Backward stochastic differential equations (BSDEs) have emerged as a pivotal mathematical tool in the analysis of complex systems across finance, physics and engineering. Their formulation, generally ...

A formula for the transition density of a Markov process defined by an infinite-dimensional stochastic equation is given in terms of the Ornstein-Uhlenbeck bridge and a useful lower estimate on the ...

The number N of detectable (i.e. communicating) extraterrestrial civilizations in the Milky Way galaxy is usually done by using the Drake equation. This equation was established in 1961 by Frank Drake ...

This is a preview. Log in through your library . Abstract We study a finite system of diffusions on the half-line, absorbed when they hit zero, with a correlation effect that is controlled by the ...