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math.CA2025
Incidence estimates for quasi-product sets and applications
Ciprian Demeter, William O'Regan
We use recent advances in the theory of Furstenberg sets to prove new incidence results of Szemerédi--Trotter strength for -discretized structures with Cartesian product flavor.…
math.CA2025
Restriction and decoupling estimates for the hyperbolic paraboloid in
Ciprian Demeter, Shukun Wu
We prove bilinear -decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in . As an application, we prove the associ…