简介：我将介绍从阿基托·阿里马教授在过去的年里做了的选择的题目的一篇很简短的摘要。我将在混合的配置上并且在交往的波色子模型上集中于起始的工作。因为这些题目上有许多文学，我将集中什么被做了在起始或在史前阶段。由做这，我们将看阿基托·阿里马教授怎么从擦伤开始了。

简介：ThispapersummarizedrecentachievementsobtainedbytheauthorsabouttheboxdimensionsoftheBesicovitchfunctionsgivenbyB(t):=∞∑k=1λs-2ksin(λkt),where1＜s＜2,λk＞0tendstoinfinityask→∞andλksatisfiesλk+1/λk≥λ＞1.Theresultsshowthatlimk→∞logλk+1/logλk=1isanecessaryandsufficientconditionforGraph(B(t))tohavesameupperandlowerboxdimensions.ForthefractionalRiemann-LiouvilledifferentialoperatorDuandthefractionalintegraloperatorD-v,theresultsshowthatifλissufficientlylarge,thenanecessaryandsufficientconditionforboxdimensionofGraph(D-v(B)),0＜v＜s-1,tobes-vandboxdimensionofGraph(Du(B)),0＜u＜2-s,tobes+uisalsolimk→∞logλk+1/logλk=1.

简介：有限的组G的亚群H被称为TI亚群如果H∩H~x=1或Hfor所有x∈G。在这篇论文，为有限p组，所有abeliansubgroups在是TI亚群的一个完全的分类，被给。

简介：Inthispaper,thesharpdistortiontheoremsoftheFr′echet-derivativetypeforasubclassofbiholomorphicmappingswhichhaveaparametricrepresentationontheunitballofcomplexBanachspacesareestablished,andthecorrespondingresultsoftheabovegeneralizedmappingsontheunitpolydiskinC~narealsogiven.Meanwhile,thesharpdistortiontheoremsoftheJacobideterminanttypeforasubclassofbiholomorphicmappingswhichhaveaparametricrepresentationontheunitballwithanarbitrarynorminC~nareobtained,andthecorrespondingresultsoftheabovegeneralizedmappingsontheunitpolydiskinC~naregotaswell.Thus,someknownresultsinpriorliteraturesaregeneralized.

简介：Inthispaperthefollowingresultisobtained:Supposef(x.u,v)isnonnegative,con-tinuousin(a,b)×R^+×R^+;fmaybesingularatx=a(and/orx=b)andv=0;fisnonde-creasingonuforeachx,v,nonincreasingonv[oreachx.u;thereexistsaconstantq∈(0,1)suchthatt^qf(x,t^-1u,tu)≤f(x,u,u)≤λqf(x,λ^-1u,λu),V00,e(x)=G(x,x),G(x,y)isGreen'sfunctionofabovementionedboundaryvalueproblem(whenf(x,u,v)≡O).

简介：在标题提及的组被分类直到同晶型。这是Berkovich和Janko建议的一个问题的一个答案。