1.5k citations · 9.9k across the 39 of their papers we have counts for
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Stochastic Feedback and the Regulation of Biological Rhythms
Plamen Ch. Ivanov, Luis A. N. Amaral, Ary Goldberger +1
We propose a general approach to the question of how biological rhythms spontaneously self-regulate, based on the concept of ``stochastic feedback''. We illustrate this approach by…
Power Law Scaling for a System of Interacting Units with Complex Internal Structure
L. A. N. Amaral, S. V. Buldyrev, S. Havlin +2
We study the dynamics of a system composed of interacting units each with a complex internal structure comprising many subunits. We consider the case in which each subunit grows in…
Universality classes for rice-pile models
L. A. N. Amaral, K. B. Lauritsen
We investigate sandpile models where the updating of unstable columns is done according to a stochastic rule. We examine the effect of introducing nonlocal relaxation mechanisms. W…
Scaling behavior in economics: II. Modeling of company growth
S. V. Buldyrev, L. A. N. Amaral, S. Havlin +5
In the preceding paper we presented empirical results describing the growth of publicly-traded United States manufacturing firms within the years 1974--1993. Our results suggest th…
Scaling behavior in economics: I. Empirical results for company growth
L. A. N. Amaral, S. V. Buldyrev, S. Havlin +5
We address the question of the growth of firm size. To this end, we analyze the Compustat data base comprising all publicly-traded United States manufacturing firms within the year…