TY - JOUR A1 - Menne, Ulrich T1 - Weakly Differentiable Functions on Varifolds JF - Indiana University mathematics journal N2 - The present paper is intended to provide the basis for the study of weakly differentiable functions on rectifiable varifolds with locally bounded first variation. The concept proposed here is defined by means of integration-by-parts identities for certain compositions with smooth functions. In this class, the idea of zero boundary values is realised using the relative perimeter of superlevel sets. Results include a variety of Sobolev Poincare-type embeddings, embeddings into spaces of continuous and sometimes Holder-continuous functions, and point wise differentiability results both of approximate and integral type as well as coarea formulae. As a prerequisite for this study, decomposition properties of such varifolds and a relative isoperimetric inequality are established. Both involve a concept of distributional boundary of a set introduced for this purpose. As applications, the finiteness of the geodesic distance associated with varifolds with suitable summability of the mean curvature and a characterisation of curvature varifolds are obtained. KW - Rectifiable varifold KW - (generalised) wealdy differentiable function KW - distributional boundary KW - decomposition KW - relative isoperimetric inequality KW - Sobolev Poincare inequality KW - approximate differentiability KW - coarea formula KW - geodesic distance KW - curvature varifold Y1 - 2016 U6 - https://doi.org/10.1512/iumj.2016.65.5829 SN - 0022-2518 SN - 1943-5258 VL - 65 SP - 977 EP - 1088 PB - Indiana University, Department of Mathematics CY - Bloomington ER - TY - GEN A1 - Hodgkins, Suzanne B. A1 - Richardson, Curtis J. A1 - Dommain, René A1 - Wang, Hongjun A1 - Glaser, Paul H. A1 - Verbeke, Brittany A1 - Winkler, B. Rose A1 - Cobb, Alexander R. A1 - Rich, Virginia I. A1 - Missilmani, Malak A1 - Flanagan, Neal A1 - Ho, Mengchi A1 - Hoyt, Alison M. A1 - Harvey, Charles F. A1 - Vining, S. Rose A1 - Hough, Moira A. A1 - Moore, Tim R. A1 - Richard, Pierre J. H. A1 - De La Cruz, Florentino B. A1 - Toufaily, Joumana A1 - Hamdan, Rasha A1 - Cooper, William T. A1 - Chanton, Jeffrey P. T1 - Tropical peatland carbon storage linked to global latitudinal trends in peat recalcitrance T2 - Postprints der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe N2 - Peatlands represent large terrestrial carbon banks. Given that most peat accumulates in boreal regions, where low temperatures and water saturation preserve organic matter, the existence of peat in (sub)tropical regions remains enigmatic. Here we examined peat and plant chemistry across a latitudinal transect from the Arctic to the tropics. Near-surface low-latitude peat has lower carbohydrate and greater aromatic content than near-surface high-latitude peat, creating a reduced oxidation state and resulting recalcitrance. This recalcitrance allows peat to persist in the (sub)tropics despite warm temperatures. Because we observed similar declines in carbohydrate content with depth in high-latitude peat, our data explain recent field-scale deep peat warming experiments in which catotelm (deeper) peat remained stable despite temperature increases up to 9 degrees C. We suggest that high-latitude deep peat reservoirs may be stabilized in the face of climate change by their ultimately lower carbohydrate and higher aromatic composition, similar to tropical peats. T3 - Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe - 1125 KW - dissolved organic matter KW - greenhouse gas fluxes KW - permafrost thaw KW - Northern Minnesota KW - FTIR spectroscopy KW - lignin content KW - brown rot KW - decomposition KW - chemistry KW - dynamics Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-459658 SN - 1866-8372 IS - 1125 ER - TY - GEN A1 - Jacob, Gunnar T1 - The L2 decomposition of transparent derived verbs - Is it ‘morphological’? BT - A commentary on De Grauwe, Lemhofer, Willems, & Schriefers (2014) T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 496 KW - morphological processing KW - derivational affixes KW - decomposition KW - non-native speakers Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-406512 SN - 1866-8364 IS - 496 ER - TY - INPR A1 - Jacob, Gunnar T1 - The L2 decomposition of transparent derived verbs - Is it 'morphological'? A commentary on De Grauwe, Lemhofer, Willems, & Schriefers (2014) T2 - Frontiers in human neuroscienc KW - morphological processing KW - derivational affixes KW - decomposition KW - non-native speakers Y1 - 2015 U6 - https://doi.org/10.3389/fnhum.2015.00220 SN - 1662-5161 VL - 9 PB - Frontiers Research Foundation CY - Lausanne ER - TY - JOUR A1 - Tronicke, Jens A1 - Allroggen, Niklas A1 - Biermann, Felix A1 - Fanselow, Florian A1 - Guillemoteau, Julien A1 - Krauskopf, Christof A1 - Lück, Erika T1 - Rapid multiscale analysis of near-surface geophysical anomaly maps BT - application to an archaeogeophysical data set JF - Geophysics N2 - In near- surface geophysics, ground-based mapping surveys are routinely used in a variety of applications including those from archaeology, civil engineering, hydrology, and soil science. The resulting geophysical anomaly maps of, for example, magnetic or electrical parameters are usually interpreted to laterally delineate subsurface structures such as those related to the remains of past human activities, subsurface utilities and other installations, hydrological properties, or different soil types. To ease the interpretation of such data sets, we have developed a multiscale processing, analysis, and visualization strategy. Our approach relies on a discrete redundant wavelet transform (RWT) implemented using cubic-spline filters and the a trous algorithm, which allows to efficiently compute a multiscale decomposition of 2D data using a series of 1D convolutions. The basic idea of the approach is presented using a synthetic test image, whereas our archaeogeophysical case study from northeast Germany demonstrates its potential to analyze and process rather typical geophysical anomaly maps including magnetic and topographic data. Our vertical-gradient magnetic data show amplitude variations over several orders of magnitude, complex anomaly patterns at various spatial scales, and typical noise patterns, whereas our topographic data show a distinct hill structure superimposed by a microtopographic stripe pattern and random noise. Our results demonstrate that the RWT approach is capable to successfully separate these components and that selected wavelet planes can be scaled and combined so that the reconstructed images allow for a detailed, multiscale structural interpretation also using integrated visualizations of magnetic and topographic data. Because our analysis approach is straightforward to implement without laborious parameter testing and tuning, computationally efficient, and easily adaptable to other geophysical data sets, we believe that it can help to rapidly analyze and interpret different geophysical mapping data collected to address a variety of near-surface applications from engineering practice and research. KW - archaeology KW - case history KW - near surface KW - magnetics KW - decomposition Y1 - 2020 U6 - https://doi.org/10.1190/GEO2019-0564.1 SN - 0016-8033 SN - 1942-2156 VL - 85 IS - 4 SP - B109 EP - B118 PB - Society of Exploration Geophysicists CY - Tulsa, Okla. ER - TY - THES A1 - Fleischhauer, Elisabeth T1 - Morphological processing in children : an experimental study of German past participles T1 - Morphologische Verarbeitung in Kindern: Eine experimentelle Studie zu deutschen Partizipien N2 - An important strand of research has investigated the question of how children acquire a morphological system using offline data from spontaneous or elicited child language. Most of these studies have found dissociations in how children apply regular and irregular inflection (Marcus et al. 1992, Weyerts & Clahsen 1994, Rothweiler & Clahsen 1993). These studies have considerably deepened our understanding of how linguistic knowledge is acquired and organised in the human mind. Their methodological procedures, however, do not involve measurements of how children process morphologically complex forms in real time. To date, little is known about how children process inflected word forms. The aim of this study is to investigate children’s processing of inflected words in a series of on-line reaction time experiments. We used a cross-modal priming experiment to test for decompositional effects on the central level. We used a speeded production task and a lexical decision task to test for frequency effects on access level in production and recognition. Children’s behaviour was compared to adults’ behaviour towards three participle types (-t participles, e.g. getanzt ‘danced’ vs. -n participles with stem change, e.g. gebrochen ‘broken’ vs.-n participles without stem change, e.g. geschlafen ‘slept’). For the central level, results indicate that -t participles but not -n participles have decomposed representations. For the access level, results indicate that -t participles are represented according to their morphemes and additionally as full forms, at least from the age of nine years onwards (Pinker 1999 and Clahsen et al. 2004). Further evidence suggested that -n participles are represented as full-form entries on access level and that -n participles without stem change may encode morphological structure (cf. Clahsen et al. 2003). Out data also suggests that processing strategies for -t participles are differently applied in recognition and production. These results provide evidence that children (within the age range tested) employ the same mechanisms for processing participles as adults. The child lexicon grows as children form additional full-form representations for -t participles on access level and elaborate their full-form lexical representations of -n participles on central level. These results are consistent with processing as explained in dual-system theories. N2 - Ein wichtiger Forschungsbereich hat anhand von offline Daten erforscht wie Kinder das morphologische System erwerben. Die meisten dieser Studien haben berichtet, dass Kinder die regelmäßige und die unregelmäßige Flexion unterschiedlich anwenden (Marcus et al. 1992, Weyerts & Clahsen 1994, Rothweiler & Clahsen 1993). Diese Studien haben dazu beigetragen den Erwerb und Organisation von linguistischem Wissen besser zu verstehen. Die offline Methoden messen morphologische Verarbeitung allerdings nicht in Echtzeit. Bis heute ist wenig darüber bekannt wie Kinder flektierte Wortformen in Echtzeit verarbeiten. Die vorliegende Arbeit hat diese Frage in 6- bis 11jährigen monolingualen Kindern (in zwei Altersgruppen) und in einer Erwachsenen-Kontrollgruppe anhand von -t Partizipien (z.B. gemacht), -n Partizipien ohne Stammveränderung (z.B. geschlafen) und -n Partizipien mit Stammveränderung (z.B. gebrochen) untersucht. Dekomposition von Partizipien und deren ganzheitliche Speicherung in assoziativen Netzwerken wurden auf zwei Repräsentationsebenen (zentrale Ebene, Zugriffebene) und, auf der Zugriffsebene, in zwei Modalitäten (Produktion, Verstehen) experimentell getestet. Ein cross-modal priming experiment untersuchte die zentrale Repräsentation von Partizipien. Volle morphologische Primingeffekte sprechen für eine dekomponierte Repräsentation, partielle Primingeffekte für ganzheitliche aber verbundene Repräsentationen. In einem speeded production experiment wurde die auditive Zugriffsrepräsentation und in einem lexical decision experiment die visuelle Zugriffsrepräsentation von Partizipien untersucht. (Ganzwort-) Frequenzeffekte wurden als Beleg für Ganzwortrepräsentationen gewertet. Bezüglich der zentralen Ebene zeigen die Ergebnisse, dass -t Partizipien aber nicht -n Partizipien dekomponiert repräsentiert sind. Bezüglich der Zugriffsebene zeigen die Ergebnisse, dass -t Partizipien entsprechend ihrer Morpheme repräsentiert sind und zusätzlich Ganzwortrepräsentationen haben können, zumindest im Altersbereich von Neun- bis Elfjährigen (Pinker 1999 and Clahsen et al. 2004). Weitere Ergebnisse zeigten, dass -n Partizipien auf der Zugriffsebene Ganzwortrepräsentationen haben, und dass -n Partizipien ohne Stammveränderung die morphologische Struktur enkodieren können (cf. Clahsen et al. 2003). Die Daten weisen auch darauf hin, dass die Verarbeitungsstrategien für -t Partizipien, zumindest in Neun- bis Elfjährigen, unterschiedlich angewandt werden. Die Ergebnisse werden als Evidenz dafür interpretiert, dass Kinder (in dem getesteten Altersbereich) dieselben Verarbeitungsmechanismen für Partizipien nutzen wie Erwachsene. Das kindliche Lexikon wächst, wenn Kinder zusätzliche Ganzwortrepräsentationen für -t Partizipien auf der Zugriffsebene bilden und ihre Ganzwortrepräsentationen für -n Partizipien auf der zentralen Ebene ausdifferenzieren. Diese Ergebnisse sind konsistent mit den Annahmen dualer Verarbeitungstheorien. KW - kindliche Sprachverarbeitung KW - Morphologie KW - deutsche Partizipien KW - Dekomposition KW - Lexikon KW - Reaktionszeitmethoden KW - child language KW - morphological processing KW - German past participles KW - decomposition KW - lexicon KW - reaction time methods Y1 - 2013 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-70581 ER - TY - JOUR A1 - Jacob, Gunnar T1 - Morphological priming in bilingualism research JF - Bilingualism : language and cognition. N2 - The review describes how morphological priming can be utilised to study the processing of morphologically complex words in bilinguals. The article starts with an overview of established experimental paradigms based on morphological priming, discusses a number of basic methodological pitfalls with regard to experimental design and materials, then reviews previous L2 morphological priming studies, and concludes with a brief discussion of recent developments in the field as well as possible future directions. KW - L2 processing KW - morphology KW - decomposition KW - morphological priming Y1 - 2017 U6 - https://doi.org/10.1017/S1366728917000451 SN - 1366-7289 SN - 1469-1841 VL - 21 IS - 3 SP - 443 EP - 447 PB - Cambridge Univ. Press CY - New York ER - TY - JOUR A1 - Cerantola, Valerio A1 - Wilke, Max A1 - Kantor, Innokenty A1 - Ismailova, Leyla A1 - Kupenko, Ilya A1 - McCammon, Catherine A1 - Pascarelli, Sakura A1 - Dubrovinsky, Leonid S. T1 - Experimental investigation of FeCO3 (siderite) stability in Earth's lower mantle using XANES spectroscopy JF - American mineralogist : an international journal of earth and planetary materials N2 - We studied FeCO3 using Fe K-edge X-ray absorption near-edge structure (XANES) spectroscopy at pressures up to 54 GPa and temperatures above 2000 K. First-principles calculations of Fe at the K-edge in FeCO3 were performed to support the interpretation of the XANES spectra. The variation of iron absorption edge features with pressure and temperature in FeCO3 matches well with recently reported observations on FeCO3 at extreme conditions, and provides new insight into the stability of Fe-carbonates in Earth's mantle. Here we show that at conditions of the mid-lower mantle, ~50 GPa and ~2200 K, FeCO3 melts and partially decomposes to high-pressure Fe3O4. Carbon (diamond) and oxygen are also inferred products of the reaction. We constrained the thermodynamic phase boundary between crystalline FeCO3 and melt to be at 51(1) GPa and ~1850 K. We observe that at 54(1) GPa, temperature-induced spin crossover of Fe2+ takes place from low to high spin such that at 1735(100) K, all iron in FeCO3 is in the high-spin state. A comparison between experiment and theory provides a more detailed understanding of FeCO3 decomposition observed in X-ray absorption spectra and helps to explain spectral changes due to pressure-induced spin crossover in FeCO3 at ambient temperature. KW - Deep carbon cycle KW - siderite KW - decomposition KW - melting KW - spin transition KW - Earth in Five Reactions: A Deep Carbon Perspective Y1 - 2019 U6 - https://doi.org/10.2138/am-2019-6428 SN - 0003-004X SN - 1945-3027 VL - 104 IS - 8 SP - 1083 EP - 1091 PB - Mineralogical Society of America CY - Chantilly ER - TY - GEN A1 - Leminen, Alina A1 - Lehtonen, Minna A1 - Bozic, Mirjana A1 - Clahsen, Harald T1 - Editorial: Morphologically Complex Words in the Mind/Brain T2 - Frontiers in human neuroscienc KW - morphology KW - derivation KW - inflection KW - compound KW - L2 KW - dyslexia KW - semantics KW - decomposition Y1 - 2016 U6 - https://doi.org/10.3389/fnhum.2016.00047 SN - 1662-5161 VL - 10 SP - 150 EP - 160 PB - Frontiers Research Foundation CY - Lausanne ER - TY - GEN A1 - Leminen, Alina A1 - Lehtonen, Minna A1 - Bozic, Mirjana A1 - Clahsen, Harald T1 - Editorial BT - morphologically complex words in the mind/brain T2 - Postprints der Universität Potsdam : Humanwissenschaftliche Reihe N2 - kein abstract vorhanden T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - 441 KW - morphology KW - derivation KW - inflection KW - compound KW - L2 KW - dyslexia KW - semantics KW - decomposition Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-407243 IS - 441 ER - TY - JOUR A1 - Lorenz, Antje A1 - Heide, Judith A1 - Burchert, Frank T1 - Compound naming in aphasia: effects of complexity, part of speech, and semantic transparency JF - Language, cognition and neuroscience KW - compound production KW - morphology KW - decomposition KW - lemma KW - part of speech KW - semantic transparency KW - aphasia KW - word-finding difficulties Y1 - 2014 U6 - https://doi.org/10.1080/01690965.2013.766357 SN - 2327-3798 SN - 2327-3801 VL - 29 IS - 1 SP - 88 EP - 106 PB - Routledge, Taylor & Francis Group CY - Abingdon ER -