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math.CO2025
Number of orbits of -subsets of permutations
Ludovick Bouthat, Raghavendra Tripathi
Let denote the symmetric group of order . Say that two subsets are \emph{equivalent} if there exist permutations such that $g_1xg_2=y…
math.OA2025
Khintchine inequalities, trace monoids and Turán-type problems
Patrick Oliveira Santos, Raghavendra Tripathi, Pierre Youssef
We prove scalar and operator-valued Khintchine inequalities for mixtures of free and tensor-independent semicircle variables, interpolating between classical and free Khintchine-ty…
math.MG2025★ 2 cited
A note on Erdős matrices and Marcus\unicode{x2013}Ree inequality
Aman Kushwaha, Raghavendra Tripathi
In 1959, Marcus and Ree proved that any bistochastic matrix satisfies . Erdős asked to charac…