Andrey Gogolev

• E-mail gogolyev.1_located_at_osu_dot_edu
• Office MW 652

Recent papers and preprints

• Smooth rigidity for very non-algebraic Anosov diffeomorphisms of codimension one (joint with Federico Rodriguez Hertz) and earlier version which includes only the basic 3-dimensional case.
• Riemannian Anosov extension and applications (joint with Alena Erchenko and Dong Chen).
• Abelian Livshits theorems and geometric applications (joint with Federico Rodriguez Hertz) to appear in Anatole Katok CUP memorial volume.
• Surgery for partially hyperbolic dynamical systems II. Blow-up of a complex curve (joint with Federico Rodriguez Hertz) Mathematische Zeitschrift, 298 (2021), no. 3-4, 1793–1811.
• Smooth rigidity for very non-algebraic expanding maps (joint with Federico Rodriguez Hertz) to appear in Journal of European Math Society.
• Centralizers of partially hyperbolic diffeomorphisms in dimension 3 (joint with Thomas Barthelmé) Discrete Continuous Dynamical Systems, series A, 41 (2021), no. 9, 4477–4484.
• Center foliation rigidity for partially hyperbolic toral diffeomorphisms (joint Boris Kalinin and Victoria Sadovskaya).
• Local rigidity of Lyapunov spectrum for toral automorphisms (joint with Boris Kalinin and Victoria Sadovskaya) Israel Journal of Mathematics, 238 (2020), no. 1, 389-403.
• Anomalous Anosov flows revisited (joint with Thomas Barthelmé, Christian Bonatti and Federico Rodriguez Hertz) Proceedings of London Math Society, vol. 122 (2021), issue 1, 93-117.
• A numerical study of Gibbs u-measures for partially hyperbolic diffeomorphisms on T³ (joint with Aleksey Kolmogorov and Itai Maimon) Experimental Mathematics, 28 (2019), no. 3, 271–283. For a version with high quality images click here, 17MB file .
• Anomalous partially hyperbolic diffeomorphisms III: abundance and incoherence (joint with Christian Bonatti, Andy Hammerlindl and Rafael Potrie) Geometry & Topology, 24-4 (2020), 1751-1790.
• A note on self orbit equivalences of Anosov flows and bundles with fiberwise Anosov flows (joint with Thomas Barthelmé) Mathematical Research Letters, 26 (2019), no. 3, 711-728.
• Surgery for partially hyperbolic dynamical systems I. Blow-ups of invariant submanifolds Geometry & Topology, 22 (2018), no. 4, 2219–2252.

Teaching

• deTeXify
• mathoverflow
• online physics lab
• Additional Publications of Jeremy L. Martin
• The grammar according to West