Michael Hochman | Academic Influence

Michael Hochman's AcademicInfluence.com Rankings

Michael Hochman

Mathematics

#8278

World Rank

#11248

Historical Rank

Group Theory

#452

World Rank

#524

Historical Rank

Number Theory

#477

World Rank

#590

Historical Rank

Algebra

#798

World Rank

#1037

Historical Rank

mathematics Degrees

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Mathematics

Michael Hochman's Degrees

PhD Mathematics Tel Aviv University
Masters Mathematics Tel Aviv University
Bachelors Mathematics Tel Aviv University

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Why Is Michael Hochman Influential?

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According to Wikipedia, Michael Hochman is an Israeli mathematician, currently a professor at the Hebrew University of Jerusalem. He is known for his contributions to dynamical systems and ergodic theory. Hochman earned his PhD from the Hebrew University of Jerusalem under supervision of Benjamin Weiss in 2007. He published his scientific work in such journals as Annals of Mathematics, Inventiones Mathematicae and Journal of the European Mathematical Society.

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Michael Hochman's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

On self-similar sets with overlaps and inverse theorems for entropy in $\mathbb{R}^d$ (2012) (229)
A Characterization of the Entropies of Multidimensional Shifts of Finite Type (2007) (177)
Local entropy averages and projections of fractal measures (2009) (170)
On the dynamics and recursive properties of multidimensional symbolic systems (2009) (146)
On the Zero-Temperature Limit of Gibbs States (2009) (94)
Hausdorff dimension of planar self-affine sets and measures (2017) (70)
Equidistribution from fractal measures (2013) (54)
Dynamics on fractals and fractal distributions (2010) (47)
Genericity in topological dynamics (2006) (39)
Upcrossing inequalities for stationary sequences and applications. (2006) (32)
On the automorphism groups of multidimensional shifts of finite type (2009) (30)
A ratio ergodic theorem for multiparameter non-singular actions (2009) (28)
Geometric rigidity of $\times m$ invariant measures (2010) (26)
Isomorphism and Embedding of Borel Systems on Full Sets (2013) (25)
Geometric rigidity of × m invariant measures (2010) (24)
DIMENSION THEORY OF SELF-SIMILAR SETS AND MEASURES (2019) (21)
Some problems on the boundary of fractal geometry and additive combinatorics (2015) (21)
Non-expansive directions for ℤ2 actions (2009) (19)
Examples of nonpolygonal limit shapes in i.i.d. first-passage percolation and infinite coexistence in spatial growth models (2010) (19)
Hausdorff dimension of planar self-affine sets and measures (2019) (18)
On the dimension of Furstenberg measure for $${ SL}_{2}(\mathbb {R})$$SL2(R) random matrix products (2016) (17)
Slow entropy and differentiable models for infinite-measure preserving ℤk actions (2011) (16)
Every Borel automorphism without finite invariant measures admits a two-set generator (2015) (15)
Lectures on dynamics, fractal geometry, and metric number theory (2015) (14)
On the finite-dimensional marginals of shift-invariant measures (2010) (13)
On the ratio ergodic theorem for group actions (2012) (13)
Pedestrians’ Understanding of a Fully Autonomous Vehicle’s Intent to Stop: A Learning Effect Over Time (2020) (12)
On notions of determinism in topological dynamics (2009) (11)
Turing Degree Spectra of Minimal Subshifts (2014) (11)
Dynamics on fractal measures (2010) (9)
Self similar sets, entropy and additive combinatorics (2013) (9)
A note on universality in multidimensional symbolic dynamics (2009) (8)
Return times, recurrence densities and entropy for actions of some discrete amenable groups (2006) (7)
Self-embeddings of Bedford–McMullen carpets (2016) (7)
On processes which cannot be distinguished by finite observation (2006) (7)
Upcrossing inequalities for stationary sequences and applications to entropy and complexity (2006) (5)
Lectures on fractal geometry and dynamics (2012) (5)
A short proof of Host’s equidistribution theorem (2021) (5)
Averaging sequences and abelian rank in amenable groups (2006) (5)
A note on Turing degree spectra of minimal subshifts (2014) (4)
Rohlin properties for $Z^d$-actions on the Cantor set (2009) (2)
Erratum to: Isomorphism and Embedding of Borel Systems on Full Sets (2010) (1)
Inverses, Powers and Cartesian products of topologically deterministic maps (2010) (1)
On the dimension of Furstenberg measure for random matrix products (2017) (1)
Smooth symmetries of $\times a$-invariant sets. (2017) (1)
Erratum to “Geometric rigidity of $\times m$ invariant measures” (J. Eur. Math. Soc. 14, 1539–1563 (2012)) (2013) (1)
Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry (2018) (0)
Equidistribution from fractal measures (2015) (0)
Three lectures on information theory (2011) (0)
SMOOTH SYMMETRIES OF × a -INVARIANT SETS (2017) (0)
RECURRENCE DENSITIES FOR STATIONARY PROCESSES (2009) (0)
ON PROCESSES WHICH CANNOT BE DISTINGUISHED BY FINITARY OBSERVATION YONATAN GUTMAN AND MICHAEL HOCHMAN (2022) (0)
Pedestrians’ understanding of fully autonomous vehicles (FAV) intent to stop (2020) (0)
Erratum to: Isomorphism and Embedding of Borel Systems on Full Sets (2013) (0)
Arbeitsgemeinschaft mit aktuellem Thema : Additive combinatorics , entropy and fractal geometry (2017) (0)
Isomorphism and Embedding of Borel Systems on Full Sets (2013) (0)

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What Schools Are Affiliated With Michael Hochman?

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