Resetting: state of the art and new developments

In the past few years, resetting has become a subject of immense interest cutting across disciplines. Most of the theoretical studies so far focused on instantaneous resetting or teleportation which is, however, a major impediment to any practical realisation. Indeed in the real world, taking a particle from one place to another requires finite time which tells us that a generalization of the existing theory to incorporate non-instantaneous resetting is very much in need. Such observations are also an integral part of the home range search where searches are usually conducted in the vicinity of a favored location, i.e., a home, which is visited repeatedly or the optical trap experiments where it takes time for the laser to manipulate the colloids. In this talk, I will first recap the classical resetting problem and then briefly review some of these recent developments in the field.

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