ISSN: 1083-589X ELECTRONIC COMMUNICATIONS

The Yamada-Watanabe theorem for mild solutions to stochastic partial differential equation

Closed-Form Expression for the Collision

We derive a closed-form expression for the message collision probability in the IEEE 802.3ah Ethernet Passive Optical Network (EPON) registration scheme. The expression obtained, although based on an approximation, shows a good match with simulation results. We use the results of our analysis to compute the size of the most efficient contention window and the most efficient number of nodes serviced by a given window size

ISSN: 1083-589X ELECTRONIC COMMUNICATIONS

Scale-free and power law distributions via fixed points and convergence of (thinning and conditioning) transformation

Supersedes arXiv:1401.1034v1.

Recurrence for vertex-reinforced random walks on Z with weak reinforcements

ISSN: 1083-589X ELECTRONIC COMMUNICATIONS

Joint convergence along different subsequences of the signed cubic variation of fractional Brownian motion II

ISSN: 1083-589X ELECTRONIC COMMUNICATIONS

Fractional smoothness of functionals of diffusion processes under a change of measure