In this paper an analytic operator-valued generalized Feynman integral was studied on a very general Wiener space Ca,b[0, T]. The general Wiener space Ca,b[0, T] is a function space which is induced ...

This is a preview. Log in through your library . Abstract A stopping time T for the Wiener process W(t) is called minimal if there is no stopping time S ≤ T such that W(S) and W(T) have the same ...

In the classic fairy tale, "The Emperor's New Clothes," Hans Christian Andersen uses the eyes of a child to challenge conventional wisdom and help others to see more clearly. In similar fashion, ...

Brownian motion in the presence of magnetic fields and under non-Markovian dynamics lies at a critical intersection of statistical physics and applied mathematics. This field examines how charged ...

Physicists in the US have created a magnetic trap that can contain microscopic particles despite their Brownian motion. The trap, which is based on a magnetized, zigzag-shaped nanowire, could help ...

The seemingly random movement of Brownian motion just got a little more classical. Scientists have been able to image the ultrafast motions of a trapped particle, revealing the underlining ...

Researchers at Tokyo Institute of Technology (Tokyo Tech) have brought the worlds of physics and finance one step closer to each other. In a study published in Physical Review Letters, the team ...