Prof. Michał Rams

Fractal geometry, metric number theory, one-dimensional dynamics, smooth dynamics, thermodynamic formalism 

Major / recent publications

-- The Lyapunov spectrum of some parabolic systems, with K. Gelfert,Erg. Th. and Dyn. Sys. 29 (2009), 919-940.

-- Projections of Fractal Percolations, with K. Simon, Erg. Th. and

Dyn. Sys. 35 (2015), 530-545.

-- Multifractal analysis for expanding interval maps with infinitely

many branches, with A-H. Fan, T. Jordan, L. Liao, Trans. Amer. Math.

Soc. 367 (2015), 1847-1870.

-- Shrinking targets on Bedford-McMullen carpets, with B. Barany,

Proc. of the London Math. Soc. 117 (2018), 951-995.

-- Entropy spectrum of Lyapunov exponents for nonhyperbolic step-skew products and elliptic cocycles, with L. Diaz and K. Gelfert,

Communications in Math. Phys. 367 (2019), 351-416.

-- Mass Transference Principle: From Balls to Arbitrary Shapes, with H. Koivusalo, Int. Math. Res. Not. 8 (2021), 6315-6330.

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