简介：Inthisarticle,wemainlydiscusstheasymptoticbehaviorformulti-dimensionalcontinuous-timerandomwalkinrandomenvironmentwithholdingtimes.Byconstructingarenewalstructureandusingthepoint'environmentviewedfromtheparticle',underGeneralKalikow'sCondition,weshowthelawoflargenumbers(LLN)andcentrallimittheorem(CLT)fortheescapespeedofrandomwalk.

简介：Inthispaper,westudystronglawsoflargenumbersforrandomwalksinrandomsceneries.Somemildsufficientconditionsforthevalidityofstronglawsoflargenumbersareobtained.

简介：Firstofalltheauthorsintroducetheconceptsofrandomsub-self-similarsetandrandomshiftsetandthenconstructtherandomsub-self-similarsetbyarandomshiftsetandacollectionofstatisticalcontractionoperators.

简介：Aresultregardinginvariantrandomapproximationisproved.

简介：InthepresentpaperweintroducearandomiterationschemeforthreerandomoperatorsdefinedonaclosedandconvexsubsetofauniformlyconvexBanachspaceandproveitsconvergencetoacommonfixedpointofthreerandomoperators.Theresultisalsoanextensionofaknowntheoreminthecorrespondingnon-randomcase.

简介：Overthepasttwodecades,wheneveracopyofJournalofGeologicalSocietyoflndiahasreachedmyhand,thefirstthingIhavedoneisreadtheeditorial.Nomatterwhattheirtopicsare,theseessaysareneverdullbutlivelyandprecisepresentationsofvariousearthscienceissuesfacingthedevelopingcountriesandoftentimestheworldaswell.ComingfromthepenofDr.B.P.Radhakrishna,

简介：Let(Ω,A,P)beaprobabilityspace,X(t,ω)arandomfunctioncontinuousinprobabilityfort∈[0,∞)or(-∞,+∞)(ω∈Ω),andF(t)apositivefunctioncontinuousfort∈[0,+∞)or(-∞,+∞).IfX(t,ω)andF(t)verifycertainconditions,thenthereexistaasequence{Qn(t,ω)}ofrandompolynomialssuchthatwehavealmostsurely:fort[0,+∞)or(-∞,+∞),lim↑n→+∞|X(t,ω)-Qn(t,ω)|/F(t)=0.

简介：ＡｔｔｈｅｉｎｖｉｔａｔｉｏｎｏｆＤｉｓｔｒｉｃｔ５１７０，ＲｏｔａｒｙＣｌｕｂｏｆＣａｌｉｆｏｒｎｉａｏｆＵＳＡ，ａ５ｍｅｍｂｅｒＣＡＦＩＵｄｅｌｅｇａｔｉｏｎｈｅａｄｅｄｂｙＭｒ．ＴａｎＲｏｎｇｇｅｎ，ＣｏｕｎｃｉｌＭｅｍｂｅｒ，ｖｉｓｉｔ...

简介：让Gn，d是有n顶点的一张随机的d常规的图，在此d=o(n)。给一张固定的图H，YH在Gn，d。在这篇论文，作者决定事件的阀值“YH>0'，并且也在阀值间隔内获得劝诱的潜水艇图计数。

简介：在这份报纸，模仿大聚类系数和在许多真实建筑群存在的模块化的结构的一个随机的派系网络模型联网，例如社会网络，人工的网络，和蛋白质相互作用网络，吗被联合Erd的随机的选择规则介绍?s和R.愠辀?辀吗？？

简介：Inthispaper,weintroducetheapplicationofrandommatricesinmathematicalphysicsincludingRiemann-Hilbertproblem,nuclearphysics,bigdata,imageprocessing,compressedsensingandsoon.WestartwiththeRiemannHilbertproblemandstatetherelationbetweentheprobabilitydistributionofnontrivialzerosandtheeigenvaluesoftherandommatrices.Throughtherandommatricestheory,wederivethedistributionofNeutronwidthandprobabilitydensitybetweenenergylevels.Inaddition,theapplicationofrandommatricesinquantumchromodynamicsandtwodimensionalEinsteingravityequationsisalsopresentinthispaper.

简介：本文首次给出了非线性随机效应模型参数估计弱相合性的必要条件，并证明了在一定正则条件下估计的强相合性和渐近正态性，推广了ＢｒｅｓｌｏｗａｎｄＣａｌｙｔｏｎ（１９９３），ＬｅａｎｄＮｅｌｄｅｒ（１９９６）的结果．

简介：Thispaperreportsacoherentrandommicrocavitylaserthatconsistsofadisorderedcladding(scattering)layerandalight-amplificationcorefilledwithdyesolution.Coldcavityanalysisindicatesthattherandomresonancemodessupportedbytheproposedcavitycanbeeffectivelyexcited.Withintroducingthegainmaterial,randomlasingbyspecificmodesisobservedtoshowtypicalfeaturesofcoherentrandomlasers,suchasspatiallyincoherentemissionofrandommodes.Byinsertingametalnanoparticleintothegainregion,emissionwavelength/intensityoftherandomlaserscanbeconsiderablytunedbychangingthepositionoftheinsertednanoparticle,openingupnewavenuesforcontrollingoutputofrandomlasersandsensingapplications(e.g.,smallparticleidentification,location,etc.).

简介：让N=(G，c)一个随机的电的网络被在随机的图G\mathbbG\mathbb为每个边分配某个抵抗获得{G}(n，p)并且边界顶点上的潜力。在这份报纸，我们证明与高概率，G的所有顶点的潜在的分发离一个常数很靠近。

简介：Inthispaperweshowthcmethodofenergyinpartwithwhichwecangetthemodelofrandomwave,andpredicttherollmotionofunstabilizedshipandstabilizedshipusingthewavemodel.Thecontrolparametersoffinstabilizeraredeterminedaccordingtotheperformanceindex.Thesimulationofthesystemisalsomadeinthispaper.Thecomparisonofthesimulationwithrealshipindicatesthatthemethodcanbeusedinthepredictionofrollmotionofastabilizedshipinrandomwave.

简介：Thedualrandommodelsaboutthelifeinsuranceandsocialpensioninsurancehavereceivedconsiderableattentionintherecentarticlesonactuarialtheoryandapplications.Thispaperdiscussesageneralkindofincreasingannuitybasedonitsforceofinterestaccumulationfunctionasageneralrandomprocess.Thedualrandommodelofthepresentvalueofthebenefitsoftheincreasingannuityhasbeenset,andtheirmomentshavebeencalculatedundercertainconditions.

简介：ThispapercontainstheKolmogorov-Prokhorovexponentialinequalitiesfordependentrandomvariables,i.e.,forφ-mixing,ρ--mixingandα--mixing.Asanapplication,thelawofiteratedlogarithmisestablishedforstationaryα--mixingsequenceunderanearlybestassumption.

简介：在这篇文章，Dirichlet系列的唯一定理被证明。然后在权利的随机的Dirichlet系列半飞机被学习，并且有限顺序的随机的Dirichlet系列几乎肯定有的结果(a.s)没有缺乏的功能被证明。给词调音：随机的系列；Dirichlet系列；缺乏的多项式；价值分发

简介：让{X，Xk：k1}是扩大否定地依赖的随机的一个序列有普通分发F令人满意的前的变量>0。让是nonnegative珍视整数的随机的变量，独立于{X，Xk：k1}。在这份报纸，作者为随机的和$S_\tau=\sum\limits_获得必要、足够的条件{n=1}^\tau{X_n}$当随机的数字比被加数有一条更重的尾巴时，有一条一致地变化的尾巴，即，$\frac{{P(X>x)}}{{P(\tau>x)}}\to0$作为x。

简介：Inthispapertheauthorsgeneralizetheclassicrandombipartitegraphmodel,anddefineamodeloftherandombipartitemultigraphsasfollows:letm=m(n)beapositiveinteger-valuedfunctiononnandζ(n,m;{pk})theprobabilityspaceconsistingofallthelabeledbipartitemultigraphswithtwovertexsetsA={a_1,a_2,...,a_n}andB={b_1,b_2,...,b_m},inwhichthenumberst_(ai),b_joftheedgesbetweenanytwoverticesa_i∈Aandb_j∈BareidenticallydistributedindependentrandomvariableswithdistributionP{t_(ai),b_j=k}=pk,k=0,1,2,...,wherepk≥0and∞Σk=0pk=1.TheyobtainthatX_(c,d,A),thenumberofverticesinAwithdegreebetweencanddofG_(n,m)∈ζ(n,m;{pk})hasasymptoticallyPoissondistribution,andanswerthefollowingtwoquestionsaboutthespaceζ(n,m;{pk})with{pk}havinggeometricdistribution,binomialdistributionandPoissondistribution,respectively.Underwhichconditionfor{pk}cantherebeafunctionD(n)suchthatalmosteveryrandommultigraphG_(n,m)∈ζ(n,m;{pk})hasmaximumdegreeD(n)inA?underwhichconditionfor{pk}hasalmosteverymultigraphG(n,m)∈ζ(n,m;{pk})auniquevertexofmaximumdegreeinA?