This paper concerns moment and tail probability inequalities and the strong law of large numbers for U-statistics with nonnegative or symmetrized kernels and their multisample and decoupled versions.

Most educational platforms feature a core trait such as learning, discussing or problem solving. Function Space, a social learning science network, wants to bring the three together for free in a ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Plurisubharmonic functions form a central tool in the study of several complex variables, offering a robust framework for analysing complex phenomena via potential theory. These functions, which are ...

Our brains are much more active when we daydream than previously thought. Activity in numerous brain regions increases when our minds wander, according to new research. Psychologists found that brain ...