Monte Carlo Approximation of Coagulation-Fragmentation Equations Flavius Guias Institut fuer Angewandte Mathematik Im Neuenheimer Feld 294 D-69120 Heidelberg Many processes in nature can be described in terms of particle systems governed by binary interactions of coagulation-fragmentation type. More precisfra9y, srhr-ribegmentation o gervg At didt xte elbe(dwicle sys or mass) k=1,2,... ,riblling for k=1 gmen simplntation o geas mono Ds ati, pargen col,gmentation o g composidton- k mono Ds as k - m Ds . Tentaossiblnt of coagulat are: -mentforagulation- i+j -m Ds x-llisulation- i -m Ds with j -m Ds -mentsplitting on- i+j -m Ds ofo- i -m Ds ati j -m Ds.uer oribe fo- terms ogmentdynamic can tiys of suchn nature , pt is-venie. fo-ribegas variabo gementce. rius Gu u^k(t) on- k -m Ds ati to wrik down ba rned b on-differe. ial eavius Gu (mentso-iblled -fragmentation type. More eavius Gu ) for mentvariabo ge u^k ,r k=1,2,... ,rwhichn take can accou. fen sviouslyn terms of actionsreoagulat.uer ouega of achnr-ribega Approximatiobe(hof paroribe fo-a of Coague mentsolugulation-mentagmentation type. More eavius Gu.ueFor mentcass of bou.dof agmentati riue c(i.dope.dontlynon- i ati j ), r-truct a N -ation o rned b whositdynamic cage gnt x Imrkov jumpn naturn terms ing mentagmentati ati n type. More systems govu.ue Dynkin'stforamen for mentinfinik simal op cotor enabo gestito obtaan tentdynamic cfor mentce. rius G on- k -m Dscfor eoah k=1,..., N ,rwhichnare nothing elsogmean-mentagmentation type. More eavius Gu p cdesbidt xso martingao ticle. TenteAngmagulation-mentsed mope. tion-mentmartingao camplx vergencesresult on-mentce. rius Gu ibei n omgmentation o rned b fo-men solugulaion-mentagmentation type. More eavius Gu an tentmean-savire nora ati e so seavencesspacvu.ueIn-mentgrowth oribe on-mentagmentati riue (with respect fo-menon-menttems govu) is-an a c cdaan rathe,nr-gexied ncesati uniaventurn nof bxshowing vergencesan seavencesspacvu on-solugulation-a of Coaguing rned by with bou.dof efficie. u.uThis-enabo gestito s Moe vergencesresulttion-mentApproximati be(hof fo-menrespectolugulati xdjusuing of p clxmentspeed on-frvergencesfo-infinikyion-menttotal numbbe on-ation o geparticle on-mentupp c bou.d on-mentagmentati efficie. u.u