TY - INPR A1 - Fedchenko, Dmitry A1 - Tarkhanov, Nikolai Nikolaevich T1 - An index formula for Toeplitz operators N2 - We prove a Fedosov index formula for the index of Toeplitz operators connected with the Hardy space of solutions to an elliptic system of first order partial differential equations in a bounded domain of Euclidean space with infinitely differentiable boundary. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 3(2014)12 KW - Toeplitz operators KW - Fredholm property KW - index Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-72499 SN - 2193-6943 VL - 3 IS - 12 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Sultanov, Oskar A1 - Kalyakin, Leonid A1 - Tarkhanov, Nikolai Nikolaevich T1 - Elliptic perturbations of dynamical systems with a proper node N2 - The paper is devoted to asymptotic analysis of the Dirichlet problem for a second order partial differential equation containing a small parameter multiplying the highest order derivatives. It corresponds to a small perturbation of a dynamical system having a stationary solution in the domain. We focus on the case where the trajectories of the system go into the domain and the stationary solution is a proper node. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 3 (2014) 4 KW - dynamical system KW - singular perturbation KW - asymptotic methods Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-70460 SN - 2193-6943 VL - 3 IS - 4 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Conforti, Giovanni A1 - Léonard, Christian A1 - Murr, Rüdiger A1 - Roelly, Sylvie T1 - Bridges of Markov counting processes : reciprocal classes and duality formulas N2 - Processes having the same bridges are said to belong to the same reciprocal class. In this article we analyze reciprocal classes of Markov counting processes by identifying their reciprocal invariants and we characterize them as the set of counting processes satisfying some duality formula. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 3 (2014) 9 KW - counting process KW - bridge KW - reciprocal class KW - duality formula Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-71855 SN - 2193-6943 VL - 3 IS - 9 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Flandoli, Franco A1 - Högele, Michael T1 - A solution selection problem with small stable perturbations N2 - The zero-noise limit of differential equations with singular coefficients is investigated for the first time in the case when the noise is a general alpha-stable process. It is proved that extremal solutions are selected and the probability of selection is computed. Detailed analysis of the characteristic function of an exit time form on the half-line is performed, with a suitable decomposition in small and large jumps adapted to the singular drift. T3 - Preprints des Instituts für Mathematik der Universität Potsdam - 3 (2014) 8 KW - stochastic differential equations KW - singular drifts KW - zero-noise limit KW - Peano phenomena KW - non-uniqueness Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-71205 SN - 2193-6943 VL - 3 IS - 8 PB - Universitätsverlag Potsdam CY - Potsdam ER - TY - INPR A1 - Schlaad, Helmut T1 - Thiol-X chemistry in polymer science T2 - Polymer : the international journal for the science and technology of polymers Y1 - 2014 U6 - https://doi.org/10.1016/j.polymer.2014.09.020 SN - 0032-3861 SN - 1873-2291 VL - 55 IS - 22 SP - 5509 EP - 5510 PB - Elsevier CY - Oxford ER - TY - INPR A1 - Baudis, Stefan A1 - Behl, Marc A1 - Lendlein, Andreas T1 - Smart polymers for biomedical applications T2 - Macromolecular chemistry and physics Y1 - 2014 U6 - https://doi.org/10.1002/macp.201400561 SN - 1022-1352 SN - 1521-3935 VL - 215 IS - 24 SP - 2399 EP - 2402 PB - Wiley-VCH CY - Weinheim ER - TY - INPR A1 - Henkel, Carsten A1 - Pieplow, Gregor T1 - Reply to Comment on 'Fully covariant radiation force on a polarizable particle' T2 - New journal of physics : the open-access journal for physics N2 - We argue that the theories of Volokitin and Persson (2014 New J. Phys. 16 118001), Dedkov and Kyasov (2008 J. Phys.: Condens. Matter 20 354006), and Pieplow and Henkel (2013 New J. Phys. 15 023027) agree on the electromagnetic force on a small, polarizable particle that is moving parallel to a planar, macroscopic body, as far as the contribution of evanescent waves is concerned. The apparent differences are discussed in detail and explained by choices of units and integral transformations. We point out in particular the role of the Lorentz contraction in the procedure used by Volokitin and Persson, where a macroscopic body is 'diluted' to obtain the force on a small particle. Differences that appear in the contribution of propagating photons are briefly mentioned. KW - applied classical electromagnetism KW - fluctuation phenomena KW - random processes KW - noise KW - Brownian motion KW - mechanical effects of light Y1 - 2014 U6 - https://doi.org/10.1088/1367-2630/16/11/118002 SN - 1367-2630 VL - 16 PB - IOP Publ. Ltd. CY - Bristol ER - TY - INPR A1 - Freundt, A. A1 - Halama, Ralf A1 - Suess, E. A1 - Voelker, D. T1 - Introduction to the special issue on SFB 574 "Volatiles and fluids in subduction zones: climate feedback and trigger mechanisms for natural disasters" T2 - International journal of earth sciences Y1 - 2014 U6 - https://doi.org/10.1007/s00531-014-1059-9 SN - 1437-3254 SN - 1437-3262 VL - 103 IS - 7 SP - 1729 EP - 1731 PB - Springer CY - New York ER - TY - INPR A1 - Schwarz, Wolfgang A1 - Miller, Jeff O. T1 - When less equals more: probability summation without sensitivity improvement T2 - Journal of experimental psychology : Human perception and performance N2 - Many perceptual and cognitive tasks permit or require the integrated cooperation of specialized sensory channels, detectors, or other functionally separate units. In compound detection or discrimination tasks, 1 prominent general mechanism to model the combination of the output of different processing channels is probability summation. The classical example is the binocular summation model of Pirenne (1943), according to which a weak visual stimulus is detected if at least 1 of the 2 eyes detects this stimulus; as we review briefly, exactly the same reasoning is applied in numerous other fields. It is generally accepted that this mechanism necessarily predicts performance based on 2 (or more) channels to be superior to single channel performance, because 2 separate channels provide "2 chances" to succeed with the task. We argue that this reasoning is misleading because it neglects the increased opportunity with 2 channels not just for hits but also for false alarms and that there may well be no redundancy gain at all when performance is measured in terms of receiver operating characteristic curves. We illustrate and support these arguments with a visual detection experiment involving different spatial uncertainty conditions. Our arguments and findings have important implications for all models that, in one way or another, rest on, or incorporate, the notion of probability summation for the analysis of detection tasks, 2-alternative forced-choice tasks, and psychometric functions. KW - probability summation KW - compound detection or discrimination KW - redundancy gain KW - ROC curve KW - 2AFC KW - psychometric functions Y1 - 2014 U6 - https://doi.org/10.1037/a0037548 SN - 0096-1523 SN - 1939-1277 VL - 40 IS - 5 SP - 2091 EP - 2100 PB - American Psychological Association CY - Washington ER - TY - INPR A1 - Lucke, Ulrike A1 - Steinmetz, Ralf T1 - Special issue on "Pervasive Education" T2 - Pervasive and mobile computing Y1 - 2014 U6 - https://doi.org/10.1016/j.pmcj.2014.08.001 SN - 1574-1192 SN - 1873-1589 VL - 14 SP - 1 EP - 2 PB - Elsevier CY - Amsterdam ER -