843 citations · 5.1k across the 104 of their papers we have counts for
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Systematic Computation of the Least Unstable Periodic Orbits in Chaotic Attractors
Fotis K. Diakonos, Peter Schmelcher, O. Biham
We show that a recently proposed numerical technique for the calculation of unstable periodic orbits in chaotic attractors is capable of finding the least unstable periodic orbits…
H2 Formation on Interstellar Grains in Different Physical Regimes
O. Biham, I. Furman, N. Katz +2
An analysis of the kinetics of H2 formation on interstellar dust grains is presented using rate equations. It is shown that semi-empirical expressions that appeared in the literatu…
Grover's Quantum Search Algorithm for an Arbitrary Initial Amplitude Distribution
Eli Biham, Ofer Biham, David Biron +2
Grover's algorithm for quantum searching is generalized to deal with arbitrary initial complex amplitude distributions. First order linear difference equations are found for the ti…
Symmetries and Universality Classes in Conservative Sandpile Models
O. Biham, E. Milshtein, S. Solomon
The symmetry properties which determine the critical exponents and universality classes in conservative sandpile models are identified. This is done by introducing a set of models,…
Generic Emergence of Power Law Distributions and Lévy-Stable Intermittent Fluctuations in Discrete Logistic Systems
Ofer Biham, Ofer Malcai, Moshe Levy +1
The dynamics of generic stochastic Lotka-Volterra (discrete logistic) systems of the form \cite{Solomon96a} is s…
Universality in Sandpile Models
A. Ben-Hur, O. Biham
A new classification of sandpile models into universality classes is presented. On the basis of extensive numerical simulations, in which we measure an extended set of exponents, t…