Recent Trends in Ergodic Theory and Dynamical Systems

Siddhartha Bhattacharya, Tata Institute of Fundamental Research, Mumbai, India.Tarun Das, University of New Delhi, India.Anish Ghosh, Tata Institute of Fundamental Research, Mumbai, India.Riddhi Shah, Jawaharlal Nehru University, New Delhi, India.

• S. G. Dani as I have known him by M. S. RaghunathanCubic averages and large intersections by V. Bergelson and A. LeibmanLiouville property on $G$-spaces by C. R. E. RajaA new connection between metric theory of Diophantine approximations and distribution of algebraic numbers by V. Bernik and F. GotzeThe gap distribution of slopes on the golden L by J. S. Athreya, J. Chaika, and S. LelievreUniformly recurrent subgroups by E. Glasner and B. WeissValues of binary quadratic forms at integer points and Schmidt games by D. Kleinbock and B. WeissConformal families of measures for general iterated function systems by M. Denker and M. YuriDani's work on probability measures on groups by F. Ledrappier and R. ShahOn the homogeneity at infinity of the stationary probability for an affine random walk by Y. Guivarc'h and E. Le PageDani's work on dynamical systems on homogeneous spaces by D. W. MorrisCalculus of generalized Riesz products by e. H. el Abdalaoui and M. G. NadkarniDiophantine approximation exponents on homogeneous varieties by A. Ghosh, A. Gorodnik, and A. NevoErgodicity of principal algebraic group actions by H. Li, J. Peterson, and K. SchmidtA note on three problems in metric Diophantine approximation by V. Beresnevich and S. VelaniDynamical invariants for group automorphisms by R. Miles, M. Staines, and T. Ward