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  - 
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  - JOUR
A1  - Hoffmann, Michael E.
A1  - Kuba, Markus
T1  - Logarithmic integrals, zeta values, and tiered binomial coeffcients
JF  - Monatshefte fuer Mathematik
KW  - Integrals
KW  - Binomial
KW  - Coefficient
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  - JOUR
A1  - Belkacem, Kévin
A1  - Kupka, Friedrich
A1  - Philidet, Jordan
A1  - Samadi, Réza
T1  - Surface effects and turbulent pressure. Assessing the Gas-Γ1 and Reduced-Γ1 empirical models.
JF  - Astronomy & Astrophysics
KW  - Surface
KW  - Pressure
Y1  - 
ER  - 
TY  - JOUR
A1  - Kialka, Filip
A1  - Stickler, Benjamin
A1  - Hornberger, Klaus
A1  - Fein, Yaakov
A1  - Geyer, Philipp
A1  - Mairhofer, Lukas
A1  - Gerlich, Stefan
A1  - Arndt, Markus
T1  - Concepts for long-baseline, high-mass matter-wave interferometry
JF  - Physica Scripta
N2  - 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.
KW  - Matter wave optics
KW  - Quantum optics in phase space
KW  - Meteorology
Y1  - 
IS  - 94, 2019
ER  - 
TY  - JOUR
A1  - Huber, Albert
T1  - Junction Conditions and local Spacetimes in General Relativity
JF  - The European Physical Journal C
N2  - 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.
KW  - Relativity
Y1  - 
ER  - 
TY  - JOUR
A1  - Schätti, Jonas
A1  - Köhler, Valentin
A1  - Mayor, Marcel
A1  - Fein, Yaakov
A1  - Geyer, Philipp
A1  - Mairhofer, Lukas
A1  - Gerlich, Stefan
A1  - Arndt, Markus
T1  - Matter-wave interference and deflection of tripeptides decorated with fluorinated alkyl chains
JF  - Journal of Mass Spectrometry
KW  - interference
KW  - quantum
KW  - meteorology
Y1  - 
IS  - Vol 55, issue 6
ER  - 
TY  - JOUR
A1  - Fein, Yaakov
A1  - Shayeghi, Armin
A1  - Mairhofer, Lukas
A1  - Kialka, Filip
A1  - Rieser, Philipp
A1  - Geyer, Philipp
A1  - Gerlich, Stefan
A1  - Arndt, Markus
T1  - Quantum-Assisted Measurement of Atomic Diamagnetism
JF  - Physical Review
KW  - diamagnetism
KW  - quantum
KW  - meteorology
Y1  - 
IS  - Volume 10, Issue 1
ER  - 
TY  - JOUR
A1  - Hoffman, Michael E.
A1  - Kuba, Markus
A1  - Levy, Moti
A1  - Louchard, Guy
T1  - An Asymptotic Series for an Integral
JF  - Ramanujan Journal
KW  - asymtotic
KW  - integral
Y1  - 2020
ER  - 
TY  - JOUR
A1  - Hoffmann, Michael E.
A1  - Kuba, Markus
A1  - Levy, Moti
A1  - Louchard, Guy
T1  - An Asymptotic Series for an Integral
JF  - Ramanujan Journal
KW  - Asymptotic
KW  - Integral
Y1  - 
ER  - 
TY  - JOUR
A1  - Kuba, Markus
A1  - Panholzer, Alois
T1  - A Note on Harmonic number identities, Stirling series and multiple zeta values
JF  - International Journal of Number Theory
KW  - Multiple zeta values
KW  - Harmonic numbers
KW  - Arakawa–Kaneko zeta function
KW  - Stirling series
Y1  - 2020
VL  - 15
IS  - 07
SP  - 1323
EP  - 1348
ER  - 
TY  - JOUR
A1  - Mairhofer, Lukas
A1  - Eibenberger, Sandra
A1  - Shayeghi, Armin
A1  - Arndt, Markus
T1  - A quantum ruler for magnetic deflectometry
JF  - Entropy
KW  - Magnetic deflectometry
KW  - Matter-waves
KW  - Metrology
Y1  - 
VL  - 20
IS  - 7
CY  - Basel
ER  - 
TY  - JOUR
A1  - Kuba, Markus
A1  - Panholzer, Alois
T1  - Stirling permutations containing a single pattern of length three
JF  - The Australasian Journal of Combinatorics
KW  - Stirling permutations
Y1  - 2020
VL  - 74
IS  - 2
SP  - 216
EP  - 239
ER  - 
TY  - JOUR
A1  - Kuba, Markus
T1  - A Note on the generating function of p-Bernoulli numbers
JF  - Quaestiones Mathematicae
KW  - Mathematics
Y1  - 
ER  - 
TY  - JOUR
A1  - Teschl, Susanne
A1  - Unterkofler, Karl
A1  - Mochalski, Pawel
A1  - Teschl, Gerald
A1  - Ager, C.
A1  - Mayhew, C.A.
A1  - King, Julian
T1  - Modeling-based determination of physiological parameters of systemic VOCs by breath gas analysis, part 2.
JF  - Journal of Breath Research
KW  - Breath
KW  - Gas
KW  - Analysis
Y1  - 
VL  - 12
ER  - 
TY  - CHAP
A1  - Stockinger, Harald
T1  - Biographical information from monasterial archives: Ernst Mach's school year at the Gymnasium of the Benedictines in Seitenstetten
T2  - History of Mathematics and Teaching of Mathematics
KW  - Mathematics
KW  - Teaching
KW  - History
Y1  - 
ER  - 
TY  - GEN
A1  - Stockinger, Harald
T1  - Biographical information from monasterial archives: Ernst Mach's school year at the Gymnasium of the Benedictines in Seitenstetten
KW  - Mathematics
KW  - Teaching
KW  - History
Y1  - 
ER  - 
TY  - CHAP
A1  - Mairhofer, Lukas
A1  - Dippel, Anne
T1  - Traces and Patterns. Pictures of Interferences and Collisions in the Physics Lab
T2  - Traces. Generating What Was There
KW  - interferences
Y1  - 2021
ER  - 
TY  - CHAP
A1  - Mairhofer, Lukas
T1  - Observing the Unobservable: Quantum Interference of Complex Macromolecules
T2  - Interferences - Events
KW  - quantum
KW  - interference
Y1  - 2021
ER  - 
TY  - JOUR
A1  - Mairhofer, Lukas
A1  - Eibenberger, Sandra
A1  - Cotter, Joe
A1  - Romirer, Marion
A1  - Shayeghi, Armin
A1  - Arndt, Markus
T1  - Quantum-assisted metrology of neutral vitamins in the gas-phase
JF  - Angewandte Chemie International Edition
N2  - It has recently been shown that matter-wave interferometry can be used to imprint a periodic nanostructure onto a molecular beam, which provides a highly sensitive tool for beam displacement measurements. Herein, we used this feature to measure electronic properties of provitamin A, vitamin E, and vitamin K1 in the gas phase for the first time. The shift of the matter-wave fringes in a static electric field encodes the molecular susceptibility and the time-averaged dynamic electric dipole moment. The dependence of the fringe pattern on the intensity of the central light-wave diffraction grating was used to determine the molecular optical polarizability. Comparison of our experimental findings with molecular dynamics simulations and density functional theory provides a rich picture of the electronic structures and dynamics of these biomolecules in the gas phase with β-carotene as a particularly interesting example.
KW  - Deflectometry
KW  - Electronic structure
KW  - Interferometry
Y1  - 
ER  - 
TY  - JOUR
A1  - Geyer, Philipp
A1  - Sezer, Ugur
A1  - Rodewald, Jonas
A1  - Mairhofer, Lukas
A1  - Dörre, Nadine
A1  - Haslinger, Philipp
A1  - Eibenberger, Sandra
A1  - Brand, Christian
A1  - Arndt, Markus
T1  - Perspectives for Quantum Interference with Biomolecules and Biomolecular Clusters
JF  - Physica Scripta
KW  - Quanteninterferenz
KW  - Biomoleküle
Y1  - 
VL  - 91
IS  - 6
ER  - 
TY  - CHAP
A1  - Unterkofler, Karl
A1  - Teschl, Susanne
T1  - Reproducibility and verification od real time breath VOCs concentration data by modeling
T2  - Proceedings des Forschungsforum 2017 der österreichischen Fachhochschulen
KW  - Statistics
KW  - Modelling
Y1  - 2018
ER  - 
TY  - JOUR
A1  - Kuba, Markus
A1  - Sulzbach, Henning
T1  - On martingale tail sums in affine two-color urn models with multiple drawings
JF  - Journal of Applied Probability
KW  - Probability Calculation
Y1  - 2018
VL  - 54
IS  - 1
SP  - 96
EP  - 117
ER  - 
TY  - GEN
A1  - Unterkofler, Karl
A1  - Teschl, Susanne
T1  - Reproducibility and verification od real time breath VOCs concentration data by modeling
KW  - Statistics
KW  - Modelling
Y1  - 2018
ER  - 
TY  - JOUR
A1  - Cotter, Joe
A1  - Eibenberger, Sandra
A1  - Mairhofer, Lukas
A1  - Cheng, Xiaxi
A1  - Asenbaum, Peter
A1  - Arndt, Markus
A1  - Walter, Kai
A1  - Nimmrichter, Stefan
A1  - Hornberger, Klaus
T1  - Coherence in the presence of absorption and heating in a molecule interferometer
JF  - Nature Communications
KW  - Quantenphysik
KW  - Molekülinterferometer
Y1  - 
IS  - 6
ER  - 
TY  - CHAP
A1  - Kuba, Markus
A1  - Panholzer, Alois
T1  - Combinatorial analysis of growth models for series-parallel networks.
T2  - Proceedings of the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA) 2016
KW  - Mathematics
KW  - Growth Model
Y1  - 2018
ER  - 
TY  - GEN
A1  - Unterkofler, Karl
A1  - Teschl, Susanne
T1  - Modeling the dynamic of breath methane concentration profiles during exercise on an ergometer
KW  - Methane concentration
Y1  - 
ER  - 
TY  - GEN
A1  - Unterkofler, Karl
A1  - Teschl, Susanne
T1  - On the influence of inhaled volatile organic compounds (VOCs) on exhaled VOCs concentrations
KW  - Organic Compounds
Y1  - 2018
ER  - 
TY  - GEN
A1  - Kuba, Markus
A1  - Panholzer, Alois
T1  - Combinatorial analysis of growth models for series-parallel networks.
KW  - Mathematics
KW  - Combinatorics
Y1  - 2018
ER  - 
TY  - JOUR
A1  - Kuba, Markus
A1  - Panholzer, Alois
T1  - On moment sequences and mixed Poisson distributions.
JF  - Probability Surveys
KW  - Mathematics
KW  - Statistical Distributions
Y1  - 2018
ER  - 
TY  - GEN
A1  - Kuba, Markus
T1  - Limit laws for urn models with multiple drawings
KW  - Urn Models
Y1  - 
ER  - 
TY  - GEN
A1  - King, J.
A1  - Unterkofler, K.
A1  - Koc, H.
A1  - Teschl, S.
T1  - Mathematical modeling for breath gas analysis
KW  - Modeling
KW  - Breath
KW  - Gas
KW  - Analysis
Y1  - 
ER  - 
TY  - JOUR
A1  - Teschl, Susanne
A1  - Batzel, J.
A1  - Kappel, F.
T1  - Modeling the human cardiovascular-respiratory control system with two state delays: an application to congestive heart failure
JF  - Technical Report 191, Spezialforschungsbereich F-003 Bericht, Karl-Franzens-Universitat
KW  - Modeling
KW  - Cardiovascular
Y1  - 
ER  - 
TY  - JOUR
A1  - Teschl, Susanne
A1  - Batzel, J.
A1  - Kappel, F.
T1  - Modeling the human cardiovascular-respiratory control system: an optimal control application to the transition to non-REM sleep
JF  - Technical Report 190, Spezialforschungsbereich F-003, Karl-Franzens-Universität
KW  - Modeling
KW  - Cardiovascular
KW  - Sleep
Y1  - 
ER  - 
TY  - JOUR
A1  - Batzel, J.
A1  - Kappel, F.
A1  - Teschl, Susanne
T1  - A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans
JF  - Journal of Mathematical Biology
KW  - Modeling
Y1  - 
IS  - 50(3)
SP  - 293
EP  - 335
ER  - 
TY  - CHAP
A1  - Batzel, J.
A1  - Teschl, Susanne
A1  - Kappel, F.
T1  - Modeling congestive heart failure: a control system model with state delay
T2  - Proceedings of the 5th European Society of Mathematical and Theoretical Biology tri-annual Conference (ECMTB Conference): Mathematical Modelling & Computing in Biology and Medicine, Milano, Italy, July 2-6 2002.
KW  - Modeling
Y1  - 
ER  - 
TY  - JOUR
A1  - King, J.
A1  - Koc, H.
A1  - Unterkofler, K.
A1  - Mochalski, P.
A1  - Kupferthaler, A.
A1  - Teschl, G.
A1  - Teschl, S.
A1  - Hinterhuber, H.
A1  - Amann, Anton
T1  - Dynamic profiles of volatile organic compounds in exhaled breath as determined by a coupled PTR-MS/GC-MS study
JF  - Physiological Measurement
KW  - Breath
Y1  - 
VL  - Vol. 31
IS  - 9
ER  - 
TY  - JOUR
A1  - King, J.
A1  - Unterkofler, K.
A1  - Teschl, G.
A1  - Teschl, S.
A1  - Mochalski, P.
A1  - Hinterhuber, H.
A1  - Koc, H.
A1  - Amann, Anton
T1  - A modeling-based evaluation of isothermal rebreathing for breath gas analyses of highly soluble volatile organic compounds
JF  - Journal of Breath Research
KW  - Breath
Y1  - 
ER  - 
TY  - JOUR
A1  - King, J.
A1  - Unterkofler, K.
A1  - Teschl, G.
A1  - Teschl, S.
A1  - Koc, H.
A1  - Hinterhuber, H.
A1  - Amann, Anton
T1  - A mathematical model for breath gas analysis of volatile organic compounds with special emphasis on acetone
JF  - Journal of Mathematical Biology
KW  - Modeling
KW  - Breath
KW  - Gas
KW  - Analysis
Y1  - 
SP  - 959
EP  - 999
ER  -