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Christian Hirsch

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Preprint Jul 2026

Local large deviations for linear-region growth in random piecewise-linear networks

This work introduces a finite-state defect process that records branches whose future splitting can be guaranteed, and uses bridge words to obtain constructive upper-tail lower bounds, and proves the existence of a submultiplicative pressure for N_n, yielding exponential upper bounds for both tails of N_n.

Recep Ozkan, Christian Hirsch · 0 citations

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