71 citations · 229 across the 7 of their papers we have counts for
7 papers
Bifurcation and fine structure phenomena in critical collapse of a self-gravitating -field
Peter C. Aichelburg, Piotr Bizon, Zbislaw Tabor
Building on previous work on the critical behavior in gravitational collapse of the self-gravitating SU(2) -field and using high precision numerical methods we uncover a fine st…
From simple to complex networks: inherent structures, barriers and valleys in the context of spin glasses
Z. Burda, A. Krzywicki, O. C. Martin +1
Given discrete degrees of freedom (spins) on a graph interacting via an energy function, what can be said about the energy local minima and associated inherent structures? Using th…
On vacuum gravitational collapse in nine dimensions
P. Bizoń, T. Chmaj, A. Rostworowski +2
We consider the vacuum gravitational collapse for cohomogeneity-two solutions of the nine dimensional Einstein equations. Using combined numerical and analytical methods we give ev…
On blowup for semilinear wave equations with a focusing nonlinearity
Piotr Bizoń, Tadeusz Chmaj, Zbislaw Tabor
In this paper we report on numerical studies of formation of singularities for the semilinear wave equations with a focusing power nonlinearity in three space…
On blowup for Yang-Mills fields
P. Bizoń, Z. Tabor
We study development of singularities for the spherically symmetric Yang-Mills equations in dimensional Minkowski spacetime for (the critical dimension) and (the…
Formation of singularities for equivariant 2+1 dimensional wave maps into the two-sphere
Piotr Bizoń, Tadeusz Chmaj, Zbislaw Tabor
In this paper we report on numerical studies of the Cauchy problem for equivariant wave maps from 2+1 dimensional Minkowski spacetime into the two-sphere. Our results provide stron…