TY - JOUR A1 - Lewandowski, Max T1 - Hadamard states for bosonic quantum field theory on globally hyperbolic spacetimes JF - Journal of mathematical physics N2 - According to Radzikowski’s celebrated results, bisolutions of a wave operator on a globally hyperbolic spacetime are of the Hadamard form iff they are given by a linear combination of distinguished parametrices i2(G˜aF−G˜F+G˜A−G˜R) in the sense of Duistermaat and Hörmander [Acta Math. 128, 183–269 (1972)] and Radzikowski [Commun. Math. Phys. 179, 529 (1996)]. Inspired by the construction of the corresponding advanced and retarded Green operator GA, GR as done by Bär, Ginoux, and Pfäffle {Wave Equations on Lorentzian Manifolds and Quantization [European Mathematical Society (EMS), Zürich, 2007]}, we construct the remaining two Green operators GF, GaF locally in terms of Hadamard series. Afterward, we provide the global construction of i2(G˜aF−G˜F), which relies on new techniques such as a well-posed Cauchy problem for bisolutions and a patching argument using Čech cohomology. This leads to global bisolutions of the Hadamard form, each of which can be chosen to be a Hadamard two-point-function, i.e., the smooth part can be adapted such that, additionally, the symmetry and the positivity condition are exactly satisfied. Y1 - 2022 U6 - https://doi.org/10.1063/5.0055753 SN - 0022-2488 SN - 1089-7658 VL - 63 IS - 1 PB - American Institute of Physics CY - Melville ER - TY - JOUR A1 - Tofelde, Stefanie A1 - Bufe, Aaron A1 - Turowski, Jens M. T1 - Hillslope Sediment Supply Limits Alluvial Valley Width JF - AGU Advances N2 - River-valley morphology preserves information on tectonic and climatic conditions that shape landscapes. Observations suggest that river discharge and valley-wall lithology are the main controls on valley width. Yet, current models based on these observations fail to explain the full range of cross-sectional valley shapes in nature, suggesting hitherto unquantified controls on valley width. In particular, current models cannot explain the existence of paired terrace sequences that form under cyclic climate forcing. Paired river terraces are staircases of abandoned floodplains on both valley sides, and hence preserve past valley widths. Their formation requires alternating phases of predominantly river incision and predominantly lateral planation, plus progressive valley narrowing. While cyclic Quaternary climate changes can explain shifts between incision and lateral erosion, the driving mechanism of valley narrowing is unknown. Here, we extract valley geometries from climatically formed, alluvial river-terrace sequences and show that across our dataset, the total cumulative terrace height (here: total valley height) explains 90%–99% of the variance in valley width at the terrace sites. This finding suggests that valley height, or a parameter that scales linearly with valley height, controls valley width in addition to river discharge and lithology. To explain this valley-width-height relationship, we reformulate existing valley-width models and suggest that, when adjusting to new boundary conditions, alluvial valleys evolve to a width at which sediment removal from valley walls matches lateral sediment supply from hillslope erosion. Such a hillslope-channel coupling is not captured in current valley-evolution models. Our model can explain the existence of paired terrace sequences under cyclic climate forcing and relates valley width to measurable field parameters. Therefore, it facilitates the reconstruction of past climatic and tectonic conditions from valley topography. Y1 - 2022 U6 - https://doi.org/10.1029/2021AV000641 SN - 2576-604X PB - American Geophysical Union (AGU); Wiley CY - Hoboken, New Jersey, USA ER - TY - JOUR A1 - Kastius, Alexander A1 - Schlosser, Rainer T1 - Dynamic pricing under competition using reinforcement learning JF - Journal of revenue and pricing management N2 - Dynamic pricing is considered a possibility to gain an advantage over competitors in modern online markets. The past advancements in Reinforcement Learning (RL) provided more capable algorithms that can be used to solve pricing problems. In this paper, we study the performance of Deep Q-Networks (DQN) and Soft Actor Critic (SAC) in different market models. We consider tractable duopoly settings, where optimal solutions derived by dynamic programming techniques can be used for verification, as well as oligopoly settings, which are usually intractable due to the curse of dimensionality. We find that both algorithms provide reasonable results, while SAC performs better than DQN. Moreover, we show that under certain conditions, RL algorithms can be forced into collusion by their competitors without direct communication. KW - Dynamic pricing KW - Competition KW - Reinforcement learning KW - E-commerce KW - Price collusion Y1 - 2021 U6 - https://doi.org/10.1057/s41272-021-00285-3 SN - 1476-6930 SN - 1477-657X VL - 21 IS - 1 SP - 50 EP - 63 PB - Springer Nature Switzerland AG CY - Cham ER - TY - JOUR A1 - Adair, Gigi A1 - McLaughlin, Carly T1 - Beyond humanitarianism BT - reading counternarratives of forced migration from the global south JF - Narrating Flight and Asylum Y1 - 2022 SN - 978-3-86821-965-4 SP - 165 EP - 182 PB - Trier CY - WVT Wissenschaftlicher Verlag Trier ER - TY - JOUR A1 - Miklashevsky, Alex A1 - Fischer, Martin H. A1 - Lindemann, Oliver T1 - Spatial-numerical associations without a motor response? Grip force says ‘Yes’ JF - Acta Psychologica N2 - In numerical processing, the functional role of Spatial-Numerical Associations (SNAs, such as the association of smaller numbers with left space and larger numbers with right space, the Mental Number Line hypothesis) is debated. Most studies demonstrate SNAs with lateralized responses, and there is little evidence that SNAs appear when no response is required. We recorded passive holding grip forces in no-go trials during number processing. In Experiment 1, participants performed a surface numerical decision task (“Is it a number or a letter?”). In Experiment 2, we used a deeper semantic task (“Is this number larger or smaller than five?”). Despite instruction to keep their grip force constant, participants' spontaneous grip force changed in both experiments: Smaller numbers led to larger force increase in the left than in the right hand in the numerical decision task (500–700 ms after stimulus onset). In the semantic task, smaller numbers again led to larger force increase in the left hand, and larger numbers increased the right-hand holding force. This effect appeared earlier (180 ms) and lasted longer (until 580 ms after stimulus onset). This is the first demonstration of SNAs with passive holding force. Our result suggests that (1) explicit motor response is not a prerequisite for SNAs to appear, and (2) the timing and strength of SNAs are task-dependent. (216 words). KW - SNARC KW - Mental number line KW - Number processing KW - Embodied cognition KW - Grip force KW - Motor system Y1 - 2022 U6 - https://doi.org/10.1016/j.actpsy.2022.103791 SN - 1873-6297 VL - 231 SP - 1 EP - 17 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Bürger, Gerd T1 - A conundrum of trends BT - comment on a paper by Lischeid et al. (2021) JF - Journal of hydrology N2 - This comment is meant to reiterate two warnings: One applies to the uncritical use of ready-made (openly available) program packages, and one to the estimation of trends in serially correlated time series. Both warnings apply to the recent publication of Lischeid et al. about lake-level trends in Germany. KW - Linear trends KW - Autocorrelation KW - Pre-whitening Y1 - 2022 U6 - https://doi.org/10.1016/j.jhydrol.2022.127745 SN - 0022-1694 SN - 1879-2707 VL - 609 PB - Elsevier CY - Amsterdam ER - TY - JOUR A1 - Xu, Ying T1 - Study on transport mechanism of m5C-edited mRNAs Y1 - 2022 ER - TY - JOUR A1 - Lindner, Nadja A1 - Moeller, Korbinian A1 - Hildebrandt, Frauke A1 - Hasselhorn, Marcus A1 - Lonnemann, Jan T1 - Children's use of egocentric reference frames in spatial language is related to their numerical magnitude understanding JF - Frontiers in Psychology N2 - Numerical magnitude information is assumed to be spatially represented in the form of a mental number line defined with respect to a body-centred, egocentric frame of reference. In this context, spatial language skills such as mastery of verbal descriptions of spatial position (e.g., in front of, behind, to the right/left) have been proposed to be relevant for grasping spatial relations between numerical magnitudes on the mental number line. We examined 4- to 5-year-old’s spatial language skills in tasks that allow responses in egocentric and allocentric frames of reference, as well as their relative understanding of numerical magnitude (assessed by a number word comparison task). In addition, we evaluated influences of children’s absolute understanding of numerical magnitude assessed by their number word comprehension (montring different numbers using their fingers) and of their knowledge on numerical sequences (determining predecessors and successors as well as identifying missing dice patterns of a series). Results indicated that when considering responses that corresponded to the egocentric perspective, children’s spatial language was associated significantly with their relative numerical magnitude understanding, even after controlling for covariates, such as children’s SES, mental rotation skills, and also absolute magnitude understanding or knowledge on numerical sequences. This suggests that the use of egocentric reference frames in spatial language may facilitate spatial representation of numbers along a mental number line and thus seem important for preschoolers’ relative understanding of numerical magnitude. KW - spatial language KW - frames of reference KW - numerical development KW - mental number line KW - preschool children Y1 - 2022 U6 - https://doi.org/10.3389/fpsyg.2022.943191 SN - 1664-1078 SP - 1 EP - 13 PB - Frontiers CY - Lausanne, Schweiz ER - TY - JOUR A1 - Bertelmann, Roland A1 - Mittermaier, Bernhard A1 - Kostädt, Peter T1 - Transform2Open BT - Kostenmonitoring, Kriterien, Kompetenzen und Prozesse der Open-Access-Transformation Y1 - 2022 U6 - https://doi.org/10.48440/os.helmholtz.054 PB - Helmholtz Open Science Office CY - Potsdam ER - TY - JOUR A1 - Rezori, Roman Enzio von A1 - Buchallik, Friederike A1 - Warschburger, Petra T1 - Validation of the German Benefit Finding Scale for youth with chronic conditions JF - Child and adolescent psychiatry and mental health N2 - Background Benefit finding, defined as perceiving positive life changes resulting from adversity and negative life stressors, gains growing attention in the context of chronic illness. The study aimed at examining the psychometric properties of the Benefit Finding Scale for Children (BFSC) in a sample of German youth facing chronic conditions. Methods A sample of adolescents with various chronic conditions (N = 304; 12 – 21years) completed the 10-item BFSC along with measures of intra- and interpersonal resources, coping strategies, and health-related quality of life (hrQoL). The total sample was randomly divided into two subsamples for conducting exploratory and confirmatory factor analyses (EFA/CFA). Results EFA revealed that the BFSC scores had a one-dimensional factor structure. CFA verified the one-dimensional factor structure with an acceptable fit. The BFSC exhibited acceptable internal consistency (α = 0.87 – 0.88) and construct validity. In line with our hypotheses, benefit finding was positively correlated with optimism, self-esteem, self-efficacy, sense of coherence, and support seeking. There were no correlations with avoidance, wishful thinking, emotional reaction, and hrQoL. Sex differences in benefit finding were not consistent across subsamples. Benefit finding was also positively associated with age, disease severity, and social status. Conclusions The BFSC is a psychometrically sound instrument to assess benefit finding in adolescents with chronic illness and may facilitate further research on positive adaptation processes in adolescents, irrespective of their specific diagnosis. KW - Measure validation KW - Chronic conditions KW - Resilience KW - Coping skills and adjustment KW - Youth Y1 - 2022 U6 - https://doi.org/10.1186/s13034-021-00438-7 SN - 1753-2000 VL - 16 SP - 1 EP - 8 PB - Biomed Central CY - London ER -