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math.CA2024
Spread Furstenberg Sets
Paige Bright, Manik Dhar
We obtain new bounds for (a variant of) the Furstenberg set problem for high dimensional flats over . In particular, let , ,…
math.CO2024
Rigidity matroids and linear algebraic matroids with applications to matrix completion and tensor codes
Joshua Brakensiek, Manik Dhar, Jiyang Gao +2
We establish a connection between problems studied in rigidity theory and matroids arising from linear algebraic constructions like tensor products and symmetric products. A specia…