We combine the processes of resetting and first-passage to define \emph{first-passage resetting}, where a random walk fixed position is triggered by event itself. In an infinite domain, isotropic diffusion non-stationary, with number events growing time as $\sqrt{t}$. calculate resulting spatial probability distribution particle analytically, also obtain this geometric path decomposition. finit...

The model of binary aggregation with constant kernel is subjected to stochastic resetting: aggregates any size explode into monomers at independent times. These resetting times are Poisson distributed, and the rate process called rate. master equation yields a Bernoulli-type in generating function concentration size, which can be solved exactly. This prescription leads non-equilibrium steady st...

Abstract We experimentally, numerically and theoretically study the optimal mean time needed by a Brownian particle, freely diffusing either in one or two dimensions, to reach, within tolerance radius R tol , target at distance L from an initial position presence of resetting. The reset is Gaussian distributed with width ? . derived tested resetting protocols, periodic random (Poissonian) times...

OBJECTIVE The error-related negativity (ERN) is a response-locked brain potential (ERP) occurring 80-100ms following response errors. This report contrasts three views of the genesis of the ERN, testing the classic view that time-locked phasic bursts give rise to the ERN against the view that the ERN arises from a pure phase-resetting of ongoing theta (4-7Hz) EEG activity and the view that the ...

We study the diffusive transport of Markovian random walks on arbitrary networks with stochastic resetting to multiple nodes. deduce analytical expressions for stationary occupation probability and mean global first passage times. This general approach allows us characterize effect capacity walk strategies reach a particular target or explore network. Our formalism holds ergodic can be implemen...

This paper presents a sliding mode fuzzy control approach for industrial robots at their static and near speed (linear velocities less than 5 cm/s). The extended Kalman filter with its covariance resetting is used to translate the coordinates from Cartesian joint angle space. translated angles are then as reference signal robot dynamics using controller. stability robustness of proposed control...

We consider Markovian open quantum systems subject to stochastic resetting, which means that the dissipative time evolution is reset at randomly distributed times initial state. show ensuing dynamics non-Markovian and has form of a generalized Lindblad equation. Interestingly, statistics quantum-jumps can be exactly derived. This achieved by combining techniques from thermodynamics quantum-jump...

The state of many physical, biological and socio-technical systems evolves by combining smooth local transitions abrupt resetting events to a set reference values. inclusion the mechanism not only provides possibility modeling wide variety realistic but also leads interesting novel phenomenology present in reset-free cases. However, most models where stochastic is studied address case finite nu...