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1. Self-Similar Surfaces: Involutions and Perfection

   https://doi.org/10.1307/mmj/20216114  

   Malestein, Justin; Tao, Jing (July 2024, Michigan Mathematical Journal)

   We investigate the problem of when big mapping class groups are generated by involutions. Restricting our attention to the class of self-similar surfaces, which are surfaces with self-similar ends spaces, as defined by Mann and Rafi, and with 0 or infinite genus, we show that when the set of maximal ends is infinite, then the mapping class groups of these surfaces are generated by involutions, normally generated by a single involution, and uniformly perfect. In fact, we derive this statement as a corollary of the corresponding statement for the homeomorphism groups of these surfaces. On the other hand, among self-similar surfaces with one maximal end, we produce infinitely many examples in which their big mapping class groups are neither perfect nor generated by torsion elements. These groups also do not have the automatic continuity property. 

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2. How similar are objects and events?

   https://doi.org/10.1556/2062.2018.65.2-3.9  

   Wellwood, Alexis; Hespos, Susan J.; Rips, Lance (June 2018, Acta Linguistica Academica)
3. How similar are objects and events?

   Wellwood, A.; Hespos, S. J.; Rips, L. (July 2018, Acta Linguistica)

   Semanticists often assume an ontology for natural language that includes not only ordinary objects, but also events, as well as further distinctions. We link this ontology to how speakers represent static and dynamic entities. Specifically, we test how speakers determine whether an entity counts as “atomic” by using count vs. mass (e.g., some gleebs, some gleeb) and distributive vs. non-distributive descriptions (e.g., gleeb every second or so, gleeb around a little). We then seek evidence for atomic representation in a non-linguistic task. Ultimately we suggest that natural language ontology reveals properties of language-independent conceptualization. 

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4. Self-similar sets and Lipschitz graphs

   Davey, Blair; Ghinassi, Silvia; Wilson, Bobby (July 2024, arXivorg)
5. Self-similar sets and Lipschitz graphs

   Davey, Blair; Ghinassi, Silvia; Wilson, Bobby (July 2024, ArXiv)