First passage probability of a nonlinear structure under nonzero mean random excitation.

First passage percolation on random graphs with finite mean degrees

We study first passage percolation on the configuration model. Assuming that each edge has anindependent exponentially distributed edge weight, we derive explicit distributional asymptotics forthe minimum weight between two randomly chosen connected vertices in the network, as well as forthe number of edges on the least weight path, the so-called hopcount.We analyze the conf...

Mean first passage time for fission potentials having structure

A schematic model of over-damped motion is presented which permits one to calculate the mean first passage time for nuclear fission. Its asymptotic value may exceed considerably the lifetime suggested by Kramers rate formula, which applies only to very special, favorable potentials and temperatures. The additional time obtained in the more general case is seen to allow for a considerable increm...

Statistical Biophysics Blog: “Proof ” of the Hill Relation Between Probability Flux and Mean First- Passage Time

Mean First Passage Time in Periodic Attractors

Abstract. The properties of the mean first passage time in a system characterized by multiple periodic attractors are studied. Using a transformation from a high dimensional space to 1D, the problem is reduced to a stochastic process along the path from the fixed point attractor to a saddle point located between two neighboring attractors. It is found that the time to switch between attractors ...

Mean first-passage time for random walks in general graphs with a deep trap.

We provide an explicit formula for the global mean first-passage time (GMFPT) for random walks in a general graph with a perfect trap fixed at an arbitrary node, where GMFPT is the average of mean first-passage time to the trap over all starting nodes in the whole graph. The formula is expressed in terms of eigenvalues and eigenvectors of Laplacian matrix for the graph. We then use the formula ...