Mathematics

Authors and titles for September 2018

[1801] arXiv:1809.07060 [pdf, other]

Title: How locating sensors in thermo-acoustic tomography?

Maïtine Bergounioux (MAPMO), Elie Bretin (ICJ), Yannick Privat (IRMA)

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

[1802] arXiv:1809.07061 [pdf, other]

Title: Almost Sure Existence of Global Solutions for Supercritical Semilinear Wave Equations

Mickaël Latocca

Comments: Minor modifications, typos corrected, reference added, final version

Journal-ref: Journal of Differential Equations (2021), Vol 273, pp. 83-121

Subjects: Analysis of PDEs (math.AP)

[1803] arXiv:1809.07065 [pdf, other]

Title: Bases for local Weyl modules in type $C$

B. Ravinder

Comments: 19 pages

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[1804] arXiv:1809.07071 [pdf, other]

Title: Product of extension domains is still an extension domain

Pekka Koskela, Zheng Zhu

Subjects: Functional Analysis (math.FA)

[1805] arXiv:1809.07072 [pdf, other]

Title: What Role Can NOMA Play in Massive MIMO?

Kamil Senel, Hei Victor Cheng, Emil Björnson, Erik G. Larsson

Comments: Manuscript submitted to IEEE J-STSP

Subjects: Information Theory (cs.IT)

[1806] arXiv:1809.07074 [pdf, other]

Title: Gaussian unitary ensembles with pole singularities near the soft edge and a system of coupled Painlev\'{e} XXXIV equations

Dan Dai, Shuai-Xia Xu, Lun Zhang

Comments: 51 pages, 7 figures

Subjects: Mathematical Physics (math-ph)

[1807] arXiv:1809.07078 [pdf, other]

Title: $L^p$ norms and support of eigenfunctions on graphs

Etienne Le Masson (UCP), Mostafa Sabri (CU)

Comments: To appear in Comm. Math. Phys

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[1808] arXiv:1809.07083 [pdf, other]

Title: Dynamical Optimal Transport on Discrete Surfaces

Hugo Lavenant (LM-Orsay), Sebastian Claici (MIT), Edward Chien (MIT), Justin Solomon (MIT)

Journal-ref: SIGGRAPH Asia 2018, Dec 2018, Tokyo, Japan. 37, 2018

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

[1809] arXiv:1809.07085 [pdf, other]

Title: On the stability of 2D dipolar Bose-Einstein condensates

Arnaud Eychenne, Nicolas Rougerie (LPMMC)

Subjects: Mathematical Physics (math-ph); Quantum Gases (cond-mat.quant-gas); Analysis of PDEs (math.AP)

[1810] arXiv:1809.07089 [pdf, other]

Title: Monochromatic trees in random tournaments

Matija Bucic, Sven Heberle, Shoham Letzter, Benny Sudakov

Comments: 31 pages, 6 figures

Journal-ref: Combinatorics, Probability and Computing 29.3 (2020), 318-345

Subjects: Combinatorics (math.CO)

[1811] arXiv:1809.07092 [pdf, other]

Title: Key polynomials, separate and immediate valuations, and simple extensions of valued fields

Gérard Leloup (LMM)

Subjects: Commutative Algebra (math.AC)

[1812] arXiv:1809.07094 [pdf, other]

Title: Points of infinite multiplicity of planar Brownian motion: measures and local times

Elie Aïdékon (LPSM), Yueyun Hu (LAGA), Zhan Shi (LPSM)

Comments: In this version, we add the assumption $α_1+\ldots+α_p< 2$ in Section 7.2, and fix some typos

Subjects: Probability (math.PR)

[1813] arXiv:1809.07095 [pdf, other]

Title: Some properties of Neumann quasigroups

Natalia N. Didurik, Victor A. Shcherbacov

Comments: 7 pages

Subjects: Group Theory (math.GR)

[1814] arXiv:1809.07103 [pdf, other]

Title: Embeddings for Infinite-Dimensional Integration and $L_2$-Approximation with Increasing Smoothness

M. Gnewuch, M. Hefter, A. Hinrichs, K. Ritter, G. W. Wasilkowski

Journal-ref: Journal of Complexity 54 (2019), article 101406

Subjects: Numerical Analysis (math.NA)

[1815] arXiv:1809.07104 [pdf, other]

Title: One-shot Capacity bounds on the Simultaneous Transmission of Classical and Quantum Information

Farzin Salek, Anurag Anshu, Min-Hsiu Hsieh, Rahul Jain, Javier R. Fonollosa

Comments: 23 pages

Journal-ref: IEEE Transactions on Information Theory ( Volume: 66 , Issue: 4 , April 2020 )

Subjects: Information Theory (cs.IT); Quantum Physics (quant-ph)

[1816] arXiv:1809.07105 [pdf, other]

Title: Partial integrals of ordinary differential systems

V.N. Gorbuzov

Comments: 86 pages

Subjects: Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS)

[1817] arXiv:1809.07106 [pdf, other]

Title: Approximate normal forms via Floquet-Bloch theory: Nehorosev stability for linear waves in quasiperiodic media

Mitia Duerinckx (ULB), Antoine Gloria (ULB, LJLL (UMR\_7598)), Christopher Shirley (LJLL (UMR\_7598))

Journal-ref: Communications in Mathematical Physics, Springer Verlag, 2021, 383 (2), pp.633-683

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

[1818] arXiv:1809.07107 [pdf, other]

Title: A topological obstruction to the controllability of nonlinear wave equations with bilinear control term

Thomas Chambrion (IECL, SPHINX), Laurent Thomann (IECL)

Comments: 13 pages, SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, In press

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

[1819] arXiv:1809.07118 [pdf, other]

Title: Non-commutative localisation and finite domination over strongly Z-graded rings

Thomas Huettemann

Comments: 29 pages, 5 figures; v2: text improved, typos corrected; v3: example 7.2 expanded

Subjects: K-Theory and Homology (math.KT); Algebraic Topology (math.AT); Rings and Algebras (math.RA)

[1820] arXiv:1809.07119 [pdf, other]

Title: Estimates for Green functions of Stokes systems in two dimensional domains

Jongkeun Choi, Doyoon Kim

Comments: minor revision; accepted in Journal of Mathematical Analysis and Applications

Subjects: Analysis of PDEs (math.AP)

[1821] arXiv:1809.07125 [pdf, other]

Title: The topological support of the z-measures on the Thoma simplex

Grigori Olshanski

Journal-ref: Functional Analysis and its Applications 52:4 (2018), 308-310

Subjects: Probability (math.PR); Combinatorics (math.CO); Representation Theory (math.RT)

[1822] arXiv:1809.07126 [pdf, other]

Title: Complete Differentiable Semiclassical Spectral Asymptotics

Victor Ivrii

Comments: 12pp

Subjects: Spectral Theory (math.SP)

[1823] arXiv:1809.07128 [pdf, other]

Title: Derivation of a heteroepitaxial thin-film model

Elisa Davoli, Paolo Piovano

Comments: 2 figures

Subjects: Analysis of PDEs (math.AP)

[1824] arXiv:1809.07131 [pdf, other]

Title: Twisty Takens: A Geometric Characterization of Good Observations on Dense Trajectories

Boyan Xu, Christopher J. Tralie, Alice Antia, Michael Lin, Jose A. Perea

Comments: 25 pages, 12 figures

Subjects: Dynamical Systems (math.DS); Computational Geometry (cs.CG); Algebraic Topology (math.AT)

[1825] arXiv:1809.07135 [pdf, other]

Title: Loewner chain and quasiconformal extension of some classes of univalent functions

Bappaditya Bhowmik, Goutam Satpati

Comments: 14 pages

Subjects: Complex Variables (math.CV)

[1826] arXiv:1809.07136 [pdf, other]

Title: On Direct Integral Expansion for Periodic Block-Operator Jacobi Matrices and Applications

Leonid Golinskii, Anton Kutsenko

Journal-ref: SIGMA 15 (2019), 050, 14 pages

Subjects: Spectral Theory (math.SP); Classical Analysis and ODEs (math.CA)

[1827] arXiv:1809.07155 [pdf, other]

Title: The Liouville theorem for $p$-harmonic functions and quasiminimizers with finite energy

Anders Björn, Jana Björn, Nageswari Shanmugalingam

Comments: 27 pages

Journal-ref: Math. Z. 297 ( 2021), 827-854

Subjects: Metric Geometry (math.MG); Analysis of PDEs (math.AP)

[1828] arXiv:1809.07156 [pdf, other]

Title: Definable sets of Berkovich curves

Pablo Cubides Kovacsics, Jérôme Poineau

Comments: 53 pages, 1 figure. v2: Section 7.2 on weakly stable fields added and other minor changes. Final version. To appear in Journal of the Institute of Mathematics of Jussieu

Journal-ref: J. Inst. Math. Jussieu 20 (2021) 1275-1339

Subjects: Algebraic Geometry (math.AG); Logic (math.LO)

[1829] arXiv:1809.07167 [pdf, other]

Title: The $16$-rank of $\mathbb{Q}(\sqrt{-p})$

Peter Koymans

Comments: Minor revisions

Journal-ref: Alg. Number Th. 14 (2020) 37-65

Subjects: Number Theory (math.NT)

[1830] arXiv:1809.07172 [pdf, other]

Title: Formal Equivalences in $\mathbb{C}^{4}$

Valentin Burcea

Comments: Implemented corrections and eliminated errors. Better-written. The bibliography has been revised and simplified. 8 pages for the Upraded and Pre-Final Version. It is a short paper written by learning from the mistakes of the initial work

Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)

[1831] arXiv:1809.07180 [pdf, other]

Title: Projective Splitting with Forward Steps only Requires Continuity

Patrick R. Johnstone, Jonathan Eckstein

Comments: 15 pages. arXiv admin note: text overlap with arXiv:1803.07043

Journal-ref: Optim. Lett. 14, 229-247 (2020)

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[1832] arXiv:1809.07181 [pdf, other]

Title: Survey: Sixty Years of Douglas--Rachford

Scott B. Lindstrom, Brailey Sims

Subjects: Optimization and Control (math.OC)

[1833] arXiv:1809.07184 [pdf, other]

Title: Weighted Aleksandrov estimates: PDE and stochastic versions

N.V. Krylov

Comments: 27 pages

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[1834] arXiv:1809.07186 [pdf, other]

Title: General Equitable Decompositions for Graphs with Symmetries

Amanda Francis, Dallas Smith, Benjamin Webb

Comments: arXiv admin note: text overlap with arXiv:1702.00796

Subjects: Combinatorics (math.CO)

[1835] arXiv:1809.07189 [pdf, other]

Title: The Kirchhoff Index of Enhanced Hypercubes

Ping Xu, Qiongxiang Huang

Subjects: Combinatorics (math.CO)

[1836] arXiv:1809.07191 [pdf, other]

Title: Characterizations of Cancellable Groups

Matthew Harrison-Trainor, Meng-Che "Turbo" Ho

Comments: 14 pages

Subjects: Logic (math.LO); Group Theory (math.GR)

[1837] arXiv:1809.07199 [pdf, other]

Title: Primal-dual algorithms for multi-agent structured optimization over message-passing architectures with bounded communication delays

Puya Latafat, Panagiotis Patrinos

Subjects: Optimization and Control (math.OC)

[1838] arXiv:1809.07200 [pdf, other]

Title: Research Problems in Function Theory (New Edition)

Walter K. Hayman, Eleanor F. Lingham

Subjects: Classical Analysis and ODEs (math.CA); Complex Variables (math.CV); Dynamical Systems (math.DS)

[1839] arXiv:1809.07206 [pdf, other]

Title: Some remarks on combinatorial wall-crossing

Galyna Dobrovolska

Subjects: Combinatorics (math.CO)

[1840] arXiv:1809.07211 [pdf, other]

Title: Nearly Fuchsian surface subgroups of finite covolume Kleinian groups

Jeremy Kahn, Alex Wright

Comments: v2: Final prepublication version

Journal-ref: Duke Math. J. 170, no. 3 (2021), 503-573

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG); Dynamical Systems (math.DS)

[1841] arXiv:1809.07218 [pdf, other]

Title: The Constraint Equations in the Presence of a Scalar Field - the Case of the Conformal Method with Volumetric Drift

Caterina Vâlcu

Comments: 46 pages

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

[1842] arXiv:1809.07224 [pdf, other]

Title: Non-Orthogonal Multiple Access: Common Myths and Critical Questions

Mojtaba Vaezi, Robert Schober, Zhiguo Ding, H. Vincent Poor

Comments: To appear in the IEEE Wireless Communications

Subjects: Information Theory (cs.IT)

[1843] arXiv:1809.07226 [pdf, other]

Title: Critical parameters for reaction-diffusion equations involving space-time fractional derivatives

Sunday A. Asogwa, Mohammud Foondun, Jebessa B. Milena, Erkan Nane

Subjects: Analysis of PDEs (math.AP)

[1844] arXiv:1809.07230 [pdf, other]

Title: Sensitivity Function Trade-offs for Networks with a String Topology

Richard Pates, Kaoru Yamamoto

Subjects: Optimization and Control (math.OC)

[1845] arXiv:1809.07233 [pdf, other]

Title: Local moduli of scalar-flat K\"ahler ALE surfaces

Jiyuan Han, Jeff A. Viaclovsky

Comments: 19 pages, contains survey of main results in arXiv:1605.05267, and also some new results

Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)

[1846] arXiv:1809.07236 [pdf, other]

Title: Counterexample to Equivalent Nodal Analysis for Voltage Stability Assessment

Bai Cui, Zhaoyu Wang

Comments: 3 pages, 3 figures

Subjects: Optimization and Control (math.OC)

[1847] arXiv:1809.07237 [pdf, other]

Title: A global weak solution to the Lorentzian harmonic map flow

Xiaoli Han, Lei Liu, Liang Zhao

Comments: to appear in Science China Mathematics

Subjects: Differential Geometry (math.DG)

[1848] arXiv:1809.07240 [pdf, other]

Title: Graph magnitude homology via algebraic Morse theory

Yuzhou Gu

Subjects: Combinatorics (math.CO); Algebraic Topology (math.AT)

[1849] arXiv:1809.07241 [pdf, other]

Title: Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary

Juergen Jost, Lei Liu, Miaomiao Zhu

Comments: to appear in Ann. Inst.H. Poincar Anal. Non Linaire this https URL

Subjects: Differential Geometry (math.DG)

[1850] arXiv:1809.07243 [pdf, other]

Title: A threshold for cutoff in two-community random graphs

Anna Ben-Hamou

Subjects: Probability (math.PR)