Ergodic theory and harmonic analysis constitute a powerful synergy between dynamical systems and the study of oscillatory behaviour in functions or signals. Ergodic theory investigates the long-term ...
Markov processes on Banach spaces extend classical finite-state chains to infinite-dimensional settings, encompassing stochastic partial differential equations, random evolutions in function spaces ...
Expansion in time (vertical) and space (horizontal) of a cloud of bosons, where the middle case shows chaotic dynamics, inducing a uniform final distribution of particles (Courtesy: authors) The ...