J. Almarza

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math.DS2014

Normality in non-integer bases and polynomial time randomness

Javier Almarza, Santiago Figueira

It is known that if $x \in [0, 1]$ is polynomial time random (i.e. no polynomial time computable martingale succeeds on the binary fractional expansion of $x$ ) then $x$ is normal in a…

math.DS2014

CP-chains and dimension preservation for projections of $(\times m, \times n)$ -invariant Gibbs measures

Javier Ignacio Almarza

Dimension conservation for almost every projection has been well-established by the work of Marstrand, Mattila and Hunt and Kaloshin. More recently, Hochman and Shmerkin used CP-ch…

Normality in non-integer bases and polynomial time randomness

CP-chains and dimension preservation for projections of (×m,×n)-invariant Gibbs measures

CP-chains and dimension preservation for projections of $(\times m, \times n)$ -invariant Gibbs measures