Mathematics

Authors and titles for December 2018

[2151] arXiv:1812.08738 [pdf, other]

Title: Higher Airy structures, W algebras and topological recursion

Gaëtan Borot, Vincent Bouchard, Nitin K. Chidambaram, Thomas Creutzig, Dmitry Noshchenko

Comments: 93 pages, v4: references added, many typos corrected

Journal-ref: Mem. Amer. Math. Soc. 296 (2024), no. 1476

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[2152] arXiv:1812.08740 [pdf, other]

Title: Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective

Madeline Brandt, Martin Ulirsch

Comments: Minor changes; 31 pages, 10 figures

Subjects: Algebraic Geometry (math.AG)

[2153] arXiv:1812.08742 [pdf, other]

Title: Homological stability for classical groups

David Sprehn, Nathalie Wahl

Comments: v2: Revision. Now recovers the Galatius-Kupers-Randal-Williams improved stability range for general linear groups over finite fields

Journal-ref: Trans. Amer. Math. Soc. 373 (2020), 4807-4861

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

[2154] arXiv:1812.08743 [pdf, other]

Title: Souslin trees at successors of regular cardinals

Assaf Rinot

Comments: this http URL

Subjects: Logic (math.LO)

[2155] arXiv:1812.08747 [pdf, other]

Title: Fourier series in BMO with number theoretical implications

Fernando Chamizo, Antonio Córdoba, Adrián Ubis

Comments: 15 pages, no figures. Submitted

Subjects: Classical Analysis and ODEs (math.CA)

[2156] arXiv:1812.08759 [pdf, other]

Title: Optimal Trajectories of a UAV Base Station Using Lagrangian Mechanics

Marceau Coupechoux, Jérôme Darbon, Jean-Marc Kélif, Marc Sigelle

Subjects: Optimization and Control (math.OC); Networking and Internet Architecture (cs.NI)

[2157] arXiv:1812.08770 [pdf, other]

Title: Porous Medium Equation with A Drift: Free boundary Regularity

Inwon Kim, Yuming Paul Zhang

Comments: 39 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[2158] arXiv:1812.08774 [pdf, other]

Title: Noncommutative counterparts of celebrated conjectures

Goncalo Tabuada

Comments: Survey article; 23 pages. Revised version. arXiv admin note: text overlap with arXiv:1808.00950

Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT); K-Theory and Homology (math.KT); Representation Theory (math.RT)

[2159] arXiv:1812.08777 [pdf, other]

Title: Differentiability of the Evolution Map and Mackey Continuity

Maximilian Hanusch

Comments: 40 pages. Version as published at Forum Mathematicum (up to additional generalization of Theorem 2 to nets)

Journal-ref: Forum Math. (2019), Vol. 31, Issue 5. Pages 1139-1177

Subjects: Functional Analysis (math.FA); Differential Geometry (math.DG)

[2160] arXiv:1812.08786 [pdf, other]

Title: Topological geometric extension of Stokes-Dirac structures for global energy flows

Gou Nishida, Bernhard Maschke

Subjects: Differential Geometry (math.DG)

[2161] arXiv:1812.08807 [pdf, other]

Title: On finding all positive integers $a,b$ such that $b\pm a$ and $ab$ are palindromic

Wang Pok Lo, Yuval Paz

Comments: 8 pages

Subjects: History and Overview (math.HO)

[2162] arXiv:1812.08819 [pdf, other]

Title: A Bezout ring of stable range 2 which has square stable range 1

Bohdan Zabavsky, Oleh Romaniv

Subjects: Rings and Algebras (math.RA); Commutative Algebra (math.AC); K-Theory and Homology (math.KT)

[2163] arXiv:1812.08820 [pdf, other]

Title: Simple Graph Density Inequalities with no Sum of Squares Proofs

Grigoriy Blekherman, Annie Raymond, Mohit Singh, Rekha R. Thomas

Comments: 12 pages

Subjects: Combinatorics (math.CO)

[2164] arXiv:1812.08823 [pdf, other]

Title: A generalization of Bombieri-Vinogradov theorem and its application

Peter Cho-Ho Lam

Comments: 8 pages; comments welcome!

Subjects: Number Theory (math.NT)

[2165] arXiv:1812.08831 [pdf, other]

Title: The functor of complex characters of finite groups

Mehmet Arslan, Olcay Coşkun

Comments: 27 pages

Subjects: Representation Theory (math.RT)

[2166] arXiv:1812.08833 [pdf, other]

Title: The Birkhoff theorem for unitary matrices of prime-power dimension

Alexis De Vos, Stijn De Baerdemacker

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[2167] arXiv:1812.08837 [pdf, other]

Title: Distribution of short subsequences of inversive congruential pseudorandom numbers modulo $2^t$

László Mérai, Igor E. Shparlinski

Subjects: Number Theory (math.NT)

[2168] arXiv:1812.08838 [pdf, other]

Title: Berry-Esseen bounds in the Breuer-Major CLT and Gebelein's inequality

Ivan Nourdin, Giovanni Peccati, Xiaochuan Yang

Comments: 16 pages

Subjects: Probability (math.PR)

[2169] arXiv:1812.08843 [pdf, other]

Title: Decentralized Decision-Making Over Multi-Task Networks

Sahar Khawatmi, Abdelhak M. Zoubir, Ali H. Sayed

Comments: 26 pages, 13 figures, Journal paper

Subjects: Optimization and Control (math.OC); Multiagent Systems (cs.MA); Machine Learning (stat.ML)

[2170] arXiv:1812.08844 [pdf, other]

Title: Topological degree for equivariant gradient perturbations of an unbounded self-adjoint operator in Hilbert space

Piotr Bartłomiejczyk, Bartosz Kamedulski, Piotr Nowak-Przygodzki

Comments: 13 pages

Subjects: Algebraic Topology (math.AT); Differential Geometry (math.DG)

[2171] arXiv:1812.08845 [pdf, other]

Title: Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period

Hansol Hong, Yu-Shen Lin, Jingyu Zhao

Comments: 44 pages, 9 figures, comments are welcome

Subjects: Symplectic Geometry (math.SG)

[2172] arXiv:1812.08846 [pdf, other]

Title: A complete classification of hereditarily equivalent plane continua

L. C. Hoehn, L. G. Oversteegen

Subjects: General Topology (math.GN)

[2173] arXiv:1812.08850 [pdf, other]

Title: Finding non-minority balls with majority and plurality queries

Huilan Chang, Dániel Gerbner, Balázs Patkós

Subjects: Combinatorics (math.CO)

[2174] arXiv:1812.08851 [pdf, other]

Title: The Beltrami Equation with Parameters and Uniformization of Foliations with Hyperbolic Leaves

Arseniy Shcherbakov

Comments: 167 pages

Subjects: Complex Variables (math.CV)

[2175] arXiv:1812.08852 [pdf, other]

Title: A Scale Invariant Approach for Sparse Signal Recovery

Yaghoub Rahimi, Chao Wang, Hongbo Dong, Yifei Lou

Comments: 24 pages

Subjects: Numerical Analysis (math.NA); Computer Vision and Pattern Recognition (cs.CV)

[2176] arXiv:1812.08864 [pdf, other]

Title: Uniqueness and ergodicity of stationary directed polymers on $\mathbb Z^2$

Christopher Janjigian, Firas Rassoul-Agha

Comments: 15 pages. Restructured the manuscript

Journal-ref: J Stat Phys 179, 672-689 (2020)

Subjects: Probability (math.PR)

[2177] arXiv:1812.08869 [pdf, other]

Title: Data-Rate Driven Transmission Strategy for Deep Learning Based Communication Systems

Xiao Chen, Julian Cheng, Zaichen Zhang, Liang Wu, Jian Dang

Comments: Published

Subjects: Information Theory (cs.IT)

[2178] arXiv:1812.08872 [pdf, other]

Title: On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models

Marvin Fritz, Ernesto A. B. F. Lima, J. Tinsley Oden, Barbara Wohlmuth

Journal-ref: Math. Models Methods Appl. Sci. 29 (2019) 1691-1731

Subjects: Analysis of PDEs (math.AP)

[2179] arXiv:1812.08885 [pdf, other]

Title: Invariants of Spatial Graphs

Blake Mellor

Comments: 12 pages

Subjects: Geometric Topology (math.GT)

[2180] arXiv:1812.08890 [pdf, other]

Title: The symmetries of octupolar tensors

Giuseppe Gaeta, Epifanio G. Virga

Subjects: Mathematical Physics (math-ph); Soft Condensed Matter (cond-mat.soft)

[2181] arXiv:1812.08893 [pdf, other]

Title: Relatively hyperbolic groups with free abelian second cohomology

Michael Mihalik, Eric Swenson

Comments: 31 pages, 8 figures

Subjects: Group Theory (math.GR)

[2182] arXiv:1812.08894 [pdf, other]

Title: On the Entropy of Parabolic Allen-Cahn Equation

Ao Sun

Comments: 13 pages. Accepted by Interfaces and Free Boundaries

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[2183] arXiv:1812.08897 [pdf, other]

Title: On strongly harmonic and Gelfand modules

Mauricio Medina-Bárcenas, Lorena Morales-Callejas, Martha Lizbeth Shaid Sandoval-Miranda, Luis Ángel Zaldívar

Comments: This version will be appear in Communications in Algebra

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

[2184] arXiv:1812.08898 [pdf, other]

Title: Capacity Scaling of Massive MIMO in Strong Spatial Correlation Regimes

Junyoung Nam, Giuseppe Caire, Merouane Debbah, H. Vincent Poor

Comments: accepted for publication in IEEE Trans. Information Theory

Subjects: Information Theory (cs.IT)

[2185] arXiv:1812.08899 [pdf, other]

Title: Restriction on Dirac's Conjecture

Takayuki Hori

Comments: 32 pages,1 figure

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[2186] arXiv:1812.08900 [pdf, other]

Title: M\"obius-Frobenius maps on irreducible polynomials

F.E. Brochero Martínez, Daniela Oliveira, Lucas Reis

Comments: 12 pages; comments welcome

Subjects: Number Theory (math.NT)

[2187] arXiv:1812.08902 [pdf, other]

Title: Resilient Distributed Parameter Estimation with Heterogeneous Data

Yuan Chen, Soummya Kar, José M. F. Moura

Subjects: Optimization and Control (math.OC)

[2188] arXiv:1812.08903 [pdf, other]

Title: Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras

Nathan Brownlowe, Marcelo Laca, David Robertson, Aidan Sims

Comments: 9 pages; pictures drawn using TiKZ

Subjects: Operator Algebras (math.OA)

[2189] arXiv:1812.08905 [pdf, other]

Title: Spatio-spectral limiting on hypercubes: eigenspaces

Jeffrey A. Hogan, Joseph D. Lakey

Comments: 3 figures

Subjects: Functional Analysis (math.FA)

[2190] arXiv:1812.08909 [pdf, other]

Title: Doppler Effect Assisted Wireless Communication for Interference Mitigation

Dushyantha A. Basnayaka, Tharmalingam Ratnarajah

Comments: 10 pages, 13 figures

Journal-ref: IEEE Transactions on Communications, Apr. 2019

Subjects: Information Theory (cs.IT)

[2191] arXiv:1812.08923 [pdf, other]

Title: Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type

Ryo Kamiya, Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro

Comments: 24 pages, To appear in RIMS Kokyuroku Bessatsu

Journal-ref: RIMS Kokyuroku Bessatsu B78 (2020), 121--153

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[2192] arXiv:1812.08924 [pdf, other]

Title: Multinomial Goodness-of-Fit Based on U-Statistics: High-Dimensional Asymptotic and Minimax Optimality

Ilmun Kim

Subjects: Statistics Theory (math.ST); Methodology (stat.ME)

[2193] arXiv:1812.08925 [pdf, other]

Title: A generalization of Picard-Lindelof theorem/ the method of characteristics to systems of PDE

Erfan Shalchian

Comments: 34 pages

Subjects: Analysis of PDEs (math.AP)

[2194] arXiv:1812.08930 [pdf, other]

Title: A Reidemeister type theorem for petal diagrams of knots

Leslie Colton, Cory Glover, Mark Hughes, Samantha Sandberg

Comments: 21 pages, 25 figures. Comments welcome!

Subjects: Geometric Topology (math.GT)

[2195] arXiv:1812.08932 [pdf, other]

Title: Further results on the least Q-eigenvalue of a graph with fixed domination number

Guanglong Yu, Yarong Wu, Mingqing Zhai

Comments: arXiv admin note: substantial text overlap with arXiv:1707.07123

Subjects: Combinatorics (math.CO)

[2196] arXiv:1812.08943 [pdf, other]

Title: Free boundary minimal surfaces and overdetermined boundary value problems

Nikolai Nadirashvili, Alexei V. Penskoi

Comments: LaTeX, 13 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[2197] arXiv:1812.08944 [pdf, other]

Title: Isotonic Regression in Multi-Dimensional Spaces and Graphs

Hang Deng, Cun-Hui Zhang

Subjects: Statistics Theory (math.ST)

[2198] arXiv:1812.08959 [pdf, other]

Title: On stability of Euler flows on closed surfaces of positive genus

Vladimir Yushutin

Comments: 5 pages

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

[2199] arXiv:1812.08963 [pdf, other]

Title: Spherical inversion for a small $K$-type on the split real Lie group of type $G_2$

Hiroshi Oda, Nobukazu Shimeno

Comments: 14 pages, 1 figure

Subjects: Representation Theory (math.RT)

[2200] arXiv:1812.08965 [pdf, other]

Title: The FDR-Linking Theorem

Weijie J. Su

Subjects: Statistics Theory (math.ST)