Abstract An iterated perturbed random walk is a sequence of point processes defined by the birth times individuals in subsequent generations general branching process provided that first generation are given walk. We prove counterparts classical renewal-theoretic results (the elementary renewal theorem, Blackwell’s and key theorem) for number j th-generation with $\leq t$ , when $j,t\to\infty$ ...

Using the method introduced by Grisaru et al., boundary S matrices for the physical excitations of the open Hubbard chain with boundary fields are studied. In contrast to the open supersymmetric t-J model, the boundary S matrix for the charge excitations depend on the boundary fields though the boundary fields do not break the spin-SU(2) symmetry. E-mail address: [email protected]