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DM
2011
192views Education» more  DM 2011»
15 years 1 months ago
Loose Hamilton cycles in hypergraphs
We prove that any k-uniform hypergraph on n vertices with minimum degree at least n 2(k−1) + o(n) contains a loose Hamilton cycle. The proof strategy is similar to that used by K...
Peter Keevash, Daniela Kühn, Richard Mycroft,...
CORR
2010
Springer
312views Education» more  CORR 2010»
15 years 1 months ago
Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only O(log n) qubits, but for which any classical (randomized, bounded-error) ...
Bo'az Klartag, Oded Regev
JAT
2011
65views more  JAT 2011»
15 years 1 months ago
Entropy numbers of embeddings of some 2-microlocal Besov spaces
We investigate compactness and asymptotic behaviour of the entropy numbers of embeddings B s1,s1 p1,q1 (Rn , U) → B s2,s2 p2,q2 (Rn , U) . Here Bs,s p,q (Rn, U) denotes a 2-micr...
Hans-Gerd Leopold, Leszek Skrzypczak
JMLR
2011
188views more  JMLR 2011»
15 years 1 months ago
Linking Granger Causality and the Pearl Causal Model with Settable Systems
The causal notions embodied in the concept of Granger causality have been argued to belong to a different category than those of Judea Pearl’s Causal Model, and so far their re...
Halbert White, Karim Chalak, Xun Lu
MLQ
2011
15 years 1 months ago
Weak Borel chromatic numbers
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...
Stefan Geschke