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Titlebook: High Dimensional Probability IX; The Ethereal Volume Radosław Adamczak,Nathael Gozlan,Mokshay Madiman Conference proceedings 2023 The Edito

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Transport Proofs of Some Functional Inverse Santaló InequalitiesTransport inequalities in dimension 1, which therefore gives an alternative transport proof of the sharp functional Mahler conjecture in dimension 1, for both the symmetric and the general case. We also revisit the proof of the functional inverse Santaló inequalities in the . dimensional unconditional case using these transport ideas.
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Functional Central Limit Theorem via Nonstationary Projective Conditionsand alpha-dependent triangular arrays, stationary sequences in a random time scenery, application to the quenched FCLT, application to linear statistics with alpha-dependent innovations, and application to functions of a triangular stationary Markov chain.
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https://doi.org/10.1007/978-3-031-26979-0High dimensional probability; Convexity inequality; Limit theorems; Stochastic processes; High-dimension
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Progress in Probabilityhttp://image.papertrans.cn/h/image/426219.jpg
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Boolean Functions with Small Second-Order Influences on the Discrete Cubeuss space has been investigated in detail, the present note studies it in a more specific context of Boolean functions on the discrete cube. Some bounds that Tanguy obtained in Tanguy (J Theoret Probab 33:692–714, 2020) as applications of his more general approach are extended and complemented.
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