Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Iyer, Sumun"'
Autor:
Iyer, Sumun, Shinko, Forte
We show that for a countable discrete group which is locally of finite asymptotic dimension, the generic continuous action on Cantor space has hyperfinite orbit equivalence relation. In particular, this holds for free groups, answering a question of
Externí odkaz:
http://arxiv.org/abs/2409.03078
Autor:
Iyer, Sumun
We develop a Ramsey-like theorem for subsets of the two and three-dimensional simplex. A generalization of the combinatorial theorem presented here to all dimensions would produce a new proof that $\textrm{Homeo}_+[0,1]$ is extremely amenable (a theo
Externí odkaz:
http://arxiv.org/abs/2309.17274
Autor:
Iyer, Sumun
The main result is that the group $\textrm{Homeo} (K)$ of homeomorphisms of the universal Knaster continuum contains an open subgroup with a comeager conjugacy class. Actually, this open subgroup is the very natural subgroup consisting of degree-one
Externí odkaz:
http://arxiv.org/abs/2308.13023
Autor:
Iyer, Sumun
We define a projective Fraiss\'e family whose limit approximates the universal Knaster continuum. The family is such that the group $\textrm{Aut}(\mathbb{K})$ of automorphisms of the Fraiss\'e limit is a dense subgroup of the group, $\textrm{Homeo}(K
Externí odkaz:
http://arxiv.org/abs/2208.02461
We consider the dynamics of light rays in triangle tilings where triangles are transparent and adjacent triangles have equal but opposite indices of refraction. We find that the behavior of a trajectory on a triangle tiling is described by an orienta
Externí odkaz:
http://arxiv.org/abs/1809.07876
Autor:
Iyer, Sumun
A star coloring of a graph $G$ is a proper vertex coloring such that the subgraph induced by any pair of color classes is a star forest. The star chromatic number of $G$ is the minimum number of colors needed to star color $G$. In this paper we deter
Externí odkaz:
http://arxiv.org/abs/1710.03910
Autor:
Defant, Colin, Iyer, Sumun
The unitary Cayley graph of $\mathbb{Z} /n \mathbb{Z}$, denoted $X_{\mathbb{Z} / n \mathbb{Z}}$, has vertices $0,1, \dots, n-1$ with $x$ adjacent to $y$ if $x-y$ is relatively prime to $n$. We present results on the tightness of the known inequality
Externí odkaz:
http://arxiv.org/abs/1708.01305
Akademický článek
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Autor:
Defant, Colin, Iyer, Sumun
Publikováno v:
In Discrete Mathematics October 2018 341(10):2742-2752
