Michael Hochman

Mathematical Physics · 2006–2017

A researcher in the Science corpus: 8 papers; trusts 19 researchers and is trusted by 20 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 35 citations into it; #414 of 8,562 by trust here, #1,261 by citations
• Geometry and Topology — 19 citations into it; #915 of 7,422 by trust here, #2,689 by citations
• Computational Theory and Mathematics — 8 citations into it; #700 of 12,182 by trust here, #2,689 by citations
• Statistical and Nonlinear Physics — 8 citations into it; #2,146 of 10,127 by trust here, #8,564 by citations
• Applied Mathematics — 6 citations into it
• Discrete Mathematics and Combinatorics — 6 citations into it

Whom Michael Hochman trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Yuval Peres
2. Jean Bourgain
3. Nets Hawk Katz
4. Pablo Shmerkin
5. Eli Glasner
6. John E. Hopcroft
7. Terence Tao
8. Wilhelm Schlag
9. Barak Weiss
10. Jeffrey D. Ullman

Who trusts Michael Hochman overall

1. Pablo Shmerkin
2. P. P. Varj'u
3. Meng Wu
4. Tamás Keleti
5. Kenneth J. Falconer
6. Ronnie Pavlov
7. Jonathan M. Fraser
8. Boris Solomyak
9. A. Kaenmaki
10. Alexander I. Bufetov

Papers from Michael Hochman's perspective

Ordered by how strongly the researchers Michael Hochman trusts endorse each paper. Same corpus, a different order for every researcher.

1. The discretized sum-product and projection theorems
2. Sixty Years of Bernoulli Convolutions
3. Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type
4. The topological Rohlin property and topological entropy
5. Dynamics of Topologically Generic Homeomorphisms
6. Ledrappier-Young formula and exact dimensionality of self-affine measures
7. On natural invariant measures on generalised iterated function systems
8. Local entropy averages and projections of fractal measures
9. Ergodic fractal measures and dimension conservation (Ergodic Theory and Dynamical Systems)
10. Absolute continuity of Bernoulli convolutions for algebraic parameters (Journal of The American Mathematical Society)

Their papers

• On self-similar sets with overlaps and inverse theorems for entropy (2012) — 338 citations
• Local entropy averages and projections of fractal measures (2009) — 189 citations
• On the dynamics and recursive properties of multidimensional symbolic systems (2009) — 162 citations
• Genericity in topological dynamics (2006) — 47 citations
• A Characterization of the Entropies of Multidimensional Shifts of Finite Type (2007) — 203 citations
• Equidistribution from fractal measures (2013) — 78 citations
• Hausdorff dimension of planar self-affine sets and measures (2017) — 126 citations
• Dynamics on fractals and fractal distributions (2010) — 58 citations