Random evolution processes with feedback

Analysis of Random Processes with Fuzzy Observations Using Discretization Method

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Phylogeny - discrete and random processes in evolution

Multifractional Processes with Random Exponent

Multifractional Processes with Random Exponent (MPRE) are obtained by replacing the Hurst parameter of Fractional Brownian Motion (FBM) with a stochastic process. This process need not be independent of the white noise generating the FBM. MPREs can be conveniently represented as random wavelet series. We will use this type of representation to study their Hölder regularity and their self-simila...

Numerical solution and simulation of random differential equations with Wiener and compound Poisson Processes

Ordinary differential equations(ODEs) with stochastic processes in their vector field, have lots of applications in science and engineering. The main purpose of this article is to investigate the numerical methods for ODEs with Wiener and Compound Poisson processes in more than one dimension. Ordinary differential equations with Ito diffusion which is a solution of an Ito stochastic differentia...

Investigation of random lasers with resonant feedback

Y. Ling, H. Cao,* A. L. Burin, M. A. Ratner, X. Liu, and R. P. H. Chang Department of Physics and Astronomy, Materials Research Center, Northwestern University, Evanston, Illinois 60208-3112 Department of Chemistry, Materials Research Center, Northwestern University, Evanston, Illinois 60208-3113 Department of Materials Science and Engineering, Materials Research Center, Northwestern University...