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Nice labeling problem for event structures: a counterexample
Nice labeling problem counterexample Combinatorics
2011/8/26
Abstract: In this note, we present a counterexample to a conjecture of Rozoy and Thiagarajan from 1991 (called also the nice labeling problem) asserting that any (coherent) event structure with finite...
A counterexample to a Penrose inequality conjectured by Gibbons
counterexample Penrose inequality Gibbons
2011/3/3
We show that the Brill-Lindquist initial data provides a counterexample to a Riemannian Penrose inequality with charge conjectured by G. Gibbons. The observation illustrates a sub-additive characteris...
A counterexample for Improved Sobolev Inequalities over the 2-adic group
Sobolev Inequalities the 2-adic group
2010/11/9
On the framework of the 2-adic group Z_2, we study a Sobolev-like inequality where we estimate the L^2 norm by a geometric mean of the BV norm and the Besov space B(-1,\infty,\infty) norm. We first s...
Discussion on Lechicki and Spakowski's counterexample
Lechicki Spakowski's counterexample
2010/11/29
It is well-known that intersection of continuous correspondences can lost the continuity
property. Lechicki and Spakowski’s theorem says that intersection of H-lsc functions remains
H-lsc if the int...
Is Witsenhausen's counterexample a relevant toy?
Witsenhausen's counterexample relevant toy
2010/12/6
This paper answers a question raised by Doyle on the relevance of the Witsenhausen counterexample as a toy decentralized control problem. The question has two sides, the first of which focuses on the ...
Nonuniformizable skew cylinders. A counterexample to the simultaneous uniformization problem
Nonuniformizable skew cylinders counterexample
2010/10/29
At the end of 1960-ths Yu.S.Ilyashenko stated the problem: is it true that for any one-dimensional holomorphic foliation with singularities on a Stein manifold leaves intersecting a transversal disc ...