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19942026
most citedBrownian distance covariance

857 citations

Showing 2008Show all

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math.AT2008

On the -ring structure of infinite Grassmannians

Gyula Lakos

The -ring structure of certain infinite(-dimensional) Grassmannians is discussed using various algebraic and analytical methods but so that cellular arguments are avoided. These…

math.CO2008★ 4 cited

On the limit of large girth graph sequences

Gabor Elek

We prove that any involution-invariant probability measure on the space of trees with maximum degrees at most d arises as the local limit of a convergent large girth graph sequence…

math.CO2008★ 16 cited

A measure-theoretic approach to the theory of dense hypergraphs

Gábor Elek, Balázs Szegedy

In this paper we develop a measure-theoretic method to treat problems in hypergraph theory. Our central theorem is a correspondence principle between three objects: An increasing h…

math.NT2008

Algorithms for translational tiling

Mihail N. Kolountzakis, Mate Matolcsi

In this paper we study algorithms for tiling problems. We show that the conditions and of Coven and Meyerowitz, conjectured to be necessary and sufficient for a finit…

math.AG2008★ 7 cited

The cohomology of line bundles of splice-quotient singularities

András Némethi

We provide several results on splice-quotient singularities: a combinatorial expression of the dimension of the first cohomology of all `natural' line bundles, an equivariant Campi…

math-ph2008

Riemannian metrics on positive definite matrices related to means

F. Hiai, D. Petz

The Riemannian metric on the manifold of positive definite matrices is defined by a kernel function in the form when $\sum_iλ…

math.AG2008★ 18 cited

Galois sections for abelianized fundamental groups

David Harari, Tamas Szamuely

Given a smooth projective curve of genus at least 2 over a number field , Grothendieck's Section Conjecture predicts that the canonical projection from the étale fundamental…

math-ph2008★ 16 cited

A Geometrical Characterization of the Twin Paradox and its Variants

Gergely Szekely

The aim of this paper is to provide a logic-based conceptual analysis of the twin paradox (TwP) theorem within a first-order logic framework. A geometrical characterization of TwP…

math.AG2008★ 26 cited

On the Milnor fibers of cyclic quotient singularities

Andras Nemethi, Patrick Popescu-Pampu

The oriented link of the cyclic quotient singularity is orientation-preserving diffeomorphic to the lens space and carries the standard contact structu…

math.LO2008

Indestructible colourings and rainbow Ramsey theorems

Lajos Soukup

We give a negative answer to a question of Erdos and Hajnal: it is consistent that GCH holds and there is a colouring establishing su…

math.GT2008★ 3 cited

Singularities of projected immersions revisited

Gabor Lippner

Sz\H ucs proved in 2000 that the -tuple-point manifold of a generic immersion is cobordant to the -point manifold of its generic projection. Here we slightly extend…

math-ph2008★ 6 cited

Complementarity and the algebraic structure of 4-level quantum systems

D. Petz, A. Szanto, M. Weiner

The history of complementary observables and mutual unbiased bases is reviewed. A characterization is given in terms of conditional entropy of subalgebras. The concept of complemen…

math.PR2008★ 1 cited

On the local time of the asymmetric Bernoulli walk

Endre Csáki, Antónia Földes, Pál Révész

We study some properties of the local time of the asymmetric Bernoulli walk on the line. These properties are very similar to the corresponding ones of the simple symmetric random…

math.CA2008★ 7 cited

On the extremal rays of the cone of positive, positive definite functions

Philippe Jaming, Maté Matolcsi, Szilard Gy. Révesz

The aim of this paper is to investigate the cone of non-negative, radial, positive-definite functions in the set of continuous functions on . Elements of this cone admit a Ch…

math-ph2008★ 23 cited

Axiomatizing relativistic dynamics without conservation postulates

H. Andreka, J. X. Madarasz, I. Nemeti +1

A part of relativistic dynamics (or mechanics) is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connec…