2 problems
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The spectral characterization conjecture for the averaging operator on the Basilica group
Spectral characterization conjecture. The spectrum of is the intersection of the line with , shrunk by a factor of . This conjecture proposes…
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Nekrashevych's intermediate-growth conjecture for iterated monodromy groups
Let be a quadratic polynomial whose critical orbit is preperiodic, and let its iterated monodromy group be the group obtained from the monodromy actions on the successive itera…