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of 16
pro vyhledávání: '"Rakhimov, Karim"'
Under a natural assumption on the dynamical degrees, we prove that the Green currents associated to any H\'enon-like map in any dimension have H\"older continuous super-potentials, i.e., give H\"older continuous linear functionals on suitable spaces
Externí odkaz:
http://arxiv.org/abs/2407.01984
Autor:
Abate, Marco, Rakhimov, Karim
In this paper, we study the dynamics of geodesics of Fuchsian meromorphic connections with real periods, giving a precise characterization of the possible $\omega$-limit sets of simple geodesics in this case. The main tools are the study of the singu
Externí odkaz:
http://arxiv.org/abs/2406.13353
Autor:
Brévard, Maxence, Rakhimov, Karim
We prove that, within any holomorphic family of endomorphisms of $\mathbb P^k(\mathbb C)$ in any dimension $k \geq 1$ and algebraic degree $d \geq 2$, the measurable holomorphic motion associated to dynamical stability in the sense of Berteloot-Bianc
Externí odkaz:
http://arxiv.org/abs/2405.12033
We prove that, for every invertible horizontal-like map (i.e., H{\'e}non-like map) in any dimension, the sequence of the dynamical degrees is increasing until that of maximal value, which is the main dynamical degree, and decreasing after that. Simil
Externí odkaz:
http://arxiv.org/abs/2307.10665
Autor:
Bianchi, Fabrizio, Rakhimov, Karim
We prove that, in stable families of endomorphisms of $\mathbb{P}^k(\mathbb{C})$, all invariant measures whose measure-theoretic entropy is strictly larger than $(k-1)\log d$ at a given parameter can be followed holomorphically with the parameter in
Externí odkaz:
http://arxiv.org/abs/2206.04165
Autor:
Rakhimov, Karim, Shopulatov, Shomurod
In this paper we prove a criterion for plurisubharmonic functions in terms of integral mean by complex ellipsoids. Moreover, by using the criterion we prove an analogue of Blaschke-Privalov theorem for plurisubharmonic functions.
Externí odkaz:
http://arxiv.org/abs/2105.11001
Autor:
Rakhimov, Karim
The possible omega limit sets of simple geodesics for meromorphic connections on compact Riemann surfaces have been studied by Abate, Tovena and Bianchi. In this paper, we study the same problem for infinite self-intersecting geodesics. In the first
Externí odkaz:
http://arxiv.org/abs/2011.04901
Akademický článek
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Akademický článek
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Autor:
Bianchi, Fabrizio, Rakhimov, Karim
Publikováno v:
IMRN: International Mathematics Research Notices; Jun2024, Vol. 2024 Issue 12, p9875-9892, 18p