Exact solution to the mean exit time problem for free inertial processes driven by Gaussian white noise

We obtain the exact analytical expression, up to a quadrature, for the mean exit time, T(x,v), of a free inertial process driven by Gaussian white noise from a region (0,L) in space. We obtain a completely explicit expression for T(x,0) and discuss the dependence of T(x,v) as a function of the size L of the region. We develop a new method that may be used to solve other exit time problems.

Bistability driven by white shot noise

We consider mean-first-passage times and transition rates in bistable systems driven by white shot noise. We obtain closed analytical expressions, asymptotic approximations, and numerical simulations in two cases of interest: (i) jumps sizes exponentially distributed and (ii) jumps of the same size.

The White Cane Magazine, Winter 2011, Vol. 2, no. 1

Quarterly newsletter produced by the Iowa Department of Blind, about the information and activities that are on going in the department.

The White Cane Magazine, Summer 2011, Vol. 2, no. 3

Quarterly newsletter produced by the Iowa Department of Blind, about the information and activities that are on going in the department.

The White Cane Magazine, Fall 2011, Vol. 2, no. 4

Quarterly newsletter produced by the Iowa Department of Blind, about the information and activities that are on going in the department.

The White Cane Magazine, Winter 2012, Vol. 3, no. 1

Quarterly newsletter produced by the Iowa Department of Blind, about the information and activities that are on going in the department.

The White Cane Magazine, Spring 2012, Vol. 3, no. 2

Quarterly newsletter produced by the Iowa Department of Blind, about the information and activities that are on going in the department.

Exact solution to the exit-time problem for an undamped free particle driven by Gaussian white noise

In a recent paper [Phys. Rev. Lett. 75, 189 (1995)] we have presented the exact analytical expression for the mean exit time, T(x,v), of a free inertial process driven by Gaussian white noise out of a region (0,L) in space. In this paper we give a detailed account of the method employed and present results on asymptotic properties and averages of T(x,v).

White-Tailed Deer(Odocoileus virginianus), 2011

Data sheet produced by the Iowa Department of Natural Resources is about different times of animals, insects, snakes, birds, fish, butterflies, etc. that can be found in Iowa.