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_papers/2023-04-06-foata.md

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title: 'Turning cycle restrictions into mesh patterns via Foata's fundamental transformation'
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title: Turning cycle restrictions into mesh patterns via Foata's fundamental transformation
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journal: Submitted
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![A tree]({{site.baseurl}}/assets/img/hertz.png){:align="right" height="200px"}
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![A mesh pattern]({{site.baseurl}}/assets/img/hertz.png){:align="right" height="200px"}
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An adjacent q-cycle is a natural generalization of an adjacent
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transposition. We show that the number of adjacent q-cycles in a
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permutation maps to the sum of occurrences of two mesh patterns under

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