The additive multiboxes

Capacity Bounds and High-SNR Capacity of the Additive Exponential Noise Channel With Additive Exponential Interference

Communication in the presence of a priori known interference at the encoder has gained great interest because of its many practical applications. In this paper, additive exponential noise channel with additive exponential interference (AENC-AEI) known non-causally at the transmitter is introduced as a new variant of such communication scenarios‎. First, it is shown that the additive Gaussian ch...

Computing the additive degree-Kirchhoff index with the Laplacian matrix

For any simple connected undirected graph, it is well known that the Kirchhoff and multiplicative degree-Kirchhoff indices can be computed using the Laplacian matrix. We show that the same is true for the additive degree-Kirchhoff index and give a compact Matlab program that computes all three Kirchhoffian indices with the Laplacian matrix as the only input.

The Standard Additive Coalescent

as a fragmentation of unit mass into clusters of masses xi. The additive coalescent of Evans and Pitman is the -valued Markov process in which pairs of clusters of masses xi xj merge into a cluster of mass xi + xj at rate xi + xj. They showed that a version X∞ t −∞ < t < ∞ of this process arises as a n → ∞ weak limit of the process started at time − 2 log n with n clusters of mass 1/n. We show ...

The Additive Dilogarithm

A notion of additive dilogarithm for a field k is introduced, based on the K-theory and higher Chow groups of the affine line relative to 2(0). Analogues of the K2-regulator, the polylogarithm Lie algebra, and the `-adic realization of the dilogarithm motive are discussed. The higher Chow groups of 0-cycles in this theory are identified with the Kähler differential forms Ωk. It is hoped that th...

The Additive Fallacy