TY - JOUR A1 - Maghsoudi, Samira A1 - Cesca, Simone A1 - Hainzl, Sebastian A1 - Dahm, Torsten A1 - Zöller, Gert A1 - Kaiser, Diethelm T1 - Maximum Magnitude of Completeness in a Salt Mine JF - Bulletin of the Seismological Society of America N2 - In this study, we analyze acoustic emission (AE) data recorded at the Morsleben salt mine, Germany, to assess the catalog completeness, which plays an important role in any seismicity analysis. We introduce the new concept of a magnitude completeness interval consisting of a maximum magnitude of completeness (M-c(max)) in addition to the well-known minimum magnitude of completeness. This is required to describe the completeness of the catalog, both for the smallest events (for which the detection performance may be low) and for the largest ones (which may be missed because of sensors saturation). We suggest a method to compute the maximum magnitude of completeness and calculate it for a spatial grid based on (1) the prior estimation of saturation magnitude at each sensor, (2) the correction of the detection probability function at each sensor, including a drop in the detection performance when it saturates, and (3) the combination of detection probabilities of all sensors to obtain the network detection performance. The method is tested using about 130,000 AE events recorded in a period of five weeks, with sources confined within a small depth interval, and an example of the spatial distribution of M-c(max) is derived. The comparison between the spatial distribution of M-c(max) and of the maximum possible magnitude (M-max), which is here derived using a recently introduced Bayesian approach, indicates that M-max exceeds M-c(max) in some parts of the mine. This suggests that some large and important events may be missed in the catalog, which could lead to a bias in the hazard evaluation. Y1 - 2015 U6 - https://doi.org/10.1785/0120140039 SN - 0037-1106 SN - 1943-3573 VL - 105 IS - 3 SP - 1491 EP - 1501 PB - Seismological Society of America CY - Albany ER - TY - JOUR A1 - Flad, Heinz-Jürgen A1 - Harutyunyan, Gohar A1 - Schulze, Bert-Wolfgang T1 - Singular analysis and coupled cluster theory JF - Physical chemistry, chemical physics : a journal of European Chemical Societies N2 - The primary motivation for systematic bases in first principles electronic structure simulations is to derive physical and chemical properties of molecules and solids with predetermined accuracy. This requires a detailed understanding of the asymptotic behaviour of many-particle Coulomb systems near coalescence points of particles. Singular analysis provides a convenient framework to study the asymptotic behaviour of wavefunctions near these singularities. In the present work, we want to introduce the mathematical framework of singular analysis and discuss a novel asymptotic parametrix construction for Hamiltonians of many-particle Coulomb systems. This corresponds to the construction of an approximate inverse of a Hamiltonian operator with remainder given by a so-called Green operator. The Green operator encodes essential asymptotic information and we present as our main result an explicit asymptotic formula for this operator. First applications to many-particle models in quantum chemistry are presented in order to demonstrate the feasibility of our approach. The focus is on the asymptotic behaviour of ladder diagrams, which provide the dominant contribution to short-range correlation in coupled cluster theory. Furthermore, we discuss possible consequences of our asymptotic analysis with respect to adaptive wavelet approximation. Y1 - 2015 U6 - https://doi.org/10.1039/c5cp01183c SN - 1463-9076 SN - 1463-9084 VL - 17 IS - 47 SP - 31530 EP - 31541 PB - Royal Society of Chemistry CY - Cambridge ER - TY - JOUR A1 - Chang, Der-Chen A1 - Qian, Tao A1 - Schulze, Bert-Wolfgang T1 - Corner Boundary Value Problems JF - Complex analysis and operator theory N2 - Boundary value problems on a manifold with smooth boundary are closely related to the edge calculus where the boundary plays the role of an edge. The problem of expressing parametrices of Shapiro-Lopatinskij elliptic boundary value problems for differential operators gives rise to pseudo-differential operators with the transmission property at the boundary. However, there are interesting pseudo-differential operators without the transmission property, for instance, the Dirichlet-to-Neumann operator. In this case the symbols become edge-degenerate under a suitable quantisation, cf. Chang et al. (J Pseudo-Differ Oper Appl 5(2014):69-155, 2014). If the boundary itself has singularities, e.g., conical points or edges, then the symbols are corner-degenerate. In the present paper we study elements of the corresponding corner pseudo-differential calculus. KW - Corner pseudo-differential operators KW - Ellipticity of corner-degenerate operators KW - Meromorphic operator-valued symbols Y1 - 2015 U6 - https://doi.org/10.1007/s11785-014-0424-9 SN - 1661-8254 SN - 1661-8262 VL - 9 IS - 5 SP - 1157 EP - 1210 PB - Springer CY - Basel ER - TY - JOUR A1 - Lyu, Xiaojing A1 - Qian, Tao A1 - Schulze, Bert-Wolfgang T1 - Order filtrations of the edge algebra JF - Journal of pseudo-differential operators and applications N2 - By edge algebra we understand a pseudo-differential calculus on a manifold with edge. The operators have a two-component principal symbolic hierarchy which determines operators up to lower order terms. Those belong to a filtration of the corresponding operator spaces. We give a new characterisation of this structure, based on an alternative representation of edge amplitude functions only containing holomorphic edge-degenerate Mellin symbols. Y1 - 2015 U6 - https://doi.org/10.1007/s11868-015-0126-8 SN - 1662-9981 SN - 1662-999X VL - 6 IS - 3 SP - 279 EP - 305 PB - Springer CY - Basel ER - TY - CHAP A1 - Steenholdt, Casper A1 - Edlund, Helena A1 - Ainsworth, Mark A. A1 - Brynskov, Jorn A1 - Thomsen, Ole Ostergaard A1 - Huisinga, Wilhelm A1 - Kloft, Charlotte T1 - Relationship between measures of infliximab exposure and clinical outcome of infliximab intensification at therapeutic failure in Crohn's disease T2 - JOURNAL OF CROHNS & COLITIS Y1 - 2015 SN - 1873-9946 SN - 1876-4479 VL - 9 SP - S330 EP - S330 PB - Oxford Univ. Press CY - Oxford ER -