Zobrazeno 1 - 10
of 238
pro vyhledávání: '"Mauldin, R. Daniel"'
We present methods for computing the distance from a Boolean polynomial on $m$ variables of degree $m-3$ (i.e., a member of the Reed-Muller code $RM(m-3,m)$) to the space of lower-degree polynomials ($RM(m-4,m)$). The methods give verifiable certific
Externí odkaz:
http://arxiv.org/abs/2106.13910
Autor:
Goldstein, Daniel, Mauldin, R. Daniel
H. Steinhaus asked in the 1950's whether there exists a set in the plane R^2 meeting every isometric copy of Z^2 in precisely one point. Such a "Steinhaus set" was constructed by Jackson and Mauldin. What about three-space R^3? Is there a subset of R
Externí odkaz:
http://arxiv.org/abs/1304.8047
In 1950 Maharam asked whether every disintegration of a $\sigma$-finite measure into $\sigma$-finite measures is necessarily uniformly $\sigma$-finite. Over the years under special conditions on the disintegration, the answer was shown to be yes. How
Externí odkaz:
http://arxiv.org/abs/1303.3543
Fix a choice and ordering of four pairwise non-adjacent vertices of a parallelepiped, and call a motif a sequence of four points in R^3 that coincide with these vertices for some, possibly degenerate, parallelepiped whose edges are parallel to the ax
Externí odkaz:
http://arxiv.org/abs/1210.6667
Publikováno v:
Trans. Amer. Math. Soc. 366 (2014), 3027-3041
We determine the constructive dimension of points in random translates of the Cantor set. The Cantor set "cancels randomness" in the sense that some of its members, when added to Martin-Lof random reals, identify a point with lower constructive dimen
Externí odkaz:
http://arxiv.org/abs/1205.4821
Autor:
Ghenciu, Andrei E., Mauldin, R. Daniel
We present the main concepts and results for Graph Directed Markov Systems that have a finitely irreducible incidence matrix. We then see how these results change when the incidence matrix is not assumed to be finitely irreducible.
Externí odkaz:
http://arxiv.org/abs/0711.1182
Autor:
Buczolich, Zoltan, Mauldin, R. Daniel
We answer a question of J. Bourgain. We show that the sequence n^2 is L^1-universally bad.
Comment: 60 pages
Comment: 60 pages
Externí odkaz:
http://arxiv.org/abs/math/0504067
Autor:
Dougherty, Randall, Mauldin, R. Daniel
Publikováno v:
Trans. Amer. Math. Soc. 359 (2007), 6155-6166
Let mu(r) be the Bernoulli measure on the Cantor space given as the infinite product of two-point measures with weights r and 1-r. It is a long-standing open problem to characterize those r and s such that mu(r) and mu(s) are topologically equivalent
Externí odkaz:
http://arxiv.org/abs/math/0411301