TY - JOUR A1 - Unterkofler, Karl A1 - Teschl, Susanne T1 - On the influence of inhaled volatile organic compounds (VOCs) on exhaled VOCs concentrations JF - Proceedings of the 10. Forschungsforum der Österreichischen Fachhochschulen KW - Organic Compounds Y1 - 2018 ER - TY - GEN A1 - Simeonov, Emil T1 - Living Mathematics—some limits for abstraction in mathematics and their relation to experience KW - Mathematics Y1 - ER - TY - CHAP A1 - Simeonov, Emil T1 - Is Mathematics an Issue of General Education? T2 - Mathematical Cultures: The London Meetings 2012-2014 KW - Mathematics KW - Education Y1 - 2018 ER - TY - GEN A1 - Simeonov, Emil A1 - Pieronkiewicz, Barbara T1 - The Global Math Project KW - Mathematics Y1 - 2018 ER - TY - GEN A1 - Simeonov, Emil T1 - Is Mathematics an Issue of General Education? KW - Mathematics KW - Education Y1 - 2018 ER - TY - GEN A1 - Simeonov, Emil T1 - Structure, Semiosis and Time - Anticipation and Surprise Recognition of Structure and Gestalt – exemplified by similarities between music and mathematics KW - Mathematics Y1 - ER - TY - JOUR A1 - Kuba, Markus A1 - Panholzer, Alois T1 - On bucket increasing trees, clustered increasing trees and increasing diamonds JF - Combinatorics, Probability and Computing N2 - In this work we analyse bucket increasing tree families. We introduce two simple stochastic growth processes, generating random bucket increasing trees of size n, complementing the earlier result of Mahmoud and Smythe (1995, Theoret. Comput. Sci.144 221–249.) for bucket recursive trees. On the combinatorial side, we define multilabelled generalisations of the tree families d-ary increasing trees and generalised plane-oriented recursive trees. Additionally, we introduce a clustering process for ordinary increasing trees and relate it to bucket increasing trees. We discuss in detail the bucket size two and present a bijection between such bucket increasing tree families and certain families of graphs called increasing diamonds, providing an explanation for phenomena observed by Bodini et al. (2016, Lect. Notes Comput. Sci.9644 207–219.). Concerning structural properties of bucket increasing trees, we analyse the tree parameter Kn . It counts the initial bucket size of the node containing label n in a tree of size n and is closely related to the distribution of node types. Additionally, we analyse the parameters descendants of label j and degree of the bucket containing label j, providing distributional decompositions, complementing and extending earlier results (Kuba and Panholzer (2010), Theoret. Comput. Sci.411(34–36) 3255–3273.). KW - bucket-increasing-trees KW - clustered-trees KW - stochastic-growth-processes KW - descendants KW - nodedegrees Y1 - 2021 IS - Volume 31 , Issue 4 SP - 629 EP - 661 ER - TY - JOUR A1 - Huber, Albert T1 - Remark on the quasilocal calculation of tidal heating: Energy transfer through the quasilocal surface JF - American Physical Society - Physical Review D N2 - In this paper, using the quasilocal formalism of Brown and York, the flow of energy through a closed surface containing a gravitating physical system is calculated in a way that augments earlier results on the subject by Booth and Creighton. To this end, by performing a variation of the total gravitational Hamiltonian (bulk plus boundary part), it is shown that associated tidal heating and deformation effects generally are larger than expected. This is because the aforementioned variation leads to previously unrecognized correction terms, including a bulk-to-boundary inflow term that does not appear in the original calculation of the time derivative of the Brown-York energy and leads to corrective extensions of Einstein’s quadrupole formula in the large sphere limit. KW - gravitation KW - cosmology KW - fields Y1 - VL - 105 IS - 2 ER - TY - JOUR A1 - Mairhofer, Lukas A1 - Passon, Oliver T1 - Reconsidering the Relation Between “Matter Wave Interference” and “Wave–Particle Duality” JF - Foundations of Physics N2 - Interference of more and more massive objects provides a spectacular confirmation of quantum theory. It is usually regarded as support for “wave–particle duality” and in an extension of this duality even as support for “complementarity”. We first give an outline of the historical development of these notions. Already here it becomes evident that they are hard to define rigorously, i.e. have mainly a heuristic function. Then we discuss recent interference experiments of large and complex molecules which seem to support this heuristic function of “duality”. However, we show that in these experiments the diffraction of a delocalized center-of-mass wave function depends on the interaction of the localized structure of the molecule with the diffraction element. Thus, the molecules display “dual features” at the same time, which contradicts the usual understanding of wave–particle duality. We conclude that the notion of “wave–particle duality” deserves no place in modern quantum physics. KW - Quantenmechanik KW - Welle-Teilchen-Dualismus KW - Interferenz Y1 - IS - 52/32 PB - Springer ER - TY - JOUR A1 - Huber, Albert T1 - The gravitational field of a massless particle on the horizon of a stationary black hole JF - Classical and Quantum Gravity N2 - In this work, the field of a gravitational shockwave generated by a massless point-like particle is calculated at the event horizon of a stationary Kerr–Newman black hole. Using the geometric framework of generalized Kerr–Schild deformations in combination with the spin-coefficient formalism of Newman and Penrose, it is shown that the field equations of the theory, at the event horizon of the black hole, can be reduced to a single linear ordinary differential equation for the so-called profile function of the geometry. This differential relation is solved exactly. Based on the results obtained, a physical interpretation is given for the found shockwave spacetime, and it is clarified how these results lead back to those of previous works on the subject, which deal with the much simpler cases of gravitational shockwaves in static black hole backgrounds. KW - Gravitation Y1 - ER -