Mathematics

Authors and titles for January 2018

[401] arXiv:1801.01236 [pdf, other]

Title: Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems

Maziar Raissi, Paris Perdikaris, George Em Karniadakis

Subjects: Dynamical Systems (math.DS); Numerical Analysis (math.NA); Chaotic Dynamics (nlin.CD); Computational Physics (physics.comp-ph); Machine Learning (stat.ML)

[402] arXiv:1801.01238 [pdf, other]

Title: Topological Entropy for Discontinuous Semiflows

Nelda Jaque, Bernardo San Martín

Subjects: Dynamical Systems (math.DS)

[403] arXiv:1801.01240 [pdf, other]

Title: The distance to square-free polynomials

Artūras Dubickas, Min Sha

Comments: 16 pages

Subjects: Number Theory (math.NT)

[404] arXiv:1801.01241 [pdf, other]

Title: On the Rayleigh-Taylor instability in presence of a background shear

Roman Shvydkoy

Comments: 19 pages

Subjects: Analysis of PDEs (math.AP)

[405] arXiv:1801.01249 [pdf, other]

Title: Cooperative Ambient Backscatter Communications for Green Internet-of-Things

Gang Yang, Qianqian Zhang, Ying-Chang Liang

Comments: This journal paper has 16 pages in double column and 6 figures, and will appear in IEEE Internet-of-Things Journal. The conference version with title "Cooperative receiver for ambient backscatter communications with multiple antennas" was published in IEEE Conference Communications (ICC, 2017)

Subjects: Information Theory (cs.IT)

[406] arXiv:1801.01251 [pdf, other]

Title: Period integral of open Fermat surfaces and special values of hypergeometric functions

Tomohide Terasoma

Comments: 2 figures

Subjects: Algebraic Geometry (math.AG)

[407] arXiv:1801.01252 [pdf, other]

Title: A linearized energy preserving finite element method for the dynamical incompressible magnetohydrodynamics equations

Huadong Gao, Weifeng Qiu

Comments: 22 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[408] arXiv:1801.01256 [pdf, other]

Title: A scaling limit from the wave map to the heat flow into $\mathbb{S}^2$

Ning Jiang, Yi-Long Luo, Shaojun Tang, Arghir Zarnescu

Comments: 21 pages

Journal-ref: Commun. Math. Sci. 17 (2019) 353-375

Subjects: Analysis of PDEs (math.AP)

[409] arXiv:1801.01265 [pdf, other]

Title: Improved Bounds on Lossless Source Coding and Guessing Moments via R\'enyi Measures

Igal Sason, Sergio Verdú

Comments: This paper was published in the IEEE Trans. on Information Theory, vol. 64, no. 6, pp. 4323-4346, June 2018. The current version is a post-print which includes few corrections of printing typos

Subjects: Information Theory (cs.IT)

[410] arXiv:1801.01268 [pdf, other]

Title: Asymptotic Faithfulness of Quantum $\mathrm{Sp}(4)$ Mapping Class Group Representations

Wade Bloomquist

Comments: 12 pages, 13 figures. arXiv admin note: text overlap with arXiv:1611.04551

Subjects: Quantum Algebra (math.QA); Geometric Topology (math.GT)

[411] arXiv:1801.01270 [pdf, other]

Title: Ultra-Reliable and Low-Latency Wireless Communication: Tail, Risk and Scale

Mehdi Bennis, Mérouane Debbah, H. Vincent Poor

Comments: 27 pages, Proceedings of the IEEE (in press), October 2018

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[412] arXiv:1801.01271 [pdf, other]

Title: On division subrings normalized by almost subnormal subgroups in division rings

Trinh Thanh Deo, Mai Hoang Bien, Bui Xuan Hai

Comments: 13 pages

Subjects: Rings and Algebras (math.RA)

[413] arXiv:1801.01282 [pdf, other]

Title: Minimal convex majorants of functions and Demyanov--Rubinov super(sub)differentials

Valentin V. Gorokhovik

Subjects: Optimization and Control (math.OC)

[414] arXiv:1801.01283 [pdf, other]

Title: Recursive combinatorial aspects of compactified moduli spaces

Lucia Caporaso

Comments: 17 pages, submitted to the ICM 2018 proceedings

Subjects: Algebraic Geometry (math.AG)

[415] arXiv:1801.01284 [pdf, other]

Title: Ergodic BSDE with an unbounded and multiplicative underlying diffusion and application to large time behavior of viscosity solution of HJB equation

Ying Hu (IRMAR), Florian Lemonnier (IRMAR)

Subjects: Probability (math.PR)

[416] arXiv:1801.01289 [pdf, other]

Title: On sums of squares of $|\zeta(\frac12+i\gamma)|$ over short intervals

Aleksandar Ivić

Comments: 9 pages

Subjects: Number Theory (math.NT)

[417] arXiv:1801.01291 [pdf, other]

Title: Approximate solutions to large nonsymmetric differential Riccati problems with applications to transport theory

V. Angelova, M. Hached, K. Jbilou

Subjects: Numerical Analysis (math.NA)

[418] arXiv:1801.01292 [pdf, other]

Title: Generic distance-squared mappings on plane curves

Shunsuke Ichiki

Comments: 10 pages

Subjects: Differential Geometry (math.DG)

[419] arXiv:1801.01297 [pdf, other]

Title: Another refinement of the right-hand side of the Hermite-Hadamard inequality for simplices

Monika Nowicka, Alfred Witkowski

Journal-ref: Aequat. Math. (2018) 92: 1163

Subjects: Classical Analysis and ODEs (math.CA)

[420] arXiv:1801.01300 [pdf, other]

Title: Heat and entropy flows in Carnot groups

Luigi Ambrosio, Giorgio Stefani

Comments: 28 pages

Journal-ref: Rev. Mat. Iberoam. 36 (2020), no. 1, 257-290

Subjects: Differential Geometry (math.DG)

[421] arXiv:1801.01302 [pdf, other]

Title: Isoperimetric rigidity and distributions of 1-Lipschitz functions

Hiroki Nakajima, Takashi Shioya

Comments: 33 pages

Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)

[422] arXiv:1801.01309 [pdf, other]

Title: The mathematics of asymptotic stability in the Kuramoto model

Helge Dietert, Bastien Fernandez

Comments: 20 pages

Journal-ref: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 474 Issue 2220, 12 December 2018

Subjects: Analysis of PDEs (math.AP); Adaptation and Self-Organizing Systems (nlin.AO)

[423] arXiv:1801.01310 [pdf, other]

Title: Validity of Borodin and Kostochka Conjecture for {4 Times K1}-free Graphs

Medha Dhurandhar

Comments: 5 pages

Subjects: Combinatorics (math.CO)

[424] arXiv:1801.01313 [pdf, other]

Title: Thinplate Splines on the Sphere

Rick K. Beatson, Wolfgang zu Castell

Journal-ref: SIGMA 14 (2018), 083, 22 pages

Subjects: Classical Analysis and ODEs (math.CA)

[425] arXiv:1801.01318 [pdf, other]

Title: S-regular functions which preserve a complex slice

Amedeo Altavilla, Chiara de Fabritiis

Comments: 23 pages, to appear in Annali di Matematica Pura e Applicata

Subjects: Complex Variables (math.CV)

[426] arXiv:1801.01327 [pdf, other]

Title: Frobenius Theorem in Banach Space and an Extremum Principle of Real Functional under the Constraints of $c^1$ Submanifold in Banach Space

Jipu Ma

Comments: arXiv admin note: text overlap with arXiv:1407.5198

Subjects: Functional Analysis (math.FA)

[427] arXiv:1801.01328 [pdf, other]

Title: Schurity and separability of quasiregular coherent configurations

Mitsugu Hirasaka, Kijung Kim, Ilia Ponomarenko

Subjects: Combinatorics (math.CO)

[428] arXiv:1801.01329 [pdf, other]

Title: Bounded normal generation is not equivalent to topological bounded normal generation

Philip A. Dowerk, François Le Maître

Comments: 11 pages

Subjects: Group Theory (math.GR); Functional Analysis (math.FA)

[429] arXiv:1801.01335 [pdf, other]

Title: Covariant Schr\"odinger semigroups on Riemannian manifolds

Batu Güneysu

Comments: This is a shortened version (the Chapters VII - XIII have been removed). The full version has been published in December 2017 as a monograph in the BIRKHÄUSER series Operator Theory: Advances and Applications, and only the published version should be cited

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Functional Analysis (math.FA); Probability (math.PR)

[430] arXiv:1801.01336 [pdf, other]

Title: A family of multigraphs with large palette index

Maddalena Avesani, Arrigo Bonisoli, Giuseppe Mazzuoccolo

Comments: 13 pages, 2 figures

Subjects: Combinatorics (math.CO)

[431] arXiv:1801.01338 [pdf, other]

Title: Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures

Thilo M. Simon

Comments: 30 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[432] arXiv:1801.01339 [pdf, other]

Title: On the application of the Lindstedt-Poincar\'{e} method to the Lotka-Volterra system

Paolo Amore, Francisco M. Fernández

Subjects: Mathematical Physics (math-ph)

[433] arXiv:1801.01340 [pdf, other]

Title: Random time step probabilistic methods for uncertainty quantification in chaotic and geometric numerical integration

Assyr Abdulle, Giacomo Garegnani

Journal-ref: Stat. Comput. 30, 907-932 (2020)

Subjects: Numerical Analysis (math.NA)

[434] arXiv:1801.01345 [pdf, other]

Title: De Branges spaces and Fock spaces

Anton Baranov, Hélène Bommier-Hato

Comments: 19 pages

Subjects: Complex Variables (math.CV); Functional Analysis (math.FA)

[435] arXiv:1801.01346 [pdf, other]

Title: Spectral properties of 2D Pauli operators with almost periodic electromagnetic fields

Jean-Francois Bony, Nicolas Espinoza, Georgi Raikov

Comments: 28 pages, a typo in the abstract corrected. In the Publications of the RIMS

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[436] arXiv:1801.01347 [pdf, other]

Title: Metaplectic Eisenstein Distributions

Brandon Bate

Subjects: Number Theory (math.NT)

[437] arXiv:1801.01352 [pdf, other]

Title: Two-phase heat conductors with a surface of the constant flow property

Lorenzo Cavallina, Rolando Magnanini, Shigeru Sakaguchi

Comments: 36 pages, 3 figures

Journal-ref: Journal of Geometric Analysis, published online 2019

Subjects: Analysis of PDEs (math.AP)

[438] arXiv:1801.01354 [pdf, other]

Title: Ekedahl-Oort stratifications of Shimura varieties via Breuil-Kisin windows

Qijun Yan

Comments: 75 pages; Acknowledgement added; Comments are welcome

Subjects: Algebraic Geometry (math.AG)

[439] arXiv:1801.01360 [pdf, other]

Title: Minimal Representations of Natural Numbers Under a Set of Operators

Akshunna Shaurya Dogra

Comments: 13 pages, 2 figures, 2 tables

Subjects: History and Overview (math.HO)

[440] arXiv:1801.01364 [pdf, other]

Title: Real intersection theory (II)

B. Wang

Comments: Revised section 2.2, and referred a couple of proofs in the section to another paper "Lebesgue currents"

Subjects: Algebraic Geometry (math.AG)

[441] arXiv:1801.01366 [pdf, other]

Title: Weighted complete continuity for the commutator of Marcinkiewicz integral

Guoen Hu

Comments: 24 pages

Subjects: Classical Analysis and ODEs (math.CA)

[442] arXiv:1801.01368 [pdf, other]

Title: A simple property of the Weyl tensor for a shear, vorticity and acceleration-free velocity field

Luca Guido Molinari, Carlo Alberto Mantica

Comments: An error in Theorem 1.1 has been corrected; the other statements remain as in the previous version. An erratum has been sent to Gen. Relativ. Gravit

Journal-ref: General Relativity and Gravitation (2018) 50:81, 7pages

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[443] arXiv:1801.01370 [pdf, other]

Title: A Note On Uniqueness Of Meromorphic Functions And Their Derivatives Sharing Two Sets

Abhijit Banerjee, Bikash Chakraborty

Comments: 9 pages. arXiv admin note: text overlap with arXiv:1608.02539

Journal-ref: Applied Mathematics E-Notes, 17(2017), 164-176

Subjects: Complex Variables (math.CV)

[444] arXiv:1801.01371 [pdf, other]

Title: Quantitative Fatou Theorems and Uniform Rectifiability

Simon Bortz, Steve Hofmann

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA)

[445] arXiv:1801.01380 [pdf, other]

Title: The cost of controlling strongly degenerate parabolic equations

Piermarco Cannarsa, Patrick Martinez, Judith Vancostenoble

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[446] arXiv:1801.01381 [pdf, other]

Title: Graph Homologies and Functoriality

Ahmad Zainy Al-Yasry

Comments: 21 pages. arXiv admin note: text overlap with arXiv:1401.7107, arXiv:1506.04785 by other authors

Subjects: Algebraic Topology (math.AT)

[447] arXiv:1801.01382 [pdf, other]

Title: Logarithmic Bose-Einstein condensates with harmonic potential

Alex H. Ardila, Liliana Cely, Marco Squassina

Comments: 12 pages, updated version

Subjects: Analysis of PDEs (math.AP)

[448] arXiv:1801.01384 [pdf, other]

Title: Holomorphic Structure of Middle Bol Loops

Tèmítópé Gbóláhàn Jaíyéolá, Sunday Peter David, Emmanuel Ilojide, Yakub Tunde Oyebo

Comments: 15 pages. arXiv admin note: text overlap with arXiv:1606.09169

Journal-ref: Khayyam J.Math. 3 (2017) 172-184

Subjects: Group Theory (math.GR)

[449] arXiv:1801.01386 [pdf, other]

Title: On Enriched Fibrations

Christina Vasilakopoulou

Comments: 22 pages. New version incorporates revisions, adjustments and addition of material, according to reviewer's suggestions. To appear to "Cahiers de Topologie et Géométrie Différentielle Catégoriques"

Subjects: Category Theory (math.CT); Rings and Algebras (math.RA)

[450] arXiv:1801.01389 [pdf, other]

Title: Bogoliubov Theory in the Gross-Pitaevskii Limit

Chiara Boccato, Christian Brennecke, Serena Cenatiempo, Benjamin Schlein

Comments: new version, with no assumption on the size of the interaction

Subjects: Mathematical Physics (math-ph); Analysis of PDEs (math.AP)