Mathematics

Authors and titles for July 2014

[2401] arXiv:1407.8457 [pdf, other]

Title: Focusing Quantum Many-body Dynamics II: The Rigorous Derivation of the 1D Focusing Cubic Nonlinear Schr\"{o}dinger Equation from 3D

Xuwen Chen, Justin Holmer

Comments: arXiv admin note: text overlap with arXiv:1212.0787

Journal-ref: Analysis & PDE 10-3 (2017), 589-633

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

[2402] arXiv:1407.8460 [pdf, other]

Title: A short proof of the phase transition for the vacant set of random interlacements

Balazs Rath

Comments: 11 pages, 1 figure; Title of paper changed

Journal-ref: Electron. Commun. Probab. 20 (2015) no. 3., 1-11

Subjects: Probability (math.PR)

[2403] arXiv:1407.8463 [pdf, other]

Title: Gaussian Multiple Access via Compute-and-Forward

Jingge Zhu, Michael Gastpar

Comments: to appear in IEEE Transactions on Information Theory

Subjects: Information Theory (cs.IT)

[2404] arXiv:1407.8464 [pdf, other]

Title: Horrocks Correspondence on ACM Varieties

F. Malaspina, A.P. Rao

Comments: 18 pages, not figures

Journal-ref: Algebra Number Theory 9 (2015) 981-1003

Subjects: Algebraic Geometry (math.AG)

[2405] arXiv:1407.8465 [pdf, html, other]

Title: New congruences involving harmonic numbers

Zhi-Wei Sun

Comments: 32 pages, final published version

Journal-ref: Nanjing Univ. J. Math. Biquarterly 40 (2023), 1--33

Subjects: Number Theory (math.NT)

[2406] arXiv:1407.8468 [pdf, other]

Title: The matrix equation $XA-AX=f(X)$ when $A$ is diagonalizable

Gerald Bourgeois

Comments: 7 pages

Subjects: Rings and Algebras (math.RA)

[2407] arXiv:1407.8469 [pdf, other]

Title: On the Equivalence between Interference and Eavesdropping in Wireless Communications

Gerardo Gomez, F. Javier Lopez-Martinez, David Morales-Jimenez, Matthew R. McKay

Comments: This work has been accepted for publication at IEEE Transactions on Vehicular Technology. Copyright (c) 2014 IEEE. Personal use of this material is permitted. However, permission to use this material for any other purposes must be obtained from the IEEE by sending a request to [email protected]

Subjects: Information Theory (cs.IT)

[2408] arXiv:1407.8471 [pdf, other]

Title: On classical solutions to 2D Shallow water equations with degenerate viscosities

Yachun Li, Ronghua Pan, Shengguo Zhu

Comments: 43pages. arXiv admin note: substantial text overlap with arXiv:1407.7828

Subjects: Analysis of PDEs (math.AP)

[2409] arXiv:1407.8473 [pdf, other]

Title: A. Cormack's last inversion formula and a FBP reconstruction

Victor Palamodov

Comments: 2 figures

Subjects: Mathematical Physics (math-ph)

[2410] arXiv:1407.8478 [pdf, other]

Title: Triangulation and Classification of 2-Manifolds

Kushal Lalwani

Comments: Dissertation submitted to University of Delhi for the degree of this http URL

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

[2411] arXiv:1407.8479 [pdf, other]

Title: From Hankel operators to Carleson measures in a quaternionic variable

Nicola Arcozzi, Giulia Sarfatti

Comments: 19 pages

Subjects: Complex Variables (math.CV)

[2412] arXiv:1407.8483 [pdf, other]

Title: Six-vertex model with partial domain wall boundary conditions: ferroelectric phase

Pavel Bleher, Karl Liechty

Comments: 32 pages, 6 figures, minor changes in version 2

Journal-ref: J. Math. Phys. 56 (2015) 023302

Subjects: Mathematical Physics (math-ph)

[2413] arXiv:1407.8484 [pdf, other]

Title: Exact formulas for random growth with half-flat initial data

Janosch Ortmann, Jeremy Quastel, Daniel Remenik

Comments: Published at this http URL in the Annals of Applied Probability (this http URL) by the Institute of Mathematical Statistics (this http URL)

Journal-ref: Annals of Applied Probability 2016, Vol. 26, No. 1, 507-548

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

[2414] arXiv:1407.8491 [pdf, other]

Title: Non-reduced components of the Noether-Lefschetz locus

Ananyo Dan

Comments: 26 pages

Subjects: Algebraic Geometry (math.AG)

[2415] arXiv:1407.8494 [pdf, other]

Title: Joint Design of Optimal Cooperative Jamming and Power Allocation for Linear Precoding

Jun Yang, Il-Min Kim, Dong In Kim

Comments: accepted by IEEE Transactions on Communications

Subjects: Information Theory (cs.IT)

[2416] arXiv:1407.8496 [pdf, other]

Title: Association schemes with at most two nonlinear irreducible characters and applications to finite groups

Javad Bagherian

Comments: 18 pages

Subjects: Combinatorics (math.CO)

[2417] arXiv:1407.8498 [pdf, other]

Title: Intersections of the Hermitian Surface with irreducible Quadrics in even Characteristic

Angela Aguglia, Luca Giuzzi

Comments: 20 pages; extensively revised and corrected version. This paper extends the results of arXiv:1307.8386 to the case q even

Journal-ref: The Electronic Journal of Combinatorics, 23 (4) P4.13 (2016), http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i4p13

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Algebraic Geometry (math.AG)

[2418] arXiv:1407.8512 [pdf, other]

Title: Cosets of affine vertex algebras inside larger structures

Thomas Creutzig, Andrew R. Linshaw

Comments: Some errors corrected, final version

Journal-ref: Journal of Algebra 517 (2019) 396-438

Subjects: Representation Theory (math.RT); Quantum Algebra (math.QA)

[2419] arXiv:1407.8514 [pdf, other]

Title: On gliding Lagrange top equations and their asymptotic behaviour

Nils Rutstam, Stefan Rauch-Wojciechowski

Subjects: Dynamical Systems (math.DS)

[2420] arXiv:1407.8517 [pdf, other]

Title: Local spectral expansion approach to high dimensional expanders

Izhar Oppenheim

Comments: 96 pages. This version has minor corrections regarding the result of mixing for partite complexes

Subjects: Combinatorics (math.CO)

[2421] arXiv:1407.8519 [pdf, other]

Title: Affine Grassmannians and the geometric Satake in mixed characteristic

Xinwen Zhu

Comments: 63 pages. Fix a gap in the proof of Theorem A.29. A few more details added and exposition improved

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

[2422] arXiv:1407.8528 [pdf, other]

Title: Propagation of singularities for semilinear Schr\"odinger equations

Fabio Nicola, Luigi Rodino

Comments: 16 pages

Journal-ref: Nonlinear Differential Equations and Applications NoDEA, 2015, 22, 6, 1715-1732

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

[2423] arXiv:1407.8531 [pdf, other]

Title: Stochastic stability of Pollicott-Ruelle resonances

Semyon Dyatlov, Maciej Zworski

Comments: 26 pages, 6 figures. Added several negative examples at the end of the introduction

Journal-ref: Nonlinearity 28(2015), 3511

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

[2424] arXiv:1407.8534 [pdf, other]

Title: Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz

Alexei Borodin, Ivan Corwin, Leonid Petrov, Tomohiro Sasamoto

Comments: 65 pages, 13 figures; v3-v4: Removed incorrect proof of spatial biorthogonality of ASEP eigenfunctions. The statement is correct due to Tracy-Widom (arXiv:0704.2633) but does not directly follow from the main results of the present work. See Remark 7.5 for details

Journal-ref: Comm. Math. Phys. 339 (2015), no. 3, 1167--1245

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR); Quantum Algebra (math.QA); Representation Theory (math.RT)

[2425] arXiv:1407.8537 [pdf, other]

Title: A new application of the $\otimes_h$-product to $\alpha$-labelings

Susana-Clara López, Francesc-Antoni Muntaner-Batle

Comments: 5 pages, 8 figures

Subjects: Combinatorics (math.CO)

[2426] arXiv:1407.8538 [pdf, other]

Title: Partition functions of discrete coalescents: from Cayley's formula to Frieze's \zeta(3) limit theorem

Louigi Addario-Berry

Comments: 42 pages, 4 figures, 25 exercises, 6 open problems

Subjects: Probability (math.PR)

[2427] arXiv:1407.8541 [pdf, other]

Title: Walking dynamics are symmetric (enough)

M. Mert Ankaralı, Shahin Sefati, Manu S. Madhav, Andrew Long, Amy J. Bastian, Noah J. Cowan

Comments: Draft submitted to Journal of the Royal Society Interface

Subjects: Dynamical Systems (math.DS); Data Analysis, Statistics and Probability (physics.data-an)

[2428] arXiv:1407.8543 [pdf, other]

Title: Grossberg-Karshon twisted cubes and hesitant walk avoidance

Megumi Harada, Eunjeong Lee

Comments: 11 pages

Journal-ref: Pacific J. Math. 278 (2015) 119-136

Subjects: Combinatorics (math.CO); Representation Theory (math.RT)

[2429] arXiv:1407.0039 (cross-list from cs.MS) [pdf, other]

Title: Integer formula encoding SageTeX package

Edinah K. Gnang

Subjects: Mathematical Software (cs.MS); Combinatorics (math.CO)

[2430] arXiv:1407.0066 (cross-list from cond-mat.str-el) [pdf, other]

Title: Bound states and entanglement in the excited states of quantum spin chains

Jan Mölter, Thomas Barthel, Ulrich Schollwöck, Vincenzo Alba

Comments: 39 pages, 10 figure. as published in JSTAT. Invited submission to JSTAT Special Issue: Quantum Entanglement in Condensed Matter Physics

Journal-ref: J. Stat. Mech. P10029 (2014)

Subjects: Strongly Correlated Electrons (cond-mat.str-el); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)

[2431] arXiv:1407.0067 (cross-list from cs.LG) [pdf, other]

Title: Rates of Convergence for Nearest Neighbor Classification

Kamalika Chaudhuri, Sanjoy Dasgupta

Subjects: Machine Learning (cs.LG); Statistics Theory (math.ST); Machine Learning (stat.ML)

[2432] arXiv:1407.0108 (cross-list from q-fin.MF) [pdf, other]

Title: A Constrained Control Problem with Degenerate Coefficients and Degenerate Backward SPDEs with Singular Terminal Condition

Ulrich Horst, Jinniao Qiu, Qi Zhang

Comments: 16 pages

Subjects: Mathematical Finance (q-fin.MF); Probability (math.PR)

[2433] arXiv:1407.0118 (cross-list from cs.SY) [pdf, other]

Title: A Characterization of the Minimal Average Data Rate that Guarantees a Given Closed-Loop Performance Level

EduardoI. Silva, Milan S. Derpich, Jan Ostergaard, Marco A. Encina

Comments: Submitted to IEEE Transactions on Automatic Control on December 26, 2013

Subjects: Systems and Control (eess.SY); Information Theory (cs.IT)

[2434] arXiv:1407.0161 (cross-list from quant-ph) [pdf, other]

Title: Dirac equation with complex potentials

C.-L. Ho, P. Roy

Comments: 8 pages, no figures, New Sect. 5 added, references updated and rearranged according to MPLA format (to appear)

Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[2435] arXiv:1407.0202 (cross-list from cs.LG) [pdf, other]

Title: SAGA: A Fast Incremental Gradient Method With Support for Non-Strongly Convex Composite Objectives

Aaron Defazio, Francis Bach (INRIA Paris - Rocquencourt, LIENS, MSR - INRIA), Simon Lacoste-Julien (INRIA Paris - Rocquencourt, LIENS, MSR - INRIA)

Comments: Advances In Neural Information Processing Systems, Nov 2014, Montreal, Canada

Subjects: Machine Learning (cs.LG); Optimization and Control (math.OC); Machine Learning (stat.ML)

[2436] arXiv:1407.0209 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Random geometry and the Kardar-Parisi-Zhang universality class

Silvia N. Santalla, Javier Rodriguez-Laguna, Tom LaGatta, Rodolfo Cuerno

Journal-ref: New J. Phys. 17 033018 (2015)

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

[2437] arXiv:1407.0221 (cross-list from cs.CV) [pdf, other]

Title: Imaging with Kantorovich-Rubinstein discrepancy

Jan Lellmann, Dirk A. Lorenz, Carola Schönlieb, Tuomo Valkonen

Subjects: Computer Vision and Pattern Recognition (cs.CV); Numerical Analysis (math.NA)

[2438] arXiv:1407.0298 (cross-list from hep-th) [pdf, other]

Title: Higher Gauge Theory and M-Theory

Sam Palmer

Comments: PhD Thesis, 206 pages

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

[2439] arXiv:1407.0340 (cross-list from gr-qc) [pdf, other]

Title: Yet another proof of Hawking and Ellis's Lemma 8.5.5

S. Krasnikov

Comments: A few misleading typos are corrected

Journal-ref: Class. Quantum Grav. 31 (2014) 227001

Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[2440] arXiv:1407.0344 (cross-list from cs.NI) [pdf, other]

Title: Toward Energy-Efficient 5G Wireless Communications Technologies

R. L. G. Cavalcante, S. Stańczak, M. Schubert, A. Eisenblätter, U. Türke

Comments: accepted for publication. IEEE Signal Processing Magazine, Nov. 2014

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

[2441] arXiv:1407.0403 (cross-list from hep-th) [pdf, other]

Title: BPS M5-branes as Defects for the 3d-3d Correspondence

Ibrahima Bah, Maxime Gabella, Nick Halmagyi

Comments: 26 pages, 16 figures

Subjects: High Energy Physics - Theory (hep-th); Geometric Topology (math.GT)

[2442] arXiv:1407.0412 (cross-list from nlin.CD) [pdf, other]

Title: Sampling local properties of attractors via Extreme Value Theory

Davide Faranda, Jorge Milhazes Freitas, Pierre Guiraud, Sandro Vaienti

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS)

[2443] arXiv:1407.0449 (cross-list from cs.LG) [pdf, other]

Title: Classification-based Approximate Policy Iteration: Experiments and Extended Discussions

Amir-massoud Farahmand, Doina Precup, André M.S. Barreto, Mohammad Ghavamzadeh

Subjects: Machine Learning (cs.LG); Systems and Control (eess.SY); Optimization and Control (math.OC); Machine Learning (stat.ML)

[2444] arXiv:1407.0474 (cross-list from cs.NI) [pdf, other]

Title: Recent Advances in Joint Wireless Energy and Information Transfer

Suzhi Bi, Chin Keong Ho, Rui Zhang

Comments: Conference submission accepted by ITW 2014

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

[2445] arXiv:1407.0491 (cross-list from cs.CC) [pdf, other]

Title: No small nondeterministic read-once branching programs for CNFs of bounded treewidth

Igor Razgon

Comments: Prepared as a 12 pages conference version, thus some proofs are postponed to the appendix

Subjects: Computational Complexity (cs.CC); Data Structures and Algorithms (cs.DS); Logic in Computer Science (cs.LO); Combinatorics (math.CO)

[2446] arXiv:1407.0517 (cross-list from q-fin.RM) [pdf, other]

Title: Stochastic model of a pension plan

Paz Grimberg, Zeev Schuss

Comments: 41 pages, 19 figures

Subjects: Risk Management (q-fin.RM); Probability (math.PR)

[2447] arXiv:1407.0520 (cross-list from quant-ph) [pdf, other]

Title: Detailed balance and entanglement

Rocco Duvenhage, Machiel Snyman

Comments: v1: 29 pages. v2: Extensively rewritten, including a new section on thermofield dynamics, 21 pages

Journal-ref: J. Phys. A: Math. Theor. 48 (2015) 155303

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

[2448] arXiv:1407.0521 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Lowering the error floor of Gallager codes: a statistical-mechanical view

Marco Pretti

Comments: 17 pages, 4 figures; minor revisions, results unchanged

Journal-ref: J. Stat. Mech. (2014) P10042

Subjects: Statistical Mechanics (cond-mat.stat-mech); Information Theory (cs.IT)

[2449] arXiv:1407.0529 (cross-list from nlin.SI) [pdf, other]

Title: Trivially Related Lax Pairs Of The Sawada-Kotera Equation

Daryoush Talati

Comments: To Appear in: The Bulletin of the Iranian Mathematical Society (BIMS)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA)

[2450] arXiv:1407.0536 (cross-list from cs.NI) [pdf, other]

Title: Analysis of the Decoupled Access for Downlink and Uplink in Wireless Heterogeneous Networks

Katerina Smiljkovikj, Petar Popovski, Liljana Gavrilovska

Comments: 4 pages, 3 figures, submitted to IEEE Wireless Communications Letters

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