An example of a nearly integrable Hamiltonian system with a trajectory dense in a set of maximal Hausdorff dimension
V. Kaloshin, M. Saprykina, Communications in Mathematical Physics 315 (2012) 643–697.
LibreCat: https://research-explorer.ista.ac.at/record/8502
DOI: 10.1007/s00220-012-1532-x

Generic diffeomorphisms with superexponential growth of number of periodic orbits
V. Kaloshin, Communications in Mathematical Physics 211 (2000) 253–271.
LibreCat: https://research-explorer.ista.ac.at/record/8525
DOI: 10.1007/s002200050811

How projections affect the dimension spectrum of fractal measures
B.R. Hunt, V. Kaloshin, Nonlinearity 10 (1997) 1031–1046.
LibreCat: https://research-explorer.ista.ac.at/record/8527
DOI: 10.1088/0951-7715/10/5/002