output
19942026
most citedBrownian distance covariance

857 citations

Showing 2004Show all

15 papers · 1 filter

math-ph2004★ 86 cited

Sufficiency in quantum statistical inference

Anna Jencova, Denes Petz

This paper attempts to develop a theory of sufficiency in the setting of non-commutative algebras parallel to the ideas in classical mathematical statistics. Sufficiency of a coars…

math.QA2004★ 1 cited

A quantum homogeneous space of nilpotent matrices

M. Domokos

A quantum deformation of the adjoint action of the special linear group on the variety of nilpotent matrices is introduced. New non-embedded quantum homogeneous spaces are obtained…

math.PR2004★ 1 cited

On a multivariate version of Bernstein's inequality

P. Major

We prove a multivariate version of Bernstein's inequality about the probability that degenerate -statistics take a value larger than some number . This is an improvement of f…

math.GT2004★ 35 cited

An exotic smooth structure on CP^2+6CP^2-bar

Andras I Stipsicz, Zoltan Szabo

We construct smooth 4-manifolds homeomorphic but not diffeomorphic to CP^2+6CP^2-bar.

math.OA2004★ 3 cited

Equilibrium states and their entropy densities in gauge-invariant C*-systems

N. Akiho, F. Hiai, D. Petz

A gauge-invariant C*-system is obtained as the fixed point subalgebra of the infinite tensor product of full matrix algebras under the tensor product unitary action of a compact gr…

math.AT2004

The cobordism class of the multiple points of immersions

Gábor Braun

Let f: M -> N be an even codimensional immersion between smooth manifolds. We derive an explicit formula for the Pontrjagin numbers and signature of the multiple point manifolds in…

math.CO2004★ 56 cited

Largest family without A union B contained in C intersect D

Annalisa De Bonis, Gyula O. H. Katona, Konrad J. Swanepoel

Let F be a family of subsets of an n-element set not containing four distinct members such that A union B is contained in C intersect D. It is proved that the maximum size of F und…

math.CO2004★ 2 cited

Local chromatic number, Ky Fan's theorem, and circular colorings

Gabor Simonyi, Gabor Tardos

The local chromatic number of a graph was introduced by Erdos et al. in 1986. It is in between the chromatic and fractional chromatic numbers. This motivates the study of the local…

math.ST2004★ 182 cited

The efficiency of the estimators of the parameters in GARCH processes

István Berkes, Lajos Horváth

We propose a class of estimators for the parameters of a GARCH(p,q) sequence. We show that our estimators are consistent and asymptotically normal under mild conditions. The quasi-…

math.GR2004★ 13 cited

Counting primes, groups and manifolds

D. Goldfeld, A. Lubotzky, N. Nikolov +1

Let be the modular group and let be the number of congruence subgroups of of index at most . We prove that $\lim\limits_{n\to \infty} \fr…

math.LO2004

Cardinal sequences and Cohen real extensions

István Juhász, Saharon Shelah, Lajos Soukup +1

We show that if we add any number of Cohen reals to the ground model then, in the generic extension, a locally compact scattered space has at most (2^{aleph_0})^V many levels of si…

math.SG2004★ 60 cited

Ozsvath-Szabo invariants and tight contact three-manifolds, I

Paolo Lisca, Andras I Stipsicz

Let S^3_r(K) be the oriented 3--manifold obtained by rational r-surgery on a knot K in S^3. Using the contact Ozsvath-Szabo invariants we prove, for a class of knots K containing a…

math.PR2004

Hydrodynamic limit for perturbation of a hyperbolic equilibrium point in two-component systems

Benedek Valko

We consider one-dimensional, locally finite interacting particle systems with two conservation laws. The models have a family of stationary measures with product structure and we a…

math.PR2004★ 1 cited

Maximal local time of a d-dimensional simple random walk on subsets

Endre Csáki, Antónia Földes, Pál Révész

Strong theorems are given for the maximal local time on balls and subspaces for the -dimensional simple symmetric random walk.

math.PR2004

On Vervaat and Vervaat-error type processes for partial sums and renewals

Endre Csáki, Miklós Csörgő, Zdzisław Rychlik +1

We study the asymptotic behaviour of stochastic processes that are generated by sums of partial sums of i.i.d. random variables and their renewals. We conclude that these processes…