Random walk is a fundamental concept with applications ranging from quantum physics to
econometrics. Remarkably, one specific model of random walks appears to be ubiquitous …

The past decade has witnessed an explosion in the use of super-resolution fluorescence
microscopy methods in biology and other fields. Single-molecule localization microscopy …

Modern microscopic techniques following the stochastic motion of labelled tracer particles
have uncovered significant deviations from the laws of Brownian motion in a variety of …

Photoluminescence blinking—random switching between states of high (ON) and low (OFF)
emissivities—is a universal property of molecular emitters found in dyes, polymers …

In this review, we discuss the persistence and the related first-passage properties in
extended many-body nonequilibrium systems. Starting with simple systems with one or few …

Nitrogen-vacancy colour centres in diamond can undergo strong, spin-sensitive optical
transitions under ambient conditions, which makes them attractive for applications in …

Biomembranes are exceptionally crowded with proteins with typical protein-to-lipid ratios
being around 1∶ 50− 1∶ 100. Protein crowding has a decisive role in lateral membrane …

Recent advances reveal that upconversion (UC) luminescent materials are highly important
not just from a scientific, but also from a future application standpoint. Although significant …

Many potential applications of quantum dots (QDs) can only be realized once the
luminescence from single nanocrystals (NCs) is understood. These applications include the …

Anomalous diffusion has been widely observed by single particle tracking microscopy in
complex systems such as biological cells. The resulting time series are usually evaluated in …