This is a preview. Log in through your library . Abstract We investigate the construction of diffusions consisting of infinitely numerous Brownian particles moving in ℝ d and interacting via ...

Infinite-dimensional systems, characterised by state spaces of infinite dimension such as those described by partial differential equations, present profound challenges and opportunities within ...

Would a basketball spinning on a fingertip behave the same way in an infinite number of dimensions? The question has flummoxed mathematicians for 80 years, but now it looks as if the answer is yes – a ...