A relation between entropy monotonicity and Harnack inequalities (2007)
We generalize an entropy calculation of Perelman to the case of domains evolving inside a Ricciflow solution. In the case of Euclidean space as ambient manifold an interesting relation with Harnack...
Local monotonicity and mean value formulas for evolving Riemannian manifolds (2006)
Ecker, Klaus, Knopf, Dan, Ni, Lei, Topping, Peter
We derive identities for general flows of Riemannian metrics that may be regarded as local mean-value, monotonicity, or Lyapunov formulae. These generalize previous work of the first author for mean...
Mean Curvature Flow of Spacelike Hypersurfaces near Null Initial Data (2003)
We prove an interior estimate for the gradient function of spacelike hypersurfaces which move by mean curvature in a Lorentzian manifold. This estimate depends only on a time function which measures...
A note on the complexity of scheduling coupled tasks on a single processor (2001)
Blazewicz,Jacek, Ecker,Klaus, Kis,Tamás, Tanas,Michal
This paper considers a problem of coupled task scheduling on one processor, where all processing times are equal to 1, the gap has exact length h, precedence constraints are strict and the criterion...
Huisken, Gerhard, Ecker, Klaus
Spacelike hypersurfaces of prescribed mean curvature in cosmological space times are constructed as asymptotic limits of a geometric evolution equation. In particular, an alternative, constructive...
this paper, we study mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space without any restrictions on their behaviour at infinity. It turns out that some of the most...