4 papers
Dimensions of surface repellers and attractors of non-linear planar IFSs
Jialun Li, Wenyu Pan, Yao Tong +1
We establish that for a -generic surface repeller (), its Hausdorff and box dimensions are exactly the unique zero of the sub-additive topological pressure…
The symmetries of affine -systems and a program for centralizer rigidity
Danijela Damjanović, Amie Wilkinson, Chengyang Wu +1
Let Aff(X) be the group of affine diffeomorphisms of a closed homogeneous manifold X=G/B admitting a G-invariant Lebesgue-Haar probability measure . For Aff(X), let $Z^…
On the dimension of limit sets on via stationary measures: variational principles and applications
Yuxiang Jiao, Jialun Li, Wenyu Pan +1
In this article, we establish the variational principle of the affinity exponent of Borel Anosov representations. We also establish such a principle of the Rauzy gasket. In Li-Pan-…
On the dimension of limit sets on via stationary measures: the theory and applications
Jialun Li, Wenyu Pan, Disheng Xu
This paper investigates the (semi)group action of on , a primary example of non-conformal, non-linear, and non-strictly contra…