Mathematics

Authors and titles for July 2013

[1051] arXiv:1307.3649 [pdf, other]

Title: The remainders of the Euclidean algorithm with symmetric quotients

Barry R. Smith

Comments: 6 pages

Subjects: Number Theory (math.NT)

[1052] arXiv:1307.3654 [pdf, other]

Title: Partially complete sufficient statistics are jointly complete

Abram M. Kagan, Yaakov Malinovsky, Lutz Mattner

Comments: 16 pages. Very minor changes (one more reference, abstract slightly longer). To appear in Teoriya Veroyatnostei i ee Primeneniya

Subjects: Statistics Theory (math.ST)

[1053] arXiv:1307.3656 [pdf, other]

Title: Optimal Transport and Skorokhod Embedding

Mathias Beiglboeck, Alexander M. G. Cox, Martin Huesmann

Comments: Substantial revision to improve the readability of the paper

Subjects: Probability (math.PR); Optimization and Control (math.OC)

[1054] arXiv:1307.3657 [pdf, other]

Title: Relative Homology and Gorenstein Flat Dimension

Sean Sather-Wagstaff, Tirdad Sharif, Diana White

Comments: 19 pages, v.2 adds coauthor

Subjects: Commutative Algebra (math.AC)

[1055] arXiv:1307.3660 [pdf, other]

Title: From locally conformally K\"ahler to bi-Hermitian structures on non-K\"ahler complex surfaces

Vestislav Apostolov, Michael Bailey, Georges Dloussky

Comments: minor revision, final version

Subjects: Differential Geometry (math.DG)

[1056] arXiv:1307.3661 [pdf, other]

Title: Actions with globally hypoelliptic leafwise Laplacian and rigidity

Danijela Damjanovic

Subjects: Dynamical Systems (math.DS)

[1057] arXiv:1307.3662 [pdf, other]

Title: On the well-posedness of the Cauchy problem for Fokker--Planck--Kolmogorov equations with potential terms on arbitrary domains

Oxana A. Manita, Stanislav V. Shaposhnikov

Subjects: Analysis of PDEs (math.AP)

[1058] arXiv:1307.3663 [pdf, other]

Title: On the dimension of Z-sets

Craig R. Guilbault, Carrie J. Tirel

Comments: 4 pages, no figures

Subjects: Geometric Topology (math.GT)

[1059] arXiv:1307.3666 [pdf, other]

Title: The existence and singularity structure of low regularity solutions of higher-order degenerate hyperbolic equations

Zhuoping Ruan (Nanjing University), Ingo Witt (University of Göttingen), Huicheng Yin (Nanjing University)

Comments: 37 pages, 6 figures

Subjects: Analysis of PDEs (math.AP)

[1060] arXiv:1307.3667 [pdf, other]

Title: Logics of formal inconsistency arising from systems of fuzzy logic

Marcelo Coniglio, Francesc Esteva, Lluís Godo

Comments: Revised and improved final version. 33 pages, 3 figures

Journal-ref: Logic Journal of the IGPL 22(6):880-904, 2014

Subjects: Logic (math.LO); Artificial Intelligence (cs.AI); Logic in Computer Science (cs.LO)

[1061] arXiv:1307.3669 [pdf, other]

Title: Robert de Montessus de Ballore's 1902 theorem on algebraic continued fractions : genesis and circulation

Hervé Le Ferrand

Subjects: History and Overview (math.HO)

[1062] arXiv:1307.3678 [pdf, other]

Title: Three revolutions in the kernel are worse than one

Benjamin Jaye, Fedor Nazarov

Comments: 13 pages, 2 figures

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

[1063] arXiv:1307.3681 [pdf, other]

Title: Metric Estimates and Membership Complexity for Archimedean Amoebae and Tropical Hypersurfaces

Martin Avendano, Roman Kogan, Mounir Nisse, J. Maurice Rojas

Comments: 21 pages, 5 figures. This version adds a new family of examples showing the optimality of another one of our univariate bounds, and contains a brief comparison with work of Akian, Gaubert, and Sharify on the matrix polynomial problem. Various typos corrected as well

Subjects: Algebraic Geometry (math.AG); Computational Complexity (cs.CC)

[1064] arXiv:1307.3683 [pdf, other]

Title: Exponential divisor functions

Andrew V. Lelechenko

Comments: 13 pages

Journal-ref: Siauliai Math. Semin., 2015, vol. 10 (18), p. 181-197

Subjects: Number Theory (math.NT)

[1065] arXiv:1307.3685 [pdf, other]

Title: Covering stability of Bergman kernels on K\"ahler hyperbolic manifolds

Xu Wang

Comments: 29 pages

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

[1066] arXiv:1307.3688 [pdf, other]

Title: Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas

Lili Fan, Akitaka Matsumura

Subjects: Analysis of PDEs (math.AP)

[1067] arXiv:1307.3693 [pdf, other]

Title: Minimum vertex degree threshold for loose Hamilton cycles in 3-uniform hypergraphs

Jie Han, Yi Zhao

Comments: 23 pages, 1 figure, Accepted for publication in JCTB

Subjects: Combinatorics (math.CO)

[1068] arXiv:1307.3695 [pdf, other]

Title: On the solvability of linear singular functional differential equations

Eugene Bravyi

Subjects: Classical Analysis and ODEs (math.CA)

[1069] arXiv:1307.3698 [pdf, other]

Title: Density of states for GUE, GOE, and interpolating ensembles through supersymmetric approach

Mira Shamis

Comments: 22 pp. Added interpolating ensembles of Mehta--Pandey. To appear in J. Math. Phys. Fixed 2 typos

Subjects: Mathematical Physics (math-ph); Probability (math.PR)

[1070] arXiv:1307.3701 [pdf, other]

Title: Exploiting Spatial Interference Alignment and Opportunistic Scheduling in the Downlink of Interference Limited Systems

Kiran Kuchi

Subjects: Information Theory (cs.IT)

[1071] arXiv:1307.3702 [pdf, other]

Title: The existence of solutions of 2-dimensional incompressible Navier-Stokes equations with surface tension in an optimal Sobolev space

C.H. Arthur Cheng, Ying-Chieh Lin, Cheng-Fang Su

Subjects: Analysis of PDEs (math.AP)

[1072] arXiv:1307.3714 [pdf, other]

Title: A generalized Hermite constant and its computations for imaginary quadratic fields

Wai Kiu Chan, Maria Ines Icaza, Emilio A. Lauret

Comments: Accepted for publication in Mathematics of Computation

Journal-ref: Mathematics of Computation 84 (2015), 1883-1900

Subjects: Number Theory (math.NT)

[1073] arXiv:1307.3715 [pdf, other]

Title: Large System Analysis of Cooperative Multi-cell Downlink Transmission via Regularized Channel Inversion with Imperfect CSIT

Jun Zhang, Chao-Kai Wen, Shi Jin, Xiqi Gao, Kai-Kit Wong

Comments: 13 pages, 9 figures, IEEE Transactions on Wireless Communications

Subjects: Information Theory (cs.IT)

[1074] arXiv:1307.3716 [pdf, other]

Title: Generalizations of Bounds on the Index of Convergence to Weighted Digraphs

Glenn Merlet, Thomas Nowak, Hans Schneider, Serge\uı Sergeev

Comments: 17 pages, 3 figures

Subjects: Combinatorics (math.CO)

[1075] arXiv:1307.3718 [pdf, other]

Title: Nonsymmetric Generalized Jacobi Petrov-Galerkin Algorithms for Third- and Fifth-Order two Point Boundary Value Problems

E.H. Doha, W.M. Abd-Elhameed, Y.H. Youssri

Journal-ref: Journal of Advanced Research 6 (5), 673-686, (2015)

Subjects: Numerical Analysis (math.NA)

[1076] arXiv:1307.3723 [pdf, other]

Title: A note on certain ergodicity coefficients

Francesco Tudisco

Journal-ref: Special Matrices 3(2015), pp. 175-185

Subjects: Numerical Analysis (math.NA)

[1077] arXiv:1307.3724 [pdf, other]

Title: Limiting Performance of Conventional and Widely Linear DFT-precoded-OFDM Receivers in Wideband Frequency Selective Channels

Kiran Kuchi

Subjects: Information Theory (cs.IT)

[1078] arXiv:1307.3725 [pdf, other]

Title: Algebraic independence of the Carlitz period and the positive characteristic multizeta values at n and (n,n)

Yoshinori Mishiba

Comments: 11 pages

Subjects: Number Theory (math.NT)

[1079] arXiv:1307.3728 [pdf, other]

Title: Moment map flows and the Hecke correspondence for quivers

Graeme Wilkin

Comments: 55 pages. Major revision to incorporate the construction of the unstable sets based on arxiv://1605.05970

Subjects: Differential Geometry (math.DG); Symplectic Geometry (math.SG)

[1080] arXiv:1307.3730 [pdf, other]

Title: Consistency, efficiency and robustness of conditional disparity methods

Giles Hooker

Comments: Published at this http URL in the Bernoulli (this http URL) by the International Statistical Institute/Bernoulli Society (this http URL)

Journal-ref: Bernoulli 2016, Vol. 22, No. 2, 857-900

Subjects: Statistics Theory (math.ST)

[1081] arXiv:1307.3731 [pdf, other]

Title: Chang's Conjecture, The Weak Reflection Principle and the Tree Property at $\omega_2$

Victor Torres-Perez, Liuzhen Wu

Comments: We prove indeed that $\mathrm{CC}^*+\lnot\mathrm{CH}$ imply the Tree Property for $ω_2$ holds ($\mathrm{TP}(ω_2)$). However, there was an error in our claim. It is not true that $\mathrm{CC}^*$ is equivalent to the Weak Reflection Principle at $ω_2$ ($\mathrm{WRP}(ω_2)$). The question if $\mathrm{WRP}(ω_2)+\lnot\mathrm{CH}\rightarrow \mathrm{TP}(ω_2)$ remains open

Subjects: Logic (math.LO)

[1082] arXiv:1307.3733 [pdf, other]

Title: Large scale rank of Teichmuller space

Alex Eskin, Howard Masur, Kasra Rafi

Comments: Some corrections have been made. Also, the coarse differentiation statement has been modified to state that a quasi-Lipschitz map is "differentiable almost everywhere"

Journal-ref: Duke Math. J. 166, no. 8 (2017), 1517-1572

Subjects: Geometric Topology (math.GT)

[1083] arXiv:1307.3735 [pdf, other]

Title: An affine Fourier restriction theorem for conical surfaces

Jonathan Hickman

Comments: Revised edition to appear in Mathematika. 18 Pages

Journal-ref: Mathematika 60 (2014) 374-390

Subjects: Classical Analysis and ODEs (math.CA)

[1084] arXiv:1307.3740 [pdf, other]

Title: One-Dimensional Tunnel-Junction Formula for Schrodinger Particle

Masao Hirokawa, Takuya Kosaka

Comments: 14 pages; 2 figures

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Quantum Physics (quant-ph)

[1085] arXiv:1307.3741 [pdf, other]

Title: On a question of Babadi and Tarokh

Jing Xia, Maosheng Xiong

Subjects: Number Theory (math.NT); Information Theory (cs.IT)

[1086] arXiv:1307.3743 [pdf, other]

Title: The module category weight of compact exceptional Lie groups

Younggi Choi

Subjects: Algebraic Topology (math.AT)

[1087] arXiv:1307.3747 [pdf, other]

Title: Integral points for Drinfeld modules

Dragos Ghioca

Subjects: Number Theory (math.NT)

[1088] arXiv:1307.3748 [pdf, other]

Title: A Bogomolov type statement for function fields

Dragos Ghioca

Subjects: Number Theory (math.NT)

[1089] arXiv:1307.3749 [pdf, other]

Title: On the Quasi-linear Reflected Backward Stochastic Partial Differential Equations

Jinniao Qiu, Wenning Wei

Comments: 39 pages

Subjects: Analysis of PDEs (math.AP)

[1090] arXiv:1307.3750 [pdf, html, other]

Title: Combinatorial data of a free arrangement and the Terao conjecture

Tran Quoc Cong

Subjects: Combinatorics (math.CO)

[1091] arXiv:1307.3751 [pdf, other]

Title: Optimal Dispatch of Photovoltaic Inverters in Residential Distribution Systems

Emiliano Dall'Anese, Sairaj V. Dhople, Georgios B. Giannakis

Subjects: Optimization and Control (math.OC)

[1092] arXiv:1307.3752 [pdf, other]

Title: Generally rational polynomials in two variables

Daniel Daigle

Comments: 17 pages

Subjects: Algebraic Geometry (math.AG)

[1093] arXiv:1307.3758 [pdf, other]

Title: Complex symmetric composition operators

S. Waleed Noor

Comments: The conclusion of Theorem 5.2 is false. The orthogonal decomposition towards the end of the proof is erroneous

Subjects: Functional Analysis (math.FA)

[1094] arXiv:1307.3761 [pdf, other]

Title: Values of pairs involving one quadratic and one linear form at S-integral points

Youssef Lazar

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[1095] arXiv:1307.3763 [pdf, other]

Title: The weak ordinarity conjecture and $F$-singularities

Bhargav Bhatt, Karl Schwede, Shunsuke Takagi

Comments: v3, the proof of Lemma 3.9, step (2) was incorrect, this version corrects the error. The statement of Lemma 3.9 is unchanged. Remark 3.10 is added which explains the issue

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[1096] arXiv:1307.3775 [pdf, other]

Title: Levi-Civita's Theorem for Noncommutative Tori

Jonathan Rosenberg

Comments: Proposition 3.4 corrected

Journal-ref: SIGMA 9 (2013), 071, 9 pages

Subjects: Operator Algebras (math.OA); Differential Geometry (math.DG)

[1097] arXiv:1307.3780 [pdf, other]

Title: On the Convergence Speed of Spatially Coupled LDPC Ensembles

Vahid Aref, Laurent Schmalen, Stephan ten Brink

Comments: 11 pages, 6 figures

Subjects: Information Theory (cs.IT)

[1098] arXiv:1307.3788 [pdf, other]

Title: On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue

Vincenzo Ferone, Carlo Nitsch, Cristina Trombetti

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

[1099] arXiv:1307.3796 [pdf, other]

Title: Self-Interference Cancellation with Nonlinear Distortion Suppression for Full-Duplex Systems

Elsayed Ahmed, Ahmed M. Eltawil, Ashutosh Sabharwal

Comments: To be presented in Asilomar Conference on Signals, Systems & Computers (November 2013)

Subjects: Information Theory (cs.IT)

[1100] arXiv:1307.3802 [pdf, other]

Title: Probability Distinguishes Different Types of Conditional Statements

Joseph W. Norman

Comments: Fixed a few typographical errors

Subjects: Logic (math.LO); Artificial Intelligence (cs.AI); Probability (math.PR)