4 problems
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Subquadratic conjecture for lazy transposition shuffles
Subquadratic conjecture.
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Monotonicity and convexity conjecture for the interpolated spectral gap
Let be a regular vector and let denote the unweighted vector. For , define … Let be the corresponding transition matrix, and let…
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The Gap Problem for the spectral gap of the permutation chain
Let be a regular vector, let be the unweighted vector, and for define … Let be the corresponding transition matrix, and write…
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Optimality conjecture for two-step lazy transposition shuffles
Optimality conjecture for -shuffles.