Mathematics

Authors and titles for March 2014

[1301] arXiv:1403.4198 [pdf, other]

Title: Finite-Horizon Parameterizing Manifolds, and Applications to Suboptimal Control of Nonlinear Parabolic PDEs

Mickaël D. Chekroun, Honghu Liu

Comments: 58 pages; 10 figures. Complementary results to this work can be found here: this http URL

Journal-ref: Acta Applicandae Mathematicae, 09/26, 2014

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

[1302] arXiv:1403.4200 [pdf, other]

Title: A family of quotients of the Rees algebra

Valentina Barucci, Marco D'Anna, Francesco Strazzanti

Comments: 17 pages. To appear on "Communications in Algebra"

Subjects: Commutative Algebra (math.AC)

[1303] arXiv:1403.4201 [pdf, other]

Title: Graded polynomial identities and central polynomials of matrices over an infinite integral domain

Luís Felipe Gonçalves Fonseca

Comments: 16 pages. Submitted to RCMP

Subjects: Rings and Algebras (math.RA)

[1304] arXiv:1403.4203 [pdf, other]

Title: Riemann problems with non--local point constraints and capacity drop

Boris Andreianov (LM-Besançon), Carlotta Donadello (LM-Besançon), Ulrich Razafison (LM-Besançon), Massimiliano D. Rosini

Comments: 19 pages, 6 figures. arXiv admin note: substantial text overlap with arXiv:1304.6282

Subjects: Analysis of PDEs (math.AP)

[1305] arXiv:1403.4205 [pdf, other]

Title: G\'en\'eralisations Quantitatives du Crit\'ere D'ind\'ependance Lin\'eaire De Nesterenko

Simon Dauguet (LM-Orsay)

Subjects: Number Theory (math.NT)

[1306] arXiv:1403.4210 [pdf, other]

Title: K\"ahler manifolds of semi-negative holomorphic sectional curvature

Gordon Heier, Steven S. Y. Lu, Bun Wong

Comments: to appear in the Journal of Differential Geometry

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

[1307] arXiv:1403.4217 [pdf, other]

Title: Socio-economic applications of finite state mean field games

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

Comments: 18 pages, 7 figures

Subjects: Analysis of PDEs (math.AP)

[1308] arXiv:1403.4220 [pdf, other]

Title: The Jenkins-Serrin problem for constant mean curvature graphs in the Heisenberg space $\mathbf{Nil_3}(\tau)$

Carlos Penafiel

Subjects: Differential Geometry (math.DG)

[1309] arXiv:1403.4221 [pdf, other]

Title: On bundles that admit fiberwise hyperbolic dynamics

F. Thomas Farrell, Andrey Gogolev

Comments: 33 pages, 1 figure. We made many presentation improvements in the second version. An overview section was added

Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG); Geometric Topology (math.GT)

[1310] arXiv:1403.4229 [pdf, other]

Title: Infinite Systems of Competing Brownian Particles

Andrey Sarantsev

Comments: 37 pages. Keywords: Reflected Brownian motion, competing Brownian particles, asymmetric collisions, interacting particle systems, weak convergence, stochastic comparison, triple collisions, stationary distribution

Subjects: Probability (math.PR)

[1311] arXiv:1403.4231 [pdf, other]

Title: Semiquantisation Functor and Poisson-Riemannian Geometry, I

Edwin J. Beggs, Shahn Majid

Comments: 57 pages AMS LATEX, no figures

Subjects: Quantum Algebra (math.QA); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[1312] arXiv:1403.4236 [pdf, other]

Title: On $p$-adic Hard Sphere model with three states on a Cayley tree

Otabek Khakimov

Comments: in Russian

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

[1313] arXiv:1403.4267 [pdf, other]

Title: Balancing Sparsity and Rank Constraints in Quadratic Basis Pursuit

Cagdas Bilen (INRIA - IRISA), Gilles Puy, Rémi Gribonval (INRIA - IRISA), Laurent Daudet

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[1314] arXiv:1403.4274 [pdf, other]

Title: Numerical integrators for motion under a strong constraining force

Christian Lubich, Daniel Weiss

Subjects: Numerical Analysis (math.NA)

[1315] arXiv:1403.4275 [pdf, other]

Title: Deforming solutions of geometric variational problems with varying symmetry groups

Renato G. Bettiol, Paolo Piccione, Gaetano Siciliano

Comments: LaTeX2e, 26 pages, to appear in Transform. Groups

Journal-ref: Transform. Groups 19 (2014), no. 4, 941-968

Subjects: Differential Geometry (math.DG)

[1316] arXiv:1403.4278 [pdf, other]

Title: Multilevel methods for nonuniformly elliptic operators

Long Chen, Ricardo H. Nochetto, Enrique Otarola, Abner J. Salgado

Subjects: Numerical Analysis (math.NA)

[1317] arXiv:1403.4281 [pdf, other]

Title: A small, infinitely-ended 2-knot group

Ryan Budney, Jonathan Hillman

Comments: 10 pages

Journal-ref: Journal of Knot Theory and Its Ramifications 26 (2017), 1750008

Subjects: Geometric Topology (math.GT)

[1318] arXiv:1403.4283 [pdf, other]

Title: A poset view of the major index

Richard Ehrenborg, Margaret Readdy

Comments: 13 pages, 1 figure. Final version

Journal-ref: Advances in Applied Mathematics 62 (2015) 1-14

Subjects: Combinatorics (math.CO)

[1319] arXiv:1403.4285 [pdf, other]

Title: Loop measures and the Gaussian free field

Gregory F. Lawler, Jacob Perlman

Comments: 20 pages

Subjects: Probability (math.PR)

[1320] arXiv:1403.4286 [pdf, other]

Title: Absolutely $k$-convex domains and holomorphic foliations on homogeneous manifolds

Mauricio Corrêa Jr, Arturo Fernández-Pérez

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

[1321] arXiv:1403.4287 [pdf, other]

Title: Factorization of Graded Traces on Nichols Algebras

Simon Lentner, Andreas Lochmann

Comments: 34 pages, 1 figure

Subjects: Quantum Algebra (math.QA)

[1322] arXiv:1403.4293 [pdf, other]

Title: On a condition number of random polynomial systems

Hoi Nguyen

Comments: Corrections on the probability bound of the main theorems; additional assumption on the perturbed systems

Subjects: Probability (math.PR)

[1323] arXiv:1403.4300 [pdf, other]

Title: Regularity of solutions to fully nonlinear elliptic and parabolic free boundary problems

Emanuel Indrei, Andreas Minne

Comments: 25 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[1324] arXiv:1403.4301 [pdf, other]

Title: The power of choice combined with preferential attachment

Yury Malyshkin, Elliot Paquette

Subjects: Probability (math.PR); Combinatorics (math.CO)

[1325] arXiv:1403.4311 [pdf, other]

Title: The lower bound of the PCM quantization error in high dimension

Heng Zhou, Zhiqiang Xu

Comments: 12 pages

Subjects: Numerical Analysis (math.NA); Information Theory (cs.IT)

[1326] arXiv:1403.4312 [pdf, other]

Title: Fuller Phenomenon in multiple input control systems

Eduardo Oda, Pedro Aladar Tonelli

Subjects: Optimization and Control (math.OC)

[1327] arXiv:1403.4313 [pdf, other]

Title: The solution of an open XXZ chain with arbitrary spin revisited

Rajan Murgan, Christopher Silverthorn

Comments: 22 pages; v2: references added; Some comments added; revised version with more sections, numerical results and updated references

Journal-ref: J.Stat.Mech.1502:P02001,2015

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

[1328] arXiv:1403.4320 [pdf, other]

Title: Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory

Matthew Ando, Andrew J. Blumberg, David Gepner, Michael J. Hopkins, Charles Rezk

Comments: arXiv admin note: substantial text overlap with arXiv:0810.4535

Subjects: Algebraic Topology (math.AT)

[1329] arXiv:1403.4324 [pdf, other]

Title: Twisted k-graph algebras associated to Bratteli diagrams

David Pask, Adam Sierakowski, Aidan Sims

Comments: 28 pages, pictures prepared using tikz

Subjects: Operator Algebras (math.OA)

[1330] arXiv:1403.4325 [pdf, other]

Title: An $\infty$-categorical approach to $R$-line bundles, $R$-module Thom spectra, and twisted $R$-homology

Matthew Ando, Andrew J. Blumberg, David Gepner, Michael J. Hopkins, Charles Rezk

Comments: arXiv admin note: substantial text overlap with arXiv:0810.4535

Subjects: Algebraic Topology (math.AT)

[1331] arXiv:1403.4330 [pdf, other]

Title: Optimal Output Feedback Architecture for Triangular LQG Problems

Takashi Tanaka, Pablo A. Parrilo

Comments: To be presented at 2014 American Control Conference

Subjects: Optimization and Control (math.OC)

[1332] arXiv:1403.4332 [pdf, other]

Title: A limit process for a sequence of partial sums of residuals of a simple regression against order statistics with Markov-modulated noise

Artyom Kovalevskii, Evgeny Shatalin

Subjects: Probability (math.PR)

[1333] arXiv:1403.4333 [pdf, other]

Title: Increasing Flash Memory Lifetime by Dynamic Voltage Allocation for Constant Mutual Information

Tsung-Yi Chen, Adam R. Williamson, Richard D. Wesel

Comments: 5 pages. 5 figures

Subjects: Information Theory (cs.IT)

[1334] arXiv:1403.4337 [pdf, other]

Title: Log homogeneous compactifications of some classical groups

Mathieu Huruguen

Comments: 30 pages. Comments welcome

Subjects: Algebraic Geometry (math.AG)

[1335] arXiv:1403.4340 [pdf, other]

Title: The phase of the scattering operator from the geometry of certain infinite-dimensional groups

Jouko Mickelsson

Comments: 9 pages, no figures

Subjects: Mathematical Physics (math-ph); Differential Geometry (math.DG)

[1336] arXiv:1403.4342 [pdf, other]

Title: Spatial Performance Analysis and Design Principles for Wireless Peer Discovery

Taesoo Kwon, Ji-Woong Choi

Comments: 12 pages (double columns), 10 figures, 1 table, to appear in the IEEE Transactions on Wireless Communications

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

[1337] arXiv:1403.4345 [pdf, other]

Title: Consequences of the Lakshmibai-Sandhya Theorem: the ubiquity of permutation patterns in Schubert calculus and related geometry

Hiraku Abe, Sara Billey

Comments: 35 pages

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

[1338] arXiv:1403.4346 [pdf, other]

Title: Spatial Topology Adjustment for Minimizing Multicell Network Power Consumption

Taesoo Kwon

Comments: 30 pages, 6 figures, 2 tables

Subjects: Information Theory (cs.IT)

[1339] arXiv:1403.4347 [pdf, other]

Title: Homogeneous ANR-spaces and Alexandroff manifolds

V. Valov

Comments: 10 pages

Subjects: Geometric Topology (math.GT); General Topology (math.GN)

[1340] arXiv:1403.4348 [pdf, other]

Title: Special reductive groups over an arbitrary field

Mathieu Huruguen (UBC)

Comments: 21 pages. Comments welcome

Subjects: Algebraic Geometry (math.AG)

[1341] arXiv:1403.4349 [pdf, other]

Title: Linearly related polyominoes

Viviana Ene, Jürgen Herzog, Takayuki Hibi

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

[1342] arXiv:1403.4357 [pdf, other]

Title: High Speed Railway Wireless Communications: Efficiency v.s. Fairness

Yunquan Dong, Pingyi Fan, Khaled Ben Letaief

Comments: 16 pages, 6 figures

Journal-ref: IEEE Trans. Veh. Technol., vol. 62, no. 2, 2014, pp: 925-930

Subjects: Information Theory (cs.IT)

[1343] arXiv:1403.4366 [pdf, other]

Title: A note on bimodal singularities and mirror symmetry

Makiko Mase, Kazushi Ueda

Comments: 24 pages

Subjects: Algebraic Geometry (math.AG)

[1344] arXiv:1403.4371 [pdf, other]

Title: The signed Euler characteristic of very affine varieties

Nero Budur, Botong Wang

Comments: v2: More details in the lci case. Final version, to appear in IMRN

Subjects: Algebraic Geometry (math.AG)

[1345] arXiv:1403.4374 [pdf, other]

Title: Low-Complexity Transmission Mode Selection in MU-MIMO Systems

Haijing Liu, Hui Gao, Anzhong Hu, Tiejun Lv

Comments: ICT2014(Accepted)

Subjects: Information Theory (cs.IT)

[1346] arXiv:1403.4376 [pdf, other]

Title: The metric geometry of the Hamming cube and applications

F. Baudier, D. Freeman, Th. Schlumprecht, A. Zsák

Journal-ref: Geom. Topol. 20 (2016) 1427-1444

Subjects: Functional Analysis (math.FA)

[1347] arXiv:1403.4377 [pdf, other]

Title: On optimal mean-field type control problems of stochastic systems with jump processes under partial information

Yaozhong Hu, David Nualart, Qing Zhou

Comments: 22 pages. arXiv admin note: text overlap with arXiv:0911.3720 by other authors

Subjects: Probability (math.PR)

[1348] arXiv:1403.4379 [pdf, other]

Title: Generalized Fractional Calculus of Variations

Tatiana Odzijewicz

Comments: PhD thesis, Doctoral Programme in Mathematics and Applications (PDMA), University of Aveiro and University of Minho, 2013. Supervisor: Delfim F. M. Torres; co-supervisor: Agnieszka B. Malinowska. Defended and approved 18-Sept-2013. See this http URL. University of Aveiro, PhD thesis, 2013

Subjects: Optimization and Control (math.OC)

[1349] arXiv:1403.4380 [pdf, other]

Title: Response of initial field to stiffness perturbation

Chen-Wu Wu

Comments: 5 pages, 2 figures, part of the content appears in the Proceedings for 15th International Conference on Experimental Mechanics

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

[1350] arXiv:1403.4381 [pdf, other]

Title: Properness and simplicial resolutions for the model category dgCat

Julian V. S. Holstein

Comments: 15 pages. V5: added appendix to close two gaps in the proof of the main theorem. V3 appeared in Homology, Homotopy and Applications, vol. 16(2), 2014

Journal-ref: Homology, Homotopy and Applications, Volume 16 (2014) Number 2, pages 263-273

Subjects: Category Theory (math.CT)