James Tanis

activity

20112020

most citedThe Cohomological Equation and Invariant Distributions for Horocycle Maps

9 citations · 14 across the 9 of their papers we have counts for

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Showing 2018Show all

2 papers · 1 filter

math.DS2018

Cohomological equation and cocycle rigidity of discrete parabolic actions

James Tanis, Zhenqi Jenny Wang

We study the cohomological equation for discrete horocycle maps on $S L (2, R)$ and $S L (2, R) \times S L (2, R)$ via representation theory. Specifically, we pro…

math.DS2018

Cohomological equation and cocycle rigidity of discrete parabolic actions in some higher rank Lie groups

James Tanis, Zhenqi Jenny Wang

Let $G$ denote a higher rank $R$ -split simple Lie group of the following type: $S L (n, R)$ , $S O_{o} (m, m)$ , $E_{6 (6)}$ , $E_{7 (7)}$ and $E_{8 (8)}$ , where $m\geq…