33 citations · 290 across the 54 of their papers we have counts for
57 papers
Norm-variation of triple ergodic averages for commuting transformations
Polona Durcik, Lenka Slavíková, Christoph Thiele
We prove an -variation estimate, , in the norm for ergodic averages with respect to three commuting transformations. It is not known whether such estimates hold for all $r\…
Phase space localizing operators
Marco Fraccaroli, Olli Saari, Christoph Thiele
We construct phase space localizing operators in all dimensions. These are frequency localized variants of the conditional expectation operator related to a dyadic stopping time. O…
When does maximize Fourier extension for a conic section?
Giuseppe Negro, Diogo Oliveira e Silva, Christoph Thiele
In the past decade, much effort has gone into understanding maximizers for Fourier restriction and extension inequalities. Nearly all of the cases in which maximizers for inequalit…
Local bounds for singular Brascamp-Lieb forms with cubical structure
Polona Durcik, Lenka Slavíková, Christoph Thiele
We prove a range of bounds for singular Brascamp-Lieb forms with cubical structure. We pass through sparse and local bounds, the latter proved by an iteration of Fourier expa…
Paraproducts for bilinear multipliers associated with convex sets
Olli Saari, Christoph Thiele
We prove bounds in the local range for exotic paraproducts motivated by bilinear multipliers associated with convex sets. One result assumes an exponential boundary curve.…
A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows
Chen Liu, Deep Ray, Christopher Thiele +2
In this paper, we present an efficient numerical algorithm for solving the time-dependent Cahn--Hilliard--Navier--Stokes equations that model the flow of two phases with different…