Mathematics

Authors and titles for May 2007

[1001] arXiv:0705.4558 [pdf, other]

Title: Almost-free finite covers

Elisabetta Pastori

Subjects: Logic (math.LO); Group Theory (math.GR)

[1002] arXiv:0705.4561 [pdf, other]

Title: The Pseudospectrum of Systems of Semiclassical Operators

Nils Dencker

Comments: Introduced the notion of quasi-symmetric systems and proved invariance properties for these systems. Changed the definition of the approximation property in Definition 5.10. Skipped erroneous Remark 3.5 and strengthened Proposition 3.7. Corrected an error in the proof of Proposition 6.1, added Lemma A.4 and some examples. The paper has 57 pages

Journal-ref: Anal. PDE 1 (2008), 323--373.

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

[1003] arXiv:0705.4564 [pdf, other]

Title: Boundary behaviour of Loewner Chains

Alexander Kuznetsov (Saratov State University)

Comments: 11 pages

Subjects: Complex Variables (math.CV); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[1004] arXiv:0705.4571 [pdf, other]

Title: Twisted Whittaker model and factorizable sheaves

Dennis Gaitsgory

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

[1005] arXiv:0705.4572 [pdf, other]

Title: Topological pressure for one-dimensional holomorphic dynamical systems

Katrin Gelfert, Christian Wolf

Journal-ref: Bull. Polish Acad. Sci. Math. 55 (2007), 53-62

Subjects: Dynamical Systems (math.DS)

[1006] arXiv:0705.4573 [pdf, other]

Title: Bounds on exponential sums over small multiplicative subgroups

Par Kurlberg

Comments: 15 pages. To appear in Proceedings of CRM-Clay workshop on Additive Combinatorics, Montreal 2006

Subjects: Number Theory (math.NT)

[1007] arXiv:0705.4578 [pdf, other]

Title: Equivalence of symmetric union diagrams

Michael Eisermann, Christoph Lamm

Comments: 19 pages, 20 figures; v2 corrected signs in section 3

Journal-ref: J. Knot Theory Ramifications 16 (2007) 879-898

Subjects: Geometric Topology (math.GT)

[1008] arXiv:0705.4589 [pdf, other]

Title: Energy identity for approximations of harmonic maps from surfaces

Tobias Lamm

Comments: 21 pages, statement of Theorem 1.1 corrected, to appear in Trans. Amer. Math. Soc

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[1009] arXiv:0705.4590 [pdf, other]

Title: An Algebraic Analysis of Conchoids to Algebraic Curves

J. Rafael Sendra, Juana Sendra

Comments: 8 figures

Journal-ref: Applicable Algebra in Engineering, Communication and Computing vol. 19, pp. 413-428 (2008)

Subjects: Algebraic Geometry (math.AG)

[1010] arXiv:0705.4593 [pdf, other]

Title: On the Riemann zeta-function, Parts IV-V

Anthony Csizmazia

Comments: 12 pages Added Part V to a contracted version of Part IV

Subjects: General Mathematics (math.GM)

[1011] arXiv:0705.4600 [pdf, other]

Title: Nonlinear equations for p-adic open, closed, and open-closed strings

V.S.Vladimirov

Comments: 16 pages, 3 figures

Journal-ref: Theor.Math.Phys.149:1604-1616,2006; Teor.Mat.Fiz.149:354-367,2006

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Analysis of PDEs (math.AP)

[1012] arXiv:0705.4602 [pdf, other]

Title: Endomorphisms of projective varieties

Marian Aprodu, Stefan Kebekus, Thomas Peternell

Comments: References were added and a few typos were fixed

Subjects: Algebraic Geometry (math.AG)

[1013] arXiv:0705.4608 [pdf, other]

Title: Nested quantum Dyck paths and nabla(s_lambda)

Nicholas A. Loehr, Gregory S. Warrington

Comments: 23 pages

Subjects: Combinatorics (math.CO)

[1014] arXiv:0705.4619 [pdf, other]

Title: On the Small Ball Inequality in All Dimensions

Dmitry Bilyk, Michael Lacey, Armen Vagharshakyan

Comments: 33 pages, 2 figures. Final version of the paper. To appear in J Funct Analy

Subjects: Classical Analysis and ODEs (math.CA); Probability (math.PR)

[1015] arXiv:0705.4626 [pdf, other]

Title: New Enhanced Chaotic Number Generators

R. Lozi

Comments: 42 pages, 17 figures, to be published in Proceeding 8th International Conference of Indian Soc. of Indust. and Appl. Math., Jammu,India, 31st March - 3rd April 2007, Invited conference

Journal-ref: Indian Journal of Industrial and Applied Mathematics, Vol. 1, Number 1, January-June 2007, pp. 1-23

Subjects: Dynamical Systems (math.DS)

[1016] arXiv:0705.4639 [pdf, other]

Title: New Invariants of Long Virtual Knots

Andrew Bartholomew, Roger Fenn, Naoko Kamada, Seiichi Kamada

Comments: 14 pages 11 figures

Subjects: Geometric Topology (math.GT); Rings and Algebras (math.RA)

[1017] arXiv:0705.4640 [pdf, other]

Title: On the values of integrals with the variable taken from $x=0$ to $x=\infty$

Leonhard Euler

Comments: 7 pages; minor changes

Subjects: History and Overview (math.HO); Classical Analysis and ODEs (math.CA)

[1018] arXiv:0705.4649 [pdf, other]

Title: Boundary cross theorem in dimension 1 with singularities

Peter Pflug, Viet-Anh Nguyen

Comments: Preprint of the ICTP, Trieste-Italy (2007). 18 pages

Subjects: Complex Variables (math.CV)

[1019] arXiv:0705.4658 [pdf, other]

Title: Two sources are better than one for increasing the Kolmogorov complexity of infinite sequences

Marius Zimand

Comments: Theorem 4.15 replaced with a weaker version; several other minor changes

Subjects: Information Theory (cs.IT); Computational Complexity (cs.CC)

[1020] arXiv:0705.4661 [pdf, other]

Title: Algebraic Cycles and Mumford-Griffiths Invariants

James D. Lewis, Shuji Saito

Comments: 39 pages, To appear in the American Journal of Mathematics

Subjects: Algebraic Geometry (math.AG)

[1021] arXiv:0705.4662 [pdf, other]

Title: The Euclidean distortion of the lamplighter group

Tim Austin, Assaf Naor, Alain Valette

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA); Group Theory (math.GR)

[1022] arXiv:0705.4670 [pdf, other]

Title: Stability of Solutions to Damped Equations with Negative Stiffness

Julio G. Dix, Cesar A. Terrero-Escalante

Comments: 11 pages

Subjects: Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS)

[1023] arXiv:0705.4681 [pdf, other]

Title: On group-theoretic models of randomness and genericity

Ilya Kapovich, Paul Schupp

Comments: final version, appeared in: Groups, Geometry and Dynamics 2 (2008), no. 3, pp. 383-404

Journal-ref: Groups, Geometry and Dynamics 2 (2008), no. 3, pp. 383-404

Subjects: Group Theory (math.GR); Geometric Topology (math.GT)

[1024] arXiv:0705.0010 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Critical phenomena in complex networks

S. N. Dorogovtsev, A. V. Goltsev, J. F. F. Mendes

Comments: Review article, 79 pages, 43 figures, 1 table, 508 references, extended

Journal-ref: Rev. Mod. Phys. 80, 1275 (2008)

Subjects: Statistical Mechanics (cond-mat.stat-mech); Networking and Internet Architecture (cs.NI); Mathematical Physics (math-ph); Physics and Society (physics.soc-ph)

[1025] arXiv:0705.0053 (cross-list from q-fin.PM) [pdf, other]

Title: Mutual Fund Theorems when Minimizing the Probability of Lifetime Ruin

Erhan Bayraktar, Virginia R. Young

Subjects: Portfolio Management (q-fin.PM); Optimization and Control (math.OC); Probability (math.PR); Risk Management (q-fin.RM)

[1026] arXiv:0705.0143 (cross-list from hep-th) [pdf, other]

Title: DSR and Canonical Transformations: A Comment on a ``A Lagrangian for DSR particle and the role of noncommutativity''

J. Antonio Garcia

Comments: 3 pages. Accepted in PRD. v2 Fixed typos, reference added, version for PRD

Journal-ref: Phys.Rev.D76:048501,2007

Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[1027] arXiv:0705.0284 (cross-list from gr-qc) [pdf, other]

Title: Projecting Massive Scalar Fields to Null Infinity

C. Dappiaggi (Pavia U.)

Comments: 26 pages

Journal-ref: Ann. Henri Poincare 9 (2008), 35-63

Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[1028] arXiv:0705.0315 (cross-list from cs.NI) [pdf, other]

Title: WDM and Directed Star Arboricity

Omid Amini, Frederic Havet, Florian Huc, Stephan Thomasse

Comments: 18 pages, 2 figures. Final version

Journal-ref: Combinatorics, Probability and Computing, Volume 19, Issue 02, March 2010, pp 161-182

Subjects: Networking and Internet Architecture (cs.NI); Combinatorics (math.CO)

[1029] arXiv:0705.0326 (cross-list from cs.NI) [pdf, other]

Title: Optimal Delay-Throughput Trade-offs in Mobile Ad-Hoc Networks: Hybrid Random Walk and One-Dimensional Mobility Models

Lei Ying, R. Srikant

Comments: 13 pages

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

[1030] arXiv:0705.0346 (cross-list from nlin.SI) [pdf, other]

Title: Stability of the periodic Toda lattice under short range perturbations

Spyridon Kamvissis, Gerald Teschl

Comments: 38 pages, 1 figure. This version combines both the original version and arXiv:0805.3847

Journal-ref: J. Math. Phys. 53, 073706 (2012)

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

[1031] arXiv:0705.0348 (cross-list from quant-ph) [pdf, other]

Title: Reply to Comment arXiv:0704.3529v1

R. de la Madrid

Comments: 6-page reply to Comment arXiv:0704.3529v1. Such Comment was submitted to J. Phys. A, but it won't be published. To avoid open-ended discussions, the present author will not reply to more comments on this issue, unless they are accepted by a peer-reviewed journal

Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph)

[1032] arXiv:0705.0350 (cross-list from cs.CG) [pdf, other]

Title: Algorithms for laying points optimally on a plane and a circle

Ruslan Sharipov

Comments: AmSTeX, 6 pages, amsppt style

Subjects: Computational Geometry (cs.CG); Optimization and Control (math.OC)

[1033] arXiv:0705.0351 (cross-list from gr-qc) [pdf, other]

Title: A unified, purely affine theory of gravitation and electromagnetism

Nikodem J. Poplawski

Comments: 7 pages; extended analysis and discussion

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

[1034] arXiv:0705.0475 (cross-list from astro-ph) [pdf, other]

Title: Production of trans-Neptunian binaries through chaos-assisted capture

Ernestine A. Lee, Sergey A. Astakhov, David Farrelly

Comments: submitted to MNRAS

Journal-ref: Mon.Not.Roy.Astron.Soc.379:229-246,2007

Subjects: Astrophysics (astro-ph); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD)

[1035] arXiv:0705.0501 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Survival of a diffusing particle in an expanding cage

Alan J Bray, Richard Smith

Comments: 5 pages

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

[1036] arXiv:0705.0510 (cross-list from nlin.SI) [pdf, other]

Title: Geometry of the Pfaff lattices

Y. Kodama, V. U. Pierce

Comments: 37 pages, 5 figures

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

[1037] arXiv:0705.0552 (cross-list from cs.DS) [pdf, other]

Title: Succinct Indexable Dictionaries with Applications to Encoding $k$-ary Trees, Prefix Sums and Multisets

Rajeev Raman, Venkatesh Raman, Srinivasa Rao Satti

Comments: Final version of SODA 2002 paper; supersedes Leicester Tech report 2002/16

Journal-ref: ACM Transactions on Algorithms vol 3 (2007), Article 43, 25pp

Subjects: Data Structures and Algorithms (cs.DS); Discrete Mathematics (cs.DM); Information Theory (cs.IT)

[1038] arXiv:0705.0567 (cross-list from physics.flu-dyn) [pdf, other]

Title: Influence of the extent of the eigenstates of a system on the resonances formed through its coupling to a field

Claude Billionnet (CPHT)

Subjects: Fluid Dynamics (physics.flu-dyn); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[1039] arXiv:0705.0753 (cross-list from nlin.CD) [pdf, other]

Title: Transcritical bifurcations in non-integrable Hamiltonian systems

Matthias Brack, Kaori Tanaka

Comments: LaTeX, 38 pages, 13 figures; substantially revised version v4; to be published in Phys. Rev. E

Journal-ref: Phys. Rev. E 77, 046205 (2008)

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

[1040] arXiv:0705.0790 (cross-list from hep-th) [pdf, other]

Title: Two-Dimensional Twisted Sigma Models, the Mirror Chiral de Rham Complex, and Twisted Generalised Mirror Symmetry

Meng-Chwan Tan

Comments: 97 pages. Companion paper to hep-th/0604179. Published version

Journal-ref: JHEP 0707:013,2007

Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Quantum Algebra (math.QA)

[1041] arXiv:0705.0797 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects

Rudolf Gorenflo, Francesco Mainardi

Comments: 36 pages, 3 figures (5 files eps). Invited lecture by R. Gorenflo at the 373. WE-Heraeus-Seminar on Anomalous Transport: Experimental Results and Theoretical Challenges, Physikzentrum Bad-Honnef (Germany), 12-16 July 2006; Chairmen: R. Klages, G. Radons and I.M. Sokolov

Journal-ref: "Anomalous Transport: Foundations and Applications", edited by R. Klages, G. Radons and I.M Sokolov, as Chapter 4, pp. 93-127,WILEY-VCH, Weinheim, Germany (2008) [ISBN 978-3-5277-40722-4]

Subjects: Statistical Mechanics (cond-mat.stat-mech); Disordered Systems and Neural Networks (cond-mat.dis-nn); Mathematical Physics (math-ph)

[1042] arXiv:0705.0827 (cross-list from hep-th) [pdf, other]

Title: A Metric for Gradient RG Flow of the Worldsheet Sigma Model Beyond First Order

T. Oliynyk, V. Suneeta, E. Woolgar

Comments: 15 pages; Erroneous sentence in footnote 14 removed; this version therefore supersedes the published version (our thanks to Dezhong Chen for the correction)

Journal-ref: Phys.Rev.D76:045001,2007

Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[1043] arXiv:0705.0863 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Quasi-exactly solvable Fokker-Planck equations

Choon-Lin Ho, Ryu Sasaki

Comments: 8 pages, no figures. Sect. IV.C rewritten, and other places slightly modified accordingly. New references added

Subjects: Statistical Mechanics (cond-mat.stat-mech); Other Condensed Matter (cond-mat.other); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI); Quantum Physics (quant-ph)

[1044] arXiv:0705.0866 (cross-list from hep-th) [pdf, other]

Title: Infinite loop superalgebras of the Dirac theory on the Euclidean Taub-NUT space

Ion I. Cotaescu, Mihai Visinescu

Comments: 16 pages, LaTeX, references added

Journal-ref: J.Phys.A40:11987-12000,2007

Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)

[1045] arXiv:0705.0909 (cross-list from cs.GT) [pdf, other]

Title: Game-Theoretic Power Control in Impulse Radio UWB Wireless Networks

Giacomo Bacci, Marco Luise, H. Vincent Poor

Comments: Appeared in the Proceedings of the 13th European Wireless Conference, Paris, France, April 1-4, 2007

Subjects: Computer Science and Game Theory (cs.GT); Information Theory (cs.IT)

[1046] arXiv:0705.0936 (cross-list from cs.GT) [pdf, other]

Title: Performance Comparison of Energy-Efficient Power Control for CDMA and Multiuser UWB Networks

Giacomo Bacci, Marco Luise, H. Vincent Poor

Comments: To appear in the Proceedings of the 16th IST Mobile and Wireless Communications Summit, Budapest, Hungary, July 1-5, 2007

Subjects: Computer Science and Game Theory (cs.GT); Information Theory (cs.IT)

[1047] arXiv:0705.1033 (cross-list from cs.DS) [pdf, other]

Title: Optimal Cache-Oblivious Mesh Layouts

Michael A. Bender, Bradley C. Kuszmaul, Shang-Hua Teng, Kebin Wang

Subjects: Data Structures and Algorithms (cs.DS); Computational Engineering, Finance, and Science (cs.CE); Mathematical Software (cs.MS); Numerical Analysis (math.NA)

[1048] arXiv:0705.1136 (cross-list from quant-ph) [pdf, other]

Title: Standard forms and entanglement engineering of multimode Gaussian states under local operations

Alessio Serafini, Gerardo Adesso

Comments: 14 pages, 2 figures, IOP style. Published in J. Phys. A, Special Issue on Quantum Information, Communication, Computation and Cryptography (the arXiv version has an extra note added)

Journal-ref: J. Phys. A: Math. Theor. 40, 8041 (2007)

Subjects: Quantum Physics (quant-ph); Symplectic Geometry (math.SG); Optics (physics.optics)

[1049] arXiv:0705.1281 (cross-list from physics.ao-ph) [pdf, other]

Title: Viscous potential free-surface flows in a fluid layer of finite depth

Denys Dutykh (1), Frederic Dias (1) ((1) ENS Cachan, CMLA)

Comments: 6 pages, published at CRAS. Other author's papers can be downloaded at this http URL

Journal-ref: Comptes Rendus Mathematique (2007), Vol. 345, Issue 2, pp. 113-118

Subjects: Atmospheric and Oceanic Physics (physics.ao-ph); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI); Classical Physics (physics.class-ph); Fluid Dynamics (physics.flu-dyn); General Physics (physics.gen-ph)

[1050] arXiv:0705.1297 (cross-list from q-fin.PR) [pdf, other]

Title: Pricing Life Insurance under Stochastic Mortality via the Instantaneous Sharpe Ratio: Theorems and Proofs

Virginia R. Young

Subjects: Pricing of Securities (q-fin.PR); Analysis of PDEs (math.AP); Optimization and Control (math.OC)