Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

From the Maclaurin expansion of a function f̄(p) of the Laplace transform operator p, rational function approximations to f̄(p) are generated by means of a new nonlinear sequence to sequence ...

In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

Arithmetic dynamics is an interdisciplinary field that investigates the behaviour of dynamical systems defined by rational maps on algebraic varieties, often over number fields. At its core, the ...