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INVARIANT MEASURE,RATIO LIMITS AND MARTIN BOUNDARY

INVARIANT MEASURE,RATIO LIMITS AND MARTIN BOUNDARY
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摘要 In this article the notion of quasi symmetry is introduced.It is proved that the quasi symmetry is equivalent to the uniqueness of invariant measure of Lévy processes in some sense.Moreover,the relationship between ratio limits and invariant measures is studied. In this article the notion of quasi symmetry is introduced.It is proved that the quasi symmetry is equivalent to the uniqueness of invariant measure of Lévy processes in some sense.Moreover,the relationship between ratio limits and invariant measures is studied.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第4期465-472,共8页 高校应用数学学报(英文版)(B辑)
关键词 convolution semigroup invariant measure Martin boundary QUASI symmetry. convolution semigroup,invariant measure,Martin boundary,quasi symmetry.
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参考文献5

  • 1Ney,P.,Spitzer,F.,The Martin boundary for randomwalk,Trans.Amer.Math.Soc.,1966,121:116-132.
  • 2Port,S.C.,Stone,C.J.,Infinitely Divisable Processes and Their Potential Theory Ⅰ-Ⅱ,Ann.Inst.Fourier,1971,21(2):157-275.
  • 3Stone,C.J.,Ratio limit theorems for random walks ongroups,Trans.Amer.Math.Soc.,1966,125:86-100.
  • 4Stone,C.J.,On local and ratio limit theorems,Proceedings of the Fifth BerkeleySymposium on Probability and Statistics,Vol.Ⅱ,Part 2,1968,217-224.
  • 5Ying Jiangang,Invariant measures of symmetric Lévy processes,Proc. Amer.Math.Soc.,1994,120:267-273.

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