Smooth shifts along trajectories of flows

Smooth Shifts

Let M be a smooth manifold and Φ be a smooth flow on M . We study the maps M → M generated by smooth shifts along trajectories of Φ, i.e the maps of a form h(x) = Φ(x, σ(x)) where σ is some smooth function on M . We will classify smooth shifts which induce diffeomorphisms ofM and prove contractibility of the set of such diffeomorphisms for large class of flows. These results will be applied to ...

Deletion along trajectories

Smooth shifts of visual attention

To examine whether visual attention shifts continuously across the visual field, we measured sensitivity to a small flash presented at various locations while the observer was tracking a moving target in an ambiguous apparent motion display. The sensitivity peaked near the target and the peak shifted smoothly along the apparent motion path. Since the peak-shift speed varied with the speed of th...

High-throughput screening flows along.

mouse medulloblastomas, which are cerebel-lar tumors that, in humans, occur primarily between 5 and 10 years of age 7. Because the tumors spread through the CNS, treatment consists of surgical resection, radiation to the entire brain and spine, and chemotherapy and, as a consequence, leaves survivors with debili-tating learning and neuroendocrine hormonal deficiencies. A potential implication o...

Entropy production along nonequilibrium quantum jump trajectories

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium thermodynamics. In this paper, we formulate quantum analogues for driven open quantum systems describable by quantum jump trajectories by applying a quantum stochastic thermodynamics. Our main conclus...