4 papers
math.DS2021
Sublacunary sets and interpolation sets for nilsequences
Anh N. Le
A set is an interpolation set for nilsequences if every bounded function on can be extended to a nilsequence on . Following a theorem of Strz…
math.DS2019
Interpolation sets and nilsequences
Anh N. Le
To give positive answer to a question of Frantzikinakis, we study a class of subsets of , called interpolation sets, on which every bounded sequence can be extended to…
math.DS2019
Multidimensional configurations in the primes with shifted prime steps
Anh Le, Thái Hoàng Lê
Let denote the set of primes. For a fixed dimension , Cook-Magyar-Titichetrakun, Tao-Ziegler and Fox-Zhao independently proved that any subset of positive relative…
math.DS2018
Optimal lower bounds for multiple recurrence
Sebastián Donoso, Anh N. Le, Joel Moreira +1
Let be an ergodic measure preserving system, and . We study the largeness of sets of the form \begin{equation*} \begin{split} S = \l…