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 - Kuba, Markus T1 - On multisets, interpolated multiple zeta values and limit laws. JF - Electronic Journal of Combinatorics N2 - In this work we discuss a parameter σ on weighted k-element multisets of [n]={1,…,n}. The sums of weighted k-multisets are related to k-subsets, k-multisets, as well as special instances of truncated interpolated multiple zeta values. We study properties of this parameter using symbolic combinatorics. We rederive and extend certain identities for ζtn({m}k). Moreover, we introduce random variables on the k-element multisets and derive their distributions, as well as limit laws for k or n tending to infinity. KW - k-multisets KW - k-subsets KW - truncated-multiple-zeta-values KW - interpolated-multiple-zeta-values KW - harmonic-numbers Y1 - IS - Vol. 29, Issue 1 ER - TY - GEN A1 - Mairhofer, Lukas A1 - Maiwöger, Mira T1 - Entanglement: From Philosophy to Quantum Information - and back Experiments on Bell-inequalties - threat to the Theory of Relativity? KW - Quantenphysik KW - Bell-Ungleichungen KW - Verschränkung Y1 - ER - TY - GEN A1 - Mairhofer, Lukas T1 - From foundational research to application - Training Quantum Engineers KW - Didaktik KW - Quantentechnologien KW - Quantencomputer KW - Quantenkryptographie Y1 - ER - TY - GEN A1 - Mairhofer, Lukas T1 - Dying Experiments KW - Experimentalsysteme KW - Quantenphysik KW - Science and Technology Y1 - ER - TY - CHAP A1 - Krizek, Gerd Christian A1 - Langer, Karin A1 - Leitgeb, Erich A1 - Seyringer, Dana A1 - Schreivogl, Paul A1 - Grabher-Meyer, Arno T1 - Educational Activities with Photonics Explorer T2 - 2022 International Conference on Broadband Communications for Next Generation Networks and Multimedia Applications (CoBCom) N2 - In this paper we present various educational activities with Photonics Explorer, an educational kit developed by the photonics research team B - PHOT at VUB (Vrije Universiteit Brussel) for students at secondary schools. The concept is a ‘lab-in-a-box’ that enables students of the 2 nd and 3 rd grade to do photonics experiments themselves at school with lasers, LEDs, lenses, optical fibers, and other high-tech components. Even though, the kit was developed for the secondary schools, we use experiments from the kit also for some other teaching activities such as lectures at the university, photonics workshops for teachers and children at primary/secondary schools or for events such as children's/youth's university or the night of sciences. In the frame of Austrian based project Phorsch! we have organized most of these activities which will be presented here. KW - education KW - photonics Y1 - PB - IEEE ER - TY - JOUR A1 - Ahlborn, Felix A1 - Kupka, Friedrich A1 - Weiss, Achim A1 - Flaskamp, Martin T1 - Stellar evolution models with overshooting based on 3-equation non-local theories: II. Main sequence models of A- and B-type stars JF - Astronomy & Astrophysics KW - convection KW - turbulence KW - stars: evolution KW - stars: interiors Y1 - U6 - http://dx.doi.org/https://doi.org/10.1051/0004-6361/202243126 IS - Volume 667 SP - Article Number A97 ER - TY - JOUR A1 - Kupka, Friedrich A1 - Ahlborn, Felix A1 - Weiss, Achim T1 - Stellar evolution models with overshooting based on 3-equation non-local theories: I. Physical basics and the computation of the dissipation rate JF - Astronomy & Astrophysics KW - convection KW - turbulence KW - stars: evolution KW - stars: interiors Y1 - U6 - http://dx.doi.org/https://doi.org/10.1051/0004-6361/202243125 IS - Volume 667 SP - Article Number A96 ER - TY - GEN A1 - Kupka, Friedrich T1 - Requirements from WP123200 KW - astrophysics Y1 - ER - TY - GEN A1 - Kupka, Friedrich T1 - Numerical Simulation of A-type and White Dwarf Stars KW - astrophysics Y1 - ER -