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7 papers · 1 filter
A note on late-time tails of spherical nonlinear waves
Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski
We consider the long-time behavior of small amplitude solutions of the semilinear wave equation in odd spatial dimensions. We show that for the quadratic non…
Global integrability of cosmological scalar fields
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois gr…
A Survey on the Classical Limit of Quantum Dynamical Entropies
Valerio Cappellini
We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyp…
Supersymmetry and Lie groups
Maciej Trzetrzelewski
We construct all vacuum states of supersymmetric Yang-Mills quantum mechanics (for SU(N) group) and discuss their origin from the SU(N) real cohomology.
On Minkowskian Branching Structures
Leszek Wroński, Tomasz Placek
Contrary to its initial idea, Belnap's (1992) theory of Branching Space-Times (BST) has models in which histories do not resemble relativistic space-times or any other physical spa…
On asymptotic stability of the Skyrmion
Piotr Bizoń, Tadeusz Chmaj, Andrzej Rostworowski
We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal…