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math.AP2025
Uniform periodic counterexamples to Carleson's convergence problem with polynomial symbols
Daniel Eceizabarrena, Xueying Yu
In Carleson's convergence problem for dispersive equations in the periodic setting , we prove that the Sobolev exponent is ne…
math.AP2025
Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation
Chu-Hee Cho, Daniel Eceizabarrena
We study the problem of pointwise convegence for the Schrödinger operator on along time sequences. We show that the sharp counterexample to the sequential Schröding…
math.AP2025
Multifractality and intermittency in the limit evolution of polygonal vortex filaments
Valeria Banica, Daniel Eceizabarrena, Andrea R. Nahmod +1
With the aim of quantifying turbulent behaviors of vortex filaments, we study the multifractality and intermittency of the family of generalized Riemann's non-differentiable functi…