Mathematics

Authors and titles for January 2007

[901] arXiv:math/0701751 [pdf, other]

Title: Free two-step nilpotent groups whose automorphism group is complete

Vladimir Tolstykh

Comments: A pre-publication preprint of a paper published in `2001

Subjects: Group Theory (math.GR)

[902] arXiv:math/0701752 [pdf, other]

Title: What does the automorphism group of a free abelian group A know about A?

Vladimir Tolstykh

Comments: A pre-publication preprint of a paper published in `2005

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

[903] arXiv:math/0701753 [pdf, other]

Title: The \bar\partial_b-complex on decoupled boundaries in C^n

Alexander Nagel, Elias Stein

Comments: 65 pages, published version

Journal-ref: Ann. of Math. (2) 164 (2006), no. 2, 649--713

Subjects: Classical Analysis and ODEs (math.CA)

[904] arXiv:math/0701754 [pdf, other]

Title: Large deviations for voter model occupation times in two dimensions

G. Maillard, T. Mountford

Comments: 14 pages

Subjects: Probability (math.PR)

[905] arXiv:math/0701755 [pdf, other]

Title: Osculating Paths and Oscillating Tableaux

Roger E. Behrend

Comments: 65 pages; expanded version

Journal-ref: Electron. J. Combin. 15 (2008) Research Paper 7

Subjects: Combinatorics (math.CO)

[906] arXiv:math/0701756 [pdf, other]

Title: Applications of M.G. Krein's Theory of Regular Symmetric Operators to Sampling Theory

Luis O. Silva, Julio H. Toloza

Comments: 15 pages; v2: minor changes in abstract, addition of PACS numbers, changes in some keywords, some few changes in the introduction, correction of the proof of the last theorem, and addition of some comments at the end of the fourth section

Subjects: Spectral Theory (math.SP); Classical Analysis and ODEs (math.CA)

[907] arXiv:math/0701757 [pdf, other]

Title: A multiplicity result for the problem $\delta d \xi = f'(<\xi,\xi>)\xi$

Antonio Azzollini

Comments: 24 pages

Subjects: Analysis of PDEs (math.AP)

[908] arXiv:math/0701758 [pdf, other]

Title: Dynamical twists in Hopf algebras

Juan Martin Mombelli

Comments: 21 pages, minor misprints corrected, to appear in Int. Math. Res. Not

Journal-ref: Int. Math. Res. Not. (2007) vol. 2007

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

[909] arXiv:math/0701759 [pdf, other]

Title: Derivation of the Euler-Rodrigues formula for three-dimensional rotations from the general formula for four-dimensional rotations

Johan Ernest Mebius

Comments: 5 references; about 2500 words

Subjects: General Mathematics (math.GM)

[910] arXiv:math/0701760 [pdf, other]

Title: Spatially Inhomogeneous Bernstein's Problem and De Giorgi's Conjecture

Bendong Lou

Comments: 5 pages

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

[911] arXiv:math/0701761 [pdf, other]

Title: A Constructive Approach to the Estimation of Dimension Reduction Directions

Yingcun Xia

Comments: 40 pages, 8 figures

Subjects: Statistics Theory (math.ST)

[912] arXiv:math/0701762 [pdf, other]

Title: A Recipe for Symbolic Geometric Computing: Long Geometric Product, BREEFS and Clifford Factorization

Hongbo Li

Subjects: Metric Geometry (math.MG)

[913] arXiv:math/0701763 [pdf, other]

Title: A note on affine quotients and equivariant double fibrations

Kyo Nishiyama

Comments: 15 pages. Proceedings of "Infinite Dimensional Harmonic Analysis III (Tübingen, 2003/9/14 -- 9/21)"; Correction in references

Journal-ref: Infinite Dimensional Harmonic Analysis III, pp. 97--212, World Sci. Publ., Hackensack, NJ, 2005

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

[914] arXiv:math/0701764 [pdf, other]

Title: Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian

Kyo Nishiyama

Comments: 17 pages; completely revised and add references

Journal-ref: Geometriae Dedicata, 143(2009), no.~1, 19 -- 35

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

[915] arXiv:math/0701765 [pdf, other]

Title: Knot exteriors with additive Heegaard genus and Morimoto's Conjecture

Tsuyoshi Kobayashi, Yo'av Rieck

Comments: 14 pages

Subjects: Geometric Topology (math.GT)

[916] arXiv:math/0701766 [pdf, other]

Title: Knots with g(E(K)) = 2 and g(E(K#K#K)) = 6 and Morimoto's Conjecture

Tsuyoshi Kobayashi, Yo'av Rieck

Comments: 6 pages. Final version

Subjects: Geometric Topology (math.GT)

[917] arXiv:math/0701767 [pdf, other]

Title: Operads revisited

Ezra Getzler (Northwestern University)

Comments: 25 pages

Journal-ref: Algebra, arithmetic, and geometry: in honor of Yu. I. Manin. Vol. I, 675-698, Progr. Math., 269, Birkh\"auser Boston, Inc., Boston, MA, 2009

Subjects: Category Theory (math.CT); Mathematical Physics (math-ph)

[918] arXiv:math/0701768 [pdf, other]

Title: Orbifold index and equivariant K-homology

Ulrich Bunke

Comments: minor correction in Sec.3.3

Subjects: K-Theory and Homology (math.KT)

[919] arXiv:math/0701769 [pdf, other]

Title: A counterexample to $C^{2,1}$ regularity for parabolic fully nonlinear equations

Luis A. Caffarelli, Ulisse Stefanelli

Comments: 15 pages, 5 figures

Subjects: Analysis of PDEs (math.AP)

[920] arXiv:math/0701770 [pdf, other]

Title: Adaptive wavelet based estimator of the memory parameter for stationary Gaussian processes

Jean-Marc Bardet (SAMOS, Ces), Hatem Bibi (SAMOS, Ces), Abdellatif Jouini (Département De Mathématiques)

Journal-ref: Bernoulli 14, 2 (2008) xx-xx

Subjects: Statistics Theory (math.ST)

[921] arXiv:math/0701771 [pdf, other]

Title: On the Number of Planar Orientations with Prescribed Degrees

S. Felsner, F. Zickfeld

Comments: 38 pages, 22 figures

Subjects: Combinatorics (math.CO)

[922] arXiv:math/0701772 [pdf, other]

Title: Equations in the Hadamard ring of rational functions

Andrea Ferretti, Umberto Zannier

Comments: 18 pages, LaTeX

Subjects: Number Theory (math.NT)

[923] arXiv:math/0701773 [pdf, other]

Title: A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle

Ahmad El Soufi (LMPT), Hector Giacomini (LMPT), Mustapha Jazar

Journal-ref: Duke Mathematical Journal 135(1) (2006) 181--202

Subjects: Metric Geometry (math.MG)

[924] arXiv:math/0701774 [pdf, other]

Title: A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions

Ahmad El Soufi (LMPT), Mustapha Jazar, Régis Monneau (CERMICS)

Journal-ref: Annales de l'Institut Henri Poincar\'{e} Analyse non lin\'{e}aire 24 (2007) 17--39

Subjects: Analysis of PDEs (math.AP)

[925] arXiv:math/0701775 [pdf, other]

Title: Global Low Regularity Solutions of Quasi-linear Wave Equations

Yi Zhou, Zhen Lei

Comments: We prove global existence and uniqueness of low regularity solutions for quasi-linear wave equations in radial symmetric case. 53 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)

[926] arXiv:math/0701776 [pdf, other]

Title: A characterization of the modular units

Amanda Folsom

Subjects: Number Theory (math.NT)

[927] arXiv:math/0701777 [pdf, other]

Title: Laplacian eigenvalues functionals and metric deformations on compact manifolds

Ahmad El Soufi (LMPT), Said Ilias (LMPT)

Journal-ref: Journal of Geometry and Physics 58, 1 (2008) 89 -- 104

Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)

[928] arXiv:math/0701778 [pdf, other]

Title: A_\infty-subalgebras and natural transformations

Paul Seidel

Subjects: K-Theory and Homology (math.KT); Rings and Algebras (math.RA); Symplectic Geometry (math.SG)

[929] arXiv:math/0701779 [pdf, other]

Title: Generalized Intersection Bodies are not Equivalent

Emanuel Milman

Comments: 18 pages, added a section with equivalent formulations using Fourier Transforms and Embeddings into L_p for p<0

Subjects: Functional Analysis (math.FA)

[930] arXiv:math/0701780 [pdf, other]

Title: Spectral analysis of magnetic Laplacians on conformally cusp manifolds

Sylvain Golénia, Sergiu Moroianu

Comments: 52 pages. Revised version: references added. To appear in Annales Henri Poincaré

Journal-ref: Ann. Henri Poincar\'e 9 (2008), 131-179

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

[931] arXiv:math/0701781 [pdf, other]

Title: Learning Trigonometric Polynomials from Random Samples and Exponential Inequalities for Eigenvalues of Random Matrices

Karlheinz Groechenig, Benedikt M. Poetscher, Holger Rauhut

Comments: revised version

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

[932] arXiv:math/0701782 [pdf, other]

Title: A note on relative duality for Voevodsky motives

Luca Barbieri-Viale, Bruno Kahn (IMJ)

Journal-ref: Tohoku Math. Journal 60, 2 (2008) 349--356

Subjects: Algebraic Geometry (math.AG)

[933] arXiv:math/0701783 [pdf, other]

Title: Exact Lagrangian submanifolds in simply-connected cotangent bundles

Kenji Fukaya, Paul Seidel, Ivan Smith

Comments: 28 pages, 3 figures. Version 2 -- derivation and discussion of the spectral sequence considerably expanded. Other minor changes

Subjects: Symplectic Geometry (math.SG)

[934] arXiv:math/0701784 [pdf, other]

Title: Rayleigh-Ritz majorization error bounds with applications to FEM

Andrew V. Knyazev, Merico E. Argentati

Comments: 17 pages. Accepted to SIMAX

Journal-ref: SIAM. J. Matrix Anal. & Appl. Volume 31, Issue 3, pp. 1521-1537 (2010)

Subjects: Numerical Analysis (math.NA)

[935] arXiv:math/0701785 [pdf, other]

Title: A Centre-Stable Manifold for the Focussing Cubic NLS in $R^{1+3}$

Marius Beceanu

Comments: 56 pages

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

[936] arXiv:math/0701786 [pdf, other]

Title: Global Well-Posedness and Non-linear Stability of Periodic Traveling Waves for a Schrodinger-Benjamin-Ono System

Jaime Angulo, Carlos Matheus, Didier Pilod

Comments: 38 pages; typos corrected and global well-posedness theorem (in the continuous case) reworked to follow closely the arguments of Colliander, Holmes and Tzirakis

Subjects: Analysis of PDEs (math.AP)

[937] arXiv:math/0701787 [pdf, other]

Title: Free diffusions and Matrix models with strictly convex interaction

A. Guionnet, D. Shlyakhtenko

Subjects: Operator Algebras (math.OA); Probability (math.PR)

[938] arXiv:math/0701788 [pdf, other]

Title: Polish group actions and admissible sets

B. Majcher-Iwanow

Comments: 34 pages, LaTeX

Subjects: Logic (math.LO)

[939] arXiv:math/0701789 [pdf, other]

Title: Twisted K-theory, old and new

Max Karoubi (Paris University)

Comments: 36 pages, see also this http URL. The revised version is better typed, contains minor revisions and more references. There is also a short historical survey of the subject at the end. To be published in the Proceedings of the conference in Valladolid on noncommutative geometry

Subjects: K-Theory and Homology (math.KT); High Energy Physics - Theory (hep-th); Algebraic Topology (math.AT)

[940] arXiv:math/0701790 [pdf, other]

Title: Deformations in G_2 Manifolds

Selman Akbulut, Sema Salur

Comments: 13 pages

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

[941] arXiv:math/0701791 [pdf, other]

Title: Linear versus Non-linear Acquisition of Step-Functions

Boris Ettinger, Niv Sarig, Yosef Yomdin

Comments: Major revision, added chapters 4, 5. 34 pages, 3 figures

Subjects: Classical Analysis and ODEs (math.CA); Computer Vision and Pattern Recognition (cs.CV)

[942] arXiv:math/0701792 [pdf, other]

Title: Cyclic sieving of noncrossing partitions for complex reflection groups

David Bessis, Victor Reiner

Comments: 23 pages; final version to appear in Annals of Combinatorics

Subjects: Combinatorics (math.CO); Group Theory (math.GR)

[943] arXiv:math/0701793 [pdf, other]

Title: On the Upper bound of the Multiplicity Conjecture

Tony J. Puthenpurakal

Comments: 6 pages, Many typos corrected. An additional section on examples added. To appear in Proc. of AMS

Subjects: Commutative Algebra (math.AC)

[944] arXiv:math/0701794 [pdf, other]

Title: Ill-Posedness for Semilinear Wave Equations with Very Low Regularity

Daoyuan Fang, Chengbo Wang

Comments: 11 pages, no figures; Mathematische Zeitschrift, accepted

Journal-ref: Mathematische Zeitschrift, 259(2008), No. 2, 343-353

Subjects: Analysis of PDEs (math.AP)

[945] arXiv:math/0701795 [pdf, other]

Title: Renyi Dimension and Gaussian Filtering II

Terry A. Loring

Comments: 20 pages. Added a section on a Gaussian Kernel version of the Renyi entropy sums. Stronger statements of the main theorems

Journal-ref: New York J. Math. 14 (2008) 577--599. http://nyjm.albany.edu/j/2008/14-26.html

Subjects: Functional Analysis (math.FA)

[946] arXiv:math/0701796 [pdf, other]

Title: Lower bound on the blow-up rate of the axisymmetric Navier-Stokes equations

Chiun-Chuan Chen, Robert M. Strain, Tai-Peng Tsai, Horng-Tzer Yau

Comments: 25 pages

Journal-ref: International Mathematics Research Notices, Vol. 2008

Subjects: Analysis of PDEs (math.AP)

[947] arXiv:math/0701797 [pdf, other]

Title: Homological dimension and critical exponent of Kleinian groups

Michael Kapovich

Comments: 38 pages

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

[948] arXiv:math/0701798 [pdf, other]

Title: Occupation laws for some time-nonhomogeneous Markov chains

Zach Dietz, Sunder Sethuraman

Comments: 24 pages, 2 figures

Subjects: Probability (math.PR)

[949] arXiv:math/0701799 [pdf, other]

Title: Noncommutative Balls and Mirror Quantum Spheres

Jeong Hee Hong, Wojciech Szymanski

Comments: 20 pages

Subjects: Operator Algebras (math.OA); Quantum Algebra (math.QA)

[950] arXiv:math/0701800 [pdf, other]

Title: Two Non-holonomic Lattice Walks in the Quarter Plane

Marni Mishna, Andrew Rechnitzer

Journal-ref: Theoret. Comput. Sci. 410(38-40): 3616-3630 (2009)

Subjects: Combinatorics (math.CO)