Mathematics

Authors and titles for December 2014

[1801] arXiv:1412.6487 [pdf, other]

Title: A regularized Newton-like method for nonlinear PDE

Sara Pollock

Comments: 14 pages, 3 figures, minor corrections

Subjects: Numerical Analysis (math.NA)

[1802] arXiv:1412.6491 [pdf, other]

Title: A commutative diagram among discrete and continuous Neumann boundary optimal control problems

Domingo A. Tarzia

Comments: 23 pages

Journal-ref: Adv. Diff. Eq. Control Processes, 14 (2014) 23-54

Subjects: Numerical Analysis (math.NA)

[1803] arXiv:1412.6500 [pdf, other]

Title: Numerical analysis of distributed optimal control problems governed by elliptic variational inequalities

Mariela Olguín, Domingo A. Tarzia

Comments: 13 pages

Subjects: Numerical Analysis (math.NA)

[1804] arXiv:1412.6508 [pdf, other]

Title: Irrationality proofs for zeta values, moduli spaces and dinner parties

Francis Brown

Subjects: Number Theory (math.NT)

[1805] arXiv:1412.6516 [pdf, other]

Title: Quantitative Bounded Distance Theorem and Margulis' Lemma for Z^n actions with applications to homology

Filippo Cerocchi, Andrea Sambusetti

Comments: 14 pages. Upper bound of the Abelian Margulis' Lemma 1.2: Revised statement and argument of the characterization of the equality case. Corrected typos

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

[1806] arXiv:1412.6534 [pdf, other]

Title: Empirically Estimable Classification Bounds Based on a New Divergence Measure

Visar Berisha, Alan Wisler, Alfred O. Hero, Andreas Spanias

Comments: 12 pages, 5 figures

Subjects: Information Theory (cs.IT); Machine Learning (stat.ML)

[1807] arXiv:1412.6538 [pdf, other]

Title: Exact integration scheme for six-node wedge element mass matrix

Eli Hanukah

Subjects: Numerical Analysis (math.NA)

[1808] arXiv:1412.6539 [pdf, other]

Title: On the openness and discreteness of the mappings satisfying one inequality with respect to $p$-modulus

Evgeny Sevost'yanov

Comments: 13 pages, in Russian

Subjects: Complex Variables (math.CV)

[1809] arXiv:1412.6540 [pdf, other]

Title: Iterated fractional Tikhonov regularization

Davide Bianchi, Alessandro Buccini, Marco Donatelli, Stefano Serra-Capizzano

Journal-ref: Inverse Problems 31(5) (2015)

Subjects: Numerical Analysis (math.NA)

[1810] arXiv:1412.6557 [pdf, other]

Title: Stochastic partial differential equations: a rough path view

Joscha Diehl, Peter K. Friz, Wilhelm Stannat

Journal-ref: Annales de la Faculte des Sciences de Toulouse Ser. 6, Vol. XXVI, 911-947, 2017

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

[1811] arXiv:1412.6559 [pdf, other]

Title: Algebraic weak factorisation systems I: accessible AWFS

John Bourke, Richard Garner

Comments: 46 pages, final journal version

Journal-ref: Journal of Pure and Applied Algebra 220 (2016), pages 108-147

Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)

[1812] arXiv:1412.6560 [pdf, other]

Title: Algebraic weak factorisation systems II: categories of weak maps

John Bourke, Richard Garner

Comments: 30 pages, final journal version

Journal-ref: Journal of Pure and Applied Algebra 220 (2016), pages 148-174

Subjects: Category Theory (math.CT); Algebraic Topology (math.AT)

[1813] arXiv:1412.6561 [pdf, other]

Title: Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs

Matteo Cozzi, Alberto Farina, Enrico Valdinoci

Journal-ref: Adv. Math. 293 (2016) 343-381

Subjects: Analysis of PDEs (math.AP)

[1814] arXiv:1412.6565 [pdf, other]

Title: On the robustness of learning in games with stochastically perturbed payoff observations

Mario Bravo, Panayotis Mertikopoulos

Comments: 36 pages, 4 figures

Subjects: Optimization and Control (math.OC); Computer Science and Game Theory (cs.GT); Probability (math.PR); Machine Learning (stat.ML)

[1815] arXiv:1412.6570 [pdf, other]

Title: The Foundation of Big Data: Experiments, Formulation, and Applications

Robert C. Qiu

Subjects: Information Theory (cs.IT)

[1816] arXiv:1412.6587 [pdf, other]

Title: Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions

Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi, Aibin Zang

Comments: 20pages,1figure

Subjects: Analysis of PDEs (math.AP)

[1817] arXiv:1412.6590 [pdf, other]

Title: Lifting from pairs of two elliptic modular forms to Siegel modular forms of half-integral weight of even degree

Shuichi Hayashida

Comments: 70 pages. arXiv admin note: text overlap with arXiv:1305.1074

Subjects: Number Theory (math.NT)

[1818] arXiv:1412.6595 [pdf, other]

Title: Efficient, Optimal $k$-Leader Selection for Coherent, One-Dimensional Formations

Stacy Patterson, Neil McGlohon, Kirill Dyagilev

Comments: 7 pages, 5 figures, submitted to ECC15

Subjects: Optimization and Control (math.OC); Data Structures and Algorithms (cs.DS); Systems and Control (eess.SY)

[1819] arXiv:1412.6603 [pdf, other]

Title: Second order Method for Solving 3D Elasticity Equations with Complex and Sharp Interfaces

Bao Wang, Kelin Xia, Guowei Wei

Comments: 40 pages, 23 pages

Subjects: Numerical Analysis (math.NA)

[1820] arXiv:1412.6612 [pdf, other]

Title: The Vapnik-Chervonenkis dimension of cubes in $\mathbb{R}^d$

Christian J. J. Despres

Comments: Derived from Fall 2014 Honours research project done under the supervision of Dr. Vladimir Pestov at the University of Ottawa; 4 pages; significantly simplified the constructions, removed the final two sections (which did not fit well with the rest)

Subjects: Combinatorics (math.CO); Metric Geometry (math.MG); Machine Learning (stat.ML)

[1821] arXiv:1412.6633 [pdf, other]

Title: On a perturbation determinant for accumulative operators

Konstantin A. Makarov, Anna Skripka, Maxim Zinchenko

Comments: 15 pages

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

[1822] arXiv:1412.6635 [pdf, other]

Title: The total external length of the evolving Kingman coalescent

Iulia Dahmer, Götz Kersting

Comments: 37 pages, 3 figures

Subjects: Probability (math.PR)

[1823] arXiv:1412.6639 [pdf, other]

Title: A geometric Hall-type theorem

Andreas Holmsen, Leonardo Martinez-Sandoval, Luis Montejano

Journal-ref: Proceedings of the American Mathematical Society, 144: 503-511, 2016

Subjects: Combinatorics (math.CO)

[1824] arXiv:1412.6642 [pdf, other]

Title: Universal spectral correlations in ensembles of random normal matrices

Ravi Prakash, Akhilesh Pandey

Comments: 16 pages, 6 figures

Journal-ref: EPL 110, 30001 (2015)

Subjects: Mathematical Physics (math-ph)

[1825] arXiv:1412.6643 [pdf, other]

Title: Localized concentration of semi-classical states for nonlinear Dirac equations

Yanheng Ding, Tian Xu

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

[1826] arXiv:1412.6646 [pdf, other]

Title: Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs

Ulrich Bauer, Elizabeth Munch, Yusu Wang

Journal-ref: 31st International Symposium on Computational Geometry (SoCG 2015), LIPIcs 34 (2015), 461-475

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

[1827] arXiv:1412.6653 [pdf, other]

Title: Asymptotic geometry of discrete interlaced patterns: Part I

Erik Duse, Anthony Metcalfe

Comments: 62 pages, 15 figures

Subjects: Probability (math.PR)

[1828] arXiv:1412.6657 [pdf, other]

Title: Topological dynamics of automorphism group of countably categorical structures

Aleksander Ivanov

Comments: 17 pages

Subjects: Logic (math.LO)

[1829] arXiv:1412.6658 [pdf, other]

Title: Three competing patterns

Rita Abraham, Jan Vrbik

Subjects: Probability (math.PR)

[1830] arXiv:1412.6659 [pdf, other]

Title: On isometry and isometric embeddability between ultrametric Polish spaces

Riccardo Camerlo, Alberto Marcone, Luca Motto Ros

Comments: Minor imprecisions corrected. Following the suggestion of the anonymous referee, the former Section 7 concerning arbitrary Polish spaces with fixed set of distances has been left out and will be posted as a separate paper soon. The title is changed as well to reflect this modification

Journal-ref: Advances in Mathematics 329 (2018) 1231-1284

Subjects: Logic (math.LO)

[1831] arXiv:1412.6660 [pdf, other]

Title: Duality for generic algebras

Anders Kock

Subjects: Category Theory (math.CT)

[1832] arXiv:1412.6662 [pdf, other]

Title: The conjugacy problem for positive homogeneously presented monoids

Tadashi Ishibe

Comments: arXiv admin note: text overlap with arXiv:1302.6230

Subjects: Group Theory (math.GR)

[1833] arXiv:1412.6667 [pdf, other]

Title: Stability and Resolution Analysis of Topological Derivative Based Localization of Small Electromagnetic Inclusions

Abdul Wahab

Comments: 30 pages

Subjects: Optimization and Control (math.OC)

[1834] arXiv:1412.6669 [pdf, other]

Title: Differential smoothness of affine Hopf algebras of Gelfand-Kirillov dimension two

Tomasz Brzeziński

Comments: 8 pages

Subjects: Rings and Algebras (math.RA)

[1835] arXiv:1412.6676 [pdf, other]

Title: On the Richter-Thomassen Conjecture about Pairwise Intersecting Closed Curves

János Pach, Natan Rubin, Gábor Tardos

Comments: To appear in SODA 2015

Subjects: Combinatorics (math.CO); Computational Geometry (cs.CG)

[1836] arXiv:1412.6677 [pdf, other]

Title: System Architecture and Key Technologies for 5G Heterogeneous Cloud Radio Access Networks

Mugen Peng, Yong Li, Zhongyuan Zhao, Chonggang Wang

Comments: 20mpages, 6 figures, accepted by IEEE Network magazine

Subjects: Information Theory (cs.IT); Networking and Internet Architecture (cs.NI)

[1837] arXiv:1412.6678 [pdf, other]

Title: Algorithms and error bounds for noisy phase retrieval with low-redundancy frames

Bernhard G. Bodmann, Nathaniel Hammen

Comments: 20 pages, 2 figures, AMSLaTeX

Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA); Numerical Analysis (math.NA)

[1838] arXiv:1412.6680 [pdf, other]

Title: Network Coded Multi-Hop Wireless Communication Networks: Channel Estimation and Training Design

Mugen Peng, Qiang Hu, Xinqian Xie, Zhongyuan Zhao, H. Vincent Poor

Comments: 14 pages, 11 figures, accepted by IEEE JSAC

Subjects: Information Theory (cs.IT)

[1839] arXiv:1412.6682 [pdf, other]

Title: PAPR Reduction Scheme In MIMO-OFDM Systems With Efficient Embedded Signaling

Mouna Sghaier, Fatma Abdelkefi, Mohamed Siala

Comments: This paper has been withdrawn by the author due to loss of informations

Subjects: Information Theory (cs.IT)

[1840] arXiv:1412.6690 [pdf, other]

Title: 4-Dimensional Power Geometry and its Application to $P_1$ -- $P_5$

Anastasia Parusnikova

Subjects: Classical Analysis and ODEs (math.CA)

[1841] arXiv:1412.6697 [pdf, other]

Title: Model selection for the segmentation of multiparameter exponential family distributions

Alice Cleynen, Emilie Lebarbier

Subjects: Statistics Theory (math.ST)

[1842] arXiv:1412.6699 [pdf, other]

Title: Suppressing Alignment: Joint PAPR and Out-of-Band Power Leakage Reduction for OFDM-Based Systems

Anas Tom, Alphan Sahin, Huseyin Arslan

Comments: Accepted, Journal-ref: IEEE Transactions on Communications, vol. 64, no. 3, 1100 - 1109, 2015

Subjects: Information Theory (cs.IT)

[1843] arXiv:1412.6700 [pdf, other]

Title: On Shift Harnack Inequalities for Subordinate Semigroups and Moment Estimates for L\'evy Processes

Chang-Song Deng, René L. Schilling

Comments: to appear in Stochastic Process. Appl

Subjects: Probability (math.PR); Functional Analysis (math.FA)

[1844] arXiv:1412.6702 [pdf, other]

Title: Special Reduced Multiplets and Minimal Representations for SO(p,q)

V.K. Dobrev

Comments: 26 pages, 11 figures, to appear in the Proceedings of the X International Workshop "Lie Theory and Its Applications in Physics}, (Varna, Bulgaria, June 2013), "Springer Proceedings in Mathematics and Statistics", Vol. 111

Subjects: Representation Theory (math.RT)

[1845] arXiv:1412.6713 [pdf, other]

Title: A generalization of Poletsky's classical theorem and a characterization of thinness of a subset in $\C^n$

Ibrahim K. Djire

Subjects: Complex Variables (math.CV)

[1846] arXiv:1412.6714 [pdf, other]

Title: A univalent universe in finite order arithmetic

Colin McLarty

Comments: This version makes some response to Steve Awodey's comment that the coherence problem was not handled in the first version

Subjects: Logic (math.LO)

[1847] arXiv:1412.6720 [pdf, other]

Title: Off-grid DOA Estimation Based on Analysis of the Convexity of Maximum Likelihood Function

Liang Liu, Ping Wei

Comments: 10 pages, 6 figures, 1 table. arXiv admin note: text overlap with arXiv:1108.5838 by other authors

Subjects: Information Theory (cs.IT)

[1848] arXiv:1412.6724 [pdf, other]

Title: Performance of Compressive Parameter Estimation via K-Median Clustering

Dian Mo, Marco F. Duarte

Comments: 41 pages, 8 figures; revision includes additional discussions and experiment

Subjects: Information Theory (cs.IT)

[1849] arXiv:1412.6725 [pdf, other]

Title: $\R^{n} \rtimes G(n)$ is Algebraically Determined

We'am M. Al-Tameemi, Robert R. Kallman

Comments: 17 pages

Subjects: General Topology (math.GN); Group Theory (math.GR)

[1850] arXiv:1412.6730 [pdf, other]

Title: Convergence of Nonlinear Observers on R^n with a Riemannian Metric (Part I)

Ricardo G. Sanfelice, Laurent Praly

Comments: 30 pages, Version published in IEEE Transactions in Automatic Control, 2012

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Differential Geometry (math.DG)