${\bf R}$-trees, small cancellation, and convergence

Convergence of Bi-measure R-trees and the Pruning Process

In [AP98b] a tree-valued Markov chain is derived by pruning off more and more subtrees along the edges of a Galton-Watson tree. More recently, in [AD12], a continuous analogue of the tree-valued pruning dynamics is constructed along Lévy trees. In the present paper, we provide a new topology which allows to link the discrete and the continuous dynamics by considering them as instances of the sa...

Capital Accumulation and Convergence in a Small Open Economy

 Outward-oriented economies seem to grow faster than inward-looking ones. Does the literature on convergence have anything to say on this? In the dynamic Heckscher-Ohlin-Samuelson model, with factor-price equalization, there is no convergence of incomes. This is because with identical preferences and return to capital, irrespective of initial levels the growth rates of consumption are the same....

Geometric small cancellation

Convergence of linear interference cancellation multiuser receivers

We consider the convergence in norm of several iterative implementations of linear multiuser receivers, under the assumption of long random spreading sequences. We find that asymptotically, linear parallel interference cancellation diverges for systems loads of greater than about 17%. Using known results from the theory of iterative solutions for linear systems we derive optimal or near optimal...

Perturbative Bf–yang–mills Theory on Noncommutative R

A U(1) BF–Yang–Mills theory on noncommutative R4 is presented and in this formulation the U(1) Yang–Mills theory on noncommutative R4 is seen as a deformation of the pure BF theory. Quantization using BRST symmetry formalism is discussed and Feynman rules are given. Computations at one–loop order have been performed and their renormalization studied. It is shown that the U(1) BFYM on noncommuta...