Mathematics

Authors and titles for August 2007

[401] arXiv:0708.1820 [pdf, other]

Title: Confidence sets for split points in decision trees

Moulinath Banerjee, Ian W. McKeague

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 543-574

Subjects: Statistics Theory (math.ST)

[402] arXiv:0708.1838 [pdf, other]

Title: Fast rates for support vector machines using Gaussian kernels

Ingo Steinwart, Clint Scovel

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 575-607

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

[403] arXiv:0708.1856 [pdf, other]

Title: Vortex Images and q-Elementary Functions

Oktay K. Pashaev, Oguz Yilmaz

Comments: 17 pages

Subjects: Mathematical Physics (math-ph); Quantum Algebra (math.QA)

[404] arXiv:0708.1859 [pdf, other]

Title: Multiple-Description Coding by Dithered Delta-Sigma Quantization

Jan Ostergaard, Ram Zamir

Comments: Revised, restructured, significantly shortened and minor typos has been fixed. Accepted for publication in the IEEE Transactions on Information Theory

Subjects: Information Theory (cs.IT)

[405] arXiv:0708.1867 [pdf, other]

Title: Remarks on symplectic twistor spaces

Rui Albuquerque

Comments: 20 pages, title changed since v2, accepted in AMPA today

Journal-ref: Annali Matematica Pura ed Applicata, Volume 188, Number 3, July 2009, pp. 429-443

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

[406] arXiv:0708.1874 [pdf, other]

Title: Point estimation with exponentially tilted empirical likelihood

Susanne M. Schennach

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 634-672

Subjects: Statistics Theory (math.ST); Statistical Finance (q-fin.ST)

[407] arXiv:0708.1877 [pdf, other]

Title: A nearly tight memory-redundancy trade-off for one-pass compression

Travis Gagie

Subjects: Information Theory (cs.IT)

[408] arXiv:0708.1880 [pdf, other]

Title: Cram\'{e}r-type large deviations for samples from a finite population

Zhishui Hu, John Robinson, Qiying Wang

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 673-696

Subjects: Statistics Theory (math.ST)

[409] arXiv:0708.1885 [pdf, other]

Title: Posterior convergence rates of Dirichlet mixtures at smooth densities

Subhashis Ghosal, Aad van der Vaart

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 697-723

Subjects: Statistics Theory (math.ST)

[410] arXiv:0708.1890 [pdf, other]

Title: On the design-consistency property of hierarchical Bayes estimators in finite population sampling

P. Lahiri, Kanchan Mukherjee

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 724-737

Subjects: Statistics Theory (math.ST)

[411] arXiv:0708.1892 [pdf, other]

Title: On rates of convergence for posterior distributions in infinite-dimensional models

Stephen G. Walker, Antonio Lijoi, Igor Prünster

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 738-746

Subjects: Statistics Theory (math.ST)

[412] arXiv:0708.1896 [pdf, other]

Title: Resolvable designs with large blocks

J. P. Morgan, Brian H. Reck

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 747-771

Subjects: Statistics Theory (math.ST)

[413] arXiv:0708.1897 [pdf, other]

Title: Morita classes of algebras in modular tensor categories

Liang Kong, Ingo Runkel

Comments: 28 pages, several figures, version to appear in Adv. Math

Journal-ref: Adv. Math. 219 (2008) 1548-1576

Subjects: Category Theory (math.CT); High Energy Physics - Theory (hep-th); Quantum Algebra (math.QA)

[414] arXiv:0708.1900 [pdf, other]

Title: Gegenbauer tau methods with and without spurious eigenvalues

Marios Charalambides, Fabian Waleffe

Comments: Revised version, includes a new figure. Clarified introduction and includes precise definitions. Resubmitted to SIAM J. Numer. Anal

Subjects: Numerical Analysis (math.NA); Spectral Theory (math.SP)

[415] arXiv:0708.1901 [pdf, other]

Title: On the number of support points of maximin and Bayesian optimal designs

Dietrich Braess, Holger Dette

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 772-792

Subjects: Statistics Theory (math.ST)

[416] arXiv:0708.1905 [pdf, other]

Title: A random walk approximation to fractional Brownian motion

Tom Lindstrøm

Subjects: Probability (math.PR)

[417] arXiv:0708.1908 [pdf, other]

Title: Complete enumeration of two-Level orthogonal arrays of strength $d$ with $d+2$ constraints

John Stufken, Boxin Tang

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 793-814

Subjects: Statistics Theory (math.ST)

[418] arXiv:0708.1913 [pdf, other]

Title: Uniformly root-$N$ consistent density estimators for weakly dependent invertible linear processes

Anton Schick, Wolfgang Wefelmeyer

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 815-843

Subjects: Statistics Theory (math.ST)

[419] arXiv:0708.1919 [pdf, other]

Title: Metrics for sparse graphs

B. Bollobas, O. Riordan

Comments: 83 pages, 1 figure. References updated and one corrected

Journal-ref: in Surveys in Combinatorics 2009, LMS Lecture Notes Series 365, CUP 2009, pp. 211--287

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

[420] arXiv:0708.1921 [pdf, other]

Title: Cartesian Bicategories II

A. Carboni, G. M. Kelly, R. F. C Walters, R.J. Wood

Subjects: Category Theory (math.CT)

[421] arXiv:0708.1922 [pdf, other]

Title: Cross Curvature Flow on Locally Homogenous Three-manifolds (I)

Xiaodong Cao, Yilong Ni, Laurent Saloff-Coste

Comments: 18 pages

Subjects: Differential Geometry (math.DG)

[422] arXiv:0708.1923 [pdf, other]

Title: Some graph properties determined by edge zeta functions

Christopher K. Storm

Comments: 15 pages, 3 figures, 26 references

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

[423] arXiv:0708.1925 [pdf, other]

Title: Frobenius Objects in Cartesian Bicategories

R. F. C. Walters, R. J. Wood

Subjects: Category Theory (math.CT)

[424] arXiv:0708.1927 [pdf, other]

Title: Stochastic bounds for two-layer loss systems

Matthieu Jonckheere (Eindhoven University of Technology), Lasse Leskela (Helsinki University of Technology)

Comments: Revised content

Subjects: Probability (math.PR)

[425] arXiv:0708.1929 [pdf, other]

Title: Rank-based estimation for all-pass time series models

Beth Andrews, Richard A. Davis, F. Jay Breidt

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

Journal-ref: Annals of Statistics 2007, Vol. 35, No. 2, 844-869

Subjects: Statistics Theory (math.ST)

[426] arXiv:0708.1930 [pdf, other]

Title: A Two-Parameter Family of Infinite-Dimensional Diffusions in the Kingman Simplex

Leonid Petrov

Comments: LaTex, 20 pages; v2: minor typos fixed, v3: title changed, discussion clarified and improved (conclusions unchanged), added new results about degenerate series of parameters

Journal-ref: Functional Analysis and Its Applications, Vol. 43, No. 4, pp. 279-296, 2009

Subjects: Probability (math.PR)

[427] arXiv:0708.1937 [pdf, other]

Title: The asymptotic geometry of right-angled Artin groups, I

Mladen Bestvina, Bruce Kleiner, Michah Sageev

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

[428] arXiv:0708.1938 [pdf, other]

Title: Magnetic flows on Sol-manifolds: dynamical and symplectic aspects

Leo T. Butler, Gabriel P. Paternain

Comments: Final version to appear in CMP. Two new remarks have been added as well as some numerical calculations for metric entropy

Subjects: Dynamical Systems (math.DS); Symplectic Geometry (math.SG)

[429] arXiv:0708.1940 [pdf, other]

Title: H\"older forms and integrability of invariant distributions

Slobodan N. Simić

Comments: The paper has been revised. To appear in Discrete and Continuous Dynamical Systems

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

[430] arXiv:0708.1943 [pdf, other]

Title: On the Hopf-Schur group of a field

Eli Aljadeff, Juan Cuadra, Shlomo Gelaki, Ehud Meir

Comments: 12 pages, latex file

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

[431] arXiv:0708.1951 [pdf, other]

Title: On bilinear biquandles

Sam Nelson, Jacquelyn L. Rische

Comments: 9 pages. To appear in Colloquium Mathematicum

Journal-ref: Colloq. Math. 112 (2008) 279-289.

Subjects: Quantum Algebra (math.QA); Geometric Topology (math.GT)

[432] arXiv:0708.1965 [pdf, other]

Title: Tail Asymptotics and Estimation for Elliptical Distributions

Enkelejd Hashorva

Comments: 14 pages, minor changes, typos removed

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

[433] arXiv:0708.1968 [pdf, other]

Title: Some quasinilpotent generators of the hyperfinite $\mathrm{II}_1$ factor

Gabriel H. Tucci

Comments: 26 pages

Subjects: Operator Algebras (math.OA); Functional Analysis (math.FA)

[434] arXiv:0708.1969 [pdf, other]

Title: Linear Algebraic Groups without the Normalizer Theorem

Daniel Allcock

Comments: 6 pages

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

[435] arXiv:0708.1978 [pdf, other]

Title: Parabolic equations with the second order Cauchy conditions on the boundary

Nikolai Dokuchaev

Comments: 7 pages

Journal-ref: Journal of Physics A: Mathematical and Theoretical. (2007) 40, pp. 12409--12413

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

[436] arXiv:0708.1979 [pdf, other]

Title: Advances in Cardinal Arithmetic

Saharon Shelah

Journal-ref: In: Finite and Infinite Combinatorics in Sets and Logic, 355-383, Kluwer Academic Publishers 1993, N.W. Sauer et al (eds.)

Subjects: Logic (math.LO)

[437] arXiv:0708.1980 [pdf, other]

Title: The first almost free Whitehead group

Saharon Shelah

Subjects: Logic (math.LO)

[438] arXiv:0708.1981 [pdf, other]

Title: On some problems in general topology

Saharon Shelah

Journal-ref: In: Set Theory, Boise ID, 1992-1994, Contemporary Mathematics, vol 192, p. 91-101

Subjects: Logic (math.LO)

[439] arXiv:0708.1982 [pdf, other]

Title: Abelian and non-abelian second cohomologies of quantized enveloping algebras

Akira Masuoka

Comments: 40 Pages, the final version to appear in J. Algebra; mainly, typos corrected

Subjects: Quantum Algebra (math.QA)

[440] arXiv:0708.1984 [pdf, other]

Title: Density is at most the spread of the square

Saharon Shelah

Subjects: Logic (math.LO)

[441] arXiv:0708.1990 [pdf, other]

Title: Rational singularities associated to pairs

Karl Schwede, Shunsuke Takagi

Comments: 31 pages; v.4: a minor mistake in the characteristic p theory is corrected, see Remark 1.1 for details

Journal-ref: Michigan Math. J. 57 (2008), 625--658

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

[442] arXiv:0708.1992 [pdf, other]

Title: Distance-regular graphs of $q$-Racah type and the $q$-tetrahedron algebra

Tatsuro Ito, Paul Terwilliger

Comments: 15 pages

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

[443] arXiv:0708.1999 [pdf, other]

Title: Bi-Legendrian manifolds and paracontact geometry

Beniamino Cappelletti Montano

Comments: to appear in Int. J. Geom. Meth. Mod. Phys

Journal-ref: Int. J. Geom. Meth. Mod. Phys. 20 (2009), 1081-1105

Subjects: Differential Geometry (math.DG)

[444] arXiv:0708.2003 [pdf, other]

Title: The logarithmic Sobolev inequality along the Ricci flow in dimension 2

Rugang Ye

Comments: 11 pages

Subjects: Differential Geometry (math.DG)

[445] arXiv:0708.2005 [pdf, other]

Title: The logarithmic Sobolev inequality along the Ricci flow: the case $\lambda_0(g_0)=0$

Rugang Ye

Comments: 6 pages

Subjects: Differential Geometry (math.DG)

[446] arXiv:0708.2008 [pdf, other]

Title: The Log Entropy Functional Along the Ricci Flow

Rugang Ye

Comments: A typo in the monotonicity inequality for the log entropy functional is corrected. Namely the factor 1/(16 ω) should be (4 ω)/n. (From the given computations it is obvious that this number should be (4ω)/n.)

Subjects: Differential Geometry (math.DG)

[447] arXiv:0708.2011 [pdf, other]

Title: Well-posedness and scattering for the KP-II equation in a critical space

Martin Hadac, Sebastian Herr, Herbert Koch

Comments: 28 pages; v3: erratum included

Journal-ref: Ann. I. H. Poincare - AN (2009), Vol. 26, No. 3, pp. 917-941; Erratum: Ann. I. H. Poincare - AN (2010), Vol. 27, No. 3, pp. 971-972

Subjects: Analysis of PDEs (math.AP)

[448] arXiv:0708.2022 [pdf, other]

Title: p-adic Monodromy of the Universal Deformation of a HW-cyclic Barsotti-Tate Group

Yichao Tian

Comments: 36 pages, part of the author's thesis

Subjects: Algebraic Geometry (math.AG)

[449] arXiv:0708.2023 [pdf, other]

Title: Nonantagonistic noisy duels of discrete type with an arbitrary number of actions

Lyubov N. Positselskaya

Comments: LaTeX 2e, 22 pages; replaced to correct TeXnical mistakes and typos

Subjects: Optimization and Control (math.OC); Computer Science and Game Theory (cs.GT); Probability (math.PR)

[450] arXiv:0708.2026 [pdf, other]

Title: Derivative of BICM Mutual Information

Albert Guillen I Fabregas, Alfonso Martinez

Comments: submitted to the IET Electronics Letters. 4 pages, 1 figure

Subjects: Information Theory (cs.IT)