Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Lee, Homin"'
Autor:
Lee, Homin, Sandfeldt, Sven
We prove global rigidity results for actions of higher rank lattices on nilmanifolds containing a partially hyperbolic element. We consider actions of higher rank lattices on tori or on $2-$step nilpotent nilmanifolds, such that the actions contain a
Externí odkaz:
http://arxiv.org/abs/2410.00784
Let $f$ and $g$ be two volume preserving, Anosov diffeomorphisms on $\mathbb{T}^2$, sharing common stable and unstable cones. In this paper, we find conditions for the existence of (dissipative) neighborhoods of $f$ and $g$, $\mathcal{U}_f$ and $\mat
Externí odkaz:
http://arxiv.org/abs/2409.18252
Autor:
Brown, Aaron, Lee, Homin
We study smooth actions by lattices $\Gamma$ in higher-rank simple Lie groups $G$ assuming one element of the action acts with positive topological entropy and prove a number of new rigidity results. For lattices $\Gamma$ in $\mathrm{SL}(n,\mathbb{R}
Externí odkaz:
http://arxiv.org/abs/2409.05991
In this article, we first provide a survey of pressure metrics on various deformation spaces in geometry, topology, and dynamics. Then we discuss pressure metrics and their degeneracy loci on the space of quasi-Blaschke products
Comment: 19 page
Comment: 19 page
Externí odkaz:
http://arxiv.org/abs/2407.18441
Autor:
Masson, Charles, Lee, Homin K.
Consistent range-hashing is a technique used in distributed systems, either directly or as a subroutine for consistent hashing, commonly to realize an even and stable data distribution over a variable number of resources. We introduce FlipHash, a con
Externí odkaz:
http://arxiv.org/abs/2402.17549
Autor:
Lee, Homin K., Masson, Charles
Large, distributed data streams are now ubiquitous. High-accuracy sketches with low memory overhead have become the de facto method for analyzing this data. For instance, if we wish to group data by some label and report the largest counts using fixe
Externí odkaz:
http://arxiv.org/abs/2402.08604
E. Breuillard showed that finite subsets $F$ of matrices in $GL_d(\overline{\mathbb{Q}})$ generating non-virtually solvable groups have normalized height $\widehat{h}(F) \ge \epsilon_d$, for some positive $\epsilon_d >0$. The normalized height $\wide
Externí odkaz:
http://arxiv.org/abs/2110.15404
BACKGROUND:It is common for the results of a microarray study to be analyzed in the context of biologically-motivated groups of genes such as pathways or Gene Ontology categories. The most common method for such analysis uses the hypergeometric distr
Externí odkaz:
http://hdl.handle.net/10150/610121
http://arizona.openrepository.com/arizona/handle/10150/610121
http://arizona.openrepository.com/arizona/handle/10150/610121
Autor:
Lee, Homin
We prove that any smooth volume-preserving action of a lattice $\Gamma$ in $\textrm{SL}(n,\mathbb{R})$, $n\ge 3$, on a closed $n$-manifold which possesses one element that admits a dominated splitting should be standard. In other words, the manifold
Externí odkaz:
http://arxiv.org/abs/2010.11874
Autor:
Lee, Homin
Let $\Gamma$ be a weakly irreducible higher rank lattice. In this paper, we will prove various rigidity results for the $\Gamma$-action following a philosophy of the Zimmer program. We provide new rigidity results including local and global rigidity
Externí odkaz:
http://arxiv.org/abs/2002.02485