output
19942026
most citedBrownian distance covariance

857 citations

Showing 2007Show all

25 papers · 1 filter

math.CO2007

On types of growth for graph-different permutations

János Körner, Gábor Simonyi, Blerina Sinaimeri

We consider an infinite graph G whose vertex set is the set of natural numbers and adjacency depends solely on the difference between vertices. We study the largest cardinality of…

math.LO2007

Cardinal sequences of LCS spaces under GCH

Juan Carlos Martinez, Lajos Soukup

We give full characterization of the sequences of regular cardinals that may arise as cardinal sequences of locally compact scattered spaces under GCH. The proofs are based on cons…

math.CA2007

Failure of Wiener's property for positive definite periodic functions

Aline Bonami, Szilárd Gy. Révész

We say that Wiener's property holds for the exponent if we have that whenever a positive definite function belongs to for some , then necessarily bel…

math.CA2007★ 27 cited

Difference sets and the primes

Imre Z. Ruzsa, Tom Sanders

Suppose that A is a subset of {1,...,N} such that the difference between any two elements of A is never one less than a prime. We show that |A| = O(N exp(-c(log N)^{1/4})) for some…

math.SG2007★ 43 cited

On the existence of tight contact structures on Seifert fibered 3-manifolds

Paolo Lisca, Andras I. Stipsicz

We determine the closed, oriented Seifert fibered 3-manifolds which carry positive tight contact structures. Our main tool is a new non-vanishing criterion for the contact Ozsvath-…

math.RA2007

Factorization of Laurent series over commutative rings

Gyula Lakos

We generalize the Wiener-Hopf factorization of Laurent series to more general commutative coefficient rings, and we give explicit formulas for the decomposition. We emphasize the a…

gr-qc2007★ 45 cited

A twist in the geometry of rotating black holes: seeking the cause of acausality

Hajnal Andreka, Istvan Nemeti, Christian Wuthrich

We investigate Kerr-Newman black holes in which a rotating charged ring-shaped singularity induces a region which contains closed timelike curves (CTCs). Contrary to popular belief…

math.SG2007★ 1 cited

Symplectic surgeries and normal surface singularities

David T. Gay, Andras I. Stipsicz

We show that every negative definite configuration of symplectic surfaces in a symplectic 4--manifold has a strongly symplectically convex neighborhood. We use this to show that, i…

math.NT2007★ 23 cited

l-Adic representations associated to modular forms over imaginary quadratic fields

Tobias Berger, Gergely Harcos

Let pi be a regular algebraic cuspidal automorphic representation of GL(2) over an imaginary quadratic number field K such that the central character of pi is invariant under the n…

math.GR2007

On finite groups whose derived subgroup has bounded rank

Karoly Podoski, Balazs Szegedy

Let be a finite group with derived subgroup of rank . We prove that $\gzz\leq |G'|^{2r}$. Motivated by the results of I. M. Isaacs in \cite{isa} we show that if is capab…

math-ph2007★ 6 cited

Free energy density for mean field perturbation of states of a one-dimensional spin chain

Fumio Hiai, Milan Mosonyi, Hiromichi Ohno +1

Motivated by recent developments on large deviations in states of the spin chain, we reconsider the work of Petz, Raggio and Verbeure in 1989 on the variational expression of free…

math.RA2007★ 4 cited

The classification question for Leavitt path algebras

G. Abrams, P. N. Ánh, A. Louly +1

We prove an algebraic version of the Gauge-Invariant Uniqueness Theorem, a result which gives information about the injectivity of certain homomorphisms between -grade…

math.GT2007★ 11 cited

Floer homology and singular knots

Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo

We define Floer homology theories for oriented, singular knots in S^3 and show that one of these theories can be defined combinatorially for planar singular knots.

math.GM2007★ 1 cited

Self-similar and self-affine sets; measure of the intersection of two copies

Márton Elekes, Tamás Keleti, András Máthé

Let K be a self-similar or self-affine set in R^d, let μbe a self-similar or self-affine measure on it, and let G be the group of affine maps, similitudes, isometries or translatio…

quant-ph2007★ 8 cited

A limit relation for entropy and channel capacity per unit cost

I. Csiszar, F. Hiai, D. Petz

In a quantum mechanical model, Diosi, Feldmann and Kosloff arrived at a conjecture stating that the limit of the entropy of certain mixtures is the relative entropy as system size…

math.CA2007

Inequalities for Multivariate Polynomials

Szilárd Gy. Révész

We summarize researches - in great deal jointly with my host Y. Sarantopoulos and his PhD. students V. Anagnostopoulos and A. Pappas - started by a Marie Curie fellowship in 2001 a…

math.CA2007

Some polynomial inequalities on real normed spaces

Szilard Gy. Revesz

We consider various inequalities for polynomials, with an emphasis on the most fundamental inequalities of approximation theory. In the sequel a key role is played by the generaliz…

math.CA2007

Schur type inequalities for complex polynomials with no zeros in the unit disk

Szilárd Gy. Révész

Starting out from a question posed by T. Erdélyi and J. Szabados, we consider Schur-type inequalities for the classes of complex algebraic polynomials having no zeroes within the u…

math.NT2007★ 1 cited

Local-global principles for 1-motives

David Harari, Tamas Szamuely

Building upon our arithmetic duality theorems for 1-motives, we prove that the Manin obstruction related to a finite subquotient $\Be (X)$ of the Brauer group is the only obstructi…

math.CA2007

Invariant decomposition of functions with respect to commuting invertible transformations

Bálint Farkas, Viktor Harangi, Tamás Keleti +1

Consider a_1,a_2,...,a_n, arbitrary elements of R. We characterize those real functions f that decompose into the sum of a_j-periodic functions, i.e., f=f_1+...+f_n with D_{a_j}f(x…

math.NT2007★ 50 cited

The spectral decomposition of shifted convolution sums

Valentin Blomer, Gergely Harcos

We obtain a spectral decomposition of shifted convolution sums in Hecke eigenvalues of holomorphic or Maass cusp forms.

math.NT2007★ 2 cited

Multiplicative functions in arithmetic progressions

Antal Balog, Andrew Granville, K. Soundararajan

We develop a theory of multiplicative functions (with values inside or on the unit circle) in arithmetic progressions analogous to the well-known theory of primes in arithmetic pro…

math.GN2007

Resolvability vs. almost resolvability

Istvan Juhasz, Saharon Shelah, Lajos Soukup

A space X is kappa-resolvable (resp. almost kappa-resolvable) if it contains kappa dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subs…

math.CO2007★ 14 cited

Convergent Sequences of Dense Graphs I: Subgraph Frequencies, Metric Properties and Testing

C. Borgs, J. T. Chayes, L. Lovasz +2

We consider sequences of graphs and define various notions of convergence related to these sequences: ``left convergence'' defined in terms of the densities of homomorphisms from s…