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We also obtain a recurrence relation for weights of these Gibbs distributions that allow us to derive the general form of the solution and the explicit solutions in three particular cases of the function<jats:italic>f<\/jats:italic>. For the three corresponding models, we study the probability of coagulation into one giant cluster by time<jats:italic>t<\/jats:italic>&amp;gt; 0.<\/jats:p>","DOI":"10.1017\/s0021900200009414","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T14:49:44Z","timestamp":1459262984000},"page":"612-626","source":"Crossref","is-referenced-by-count":0,"title":["Coagulation Processes with Gibbsian Time Evolution"],"prefix":"10.1017","volume":"49","author":[{"given":"Boris L.","family":"Granovsky","sequence":"first","affiliation":[]},{"given":"Alexander V.","family":"Kryvoshaev","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2016,2,4]]},"reference":[{"key":"S0021900200009414_ref18","first-page":"276","volume":"65","year":"1977","journal-title":"J. Colloid Interface Sci"},{"key":"S0021900200009414_ref19","first-page":"738","volume":"14","year":"1978","journal-title":"Atmos. Ocean. 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