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math.FA2026-06-302 minarXiv:2607.00123
Threshold 2: How a Rubber Ruler Withstands Endless Averaging
2 is the threshold beyond which a well-behaved sequence risks losing its structure. Instead of the usual uniform scale, picture a rubber ruler with uneven elasticity. That's exactly how Orlicz spaces work: Banach spaces of sequences where each scale has its own stiffness, described by a convex Young function (a kind of spring).