Solves multiple fractional cohomological equations of sum type to prove exponential decay of correlations and super-exponential all-order mixing on nilmanifolds under partial regularity.
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Introduces a new solvability theory for multiple fractional cohomological equations of Type II to establish effective higher-order mixing with partial regularity in the semisimple setting.
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Multiple Fractional Cohomological Equations and Quantitative Mixing on Nilmanifolds
Solves multiple fractional cohomological equations of sum type to prove exponential decay of correlations and super-exponential all-order mixing on nilmanifolds under partial regularity.
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Multiple mixing and multiple fractional cohomological equation: semisimple setting
Introduces a new solvability theory for multiple fractional cohomological equations of Type II to establish effective higher-order mixing with partial regularity in the semisimple setting.