Mathematics

Authors and titles for September 2014

[1801] arXiv:1409.6149 [pdf, other]

Title: On a vertex-minimal triangulation of $\mathbb{R}P^4$

Sonia Balagopalan

Comments: 19 pages, 7 figures. Comments very welcome. v2: Minor edits and corrections. Expanded subection 2.1

Subjects: Combinatorics (math.CO); Geometric Topology (math.GT)

[1802] arXiv:1409.6150 [pdf, other]

Title: Shaping Pulses to Control Bistable Biological Systems

Aivar Sootla, Diego Oyarzun, David Angeli, Guy-Bart Stan

Comments: 14 pages, contains material from the paper in Proc Amer Control Conf 2015, (pp. 3138-3143) and "Shaping pulses to control bistable systems analysis, computation and counterexamples", which is due to appear in Automatica

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Quantitative Methods (q-bio.QM)

[1803] arXiv:1409.6157 [pdf, other]

Title: Construction and Composition of Rooted Trees via Descent Functions

Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru

Journal-ref: Algebra, Volume 2013 (2013), Article ID 543913, 11 pages

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[1804] arXiv:1409.6159 [pdf, other]

Title: Periodic representations and rational approximations of square roots

Marco Abrate, Stefano Barbero, Umberto Cerruti, Nadir Murru

Journal-ref: Journal of Approximation Theory, Volume 175,November 2013, Pages 83-90

Subjects: Number Theory (math.NT)

[1805] arXiv:1409.6165 [pdf, other]

Title: More on the bipartite decomposition of random graphs

Noga Alon, Tom Bohman, Hao Huang

Subjects: Combinatorics (math.CO)

[1806] arXiv:1409.6168 [pdf, other]

Title: Continuity properties of a factor of Markov chains

Walter A. F. de Carvalho, Sandro Gallo, Nancy L. Garcia

Subjects: Probability (math.PR)

[1807] arXiv:1409.6176 [pdf, other]

Title: Fitting centroids by a projective transformation

Ivan Izmestiev

Comments: 33 pages, 13 figures

Subjects: Metric Geometry (math.MG)

[1808] arXiv:1409.6180 [pdf, other]

Title: Maximal subalgebras and chief factors of Lie algebras

David A. Towers

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR); Representation Theory (math.RT)

[1809] arXiv:1409.6181 [pdf, other]

Title: On an arithmetic inequality on $\mathbb{P}^1_{\mathbb{Q}}$

Mounir Hajli

Comments: Accepted for publication in IJNT

Subjects: Algebraic Geometry (math.AG); Number Theory (math.NT)

[1810] arXiv:1409.6186 [pdf, other]

Title: Worst singularities of plane curves of given degree

Ivan Cheltsov

Comments: 25 pages. Many typos removed. Introduction is shortened. Appendix removed. Few references removed

Subjects: Algebraic Geometry (math.AG)

[1811] arXiv:1409.6188 [pdf, other]

Title: Lower bounds on the smallest eigenvalue of a sample covariance matrix

Pavel Yaskov

Journal-ref: Electronic Communications in Probability, Vol. 19, No. 83, pp. 1-10 (2014)

Subjects: Probability (math.PR)

[1812] arXiv:1409.6192 [pdf, other]

Title: A mean-field monomer-dimer model with random monomer activities. Exact solution and rigorous results

Diego Alberici, Pierluigi Contucci, Emanuele Mingione

Comments: 20 pages

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR)

[1813] arXiv:1409.6194 [pdf, other]

Title: On cohomology theory of (di)graphs

An Huang, Shing-Tung Yau

Comments: 17 pages

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

[1814] arXiv:1409.6195 [pdf, other]

Title: Differentiable mappings between weighted restricted products

Boris Walter

Subjects: Functional Analysis (math.FA)

[1815] arXiv:1409.6200 [pdf, other]

Title: Diffusion limits at small times for coalescents with a Kingman component

Vlada Limic, Anna Talarczyk

Comments: 24 pages, revision of the preprint submitted in version 1, the title of the article has changed but its contents only slightly (most importantly in Section 3.4)

Subjects: Probability (math.PR)

[1816] arXiv:1409.6201 [pdf, other]

Title: On the generalized Lebedev index transform

Semyon Yakubovich

Subjects: Classical Analysis and ODEs (math.CA)

[1817] arXiv:1409.6208 [pdf, other]

Title: Model Theory and the mean ergodic theorem for abelian unitary actions

Eduardo Dueñez, José Iovino

Comments: 14 pp

Subjects: Logic (math.LO); Dynamical Systems (math.DS)

[1818] arXiv:1409.6213 [pdf, other]

Title: Three dimensional thermal-solute phase field simulation of binary alloy solidification

P.C. Bollada, C.E. Goodyer, P.K. Jimack, A.M.Mullis, F.W. Yang

Subjects: Mathematical Physics (math-ph)

[1819] arXiv:1409.6215 [pdf, other]

Title: Tropical Effective Primary and Dual Nullstellens\"atze

Dima Grigoriev, Vladimir V. Podolskii

Subjects: Algebraic Geometry (math.AG); Symbolic Computation (cs.SC)

[1820] arXiv:1409.6220 [pdf, other]

Title: Dual two-state mean-field games

Diogo A. Gomes, Roberto M. Velho, Marie-Therese Wolfram

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

[1821] arXiv:1409.6224 [pdf, other]

Title: Counting rational points on smooth cubic surfaces

Christopher Frei, Efthymios Sofos

Comments: 11 pages, minor revision

Subjects: Number Theory (math.NT); Algebraic Geometry (math.AG)

[1822] arXiv:1409.6227 [pdf, other]

Title: Higgledy-piggledy subspaces and uniform subspace designs

Szabolcs L. Fancsali, Péter Sziklai

Comments: 27 pages. Submitted to Designs Codes and Cryptography

Subjects: Combinatorics (math.CO)

[1823] arXiv:1409.6229 [pdf, other]

Title: Inverse scattering at fixed energy on asymptotically hyperbolic Liouville surfaces

Thierry Daudé, Niky Kamran, François Nicoleau (LMJL)

Comments: 39 pp

Subjects: Mathematical Physics (math-ph)

[1824] arXiv:1409.6230 [pdf, other]

Title: L1-optimal linear programming estimatorfor periodic frontier functions with Holder continuous derivative

Alexander Nazin (ICS), Stephane Girard (INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann)

Comments: arXiv admin note: text overlap with arXiv:1103.5913

Subjects: Statistics Theory (math.ST)

[1825] arXiv:1409.6233 [pdf, other]

Title: Robust feedback switching control: dynamic programming and viscosity solutions

Erhan Bayraktar, Andrea Cosso (LPMA), Huyen Pham (LPMA, CREST)

Comments: to appear on SIAM Journal on Control and Optimization

Subjects: Probability (math.PR)

[1826] arXiv:1409.6236 [pdf, other]

Title: Heegaard Floer groups of Dehn surgeries

Stanislav Jabuka

Comments: 23 pages, 7 figures

Subjects: Geometric Topology (math.GT)

[1827] arXiv:1409.6240 [pdf, other]

Title: A Correction Note: Attractive Nearest Neighbor Spin Systems on the Integers

Jeffrey Lin

Subjects: Probability (math.PR)

[1828] arXiv:1409.6243 [pdf, other]

Title: Torus knots and quantum modular forms

Kazuhiro Hikami, Jeremy Lovejoy

Comments: 16 pages

Subjects: Number Theory (math.NT); Quantum Algebra (math.QA)

[1829] arXiv:1409.6245 [pdf, other]

Title: Analysis of Transition State Theory Rates upon Spatial Coarse-Graining

Andrew Binder, Mitchell Luskin, Danny Perez, Arthur F. Voter

Comments: 25 pages, 7 figures

Subjects: Numerical Analysis (math.NA)

[1830] arXiv:1409.6246 [pdf, other]

Title: Spinorially twisted Spin structures, I: curvature identities and eigenvalue estimates

Malors Espinosa, Rafael Herrera

Comments: We have corrected typos and simplified/shortened the preliminaries section

Journal-ref: Differential Geometry and its Applications, Volume 46, June 2016, Pages 79-107

Subjects: Differential Geometry (math.DG)

[1831] arXiv:1409.6252 [pdf, other]

Title: Functions of multivector variables

James M. Chappell, Azhar Iqbal, Lachlan J. Gunn, Derek Abbott

Comments: 21 pages, 0 figures

Subjects: Rings and Algebras (math.RA); Mathematical Physics (math-ph)

[1832] arXiv:1409.6254 [pdf, other]

Title: Hearts of t-structures in the derived category of a commutative Noetherian ring

Carlos E. Parra, Manuel Saorín

Comments: This version is a modification of the previous one following the suggestions of the referee

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

[1833] arXiv:1409.6255 [pdf, other]

Title: Martingale Inequalities for the Maximum via Pathwise Arguments

Jan Obloj, Peter Spoida, Nizar Touzi

Subjects: Probability (math.PR)

[1834] arXiv:1409.6258 [pdf, other]

Title: Weierstrass weight of the hyperosculating points of generalized Fermat curves

Rubén A. Hidalgo, Maximiliano Leyton-Álvarez

Subjects: Algebraic Geometry (math.AG)

[1835] arXiv:1409.6259 [pdf, other]

Title: Characterizations of Uniform Hyperbolicity and Spectra of CMV Matrices

David Damanik (Rice University), Jake Fillman (Rice University), Milivoje Lukic (University of Toronto and Rice University), William Yessen (Rice University)

Comments: 15 pages; based on the appendices of arXiv:1404.7065, which were removed in passing from arXiv:1404.7065v1 to arXiv:1404.7065v2, the latter being the version accepted for publication in IMRN

Journal-ref: Discrete Contin. Dyn. Syst. S 9 (2016), 1009-1023

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

[1836] arXiv:1409.6261 [pdf, other]

Title: Additional congruence conditions on the number of terms in sums of consecutive squared integers equal to squared integers

Vladimir Pletser

Subjects: History and Overview (math.HO); Number Theory (math.NT)

[1837] arXiv:1409.6263 [pdf, other]

Title: Birational geometry of the moduli space of rank 2 parabolic vector bundles on a rational curve

Han-Bom Moon, Sang-Bum Yoo

Comments: 22 pages, Revised, Published version in International Mathematics Research Notices (2015)

Subjects: Algebraic Geometry (math.AG)

[1838] arXiv:1409.6264 [pdf, other]

Title: Notes on Symmetric Bases

Michael Farinton Challis

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[1839] arXiv:1409.6266 [pdf, other]

Title: Notes on "Symmetric Bases with large 2-range"

Michael Farinton Challis

Subjects: Number Theory (math.NT); Combinatorics (math.CO)

[1840] arXiv:1409.6269 [pdf, other]

Title: Crosscut-simplicial Lattices

Thomas McConville

Comments: 15 pages

Journal-ref: ORDER (2016)

Subjects: Combinatorics (math.CO)

[1841] arXiv:1409.6271 [pdf, other]

Title: Odd values of the Klein j-function and the cubic partition function

Fabrizio Zanello

Comments: A few minor revisions in response to the referees' comments. To appear in the J. of Number Theory

Journal-ref: J. Number Theory 151 (2015), 107--115

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

[1842] arXiv:1409.6274 [pdf, other]

Title: On an approximate functional equation involving the divisor function

Anne-Maria Ernvall-Hytönen

Subjects: Number Theory (math.NT)

[1843] arXiv:1409.6275 [pdf, other]

Title: The Enumerative Geometry of Hyperplane Arrangements

Thomas Paul, Will Traves, Max Wakefield

Comments: 25 pages, 5 figures

Subjects: Algebraic Geometry (math.AG); Combinatorics (math.CO)

[1844] arXiv:1409.6276 [pdf, other]

Title: Concentration Inequalities from Likelihood Ratio Method

Xinjia Chen

Comments: 43 pages, no figure

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

[1845] arXiv:1409.6278 [pdf, other]

Title: Estimating the number of Reeb chords using a linear representation of the characteristic algebra

Georgios Dimitroglou Rizell, Roman Golovko

Comments: 28 pages, 6 figures. Final version. (Typos have been corrected.)

Journal-ref: Algebr. Geom. Topol. 15 (2015) 2887-2920

Subjects: Symplectic Geometry (math.SG)

[1846] arXiv:1409.6280 [pdf, other]

Title: An identity connecting theta series associated with binary quadratic forms of discriminant $\Delta$ and $\Delta($prime$)^2$

Frank Patane

Subjects: Number Theory (math.NT)

[1847] arXiv:1409.6282 [pdf, other]

Title: Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras

Guangzhe Fan, Chenhong Zhou, Xiaoqing Yue

Comments: 16 pages. arXiv admin note: text overlap with arXiv:1404.3279 by other authors

Subjects: Rings and Algebras (math.RA); Quantum Algebra (math.QA)

[1848] arXiv:1409.6284 [pdf, other]

Title: The second eigenvalue of the fractional $p-$Laplacian

Lorenzo Brasco, Enea Parini

Comments: 38 pages. The test function used in the proof of Theorem 3.1 needed to be slightly modified, in order to be admissible for $1<p<2$. We fixed this issue

Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA)

[1849] arXiv:1409.6286 [pdf, other]

Title: A virtual fundamental class construction for the moduli space of torus equivariant morphisms

Andrei Mustata

Subjects: Algebraic Geometry (math.AG)

[1850] arXiv:1409.6289 [pdf, other]

Title: Functional calculus and joint torsion of pairs of almost commuting operators

Joseph Migler

Comments: 27 pages

Subjects: K-Theory and Homology (math.KT); Operator Algebras (math.OA)