dc.contributor.author
Berk, P.
dc.contributor.author
Trujillo, Frank
dc.date.accessioned
2025-07-04T09:23:25Z
dc.date.available
2025-07-04T09:23:25Z
dc.date.issued
2025-04-04
dc.identifier.uri
http://hdl.handle.net/2072/484501
dc.description.abstract
We consider skew product extensions over symmetric interval exchange transformations on the unit interval [0,1) with respect to the cocycle f = χ(0,½) - χ(½,1). We prove that for almost every interval exchange transformation T with symmetric combinatorial data, the skew product Tf : [0,1) x Z → [0,1) given by Tf(x,r) = (T(x),r+f(x)) is ergodic with respect to the product of the Lebesgue and counting measures.
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dc.description.sponsorship
Both authors acknowledge the support of the Swiss National Science Foundation through Grant 200021_188617{1. The first author also thanks the National Science Centre (Poland) Grant OPUS 2022/45/B/ST1/00179. The second author was partially supported by the UZH Postdoc Grant, grant no. FK-23-133, by the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R&D (CEX2020-001084- M) and by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant 101154283.
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dc.format.extent
19 p.
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dc.publisher
EMS Press
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dc.relation.ispartof
Journal of the European Mathematical Society
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dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Interval exchange transformations
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dc.subject.other
Ergodicity of infinite extensions
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dc.title
On the ergodicity of infinite antisymmetric extensions of symmetric IETs
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.4171/jems/1635
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
