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math.LO2026
Algorithmic randomness in harmonic analysis
Johanna N. Y. Franklin, Lucas E. Rodriguez, Diego A. Rojas
Within the last fifteen years, a program of establishing relationships between algorithmic randomness and almost-everywhere theorems in analysis and ergodic theory has developed. I…
math.LO2025
Failure Modes for Structural Highness Notions
Wesley Calvert, Johanna N. Y. Franklin, Dan Turetsky
In a previous paper, entitled "Structural Highness Notions," we defined several classes of degrees that are high in senses related to computable structure theory. Each class of deg…