Scientific Publications: 2017
The following codes indicate the association of publications and preprints with specific ESI activities:
- ABR = Quantum Physics and Gravity
- CBS = Geometry and Relativity
- DF = Systematic Approaches to Deep Learning Methods for Audio
- JAF = Geometric Transport Equations in General Relativity
- JRF = Junior Research Fellow
- KSB = Algorithmic and Enumerative Combinatorics
- MAB = Geometry and Representation Theory
- PDG = Tractability of High Dimensional Problems and Discrepancy
- RIT = Research in Teams
- SKN = Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics
- SRF = Senior Research Fellows
- WHP = Nonlinear Water Waves - an Interdisciplinary Interface
Thematic Programmes
Quantum Physics and Gravity (ABR)
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R. Basu, S. Detournay, M. Riegler,
Spectral Flow in 3D Flat Spacetimes arXiv:1706.07438 [hep-th].
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R. Emparan, A. Fernandez-Pique, R. Luna,
Geometric polarization of plasmas and Love numbers of AdS black branes
,
arXiv:1707.02777 [hep-th].
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O. Fuentealba, J. Matulich, R. Troncoso,
Asymptotic structure of $N=2$ supergravity in 3D: extended super-$BMS_3$ and nonlinear energy bounds,
arXiv:1706.07542 [hep-th].
Geometry and Relativity (CBS)
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B. Araneda,
Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes,
arXiv:1711.09872 [gr-qc].
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A. Ashtekar, B. Bonga,
On a basic conceptual confusion in gravitational radiation theory,
arXiv:1707.07729 [gr-qc].
-
A. Ashtekar, B. Bonga,
On the ambiguity in the notion of transverse traceless modes of gravitational waves,
arXiv:1707.09914 [gr-qc].
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V. Branding, K. Kroencke,
Global existence of wave maps and some generalizations on expanding spacetimes,
arXiv:11709.06520 [math.DG].
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O. Chodosh, C. Mantoulidis,
Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates,
arXiv:1803.02716 [math.DG].
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P. T. Chrusciel, E. Delay, P. Klinger,
On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics,
arXiv:1710.07597 [gr-qc].
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P. T. Chrusciel, P. Klinger,
The annoying null boundaries,
arXiv:1801.06037 [gr-qc].
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P. T. Chrusciel, G. J. Galloway, E. Ling,
Weakly trapped surfaces in asymptotically de Sitter spacetimes,
arXiv:1803.02339 [gr-qc].
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H. Friedrich,
Peeling or not peeling -- is that the question ?,
arXiv:1709.07709 [gr-qc].
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M. Graf, J. D. E. Grant, M. Kunzinger, R. Steinbauer,
The Hawking-Penrose singularity theorem for $C^{1,1}$-Lorentzian metrics,
arXiv:1706.08426 [math-ph].
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S. Hadar, H. S. Reall,
Is there a breakdown of effective field theory at the horizon of an extremal black hole?,
arXiv:1709.09668 [hep-th].
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J. L. Jauregui,
Lower semicontinuity of the ADM mass in dimensions two through seven,
arXiv:1804.04723 [math.DG].
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M. Khuri, E. Woolgar,
Nonexistence of extremal de Sitter black rings,
arXiv:1708.03627 [hep-th].
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M. Khuri, E. Woolgar,
Nonexistence of degenerate horizons in static vacua and black hole uniqueness,
arXiv:1710.09669 [gr-qc].
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M. Khuri, G. Weinstein, S. Yamada,
Stationary vacuum black holes in 5 dimensions,
arXiv:1711.05229 [gr-qc].
-
T. Makino,
On slowly rotating axisymmetric solutions of the Einstein-Euler equations,
arXiv:1705.07392 [math.AP].
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L. B. Szabados,
On gravity's role in the genesis of rest masses of classical fields,
arXiv:1802.04401 [gr-qc].
Tractability of High Dimensional Problems and Discrepancy (PDG)
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D. Bilyk, F. Dai, S. Steinerberger,
General and Refined Montgomery Lemmata,
arXiv:1801.07701 [math.CA].
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S. Dahlke, C. Schneider,
Besov Regularity of Parabolic and Hyperbolic PDEs,
Bericht Mathematik Nr. 2017-03 des Fachbereichs Mathematik und Informatik, 2017
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M. Ddamulira, C. A. Gomez, F. Luca,
On a problem of Pillai with k-generalised Fibonacci numbers and powers of 2,
https://doi.org/10.1007/s00605-018-1155-1, DOI: 10.1007/s00605-018-1155-1
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E. Hausenblas, T. Randialasolo, M. Thalhammer, The stochastic Gray Scott model - existence and uniqueness and its numerical modelling, submitted.
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A. Hinrichs, P. Kritzer, F. Pillichshammer, G.W. Wasilkowski,
Truncation Dimension for Linear Problems on Multivariate Function Spaces,
arXiv:1701.06778 [math.NA].
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D. Krieg, D. Rudolf
Recovery algorithms for high-dimensional rank one tensors,
arXiv:1711.03986 [math.NA].
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P. Kritzer, G. Leobacher, M. Szölgyenyi, S. Thonhauser,
Approximation methods for piecewise deterministic Markov processes and their costs,
arXiv:1712.09201 [math.PR].
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R. Kritzinger,
Finding exact formulas for the L2 discrepancy of digital (0,n,2)-nets via Haar functions,
arXiv:1711.06058 [math.NT].
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A. Neuenkirch, M. Szölgyenyi, L. Szpruch,
An adaptive Euler-Maruyama scheme for stochastic differential equations with discontinuous drift and its convergence analysis,
arXiv:1802.04521 [math.NA].
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F. Pillichshammer,
Tractability properties of the weighted star discrepancy of regular grids,
arXiv:1710.00573 [math.NA].
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I.H. Sloan, H. Wozniakowski,
Multivariate approximation for analytic functions with Gaussian kernels, J. Complexity, to appear,
https://doi.org/10.1016/j.jco.2017.11.001, DOI: 10.1016/j.jco.2017.11.001
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L. Spiegelhofer,
Discrepancy results for the Van der Corput sequence,
arXiv:1710.01560 [math.NT].
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V. Temlyakov,
Dispersion of the Fibonacci and the Frolov point sets,
arXiv:1709.08158v2 [math.NA].
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V. Temlyakov,
Fixed volume discrepancy in the periodic case,
arXiv:1710.11499v1 [math.NA].
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M. Ullrich, A note on the dispersion of admissible lattices, arXiv:1710.08694 [cs.CG].
Algorithmic and Enumerative Combinatorics (KSB)
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S. A. Abramov, M. Petkovsek, H. Zakrajsek,
Convolutions of Liouvillian Sequences,
arXiv:1803.08747 [cs.SC].
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B. Adamczewski, T. Rivoal,
Exceptional values of $E$-functions at algebraic points,
arXiv:1708.00217 [math.NT].
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R. M. Adin, S. Elizalde, Y. Roichman,
Cyclic descents for near-hook and two-row shapes,
arXiv:1801.00044 [math.CO].
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M. A. Barkatou, M. Jaroschek,
Desingularization of First Order Linear Difference Systems with Rational Function Coefficients,
arXiv:1802.01150 [cs.SC].
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D. Betea, J. Bouttier, P. Nejjar, M. Vuletic,
The free boundary Schur process and applications,
arXiv:1704.05809 [math.PR].
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P. Biane, M. Josuat-Vergès,
Noncrossing partitions, Bruhat order and the cluster complex,
arXiv:1801.06078 [math.CO].
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A. R. Conway, Anthony J. Guttmann, P. Zinn-Justin,
1324-avoiding permutations revisited,
arXiv:1709.01248 [math.CO].
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P. Di Francesco, E. Guitter,
Arctic curves for paths with arbitrary starting points: a tangent method approach,
arXiv:1803.11463 [math-ph].
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P. Di Francesco, M. F. Lapa,
Arctic Curves in path models from the Tangent Method,
arXiv:1711.03182 [math-ph].
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T. Dreyfus, C. Hardouin, J. Roques, M. F. Singer,
Walks in the quarter plane, genus zero case,
arXiv:1710.02848 [math.CO].
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A. Garsia, J. Haglund, J. B. Remmel, M. Yoo,
A proof of the Delta Conjecture when $q=0$,
arXiv:1710.07078 [math.CO].
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M. Giesbrecht, J. Haraldson, G. Labahn,
Computing Lower Rank Approximations of Matrix Polynomials,
arXiv:1712.04007 [cs.SC].
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J. S. Kim, M. Yoo,
Hook length property of $d$-complete posets via $q$-integrals,
arXiv:1708.09109 [math.CO].
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C. Koutschan, T. Thanatipanonda,
A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon,
arXiv:1709.02616 [math.CO].
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H. Mühle, P. Nadeau,
A Poset Structure on the Alternating Group Generated by 3-Cycles,
arXiv:1803.00540 [math.CO].
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G. Musiker, T. Roby,
Paths to Understanding Birational Rowmotion on Products of Two Chains,
arXiv:1801.03877 [math.CO].
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H. Naruse, S. Okada,
Skew hook formula for d-complete posets,
arXiv:1802.09748 [math.CO].
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M. Petkovsek,
Definite Sums as Solutions of Linear Recurrences With Polynomial Coefficients,
arXiv:1804.02964 [cs.SC].
Workshops
Geometry and Representation Theory (MAB)
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D. Adamovic, G. Radobolja,
Self-dual and logarithmic representations of the twisted Heisenberg-Virasoro algebra at level zero,
arXiv:1703.00531 [math.QA].
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D. Adamovic, V. G. Kac, P. Moseneder Frajria, P. Papi, O. Perse,
On classification of non-equal rank affine conformal embeddings and applications,
arXiv:1702.06089 [math.RT].
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T. Arakawa, C. Jiang,
Coset Vertex Operator Algebras and $W$-Algebras,
arXiv:1701.06880 [math.RT].
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T. Arakawa, C. H. Lam, H. Yamada,
Parafermion vertex operator algebras and W-algebras,
arXiv:1701.06229 [math.RT].
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A. Javanpeykar, K. Langlois, R. Terpereau,
Horospherical stacks,
arXiv:1703.00488 [math.RT].
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V. G. Kac, M. Wakimoto,
Representations of superconformal algebras and mock theta functions,
arXiv:1701.03344 [math.RT].
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A. Moreau,
A remark on Mishchenko-Fomenko algebras and regular sequences,
arXiv:1703.00880 [math.RT].
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D. Panyushev, O. Yakimova,
On seaweed subalgebras and meander graphs in type D,
arXiv:1702.07879 [math.RT].
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N. Ressayre,
On the tensor semigroup of affine Kac-Moody lie algebras,
arXiv:1701.02176 [math.AG].
Geometric Transport Equations in General Relativity (JAF)
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D. Fajman, J. Joudioux, J. Smulevici,
The Stability of the Minkowski space for the Einstein-Vlasov system,
arXiv:1707.06141 [gr-qc].
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D. Fajman, J. Joudioux, J. Smulevici,
Sharp asymptotics for small data solutions of the Vlasov-Nordström system in three dimensions,
arXiv: 1704.05353 [math.AP].
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H. Lee, E. Nungesser,
Late-time behaviour of the Einstein-Boltzmann system with a positive cosmological constant,
arXiv:1709.05223 [gr-qc].
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H. Ringström,
Linear systems of wave equations on cosmological backgrounds with convergent asymptotics,
arXiv:1707.02803 [gr-qc].
Elliptic Hypergeometric Functions in Combinatorics, Integrable Systems and Physics (SKN)
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H. Baba, M. Katori,
Excursion Processes Associated with Elliptic Combinatorics,
arXiv:1711.00389v1 [math-ph].
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G. Bhatnagar, M. J. Schlosser,
Elliptic well-poised Bailey transforms and lemmas on root systems,
arXiv:1704.00020 [math.CA].
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M. Katori,
Elliptic Determinantal Processes and Elliptic Dyson Models,
arXiv:1703.03914v2 [math.PR].
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A. P. Kels, M. Yamazaki,
Elliptic hypergeometric sum/integral transformations and supersymmetric lens index,
arXiv:1704.03159 [math-ph].
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P. Jefferson, H.-C. Kim, C. Vafa, G. Zafir,
Towards classification of 5d SCFTs: Single gauge node,
arXiv:1704.00020 [math.CA].
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N. Joshi, N. Nakazono,
Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice,
arXiv:1703.03498 [math-ph].
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A. Zabrodin, A. Zotov,
Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian,
arXiv:1711.01036 [math-ph].
Systematic Approaches to Deep Learning Methods for Audio (DF)
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M. Dörfler, T. Grill, R. Bammer, A. Flexer,
Basic Filters for Convolutional Neural Networks Applied to Music: Training or Design?,
arXiv: 11709.02291 [cs.LG].
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P. Harar, Z. Galaz, J. B. Alonso-Hernandez, J. Mekyska, R. Burget, Z. Smekal,
Towards Robust Voice Pathology Detection, Neural Comput & Applic (2018),
https://doi.org/10.1007/s00521-018-3464-7.
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A. Seigal, G. Montufar,
Mixtures and Products in two Graphical Models,
arXiv: 1709.05276 [stat.ML].
Nonlinear Water Waves - an Interdisciplinary Interface (WHP)
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K. R. Khusnutdinova, Y. A. Stepanyants, M. R. Tranter,
Soliton solutions to the fifth-order Korteweg-de Vries equation and their applications to surface and internal water waves,
arXiv: 1801.09035 [physics.flu-dyn].
See also: Physics of Fluids, 30, 022104 (2018),
https://doi.org/10.1063/1.5009965, DOI: doi.org/10.1063/1.5009965.
Research in Teams Programme (RIT)
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H. Bruin, D. Terhesiu, M. Todd,
The pressure function for infinite equilibrium measure,
arXiv:1711.05069 [math.DS].
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H. Bruin, D. Terhesiu, M. Todd,
Thermodynamic formalism and inducing for flows.... (working title),
in progress.
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H. Bruin, D. Terhesiu,,
Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms,
arXiv:1707.09221 [math.DS].
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P. T. Chrusciel, G. J. Galloway, L. Nguyen, T.-T. Paetz
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds,
arXiv:1801.03442 [gr-qc].
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P. T. Chrusciel, E. Delay, P. Klinger, A. Kriegl, P. W. Michor, A. Rainer,
Non-singular spacetimes with a negative cosmological constant: V. Boson stars,
arXiv:1708.02878 [gr-qc].
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P. T. Chrusciel, Luc Nguyen, P. Tod, A. Vasy,
Asymptotically flat Einstein-Maxwell fields are inheriting,
arXiv:1802.09915 [math.AP].
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A. Compelli, R. Ivanov, M. Todorov,
Hamiltonian models for the propagation of irrotational surface gravity waves over a variable bottom, accepted in Philosophical Transactions of the Royal Society A.,
http://rsta.royalsocietypublishing.org/content/376/2111/20170091, DOI 10.1098/rsta.2017.0091,
arXiv:1708.06791 [physics.u-dyn].
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A. Compelli,
Solitary wave solution of Flat Surface Internal Geophysical Waves with Vorticity, submitted for publication to the American Institute of Physics (AIP)
arXiv:1708.06653 [physics.u-dyn].
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L. Frechette, C. Dellago, P. L. Geissler, Superlattice phases in cation exchange nanocrystals, in preparation.
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C. I. Martin,
On periodic geophysical water ows with discontinuous vorticity in the equatorial f-plane approximation
accepted in Philosophical Transactions of the Royal Society A.,
http://rsta.royalsocietypublishing.org/content/376/2111/20170096,DOI: 10.1098/rsta.2017.0096.
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C. Moritz, M. Sega, P. L. Geissler, C. Dellago,
Nucleation mechanisms from transition trajectories in periodic systems at coexistence, in preparation.
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G. M. Rotskoff, P. L. Geissler,
Robust nonequilibrium pathways to microcompartment assembly,
arXiv:1709.00321 [cond-mat.soft].
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M.-C. Roehsner, J. A. Kettlewell, T. B. Batalhao, J. F. Fitzsimons, P. Walther,
Quantum advantage for probabilistic one-time programs, arXiv:1709.09724 [quant-ph].
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J. Zeuner, Ioannis Pitsios, S.-H. Tan, A. N. Sharma, J. F. Fitzsimons, R. Osellame, P. Walther
paper under review
Senior Research Fellows Programme (SRF)
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T. Roubicek, U. Stefanelli,
Finite thermoelastoplasticity and creep under small elastic strains,
arXiv:1804.05742 [math.AP], Math. Mech. of Solids, in print.
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T. Roubicek,
Seismic waves and earthquakes in a global monolithic model,
arXiv:1703.06267 [math-ph], Cont. Mech. Thermodynam., printed on-line: DOI 10.1007/s00161-018-0636-8.
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M.Kruzik, T.Roubicek: Mathematical Methods in Continuum Mechanics of Solids. Interaction of Mech. and Math. Series, Springer Verlag, Switzerland, to appear 2018.
Simons Junior Professor Nils Carqueville
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N. Carqueville, I. Runkel, G. Schaumann,
Line and surface defects in Reshetikhin-Turaev TQFT,
arXiv:1710.10214 [math.QA].
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N. Carqueville, I. Runkel, G. Schaumann,
Orbifolds of $n$-dimensional defect TQFTs,
arXiv:1705.06085 [math.QA] .
-
N. Carqueville, I. Runkel,
Introductory lectures on topological quantum field theory,
with I. Runkel,
arXiv:1705.05734 [math.QA].
Junior Research Fellows Programme (JRF)
ESI research in previous years: additional publications and arXiv preprints
The following papers and publications complement the ESI preprints already taken into account in the previous years.
- AGS = Measured Group Theory, 2016
- ASA = Synergies Maths/Computational QMBP, 2016
- ATV = Combinatorics, Geometry, and Physics, 2014
- BGS = Minimal Energy Point Sets, 2014
- FMS = Nonlinear Flows, 2016
- GNV = The Interrelation between Mathematical Physics, Number Theory and Noncommutative Geometry
- KRS = Arithmetic Geometry and Automorphic Representations
- SLE = Qualitative and numerical aspects of water waves and other interface problems, 2011
- TSB = Normal Numbers: Arithmetic, Computational and Probabilistic Aspects, 2016
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C. Aistleitner, V. Becher, A.-M. Scheerer, T. A. Slaman,
On the construction of absolutely normal numbers,
arXiv:1707.02628 [math.NT].
See also: Acta Arithmetica 180 (4), 333-346, 2017, TSB.
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C. Boutillier, J. Boutillier, G. Chapuy, S. Corteel, S. Ramassamy,
Dimers on rail yard graphs,
arXiv:1504.05176 [math-ph].
See also: Ann. Inst. Henri Poincaré Comb. Phys. Interact. 4 (2017), 479-539.
https://doi.org/10.4171/AIHPD/46, DOI: 10.4171/AIHPD/46, ATV.
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J. Brauchart, P. Grabner, W. Kusner,
Hyperuniform point sets on the sphere: deterministic constructions,
arXiv:1709.02613 [math.CA], BGS.
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N. Defenu, A. Trombettoni, I. Nandori, T. Enss,
Nonperturbative renormalization group treatment of amplitude fluctuations for $|\phi^4|$ topological phase transitions,
arXiv:1706.00618 [cond-mat.quant-gas], ASA.
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F. Fleißner,
Minimal solutions to generalized Lambda-semiflows and gradient flows in metric spaces,
arXiv:1711.07242 [math.AP], FMS.
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F. Fleißner, G. Savaré,
Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi,
arXiv:1711.07256 [math.CA], FMS.
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Y. Petridis, N. Laaksonen,
On the value distribution of two L-functions,
Funct. Approx. Comment. Math., 58, Number 1 (2018), 43 - 68
https://doi.org/doi:10.7169/facm/1640, DOI: doi:10.7169/facm/1640, KRS.
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T. Kano,
Tunamis on a deep open sea and on a gentle sloping beach, in preparation, SLE.
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J. Wildeshaus,
On the intersection motive of certain Shimura varieties: the case of Siegel threefolds,
arXiv:1706.02743 [math.AG], GNV.
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J.S. Wilson,
Metric ultraproducts of classical groups,
Arch. Math. (2017) 109: 407.
https://doi.org/10.1007/s00013-017-1087-3, DOI: 10.1007/s00013-017-1087-3, AGS.