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STOCHASTIC COALESCENCE IN LOGARITHMIC TIME
"... Abstract. The following distributed coalescence protocol was introduced by Dahlia Malkhi in 2006 motivated by applications in social networking. Initially there are n agents wishing to coalesce into one cluster via a decentralized stochastic process, where each round is as follows: Every cluster fli ..."
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Abstract. The following distributed coalescence protocol was introduced by Dahlia Malkhi in 2006 motivated by applications in social networking. Initially there are n agents wishing to coalesce into one cluster via a decentralized stochastic process, where each round is as follows: Every cluster
Smoluchowski’s coagulation equation: uniqueness, nonuniqueness and a hydrodynamic limit for the stochastic coalescent
 Ann. Appl. Probab
, 1999
"... Abstract. Sufficient conditions are given for existence and uniqueness in Smoluchowski’s coagulation equation, for a wide class of coagulation kernels and initial mass distributions. An example of nonuniqueness is constructed. The stochastic coalescent is shown to converge weakly to the solution of ..."
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Cited by 66 (3 self)
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Abstract. Sufficient conditions are given for existence and uniqueness in Smoluchowski’s coagulation equation, for a wide class of coagulation kernels and initial mass distributions. An example of nonuniqueness is constructed. The stochastic coalescent is shown to converge weakly to the solution
W.: Effect of stochastic coalescence and air turbulence on the size distribution of cloud droplets, Atmos
 Res
, 2006
"... An open question in warm rain process and precipitation formation is how rain forms in warm cumulus as rapidly as it has sometimes been observed. In general, the rapid growth of cloud droplets across the size gap from 10 to 50 microns in radius has not been fully explained. Three aspects related to ..."
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Cited by 12 (7 self)
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to the air turbulence and stochastic coalescence are considered here in an attempt to resolve this open question. The first is the enhanced geometric collision rates caused by air turbulence. The second is the effect of air turbulence on collision efficiencies. The third is stochastic fluctuations
Elect. Comm. in Probab. 11 (2006), 141–148 ELECTRONIC COMMUNICATIONS in PROBABILITY STANDARD STOCHASTIC COALESCENCE WITH SUM KERNELS
, 2006
"... We build a Markovian system of particles entirely characterized by their masses, in which each pair of particles with masses x and y coalesce at rate K(x, y) ≃ xλ + yλ, for some λ ∈ (0, 1), and such that the system is initially composed of infinitesimally small particles. 1 ..."
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We build a Markovian system of particles entirely characterized by their masses, in which each pair of particles with masses x and y coalesce at rate K(x, y) ≃ xλ + yλ, for some λ ∈ (0, 1), and such that the system is initially composed of infinitesimally small particles. 1
Deterministic and Stochastic Models for Coalescence (Aggregation, Coagulation): a Review of the MeanField Theory for Probabilists
 Bernoulli
, 1997
"... Consider N particles, which merge into clusters according to the rule: a cluster of size x and a cluster of size y merge at (stochastic) rate K(x; y)=N , where K is a specified rate kernel. This MarcusLushnikov model of stochastic coalescence, and the underlying deterministic approximation given by ..."
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Cited by 221 (13 self)
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Consider N particles, which merge into clusters according to the rule: a cluster of size x and a cluster of size y merge at (stochastic) rate K(x; y)=N , where K is a specified rate kernel. This MarcusLushnikov model of stochastic coalescence, and the underlying deterministic approximation given
Atmospheric Chemistry and Physics Discussions
"... simulations of twocomponent drop growth by stochastic coalescence ..."
Stochastic Ballistic Annihilation and Coalescence
, 2000
"... We study a class of stochastic ballistic annihilation and coalescence models with a binary velocity distribution in one dimension. We obtain an exact solution for the density which reveals a universal phase diagram for the asymptotic density decay. By universal we mean that all models in the class a ..."
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We study a class of stochastic ballistic annihilation and coalescence models with a binary velocity distribution in one dimension. We obtain an exact solution for the density which reveals a universal phase diagram for the asymptotic density decay. By universal we mean that all models in the class
Results 1  10
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11,683