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math.FA2023
The Equivariant Spectral Flow and Bifurcation for Functionals with Symmetries -- Part I
Marek Izydorek, Joanna Janczewska, Maciej Starostka +1
We consider bifurcation of critical points from a trivial branch for families of functionals that are invariant under the orthogonal action of a compact Lie group. Based on a recen…
math.FA2021
The Equivariant Spectral Flow and Bifurcation of Periodic Solutions of Hamiltonian Systems
Marek Izydorek, Joanna Janczewska, Nils Waterstraat
We define a spectral flow for paths of selfadjoint Fredholm operators that are equivariant under the orthogonal action of a compact Lie group as an element of the representation ri…