Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

The remaining travel time of a plane shortens with every minute that passes from its
departure, and a flame diminishes a candle with every second it burns. Such everyday …

Stochastic processes offer a fundamentally different paradigm of dynamics than
deterministic processes that one is most familiar with, the most prominent example of the …

First passage under restart has recently emerged as a conceptual framework to study
various stochastic processes under restart mechanism. Emanating from the canonical …

We propose a universal framework to compute record age statistics of a stochastic time
series that undergoes random restarts. The proposed framework makes minimal …

While averages and typical fluctuations often play a major role in understanding the
behavior of a nonequilibrium system, this nonetheless is not always true. Rare events and …

We study the statistical properties of first-passage time functionals of a one dimensional
Brownian motion in the presence of stochastic resetting. A first-passage functional is defined …

By repeatedly returning a search process to a known or random state, random resetting
possesses the potential to unveil new trajectories, sidestep potential obstacles, and …

What happens when the paradigmatic Kuramoto model involving interacting oscillators of
distributed natural frequencies and showing spontaneous collective synchronization in the …