scholarly journals Self-organized branching process for a one-dimensional rice-pile model

2002 ◽  
Vol 25 (2) ◽  
pp. 209-216 ◽  
Author(s):  
F. Slanina
Keyword(s):  
Branching Process ◽  
One Dimensional ◽  
Self Organized ◽  
Pile Model

Total progeny in a multitype critical age dependent branching process with immigration

1974 ◽  
Vol 11 (3) ◽  
pp. 458-470 ◽  
Author(s):  
Howard J. Weiner
Keyword(s):  
Limit Theorem ◽  
Branching Process ◽  
Cell Types ◽  
Dimensional Case ◽  
One Dimensional ◽  
Age Dependent ◽  
Total Progeny ◽  
Critical Age ◽  
The One ◽  
Branching Process With Immigration

In a multitype critical age dependent branching process with immigration, the numbers of cell types born by t, divided by t2, tends in law to a one-dimensional (degenerate) law whose Laplace transform is explicitily given. The method of proof makes a correspondence between the moments in the m-dimensional case and the one-dimensional case, for which the corresponding limit theorem is known. Other applications are given, a possible relaxation of moment assumptions, and extensions are indicated.

A coupling of finite particle systems

1993 ◽  
Vol 30 (01) ◽  
pp. 258-262 ◽  
Author(s):  
T. S. Mountford
Keyword(s):  
Invariant Measure ◽  
Branching Process ◽  
Interacting Particle Systems ◽  
Particle Systems ◽  
Initial Configuration ◽  
Limit Measure ◽  
One Dimensional ◽  
Interacting Particle ◽  
The One ◽  
Finite Particle

We show that for a large class of one-dimensional interacting particle systems, with a finite initial configuration, any limit measure , for a sequence of times tending to infinity, must be invariant. This result is used to show that the one-dimensional biased annihilating branching process with parameter > 1/3 converges in distribution to the upper invariant measure provided its initial configuration is almost surely finite and non-null.

scholarly journals Universality in the One-Dimensional Self-Organized Critical Forest-Fire Model

1994 ◽  
Vol 49 (9) ◽  
pp. 856-860
Author(s):  
Barbara Drossel ◽  
Siegfried Clar ◽  
Franz Schwabl
Keyword(s):  
Size Distribution ◽  
Forest Fire ◽  
Nearest Neighbor ◽  
The Self ◽  
One Dimension ◽  
Fire Model ◽  
One Dimensional ◽  
Self Organized ◽  
Forest Fire Model ◽  
The One

Abstract We modify the rules of the self-organized critical forest-fire model in one dimension by allowing the fire to jum p over holes of ≤ k sites. An analytic calculation shows that not only the size distribution of forest clusters but also the size distribution of fires is characterized by the same critical exponent as in the nearest-neighbor model, i.e. the critical behavior of the model is universal. Computer simulations confirm the analytic results.

scholarly journals A minimalist model of characteristic earthquakes

2002 ◽  
Vol 9 (5/6) ◽  
pp. 513-519 ◽  
Author(s):  
M. Vázquez-Prada ◽  
Á. González ◽  
J. B. Gómez ◽  
A. F. Pacheco
Keyword(s):  
Recurrence Time ◽  
Characteristic Earthquake ◽  
One Dimensional ◽  
Self Organized ◽  
Algebraic Description ◽  
Earthquake Size ◽  
Self Organized Criticality ◽  
Characteristic Earthquakes ◽  
Frequency Relation

Abstract. In a spirit akin to the sandpile model of self-organized criticality, we present a simple statistical model of the cellular-automaton type which simulates the role of an asperity in the dynamics of a one-dimensional fault. This model produces an earthquake spectrum similar to the characteristic-earthquake behaviour of some seismic faults. This model, that has no parameter, is amenable to an algebraic description as a Markov Chain. This possibility illuminates some important results, obtained by Monte Carlo simulations, such as the earthquake size-frequency relation and the recurrence time of the characteristic earthquake.

Self-Organized One-Dimensional Cobalt Compound Nanostructures from CoC2O4 for Superior Oxygen Evolution Reaction

2013 ◽  
Vol 117 (45) ◽  
pp. 23712-23715 ◽  
Author(s):  
Jin Won Kim ◽  
Jae Kwang Lee ◽  
Doungkamon Phihusut ◽  
Youngmi Yi ◽  
Hye Jin Lee ◽  
...  
Keyword(s):  
Oxygen Evolution ◽  
Oxygen Evolution Reaction ◽  
One Dimensional ◽  
Self Organized

Nanoscale Si template for the growth of self-organized one-dimensional nanostructures

2013 ◽  
Vol 267 ◽  
pp. 192-195 ◽  
Author(s):  
Laurence Masson ◽  
Houda Sahaf ◽  
Patrick Amsalem ◽  
Florent Dettoni ◽  
Eric Moyen ◽  
...  
Keyword(s):  
One Dimensional ◽  
Self Organized ◽  
One Dimensional Nanostructures

scholarly journals Exact results for the one-dimensional self-organized critical forest-fire model

1993 ◽  
Vol 71 (23) ◽  
pp. 3739-3742 ◽  
Author(s):  
Barbara Drossel ◽  
Siegfried Clar ◽  
Franz Schwabl
Keyword(s):  
Forest Fire ◽  
Exact Results ◽  
Fire Model ◽  
One Dimensional ◽  
Self Organized ◽  
Forest Fire Model ◽  
The One

SAND PILE AS A UNIVERSAL COMPUTER

1996 ◽  
Vol 07 (02) ◽  
pp. 113-122 ◽  
Author(s):  
ERIC GOLES ◽  
MAURICE MARGENSTERN
Keyword(s):  
Computer Program ◽  
Logic Gates ◽  
One Dimensional ◽  
Sand Pile ◽  
Pile Model

We show that the sand pile model is able to simulate, by specific configurations, logic gates and registers and, therefore any computer program. Further, we give its interpretation in terms of a set of several one-dimensional interacting avalanches.

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