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math.PR2025
The rank evolution of block bidiagonal matrices over finite fields
András Mészáros
We investigate uniform random block lower bidiagonal matrices over the finite field , and prove that their rank undergoes a phase transition. First, we consider block…
math.PR2024★ 1 cited
A phase transition for the cokernels of random band matrices over the p-adic integers
András Mészáros
Let be an Haar-uniform band matrix over with band width . We prove that has Cohen-Lenstra limiting distrib…