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math.CO2025
Talagrand-Type Correlation Inequalities for Submodular and Supermodular Functions on the Hypercube
Fan Chang, Yu Chen
Talagran's correlation inequality provides quantitative lower bounds on the covariance of two increasing Boolean functions in terms of their coordinate influences, but, in general,…
math.CV2025
Vanishing, Unbounded and Angular Shifts on the Quotient of the Difference and the Derivative of a Meromorphic Function
Lasse Asikainen, Yu Chen, Risto Korhonen
We show that for a vanishing period difference operator of a meromorphic function \( f \), there exist the following estimates regarding proximity functions, \[ \lim_{η\to 0} m_η\l…