Maltsev's vanishing conductivity conjecture for strongly chaotic trajectories

In a periodic energy surface, let the level-set trajectories induced by a magnetic field include strongly chaotic trajectories, meaning trajectories whose lifts to the plane have no strong asymptotic direction. Maltsev's conjecture. The contribution of strongly chaotic trajectories to the conductivity tensor tends to zero when $|B|$ grows, while remaining in a reasonable range; this includes the conductivity in the direction of the magnetic field itself. Strongly chaotic trajectories are among the non-typical trajectories occurring for a subset of magnetic-field directions of codimension at least one, and their general stochastic and transport properties were not known in the source.