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- Gokce Gurun, Michael Hochman, P. Hasler, F. Levent Degertekin
- IEEE Transactions on Ultrasonics, Ferroelectrics…
- 2012

When capacitive micromachined ultrasonic transducers (CMUTs) are monolithically integrated with custom-designed low-noise electronics, the output noise of the system can be dominated by the CMUT… (More)

We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of self-similarity under the operation of re-scaling, the dimension of linear images of the measure… (More)

- Michael Hochman
- 2006

We study genericity of dynamical properties in the space of homeomorphisms of the Cantor set and in the space of subshifts of a suitably large shift space. These rather different settings are related… (More)

- Michael Hochman
- 2010

We study fractal measures on Euclidean space through the dynamics of “zooming in” on typical points. The resulting family of measures (the “scenery”), can be interpreted as an orbit in an appropriate… (More)

- Michael Hochman
- 2010

A Borel system consists of a measurable automorphism of a standard Borel space. We consider Borel embeddings and isomorphisms between such systems modulo null sets, i.e. sets which have measure zero… (More)

- Michael Hochman, americanMICHAEL HOCHMAN
- 2009

We show that any direction in the plane occurs as the unique nonexpansive direction of a Z2 action, answering a question of Boyle and Lind. In the case of rational directions, the subaction obtained… (More)

An empirical statistic for a class C of stationary processes is a function g which assigns to each process (Xn) ∈ C with distribution P and to each sample X1 . . . Xn of the process a real number gP… (More)

- Michael Hochman
- 2009

We show that in the category of effective Z-dynamical systems there is a universal system, i.e. one that factors onto every other effective system. In particular, for d ≥ 3 there exist d-dimensional… (More)

We investigate algebraic properties of the automorphism group of multidimensional shifts of nite type (SFTs). We show that positive entropy implies that the automorphism group contains every nite… (More)

- Michael Hochman
- 2010

We examine the relation between topological entropy, invertability, and prediction in topological dynamics. We show that topological determinism in the sense of Kamińsky Siemaszko and Szymański… (More)