jabusch for helping to recruit participants as well as for discussions at later stages of the project. Funding The author(s) received no financial support for the research, authorship, and/or publication of this article.Peer reviewedPublisher PD

Konstruktionen von Geschlecht, Sexualität und Behinderung im Diskurs zur sexuellen Selbstbestimmung von Menschen mit Lernschwierigkeiten

Im Rahmen einer wissenssoziologischen Diskursanalyse zum Thema der sexuellen Selbstbestimmung von Menschen mit Lernschwierigkeiten werden Zuschreibungsprozesse und Normalitätskonstruktionen im fachlichen Diskurs der Pädagogik und der Sozialen Arbeit erforscht. Die intersektional angelegte Untersuchung fokussiert dabei das Wechselverhältnis der Konstruktionen von Behinderung, Geschlecht und Sexualität

On the Ground State Multiplicity of Amino-substituted Cyclopentadienyl Cations

It has been investigated by means of ab initio quantum chemical methods (optimizations on SCF level followed by single point CISD calculations; optimizations on CASSCF level), how the singlet-triplet splitting of the mono-, 1,3-di- and 1,2,4-triaminocy- clopentadienyl cation depends on the out-of-plane angle between the substituent(s) and the antiaromatic ring fragment. It has been found that all these molecules are ground state singlets in their planar equilibrium geometries. However, singlet and triplet states are nearly degenerate, if the substituent(s) is/are rotated out of the ring plane by 90°. The impact of this finding for the search for molecules with a stable high spin ground state, which may serve as building blocks for polymers with magnetic ordering, is discussed