Ergodic theory is a branch of mathematics that studies the long-term average behavior of dynamical systems. It has significant applications in various fields, including statistical mechanics, ...

In the words of Dr. Lawrence M. Krauss, space and time cannot contain the fundamental laws of physics because they generate ...

Random fields provide a versatile mathematical framework to describe spatially dependent phenomena, ranging from physical systems and quantum chaos to cosmology and spatial statistics. Underpinning ...

Central limit theorems play an important role in the study of statistical inference for stochastic processes. However, when the non-parametric local polynomial threshold estimator, especially local ...