Younghwan Son
Department of Mathematics, POSTECH, 77 Cheongam-Ro, Nam-Gu, Pohang, Gyeongbuk, Korea 37673
email: yhson@postech.ac.kr
Papers
Joint normality of representations of numbers: an ergodic approach, jointly with V. Bergelson, submitted.
Joint ergodicity of piecewise monotone interval maps, jointly with V. Bergelson, Nonlinearity 36 (2023) 3376–3418.
On the multiple recurrence properties for disjoint systems, jointly with Michihiro Hirayama and Dong Han Kim, Israel Journal of Mathematics. 247, 405-431 (2022).
An extension of Weyl's equidistribution theorem to generalized polynomials and applications, jointly with V. Bergelson and I. J. H. Knutson, International Mathematics Research Notices, Volume 2021, Issue 19, 2021, Pages 14965–15018.
Birkhoff sum fluctuations in substitution dynamical systems, jointly with E. Paquette, Ergodic Theory and Dynamical Systems, 39, (2019), 1971-2005.
Uniform distribution of subpolynomial functions along primes and applications, jointly with V. Bergleson and G. Kolesnik , Journal d'Analyse Mathematique, (2019), Vol 137, 135-187.
Joint ergodicity along generalized linear functions, jointly with V. Bergelson and A. Leibman, Ergodic Theory and Dynamical Systems, 36, (2016), 2044-2075.
Substitutions, tiling systems and minimal self-joinings, Discrete and Continuous Dynamical Systems 34, (2014), no. 11, 4855-4874.
Uniform distribution of prime powers and set of recurrence and van der Corput set in Z^d, jointly with V. Bergelson, G. Kolesnik, M. Madritsch, and R. Tichy, Israel Journal of Mathematics 201 (2014), no. 2, 729-760.
Joint ergodicity of actions of an Abelian group, Ergodic Theory and Dynamical Systems, 34, (2014), 1353-1364.
Winter School: Ergodic Theory and Dynamical Systems (2022 Jan 17-20)