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)
  • R. Basu, S. Detournay, M. Riegler, Spectral Flow in 3D Flat Spacetimes arXiv:1706.07438 [hep-th].
  • R. Emparan, A. Fernandez-Pique, R. Luna, Geometric polarization of plasmas and Love numbers of AdS black branes
    • , arXiv:1707.02777 [hep-th].
  • 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)
  • B. Araneda, Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes, arXiv:1711.09872 [gr-qc].
  • 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].
  • V. Branding, K. Kroencke, Global existence of wave maps and some generalizations on expanding spacetimes, arXiv:11709.06520 [math.DG].
  • O. Chodosh, C. Mantoulidis, Minimal surfaces and the Allen-Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates, arXiv:1803.02716 [math.DG].
  • P. T. Chrusciel, E. Delay, P. Klinger, On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics, arXiv:1710.07597 [gr-qc].
  • P. T. Chrusciel, P. Klinger, The annoying null boundaries, arXiv:1801.06037 [gr-qc].
  • P. T. Chrusciel, G. J. Galloway, E. Ling, Weakly trapped surfaces in asymptotically de Sitter spacetimes, arXiv:1803.02339 [gr-qc].
  • H. Friedrich, Peeling or not peeling -- is that the question ?, arXiv:1709.07709 [gr-qc].
  • 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].
  • 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].
  • J. L. Jauregui, Lower semicontinuity of the ADM mass in dimensions two through seven, arXiv:1804.04723 [math.DG].
  • M. Khuri, E. Woolgar, Nonexistence of extremal de Sitter black rings, arXiv:1708.03627 [hep-th].
  • M. Khuri, E. Woolgar, Nonexistence of degenerate horizons in static vacua and black hole uniqueness, arXiv:1710.09669 [gr-qc].
  • 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].
  • 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)
  • D. Bilyk, F. Dai, S. Steinerberger, General and Refined Montgomery Lemmata, arXiv:1801.07701 [math.CA].
  • S. Dahlke, C. Schneider, Besov Regularity of Parabolic and Hyperbolic PDEs, Bericht Mathematik Nr. 2017-03 des Fachbereichs Mathematik und Informatik, 2017
  • 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
  • E. Hausenblas, T. Randialasolo, M. Thalhammer, The stochastic Gray Scott model - existence and uniqueness and its numerical modelling, submitted.
  • A. Hinrichs, P. Kritzer, F. Pillichshammer, G.W. Wasilkowski, Truncation Dimension for Linear Problems on Multivariate Function Spaces, arXiv:1701.06778 [math.NA].
  • D. Krieg, D. Rudolf Recovery algorithms for high-dimensional rank one tensors, arXiv:1711.03986 [math.NA].
  • P. Kritzer, G. Leobacher, M. Szölgyenyi, S. Thonhauser, Approximation methods for piecewise deterministic Markov processes and their costs, arXiv:1712.09201 [math.PR].
  • R. Kritzinger, Finding exact formulas for the L2 discrepancy of digital (0,n,2)-nets via Haar functions, arXiv:1711.06058 [math.NT].
  • 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].
  • F. Pillichshammer, Tractability properties of the weighted star discrepancy of regular grids, arXiv:1710.00573 [math.NA].
  • 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
  • L. Spiegelhofer, Discrepancy results for the Van der Corput sequence, arXiv:1710.01560 [math.NT].
  • V. Temlyakov, Dispersion of the Fibonacci and the Frolov point sets, arXiv:1709.08158v2 [math.NA].
  • V. Temlyakov, Fixed volume discrepancy in the periodic case, arXiv:1710.11499v1 [math.NA].
  • M. Ullrich, A note on the dispersion of admissible lattices, arXiv:1710.08694 [cs.CG].
Algorithmic and Enumerative Combinatorics (KSB)
  • S. A. Abramov, M. Petkovsek, H. Zakrajsek, Convolutions of Liouvillian Sequences, arXiv:1803.08747 [cs.SC].
  • B. Adamczewski, T. Rivoal, Exceptional values of $E$-functions at algebraic points, arXiv:1708.00217 [math.NT].
  • R. M. Adin, S. Elizalde, Y. Roichman, Cyclic descents for near-hook and two-row shapes, arXiv:1801.00044 [math.CO].
  • M. A. Barkatou, M. Jaroschek, Desingularization of First Order Linear Difference Systems with Rational Function Coefficients, arXiv:1802.01150 [cs.SC].
  • D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, The free boundary Schur process and applications, arXiv:1704.05809 [math.PR].
  • P. Biane, M. Josuat-Vergès, Noncrossing partitions, Bruhat order and the cluster complex, arXiv:1801.06078 [math.CO].
  • A. R. Conway, Anthony J. Guttmann, P. Zinn-Justin, 1324-avoiding permutations revisited, arXiv:1709.01248 [math.CO].
  • P. Di Francesco, E. Guitter, Arctic curves for paths with arbitrary starting points: a tangent method approach, arXiv:1803.11463 [math-ph].
  • P. Di Francesco, M. F. Lapa, Arctic Curves in path models from the Tangent Method, arXiv:1711.03182 [math-ph].
  • T. Dreyfus, C. Hardouin, J. Roques, M. F. Singer, Walks in the quarter plane, genus zero case, arXiv:1710.02848 [math.CO].
  • A. Garsia, J. Haglund, J. B. Remmel, M. Yoo, A proof of the Delta Conjecture when $q=0$, arXiv:1710.07078 [math.CO].
  • M. Giesbrecht, J. Haraldson, G. Labahn, Computing Lower Rank Approximations of Matrix Polynomials, arXiv:1712.04007 [cs.SC].
  • J. S. Kim, M. Yoo, Hook length property of $d$-complete posets via $q$-integrals, arXiv:1708.09109 [math.CO].
  • C. Koutschan, T. Thanatipanonda, A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon, arXiv:1709.02616 [math.CO].
  • H. Mühle, P. Nadeau, A Poset Structure on the Alternating Group Generated by 3-Cycles, arXiv:1803.00540 [math.CO].
  • G. Musiker, T. Roby, Paths to Understanding Birational Rowmotion on Products of Two Chains, arXiv:1801.03877 [math.CO].
  • H. Naruse, S. Okada, Skew hook formula for d-complete posets, arXiv:1802.09748 [math.CO].
  • M. Petkovsek, Definite Sums as Solutions of Linear Recurrences With Polynomial Coefficients, arXiv:1804.02964 [cs.SC].

Workshops

Geometry and Representation Theory (MAB)
  • D. Adamovic, G. Radobolja, Self-dual and logarithmic representations of the twisted Heisenberg-Virasoro algebra at level zero, arXiv:1703.00531 [math.QA].
  • 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].
  • T. Arakawa, C. Jiang, Coset Vertex Operator Algebras and $W$-Algebras, arXiv:1701.06880 [math.RT].
  • T. Arakawa, C. H. Lam, H. Yamada, Parafermion vertex operator algebras and W-algebras, arXiv:1701.06229 [math.RT].
  • A. Javanpeykar, K. Langlois, R. Terpereau, Horospherical stacks, arXiv:1703.00488 [math.RT].
  • V. G. Kac, M. Wakimoto, Representations of superconformal algebras and mock theta functions, arXiv:1701.03344 [math.RT].
  • A. Moreau, A remark on Mishchenko-Fomenko algebras and regular sequences, arXiv:1703.00880 [math.RT].
  • D. Panyushev, O. Yakimova, On seaweed subalgebras and meander graphs in type D, arXiv:1702.07879 [math.RT].
  • N. Ressayre, On the tensor semigroup of affine Kac-Moody lie algebras, arXiv:1701.02176 [math.AG].
Geometric Transport Equations in General Relativity (JAF)
  • D. Fajman, J. Joudioux, J. Smulevici, The Stability of the Minkowski space for the Einstein-Vlasov system, arXiv:1707.06141 [gr-qc].
  • 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].
  • H. Lee, E. Nungesser, Late-time behaviour of the Einstein-Boltzmann system with a positive cosmological constant, arXiv:1709.05223 [gr-qc].
  • 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)
  • H. Baba, M. Katori, Excursion Processes Associated with Elliptic Combinatorics, arXiv:1711.00389v1 [math-ph].
  • G. Bhatnagar, M. J. Schlosser, Elliptic well-poised Bailey transforms and lemmas on root systems, arXiv:1704.00020 [math.CA].
  • M. Katori, Elliptic Determinantal Processes and Elliptic Dyson Models, arXiv:1703.03914v2 [math.PR].
  • A. P. Kels, M. Yamazaki, Elliptic hypergeometric sum/integral transformations and supersymmetric lens index, arXiv:1704.03159 [math-ph].
  • P. Jefferson, H.-C. Kim, C. Vafa, G. Zafir, Towards classification of 5d SCFTs: Single gauge node, arXiv:1704.00020 [math.CA].
  • N. Joshi, N. Nakazono, Elliptic Painlevé equations from next-nearest-neighbor translations on the $E_8^{(1)}$ lattice, arXiv:1703.03498 [math-ph].
  • 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)
  • 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].
  • 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.
  • A. Seigal, G. Montufar, Mixtures and Products in two Graphical Models, arXiv: 1709.05276 [stat.ML].
Nonlinear Water Waves - an Interdisciplinary Interface (WHP)
  • 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)
  • H. Bruin, D. Terhesiu, M. Todd, The pressure function for infinite equilibrium measure, arXiv:1711.05069 [math.DS].
  • H. Bruin, D. Terhesiu, M. Todd, Thermodynamic formalism and inducing for flows.... (working title), in progress.
  • H. Bruin, D. Terhesiu,, Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms, arXiv:1707.09221 [math.DS].
  • 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].
  • 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].
  • P. T. Chrusciel, Luc Nguyen, P. Tod, A. Vasy, Asymptotically flat Einstein-Maxwell fields are inheriting, arXiv:1802.09915 [math.AP].
  • 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].
  • 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].
  • L. Frechette, C. Dellago, P. L. Geissler, Superlattice phases in cation exchange nanocrystals, in preparation.
  • 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.
  • C. Moritz, M. Sega, P. L. Geissler, C. Dellago, Nucleation mechanisms from transition trajectories in periodic systems at coexistence, in preparation.
  • G. M. Rotskoff, P. L. Geissler, Robust nonequilibrium pathways to microcompartment assembly, arXiv:1709.00321 [cond-mat.soft].
  • 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].
  • 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)

  • T. Roubicek, U. Stefanelli, Finite thermoelastoplasticity and creep under small elastic strains, arXiv:1804.05742 [math.AP], Math. Mech. of Solids, in print.
  • 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.
  • 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

  • N. Carqueville, I. Runkel, G. Schaumann, Line and surface defects in Reshetikhin-Turaev TQFT, arXiv:1710.10214 [math.QA].
  • 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
  • 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.
  • 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 PoincarĂ© Comb. Phys. Interact. 4 (2017), 479-539. https://doi.org/10.4171/AIHPD/46, DOI: 10.4171/AIHPD/46, ATV.
  • J. Brauchart, P. Grabner, W. Kusner, Hyperuniform point sets on the sphere: deterministic constructions, arXiv:1709.02613 [math.CA], BGS.
  • 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.
  • F. Fleißner, Minimal solutions to generalized Lambda-semiflows and gradient flows in metric spaces, arXiv:1711.07242 [math.AP], FMS.
  • F. Fleißner, G. Savaré, Reverse approximation of gradient flows as Minimizing Movements: a conjecture by De Giorgi, arXiv:1711.07256 [math.CA], FMS.
  • 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.
  • T. Kano, Tunamis on a deep open sea and on a gentle sloping beach, in preparation, SLE.
  • J. Wildeshaus, On the intersection motive of certain Shimura varieties: the case of Siegel threefolds, arXiv:1706.02743 [math.AG], GNV.
  • 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.