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pro vyhledávání: '"Kogler, Constantin"'
Autor:
Kittle, Samuel, Kogler, Constantin
We give a condition for absolute continuity of self-similar measures in arbitrary dimensions. This allows us to construct the first explicit absolutely continuous examples of inhomogeneous self-similar measures in dimension one and two. In fact, for
Externí odkaz:
http://arxiv.org/abs/2409.18936
Autor:
Kim, Wooyeon, Kogler, Constantin
We prove effective density of random walks on homogeneous spaces, assuming that the underlying measure is supported on matrices generating a dense subgroup and having algebraic entries. The main novelty is an argument passing from high dimension to e
Externí odkaz:
http://arxiv.org/abs/2303.09499
Autor:
Kogler, Constantin
We reduce the local limit theorem for a non-compact semisimple Lie group acting on its symmetric space to establishing that a natural operator associated to the measure is quasicompact. Under strong Diophantine assumptions on the underlying measure,
Externí odkaz:
http://arxiv.org/abs/2211.11128
Autor:
Kim, Wooyeon, Kogler, Constantin
Publikováno v:
IMRN: International Mathematics Research Notices; Jun2024, Vol. 2024 Issue 11, p9218-9236, 19p