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作者:Javier Ribón
来源:[J].Mathematische Zeitschrift(IF 0.879), 2017, Vol.285 (1-2), pp.519-548Springer
摘要:Abstract(#br)We show recurrent phenomena for orbits of groups of local complex analytic diffeomorphisms that have a certain subgroup or image by a morphism of groups that is non-virtually solvable. In particular we prove that a non-virtually solvable subgroup of local biholomorph...
作者:Javier Ribón
来源:[J].Israel Journal of Mathematics(IF 0.646), 2018, Vol.227 (1), pp.289-329Springer
摘要:Abstract(#br)We are interested in classifying groups of local biholomorphisms (or even formal diffeomorphisms) that can be endowed with a canonical structure of algebraic groups and their subgroups. Such groups are called finitedimensional. We obtain that cyclic groups, virt...
作者:Mitchael Martelo , Javier Ribón
来源:[J].Mathematische Annalen(IF 1.378), 2014, Vol.358 (3-4), pp.701-728Springer
摘要:Abstract(#br)Let $$G$$ G be a solvable subgroup of the group $${\mathrm{Diff}{{\,}_{}(\mathbb{C }^{n},0)}}$$ Diff ( C n , 0 ) of local complex analytic diffeomorphisms. Analogously as for groups of matrices we bound the solvable length of $$G$$ G by a...
作者:Javier Ribón
来源:[J].Journal of Differential Equations(IF 1.48), 2012, Vol.253 (12), pp.3211-3231Elsevier
摘要:Abstract(#br)In [Xiang Zhang, The embedding flows of C ∞ hyperbolic diffeomorphisms, J. Differential Equations 250 (5) (2011) 2283–2298] Zhang proved that any local smooth hyperbolic diffeomorphism whose eigenvalues are weakly nonresonant is embedded in the flow of a smooth ...
作者:Javier Ribón
来源:[J].Bulletin of the Brazilian Mathematical Society, New Series(IF 0.348), 2012, Vol.43 (2), pp.247-283Springer
摘要:Abstract(#br)We study the formal conjugacy properties of germs of complex analytic diffeomorphisms defined in the neighborhood of the origin of ℂ n . More precisely, we are interested in the nature of formal conjugations along the fixed points set. We prove that there are fo...
作者:Javier Ribón
来源:[J].Journal für die reine und angewandte Mathematik (Crelles Journal)(IF 1.083), 2019, Vol.2019 (752), pp.105-139De Gruyter
摘要:Abstract We are interested in the algebraic properties of groups of local biholomorphisms and theirconsequences. A natural question is whether the complexity of solvable groups is boundedby the dimension of the ambient space. In this spirit weshow that 2 ⁢ n + 1 ...
作者:Javier Ribón
来源:[J].Annales de l'institut Fourier(IF 0.527), 2009, Vol.59 (3), pp.951-975CEDRAM
摘要:The formal class of a germ of diffeomorphism $\varphi $ is embeddable in a flow if $\varphi $ is formally conjugated to the exponential of a germ of vector field. We prove that there are complex analytic unipotent germs of diffeomorphisms at $\mathbb{C}^{n}$ ($n>1$) whose formal ...

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