1The signature as topological invariants of an adiabatic evolition.2 Adiabatic evolution without a spetral gap.3Hahn Banach extension 4Quantum darwinism .
Barriers for turbulent crystals. 1Turbulent cascade. 2Intermitency grown. 3Closure problem for turbulence. 4 Transition to turbulence in parallel flow. 5 Difussion processes in one dimension. 6 An absorbing barrier. 7 An adiabatic barrier.