Using a conductive atomic force microscope (c-AFM) redox-writing technique, it is shown that it is possible to locally, and reversibly, pattern conducting, and nonconducting features on the surface of a low molecular weight aniline-based organic (semi)-conductor thin film using a commercial c-AFM. It is shown that application of a voltage between the tip and sample causes localized redox reacti...

We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a conductor for p-adic Galois representations with finite local monodromy over an equal characteristic discretely valued field, which agrees with the usual Swan conductor when the residue field is perfect. We also establis...

Tempo perception has been studied using many different methodologies in trying to isolate the motion patterns of a conductor in experimental stimuli. In doing so, the context of conducting has been ignored including secondary bodily motion, expression and communication from the conductor, and conducting gestures outside of the realm of tempo control. The aim of this study is to test the ability...

The initial temperature of a heat conductor is zero and its boundary temperature is kept equal to one at each time. The conductor contains a stationary isothermic surface, that is, an invariant spatial level surface of the temperature. In a previous paper, we proved that, if the conductor is bounded, then it must be a ball. Here, we prove that the boundary of the conductor is either a hyperplan...

We define a numerical invariant, the differential Swan conductor, for certain differential modules on a rigid analytic annulus over a p-adic field. This gives a definition of a conductor for p-adic Galois representations with finite local monodromy over an equal characteristic discretely valued field, which agrees with the usual Swan conductor when the residue field is perfect. We also establis...

According to the tradition, music ensembles are usually lead by a conductor who is the responsible to coordinate and guide the group under a specific musical criteria. Similarly, computer ensembles resort to a conductor to keep the synchronization and structural coordination of the performance, often with the assistance of software. Achieving integration and coherence in a networked performance...