Scientific Publications: 2022

THEMATIC PROGRAMMES

Mathematical Perspectives of Gravitation beyond the Vacuum Regime (FAO)

M. Kunze, A Birman-Schwinger principle in galactic dynamics, arXiv:103087 [math-ph].

S. Günther, G. Rein, C. Straub, A Birman-Schwinger Principle in General Relativity: Linearly Stable Shells of Collisionless Matter Surrounding a Black Hole, arXiv:2204.10620 [math-AP].

Computational Uncertainty Quantification: Mathematical Foundations, Methodology & Data (HSW)

L. Herrmann and Ch. Schwab, J. Zech, Neural and gpc operator surrogates: construction and expression rate bounds, Report number 2022-27, Seminar for Applied Mathematics, ETH Zürich.

T. Cui, S. Dolgov, R. Scheichl, Deep importance sampling using tensor-trains with application to a priori and a posteriori rare event estimation, arXiv:2209.01941 [stat.ML].

D. Elfverson, R. Scheichl, S. Weissmann, F.A. DiazDelaO, Adaptive multilevel subset simulation with selective refinement for rare event probabilities, arXiv:2208.05392 [math.NA].

P.B. Rohrbach, H. Kobayashi, R. Scheichl, N.B. Wilding, R.L. Jack, Multilevel simulation of hard-sphere mixtures, arXiv:2206.00974 [cond-mat.stat-mech].

Higher Structures and Field Theory (AFZ)

B. Janssens, L. Ryvkin, C. Vizman, The L-algebra of a symplectic manifold, arXiv:2012.03836 [math.SG].

A. Hancharuk, T. Strobl, BFV extensions for mechanical systems with Lie-2 symmetry, arXiv:2104.12257 [hep-th].

H. Nahari, T. Strobl, Singular Riemannian foliations and I-Poisson manifolds, ArXiv: 2210.17306 [math.DG].

N. Ikeda, T. Strobl, BV and BFV for the H-twisted Poisson sigma model, ArXiv: 1912.13511 [hep-th].

Tensor Networks: Mathematical Structures and Novel Algorithms (VPS)

M. V. Damme, J.-Y. Desaules, Z. Papić, J. C. Halimeh, The Anatomy of Dynamical Quantum Phase Transitions, arXiv:2210.02453 [quant-ph].

S. Bollmann, A. Osterkorn, E. J. König, S.R. Manmana, Lifshitz transition in the phase diagram of two-leg t-J ladder systems at low filling, arXiv:2211.13065 [cond-mat.str-el].

J. Fuchs, C. Schweigert, Y. Yang, String-net models for pivotal bicategories, arXiv:2302.01468 [math.QA].

M. Ljubotina, J.-Y. Desaules, M. Serbyn, Z. Papić, The Anatomy of Dynamical Quantum Phase Transitions, arXiv:2210.01146 [cond-mat.stat-mech].

P. Brighi, M. Ljubotina, M. Serbyn, Hilbert space fragmentation and slow dynamics in particle-conserving East model arXiv:2210.15607 [quant-ph].

M. Ljubotina, J.-Y. Desaules, M. Serbyn, Zl. Papić, Superdiffusive Energy Transport in Kinetically Constrained Models, arXiv:2210.01146 [cond-mat.stat-mech].

A. Lucia, A. Young, A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs, arXiv:2212.11872 [math-ph].

B. Nachtergaele, R. Sims, A. Young Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems, arXiv:2102.07209 [math-ph].

Y. Zhang, A. Hulsch, H.-C .Zhang, W. Tang, L. Wang, H.-H. Tu, Universal scaling of Klein bottle entropy near conformal critical points, rXiv:2211.09745 [cond-mat.str-el].

Large Deviations, Extremes and Anomalous Transport in Non-equilibrium Systems (DPS)

A. Das, M. Barma, Fluctuation dominated phase ordering in coarse-grained depth models: Domain wall structures, extreme values and coarsening, arXiv:2212.07471 [cond-mat.stat-mech].

WORKSHOPS

Optimal Point Configurations on Manifolds (GBC)

J. Luong, K. Tran, Zeros of a table of polynomials satisfying a four-term contiguous relation, Zeitschrift für Analysis und ihre Anwendungen. arXiv:2008.08707 [math.CV]. see also https://doi.org/10.1016/j.euromechflu.2020.07.001.

Set-Theory (FMF)

L. Halbeisen, R. Plati, S. Schuhmacher, S. Shelah, Vive la Différence!, arXiv:2109.11315v1 [math.LO].

B. De Bondt, B. Velickovic, Increasing the second uniform indiscernible by strongly ssp forcing,
arXiv:2212.13797 [math.LO].

J. A. Cruz-Chapital, V. Fischer, O. Guzman, J. Supina, Partition forcing and maximal independent families, Journal of Symbolic Logic, doi:10.1017/jsl.2002.68, 2022.

S. Bardyla, J. Cancino, V. Fisher, C. Switzer, Filters, ideal independence and ideal Mrowka spaces, arXiv:2304.04651 [math.LO].

V. Fischer, M. Koelbing, W. Wohofsky, Games on base matrices, arXiv:2203.02581 [math.LO].

V. Fischer, M. Koelbing, W. Wohofsky, Fresh function spectra, Annals of Pure and Applied Logic, 2023, Volume 174, Issue 9.

V. Fischer, C. Switzer, Cohen preservation and independence, arXiv:2208.09854 [math.LO].

J. M. Kuiper, O. Spinas, Mycielski Ideals and Uniform Trees, Christian-Alberecht-U zu Kiel.

S. Mejak, D. Schrittesser, Maximal independence and singulars, arXiv:2212.05318 [math.GR].

D. C. Montoya, Mycielski Ideals and Uniform Trees, U Vienna.

Minimal Representations and Theta Correspondence (WMH)

B. Mesland, M. H. Sengun, Equal rank local theta correspondence as a strong Morita equivalence, arXiv:2207.13484 [math.RT].

W.T. Gan, B.H. Gross and D. Prasad, Twisted GGP problems and conjectures, arXiv:2204.10108 [math.RT].

Spectral Theory of Differential Operators in Quantum Theory (BGL)

J. Behrndt, F. Gesztesy, P. Schmitz, and C. Trunk, Lower bounds for self-adjoint Sturm–Liouville operators, arXiv:2212.09837 [math.SP].

B. Benhellal, K. Pankrashkin, Curvature contribution to the essential spectrum of Dirac operators with critical shell interactions, arXiv:2211.10264 [math.SP]

V. Franceschi, K. Naderi, K. Pankrashkin, Embedded trace operator for infinite metric trees, arXiv:2303.04527 [math-ph]

K. M. Schmidt and T. Umeda, Continuum limits for discrete Dirac operators on 2D square lattices, arXiv:2109.04052 [math-ph].

M. Waurick, Homogenisation of Laminated Metamaterials and the Inner Spectrum, arXiv:2210.04650 [math.AP]

SENIOR RESEARCH FELLOWS PROGRAMME (SRF)

R. Badal, M. Friedrich, M. Kružı́k, Nonlinear and linearized models in thermoviscoelasticity, https://doi.org/10.48550/arXiv.2203.02375.

K. Brazda, M. Kružı́k, U. Stefanelli, Generalized minimizing movements for the varifold Canham-Helfrich flow, https://doi.org/10.48550/arXiv.2207.03426.

P. Dondl, M. Jesenko, M. Kružı́k, J. Valdman, Linearization and computation for large-strain visco-elasticity, Math. Engrg. 5 (2022), 1–15, DOI:10.3934/mine.2023030.

D. Drozdenko, M. Knapek, M. Kružı́k, K. Máthis, K. Švadlenka, J. Valdman, Elastoplastic deformations of layered structures, https://doi.org/10.48550/arXiv.2207.01986.

S. A. Egorov, R. Stano, and C. N. Likos, Bulk phase behaviour of binary mixtures of poly[n]catenates and linear polymers: a Density Functional Theory Study, manuscript in preparation.

E. Moghimi, I. Chubak, M. Kaliva, P. Kiany, S. A. Egorov, D. Vlassopulos, and C. N. Likos Bulk phase behaviour of poly[n]catenates and linear polymers: a Density Functional Theory study, manuscript in preparation.

JUNIOR RESEARCH FELLOWS PROGRAMME (JRF)

S. Eckstein, G. Pammer, Computational methods for adapted optimal transport,
arXiv:2203.05005[math.PR].

L. Del Re, A. Toschi, The dynamical vertex approximation for many-electron systems with spontaneously broken SU(2)-symmetry, arXiv:2011.04080[cond-mat.str-el].

M. Reitner, P. Chalupa, L. Del Re, D. Springer, S. Ciuchi, G. Sangiovanni, A. Toschi, Attractive effect of a strong electronic repulsion: The physics of vertex divergences, arXiv:2002.12869[cond-mat.str-el].

L. Del Re, Brian Rost, A. F. Kemper, J. K. Freericks, Driven-dissipative quantum mechanics on a lattice: Simulating a fermionic reser-voir on a quantum computer, Phys. Rev. B, 102:125112, Sep 2020.

J. Alcock-Zeilinger, S. Keppeler, S. Plätzer, M. Sjodahl, Wigner 6j symbols for SU(N): Symbols with at least two quark-lines, arXiv:2209.15013[hep-ph].

A.Hancharuk, T. Strobl, BFV extensions for mechanical systems with Lie-2 symmetry,
arXiv:2104.12257[hep-th].

A. Banerjee, S. Dutta, S. Mondal, Carroll fermions in two dimensions, arXiv:2212.11002[hep-th].

S. Dutta Stress tensors of 3d Carroll CFTs arXiv:2212.11002 [hep-th].

B. Bošnjak, Composition series and unitary subquotients of representations induced from essentially Speh and cuspidal representations, accepted for publication in Journal of Lie Theory, p.38 (2022).

B. Bošnjak, I. Matić Discrete series and the essentially Speh representations, accepted for publication in Journal of Algebra, p.21 (2022).

RESEARCH IN TEAMS (RIT)

N.D. Deger, H. Samtleben, A note on the third way consistent deformation of Yang-Mills theory, arXiv:2205.15578 [hep-th].

A. Bagchi, S. Chakrabortty, D. Grumiller, B. Radhakrishnan, M. Riegler and A. Sinha, Non-Lorentzian chaos and cosmological holography, arXiv:2106.07649 [hep-th].

A. Bagchi, D. Grumiller, and M.M. Sheikh-Jabbari, Horizon Strings as 3d Blackhole Microstates, arXiv:2210.10794 [hep-th].

A. Bagchi, R. Chatterjee, R. Kaushik, S. Pal, M. Riegler and D. Sarkar, BMS Field Theories with u(1) Symmetry, arXiv:2209.06832 [hep-th].

N.S. Deger, M. Geiller, J. Rosseel, H. Samtleben, Minimal Massive Supergravity, arXiv:2206.00675 [hep-th].

N.S. Deger, M. Geiller, J. Rosseel, H. Samtleben, Minimal Massive Supergravity and New Theories of Massive Gravity, arXiv:2312.12387 [hep-th].

W.T. Gan, G. Savin The local Langlands conjecture for G2, arXiv:2209.07346 [math.NT].

D. Ionescu-Krusea, R. Ivanovc,, Nonlinear two-dimensional water waves with arbitrary vorticity, https://doi.org/10.1016/j.jde.2023.05.047.

N. Matringe, Local distinction, quadratic base change and automorphic induction for (GLn, J. Théor. Nombres Bordeaux 34 (2022), no. 3, 903-916.

N. Matringe, J. Trias, Whittaker functionals and contragredient in characteristic not p, to appear in Math. Res. Let.
https://www.intlpress.com/site/pub/pages/journals/items/mrl/_home/accepted
papers/index.php
, arXiv:2209.15353 [math.RT].

A. Mínguez, V. Sécherre, Local transfer for quasi-split classical groups and congruences mod , arXiv:2302.04532 [math.RT]

A. Pollack, Exceptional theta functions, arXiv:2211.05280 [math.NT].

UKRAINIAN RESEARCH FELLOWS PROGRAMME (URF)

I.I. Kyrchei, Quaternion MPCEP, CEPMP, and MPCEPMP generalized inverses. In: Matrix Theory - Classics and Advances, IntechOpen, London (2022). https://doi.org/10.52305/MJVE4994.

I.I. Kyrchei, D. Mosić, P.S. Stanimirović, Quaternion two-sided matrix equations with specific constraints. Coming soon in: M.S. Moslehian (Ed.), Matrix and Operator Equations and Applications, Springer.

V.M. Simulik, I.I. Vyikon, On the choice of relativistic wave equation for the particle having spin s = 3/2, J. Phys. Comm. 2022, Vol. 6, is. 7, p. 075008(1–7).

V. Simulik, I. Vyikon, On the “old” and “new” relativistic wave equations for the particle having spin s=3/2, arXiv:2204.05167v2 [hep-th] 23 May 2022.

V.M. Simulik, I.I. Vyikon, Representations of Clifford and SO(1,9) algebras in the space of 8-component spinors. Advanc. Appl. Cliff. Alg. 2022 (uner consideration in journal).

A. Kosogor, V. A. Lvov, R. Y. Umetsu, X. Xu, R. Kainuma, Strong influence of magnetic order on the low-temperature specific heat of Heusler alloys, Books of Abstracts of 12th International Conference on Nanomaterials: Applications & Properties 2022 (Krakow, Poland, 11-19 September, 2022), p. 07nmm-23.

Yurii A. Sitenko, Volodymyr M. Gorkavenko, Maria S. Tsarenkova, Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background, ArXiv:2208.06398[hep-th].

Yu.V. Zhuchok, New models for the free commutative monogenic trioid and its endomorphism monoid, Semigroup Forum 105 (2022), 575–581. https://doi.org/10.1007/s00233-022-10313-2.

Yu.V. Zhuchok, M.Yu. Zmiienko, On endomorphisms of free g-dimonoids of rank 1, Abstracts of the International Algebraic Conference “At the End of the Year” 2022, Kyiv, Ukraine, December 27–28, p. 64.

A.V. Zhuchok, The least n-nilpotent dimonoid congruences on the free trioid, Abstracts of the International Algebraic Conference “At the End of the Year$"$ 2022, Kyiv, Ukraine, December 27–28, p. 63.

A. Nadtochiy, O.K. Suwal, D.-S. Kim, and O. Korotchenkov, Photocurrent and photoacoustic detection of plasmonic behavior of CdSe quantum dots grown in Au nanogaps, ArXiv:2210.02542[cond-mat.mes-hall].

Nadtochiy, A. Podolian, O. Korotchenkov, Time-domain impedance method for transient photovoltage analysis, ArXiv:2210.07928[[cond-mat.mtrl-sci].

I. Kyrchei, Quaternion MPCEP, CEPMP, and MPCEPMP Generalized Inverses, In: M. I. Andriychuk (Ed.): Matrix Theory - Classics and Advances , London: IntechOpen,s intechopen:103087.

I. Kyrchei, D. Mosić, P.S. Stanimirović, W-MPD–N-DMP-solutions of constrained quaternion matrix equations, In: Special Matrices 11(1) .

A. Nadtochiy, Om Krishna Suwal, Dai-Sik Kim, O. Korotchenkov Plasmonic behavior of CdSe quantum dots thiol-linked in Au nanogaps, In: .

A. Rehman, I.I. Kyrchei , Solving and algorithm to system of quaternion Sylvester-type matrix equations with * -Hermicity, In: Advances in Applied Clifford Algebras 32: 49, 2022. .

A. Rehman, I.I. Kyrchei , I. Ali Khan, M. Nasir, I. Ali, Closed-form formula for a classical system of matrix equations, In: Arab Journal of Basic and Applied Sciences 29(1), 257-267, 2022. .

V.M. Simulik, On the 256-dimensional Clifford Algebra, gamma matrix representations of the Lie algebras SO(1,9), SO(10) and their applications to the physics of elementary particles, Proceedings of the Jubilee Conference“30 Years for the Institute of Electron Physics of Ukrainian National Academy of Sciences”, 21–23 September 2022, Uzhgorod, Ukraine, p. 192–195 (in Ukrainian).

I.I. Vyikon, V.M. Simulik, Spin 3/2 in relativistic equations of motions, Proceedings of the Jubilee Conference “30 Years for the Institute of Electron Physics of Ukrainian National Academy of Sciences”, 21–23 September 2022, Uzhgorod, Ukraine, p. 138-139 (in Ukrainian).

Y.A. Sitenko, V. M. Gorkavenko, M. S. Tsarenkova, Magnetic flux in the vacuum of quantum bosonic matter in the cosmic string background, In: Phys. Rev. D 106 (10), 105010 (2022).

A.V. Zhuchok, Y. V. Zhuchok, Free k-nilpotent n-tuple semigroups, Communications in Algebra,

Y. V. Zhuchok, New models for the free commutative monogenic trioid and its endomorphism monoid, In: Semigroup Forum 105, 575-581. .

ESI research in previous years: additional publications and arXiv preprints

The following papers and publications complement the papers and publications already taken into account in the previous years.

MKS21 = Memory Effects in Dynamical Processes: Theory and Computational Implementation, 2021
JRF = Junior Research Fellows

L. F. Elizondo-Aguilera, T. Rizzo, T. Voigtmann, From Subaging to Hyperaging in Structural Glasses, In: Physical Review Letters 129, 238003 (2022), (MKS21).

P. Rioseco and O. Sarbach, Phase space mixing of a Vlasov gas in the exterior of a Kerr black hole, arXiv:2302.12849, (JRF 2021).