@article{UnterkoflerTeschl, author = {Unterkofler, Karl and Teschl, Susanne}, title = {On the influence of inhaled volatile organic compounds (VOCs) on exhaled VOCs concentrations}, series = {Proceedings of the 10. Forschungsforum der {\"O}sterreichischen Fachhochschulen}, journal = {Proceedings of the 10. Forschungsforum der {\"O}sterreichischen Fachhochschulen}, subject = {Organic Compounds}, language = {en} } @article{KubaPanholzer, author = {Kuba, Markus and Panholzer, Alois}, title = {On bucket increasing trees, clustered increasing trees and increasing diamonds}, series = {Combinatorics, Probability and Computing}, journal = {Combinatorics, Probability and Computing}, number = {Volume 31 , Issue 4}, pages = {629 -- 661}, abstract = {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.).}, subject = {bucket-increasing-trees}, language = {en} } @article{Huber, author = {Huber, Albert}, title = {Remark on the quasilocal calculation of tidal heating: Energy transfer through the quasilocal surface}, series = {American Physical Society - Physical Review D}, volume = {105}, journal = {American Physical Society - Physical Review D}, number = {2}, abstract = {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.}, subject = {gravitation}, language = {en} } @article{MairhoferPasson, author = {Mairhofer, Lukas and Passon, Oliver}, title = {Reconsidering the Relation Between "Matter Wave Interference" and "Wave-Particle Duality"}, series = {Foundations of Physics}, journal = {Foundations of Physics}, number = {52/32}, publisher = {Springer}, abstract = {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.}, subject = {Quantenmechanik}, language = {en} } @article{Huber, author = {Huber, Albert}, title = {The gravitational field of a massless particle on the horizon of a stationary black hole}, series = {Classical and Quantum Gravity}, journal = {Classical and Quantum Gravity}, abstract = {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.}, subject = {Gravitation}, language = {en} } @article{Kuba, author = {Kuba, Markus}, title = {On multisets, interpolated multiple zeta values and limit laws.}, series = {Electronic Journal of Combinatorics}, journal = {Electronic Journal of Combinatorics}, number = {Vol. 29, Issue 1}, abstract = {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.}, subject = {k-multisets}, language = {en} } @article{HoffmannKuba, author = {Hoffmann, Michael E. and Kuba, Markus}, title = {Logarithmic integrals, zeta values, and tiered binomial coeffcients}, series = {Monatshefte fuer Mathematik}, journal = {Monatshefte fuer Mathematik}, subject = {Integrals}, language = {en} } @article{BelkacemKupkaPhilidetetal., author = {Belkacem, K{\´e}vin and Kupka, Friedrich and Philidet, Jordan and Samadi, R{\´e}za}, title = {Surface effects and turbulent pressure. Assessing the Gas-Γ1 and Reduced-Γ1 empirical models.}, series = {Astronomy \& Astrophysics}, journal = {Astronomy \& Astrophysics}, subject = {Surface}, language = {en} } @article{KialkaSticklerHornbergeretal., author = {Kialka, Filip and Stickler, Benjamin and Hornberger, Klaus and Fein, Yaakov and Geyer, Philipp and Mairhofer, Lukas and Gerlich, Stefan and Arndt, Markus}, title = {Concepts for long-baseline, high-mass matter-wave interferometry}, series = {Physica Scripta}, journal = {Physica Scripta}, number = {94, 2019}, abstract = {Designing experiments which delocalize ever more complex and more massive particles requires a quantitative assessment of new interferometer configurations. Here, we introduce a figure of merit which quantifies the difference between a genuine quantum interference pattern and a classical shadow and use it to compare a number of near-field interferometer schemes. This allows us to identify the most promising setups for future tests of the quantum superposition principle, and to discuss the perspectives of interferometry with complex molecules and clusters.}, subject = {Matter wave optics}, language = {en} } @article{Huber, author = {Huber, Albert}, title = {Junction Conditions and local Spacetimes in General Relativity}, series = {The European Physical Journal C}, journal = {The European Physical Journal C}, abstract = {In the present work, a theoretical framework focussing on local geometric deformations is introduced in order to cope with the problem of how to join spacetimes with different geometries and physical properties. This framework is used to show that two Lorentzian manifolds can be matched by considering local deformations of the associated spacetime metrics. Based on the fact that metrics can be suitably matched in this way, it is shown that the underlying geometric approach allows the characterization of local spacetimes in general relativity. Furthermore, it is shown that said approach not only extends the conventional thin shell formalism, but also allows the treatment of geometric problems that cannot be treated with standard gluing techniques.}, subject = {Relativity}, language = {en} }