What a rough curve remembers about area
One boundary occupation density classifies the realizable area lifts of a rough Jordan curve, all subarcs at once.
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Writing
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Why Simple Fermionic States Are Extremal
A probability law, a two-copy rank theorem, and the shared structures that make both proofs work.
Read the essayWhat Collisions Preserve, and How Fluids Emerge
From collision invariants in a pinned chain to fluid limits, corner memory, and macroscopic transport.
Read the essayPrescribing Infinite Patterns in Arithmetic Dynamics
New constructions for recurrence zeros, extensions of dynamical systems, and the geometry that finite-field orbits retain.
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