The asymptotic behavior of fragmentation processes

The asymptotic behavior of fragmentation processes

The fragmentation processes considered in this work are self-similar Markov processes which are meant to describe the ranked sequence of the masses of the pieces of an object that falls apart randomly as time passes. We investigate their behavior as t → ∞. Roughly, we show that the rate of decay of the ℓ p-norm (where p > 1) is exponential when the index of self-similarity α is 0, polynomial wh...

Asymptotic properties of fragmentation processes

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Asymptotic Behavior of Multivariate Reward Processes with Nonlinear Reward Functions

asymptotic behavior of multivariate reward processes with nonlinear reward functions

The Asymptotic Behavior of Certain Birth Processes∗

We describe a connection between discrete birth process and a certain family of multivariate interpolation polynomials. This enables us to compute all asymptotic moments of the birth process, generalizing previously known results for the mean and variance.