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Central limit theorems on nilpotent Lie groups
Central limit theorems nilpotent Lie groups
2009/9/23
The Lindeberg theorem is derived on stratilied nilpotent
Lie groups; that is a normal convergence theorem for a triangular
system of probability measures in case of bounded (homogemous)
moments of ...
Laws of large numbers on simply connected step 2-nilpotent Lie groups
Laws of large numbers step 2-nilpotent Lie groups
2009/9/22
The Strong Law of Large Numbers due to Marcinkiewicz
and Zygmund is carried over to simply connected step 2-nilpotent
Lie groups. Moreover, for such groups, we prove analogues of the
classical theo...
On normalizers and centralizers of compact Lie groups. Applications to structural probability theory
Exponent commuting exponent operator-semistable law operator-stable law
2009/9/21
The concept of operator stability on finitedimensional
vector spaces V was generalized in the past into several directions. In
particular, operator-semistable and self-decomposable laws and self-
-...