简介:RitualWalksAroundBenrabMountain¥//LAMCOTheNyingchiareaalongtheNyangQnRiver,anareahistoricallyknownasGongbo,wasthehnmeoftheGon...
简介:ANINTERSECTIONPROPERTYOFTHESIMPLERANDOMWALKSINZ ̄dZHOUXIANYIN(DepartmentofMathematics,BeijingNormalUniversity100875,China)Abst...
简介:WestudythescalinglimitforacatalyticbranchingparticlesystemwhoseparticlesperformrandomwalksonZandcanbranchat0only.Varyingtheinitial(finite)numberofparticles,wegetforthissystemdifferentlimitingdistributions.Tobemorespecific,supposethatinitiallytherearen~βparticlesandconsiderthescaledprocessZ_t~n(●)=Z_(nt)(n~(1/2)●),whereZ_tisthemeasure-valuedprocessrepresentingtheoriginalparticlesystem.WeprovethatZ_t~nconvergesto0whenβ<1/4andtoanondegeneratediscretedistributionwhenβ=1/4.Inaddition,if1/41/2thenn~(-β)Z_t~nconvergestoadeterministiclimit.