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ANATOMY OF THE GIANT COMPONENT: THE STRICTLY SUPERCRITICAL REGIME
"... Abstract. In a recent work of the authors and Kim, we derived a complete description of the largest component of the ErdősRényi random graph G(n, p) as it emerges from the critical window, i.e. for p = (1+ε)/n where ε 3 n → ∞ and ε = o(1), in terms of a tractable contiguous model. Here we provide ..."
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Cited by 3 (2 self)
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the analogous description for the supercritical giant component, i.e. the largest component of G(n, p) for p = λ/n where λ> 1 is fixed. The contiguous model is roughly as follows: Take a random degree sequence and sample a random multigraph with these degrees to arrive at the kernel; Replace the edges
OrnsteinZernike behavior for the Bernoulli bond percolation on in the supercritical regime
, 2002
"... We derive an OrnsteinZernike asymptotic formula for the decay of the two point finite connectivity function # x,y (p) of the Bernoulli bond percolation process on Z , along the principal directions, for d 3, and for supercritical values of p su#ciently near to p = 1. Key Words: Supercritical ..."
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Cited by 1 (1 self)
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We derive an OrnsteinZernike asymptotic formula for the decay of the two point finite connectivity function # x,y (p) of the Bernoulli bond percolation process on Z , along the principal directions, for d 3, and for supercritical values of p su#ciently near to p = 1. Key Words: Supercritical
An existence result for the meanfield equation on compact surfaces in a doubly supercritical regime
 Proc. Royal Soc. Edinburgh A 143 (2013
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, 2014
"... of the flow past a circular cylinder in the supercritical regime by blending RANS and ..."
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of the flow past a circular cylinder in the supercritical regime by blending RANS and
unknown title
, 2002
"... Dispersive and frictioninduced stabilization of an inverse cascade. The theory for the Kolmogorov flow in the slightly supercritical regime ..."
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Dispersive and frictioninduced stabilization of an inverse cascade. The theory for the Kolmogorov flow in the slightly supercritical regime
Supercritical percolation on large scalefree random trees
"... We consider Bernoulli bond percolation on a large scalefree tree in the supercritical regime, meaning informally that there exists a giant cluster with high probability. We obtain a weak limit theorem for the sizes of the next largest clusters, extending a recent result in Bertoin [Random Structure ..."
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Cited by 9 (3 self)
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We consider Bernoulli bond percolation on a large scalefree tree in the supercritical regime, meaning informally that there exists a giant cluster with high probability. We obtain a weak limit theorem for the sizes of the next largest clusters, extending a recent result in Bertoin [Random
Subcritical and Supercritical Regimes in Epidemic Models of Earthquake Aftershocks
"... Abstract. We present an analytical solution and numerical tests of the epidemictype aftershock (ETAS) model for aftershocks, which describes foreshocks, aftershocks and mainshocks on the same footing. In this model, each earthquake of magnitude m triggers aftershocks with a rate proportional to 10α ..."
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Cited by 57 (19 self)
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branching parameter n, defined as the mean aftershock number triggered per event, controls the transition between a subcritical regime n < 1 to a supercritical regime n> 1. A characteristic time t ∗ , function of all the ETAS parameters, marks the transition from the early time behavior to the large
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, 2008
"... Research proposal toward the degree of "Philosophy Doctor" Research topic: Direct numerical simulation of transitions and supercritical regimes in confined threedimensional flows ..."
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Research proposal toward the degree of "Philosophy Doctor" Research topic: Direct numerical simulation of transitions and supercritical regimes in confined threedimensional flows
number for the maximal position
, 2012
"... We consider a catalytic branching random walk on Z that branches at the origin only. In the supercritical regime we establish a law of large ..."
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We consider a catalytic branching random walk on Z that branches at the origin only. In the supercritical regime we establish a law of large
Results 1  10
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239