When we think creatively, produce novel ideas, or otherwise have “Eureka” moments, we may actually unlock access to a ...

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 ...

The Annals of Probability, Vol. 34, No. 2 (Mar., 2006), pp. 663-727 (65 pages) We develop a new method to uniquely solve a large class of heat equations, so-called Kolmogorov equations in infinitely ...

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 ...

Imagine a world unified by a single scientific principle, something that can explain life’s greatest mysteries, from the origin of space and time to gravity and smaller matters, like daydreams. Now ...

We may be led to believe that we are all unique, but if the parallel universe theory does prove to be true, then you are not unique unfortunately. In fact, there would be an infinite set of you - ...