Mathematics

Authors and titles for January 2018

[1] arXiv:1801.00013 [pdf, other]

Title: Birational geometry of algebraic varieties

Caucher Birkar

Comments: ICM report (with minor modifications)

Subjects: Algebraic Geometry (math.AG)

[2] arXiv:1801.00020 [pdf, other]

Title: K-theory and actions on Euclidean retracts

Arthur Bartels

Comments: submitted to Proceedings of the ICM 2018

Subjects: K-Theory and Homology (math.KT); Group Theory (math.GR); Geometric Topology (math.GT)

[3] arXiv:1801.00023 [pdf, other]

Title: Exceptional sets for nonuniformly hyperbolic diffeomorphisms

Sara Campos, Katrin Gelfert

Subjects: Dynamical Systems (math.DS)

[4] arXiv:1801.00024 [pdf, other]

Title: On the topological equivalence of S-metric and cone S-metric spaces

Nihal Taş

Comments: 9 pages

Subjects: General Topology (math.GN)

[5] arXiv:1801.00028 [pdf, other]

Title: Smooth quotients of abelian varieties by finite groups

Robert Auffarth, Giancarlo Lucchini Arteche

Comments: 23 pages. V4: Erased the sections with applications in order to lighten the article. These will be improved and published independently

Journal-ref: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) XXI (2020), 673-694

Subjects: Algebraic Geometry (math.AG)

[6] arXiv:1801.00029 [pdf, other]

Title: Graded Expectations: Betti numbers and anti-lecture hall compositions of random threshold graphs

Alexander Engström, Christian Go, Matthew T. Stamps

Comments: 24 pages, 3 figures, and 4 tables

Journal-ref: Pacific J. Math. 319 (2022) 75-98

Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC)

[7] arXiv:1801.00032 [pdf, other]

Title: On uniqueness of end sums and 1-handles at infinity

Jack S. Calcut, Robert E. Gompf

Comments: 25 pages, 8 figures. v2: Minor expository improvements

Journal-ref: Algebr. Geom. Topol. 19 (2019) 1299-1339

Subjects: Geometric Topology (math.GT)

[8] arXiv:1801.00033 [pdf, other]

Title: Concerning $q$-summable Szlenk index

Ryan M. Causey

Subjects: Functional Analysis (math.FA)

[9] arXiv:1801.00034 [pdf, other]

Title: Mean field matching and TSP in pseudo-dimension 1

Giorgio Parisi, Johan Wästlund

Comments: 23 pages

Subjects: Probability (math.PR); Disordered Systems and Neural Networks (cond-mat.dis-nn); Statistical Mechanics (cond-mat.stat-mech)

[10] arXiv:1801.00037 [pdf, other]

Title: On linear sections of the spinor tenfold, I

Alexander Kuznetsov

Comments: 43 pages; v2: exposition improved, some typos corrected, references and attributions included

Journal-ref: Izvestiya: Mathematics 82:4 (2018) pp. 694--751

Subjects: Algebraic Geometry (math.AG)

[11] arXiv:1801.00038 [pdf, other]

Title: Identifiability of two-component skew normal mixtures with one known component

Shantanu Jain, Michael Levine, Predrag Radivojac, Michael W. Trosset

Subjects: Statistics Theory (math.ST)

[12] arXiv:1801.00039 [pdf, other]

Title: Inverse scattering for the massive Thirring model

Dmitry E. Pelinovsky, Aaron Saalmann

Comments: 22 pages, 0 figures

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

[13] arXiv:1801.00043 [pdf, other]

Title: Network Deployment for Maximal Energy Efficiency in Uplink with Multislope Path Loss

Andrea Pizzo, Daniel Verenzuela, Luca Sanguinetti, Emil Björnson

Comments: 30 pages, 5 figures, 2 tables, this https URL

Journal-ref: IEEE Transactions on Green Communications and Networking, May 2018

Subjects: Information Theory (cs.IT)

[14] arXiv:1801.00044 [pdf, other]

Title: Cyclic descents for near-hook and two-row shapes

Ron M. Adin, Sergi Elizalde, Yuval Roichman

Comments: 37 pages; this version includes generating function computations, and connections to Narayana numbers and statistics on words

Subjects: Combinatorics (math.CO)

[15] arXiv:1801.00045 [pdf, other]

Title: Webs of type Q

Gordon C. Brown, Jonathan R. Kujawa

Comments: 32 pages, lots of diagrams

Subjects: Representation Theory (math.RT)

[16] arXiv:1801.00051 [pdf, other]

Title: Stability Analysis of Coupled Structural Acoustics PDE Models under Thermal Effects and with no Additional Dissipation

George Avalos, Pelin G. Geredeli

Subjects: Analysis of PDEs (math.AP)

[17] arXiv:1801.00053 [pdf, other]

Title: From analytical mechanical problems to rewriting theory through M. Janet

Kenji Iohara, Philippe Malbos

Comments: Lecture note of the Kobe-Lyon summer school 2015

Subjects: History and Overview (math.HO); Commutative Algebra (math.AC)

[18] arXiv:1801.00057 [pdf, other]

Title: Preservation of Trees by semidirect Products

Gabriel Zapata

Subjects: Group Theory (math.GR)

[19] arXiv:1801.00058 [pdf, other]

Title: A simple mathematical model for unemployment: a case study in Portugal with optimal control

Anibal Galindro, Delfim F. M. Torres

Comments: This is a preprint of a paper whose final and definite form will appear in 'Statistics, Optimization and Information Computing' (see [this http URL]). Submitted 27-Oct-2017; revised 19-Dec-2017; accepted 29-Dec-2017

Journal-ref: Stat. Optim. Inf. Comput. 6 (2018), no. 1, 116--129

Subjects: Optimization and Control (math.OC); General Finance (q-fin.GN)

[20] arXiv:1801.00066 [pdf, other]

Title: Normally hyperbolic surfaces based finite-time transient stability monitoring of power system dynamics

Sambarta Dasgupta, Umesh Vaidya

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[21] arXiv:1801.00068 [pdf, other]

Title: Contingency Analysis of Power Networks : A System Theoretic Approach

Sambarta Dasgupta, Umesh Vaidya

Subjects: Optimization and Control (math.OC)

[22] arXiv:1801.00070 [pdf, other]

Title: Sum of squares certificates for stability of planar, homogeneous, and switched systems

Amir Ali Ahmadi, Pablo A. Parrilo

Comments: 12 pages. The arxiv version includes some more details than the published version

Journal-ref: IEEE Transactions On Automatic Control, Vol. 62, No. 10, October 2017

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Algebraic Geometry (math.AG); Dynamical Systems (math.DS)

[23] arXiv:1801.00072 [pdf, other]

Title: Invariant submanifolds for affine control systems

Chong-Kyu Han, Hyeseon Kim

Comments: 11 pages

Subjects: Dynamical Systems (math.DS)

[24] arXiv:1801.00079 [pdf, other]

Title: HDG-POD Reduced Order Model of the Heat Equation

Jiguang Shen, John R. Singler, Yangwen Zhang

Subjects: Numerical Analysis (math.NA)

[25] arXiv:1801.00081 [pdf, other]

Title: Validity of formal expansions for singularly perturbed competition-diffusion systems

Ryunosuke Mori

Subjects: Analysis of PDEs (math.AP)

[26] arXiv:1801.00082 [pdf, other]

Title: An HDG Method for Distributed Control of Convection Diffusion PDEs

Weiwei Hu, Jiguang Shen, John R. Singler, Yangwen Zhang, Xiaobo Zheng

Comments: arXiv admin note: substantial text overlap with arXiv:1712.10106, arXiv:1712.01403, arXiv:1712.02931

Journal-ref: J. Comput. Appl. Math., 343 (2018) 643-661

Subjects: Numerical Analysis (math.NA)

[27] arXiv:1801.00088 [pdf, other]

Title: On optimal periodic dividend and capital injection strategies for spectrally negative L\'evy models

Kei Noba, José-Luis Pérez, Kazutoshi Yamazaki, Kouji Yano

Comments: 15 pages, 6 figures

Subjects: Probability (math.PR)

[28] arXiv:1801.00089 [pdf, other]

Title: Essential dimension of finite groups in prime characteristic

Zinovy Reichstein, Angelo Vistoli

Comments: 7 pages. Added a new proof of a key lemma due to a referee, and made some more minor changes. Accepted for publication in Comptes Rendus Mathematique

Subjects: Group Theory (math.GR); Algebraic Geometry (math.AG)

[29] arXiv:1801.00097 [pdf, other]

Title: Hidden constructions in abstract algebra. Krull Dimension of distributive lattices and commutative rings

Thierry Coquand, Henri Lombardi

Comments: This paper has been published in 2003. Here we have updated the bibliography. arXiv admin note: substantial text overlap with arXiv:1712.04725

Journal-ref: p.\ 477--499 in Commutative ring theory and applications (Fez, 2001), Lecture Notes in Pure and Applied Mathematics, volume 231. Dekker, New-York (2003)

Subjects: Commutative Algebra (math.AC)

[30] arXiv:1801.00099 [pdf, other]

Title: Null structures and degenerate dispersion relations in two space dimensions

Yuqiu Fu, Daniel Tataru

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[31] arXiv:1801.00104 [pdf, other]

Title: Global attractors for the damped nonlinear wave equation in unbounded domains

Djiby Fall, Yuncheng You

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[32] arXiv:1801.00106 [pdf, other]

Title: Content Placement in Cache Networks Using Graph-Coloring

Mostafa Javedankherad, Zolfa Zeinalpour-Yazdi

Subjects: Information Theory (cs.IT)

[33] arXiv:1801.00107 [pdf, other]

Title: Quasi-units as orthogonal projections

Zsigmond Tarcsay, Tamás Titkos

Comments: 12 pages

Subjects: Functional Analysis (math.FA)

[34] arXiv:1801.00109 [pdf, other]

Title: Finite field analogue of restriction theorem for general measures

Changhao Chen

Comments: 8 pages, no figures

Subjects: Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)

[35] arXiv:1801.00111 [pdf, other]

Title: Inverting non-invertible trees

Soňa Pavlíková, Jozef Širáň

Comments: 14 pages

Subjects: Combinatorics (math.CO)

[36] arXiv:1801.00113 [pdf, other]

Title: A generalization of Neumann's Question

A. Ahmadkhah, S. Marzang, M. Zarrin

Comments: 10 pages

Subjects: Group Theory (math.GR)

[37] arXiv:1801.00117 [pdf, other]

Title: A New Sparsification and Reconstruction Strategy for Compressed Sensing Photoacoustic Tomography

Markus Haltmeier, Michael Sandbichler, Thomas Berer, Johannes Bauer-Marschallinger, Peter Burgholzer, Linh Nguyen

Comments: 15 pages, 10 figures

Subjects: Numerical Analysis (math.NA); Medical Physics (physics.med-ph)

[38] arXiv:1801.00120 [pdf, other]

Title: Asymptotic expansion of Skorohod integrals

David Nualart, Nakahiro Yoshida

Subjects: Probability (math.PR)

[39] arXiv:1801.00121 [pdf, other]

Title: Resource Allocation for Downlink NOMA Systems: Key Techniques and Open Issues

S. M. Riazul Islam, Ming Zeng, Octavia A. Dobre, Kyung-Sup Kwak

Comments: 5G, NOMA, Resource allocation, User pairing, Power allocation

Journal-ref: Wireless Communications Magazine (WCM) 2018

Subjects: Information Theory (cs.IT)

[40] arXiv:1801.00123 [pdf, other]

Title: Frobenius manifolds and quantum groups

Xiaomeng Xu

Comments: 25 pages

Subjects: Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Quantum Algebra (math.QA); Symplectic Geometry (math.SG)

[41] arXiv:1801.00124 [pdf, other]

Title: Escaping Fatou components of transcendental self-maps of the punctured plane

David Martí-Pete

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[42] arXiv:1801.00131 [pdf, other]

Title: On the structure of zero-sum free set with minimum subset sums in abelian groups

Jiangtao Peng, Wanzhen Hui

Comments: 19 pages

Subjects: Combinatorics (math.CO)

[43] arXiv:1801.00137 [pdf, other]

Title: Frequency-driven market mechanisms for optimal dispatch in power networks

Tjerk Stegink, Ashish Cherukuri, Claudio De Persis, Arjan van der Schaft, Jorge Cortés

Comments: 8 pages, submitted to IEEE Transactions on Automatic Control

Subjects: Optimization and Control (math.OC)

[44] arXiv:1801.00139 [pdf, other]

Title: Relationship between Li-Yorke chaos and positive topological sequence entropy in nonautonomous dynamical systems

Jakub Sotola

Comments: 10 pages, 4 figures

Subjects: Dynamical Systems (math.DS)

[45] arXiv:1801.00140 [pdf, other]

Title: Moment measures and stability for Gaussian inequalities

Alexander V. Kolesnikov, Egor D. Kosov

Subjects: Functional Analysis (math.FA)

[46] arXiv:1801.00143 [pdf, other]

Title: Paired wreaths: towards a 2-categorical atlas of cross products

Bojana Femić

Subjects: Quantum Algebra (math.QA)

[47] arXiv:1801.00144 [pdf, other]

Title: Ground-state energy of one-dimensional free Fermi gases in the thermodynamic limit

Peter Otte, Wolfgang Spitzer

Subjects: Mathematical Physics (math-ph); Quantum Gases (cond-mat.quant-gas); Spectral Theory (math.SP)

[48] arXiv:1801.00145 [pdf, other]

Title: Dynamic Interference Steering in Heterogeneous Cellular Networks

Zhao Li, Canyu Shu, Fengjuan Guo, Kang G. Shin, Jia Liu

Subjects: Information Theory (cs.IT)

[49] arXiv:1801.00149 [pdf, other]

Title: Inverse Exponential Decay: Stochastic Fixed Point Equation and ARMA Models

Krzysztof Burdzy, Bartosz Kołodziejek, Tvrtko Tadić

Comments: 32 pages, 1 figure. To appear in Bernoulli

Subjects: Probability (math.PR); Dynamical Systems (math.DS); Statistics Theory (math.ST)

[50] arXiv:1801.00150 [pdf, other]

Title: On a scenario of onset of strongly dissipative mixed dynamics

Alexey Kazakov

Comments: 17 pages, 7 figures

Subjects: Dynamical Systems (math.DS)