Boris Solomyak

Mathematical Physics · 2000–2014

A researcher in the Science corpus: 13 papers; trusts 13 researchers and is trusted by 18 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 28 citations into it; #1,479 of 8,562 by trust here, #1,050 by citations
• Geometry and Topology — 15 citations into it; #3,770 of 7,422 by trust here, #2,689 by citations
• Computational Theory and Mathematics — 13 citations into it; #9,028 of 12,182 by trust here, #8,756 by citations
• Applied Mathematics — 9 citations into it; #3,394 of 7,620 by trust here, #2,707 by citations

Whom Boris Solomyak trusts overall

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

1. Michael Hochman
2. Yuval Peres
3. Pablo Shmerkin
4. Konstantin Medynets
5. Wilhelm Schlag
6. Károly Simon
7. S. Bezuglyi
8. Eugene Seneta

Who trusts Boris Solomyak overall

1. Pablo Shmerkin
2. De-Jun Feng
3. Jonathan M. Fraser
4. P. P. Varj'u
5. Károly Simon
6. T. Jordan
7. Yuval Peres
8. Michael Hochman
9. Kenneth J. Falconer
10. Alexander I. Bufetov

Papers from Boris Solomyak's perspective

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

1. Sixty Years of Bernoulli Convolutions
2. Local entropy averages and projections of fractal measures
3. Littlewood-Paley Theory and the Study of Function Spaces
4. Continuous and Measurable Eigenfunctions of Linearly Recurrent Dynamical Cantor Systems
5. Aperiodic substitution systems and their Bratteli diagrams (Ergodic Theory and Dynamical Systems)
6. Cantor aperiodic systems and Bratteli diagrams
7. Non-negative Matrices and Markov Chains
8. PhD thesis
9. Invariant measures on stationary Bratteli diagrams (Ergodic Theory and Dynamical Systems)
10. Finite-rank Bratteli–Vershik diagrams are expansive (Ergodic Theory and Dynamical Systems)

Their papers

• Pure Point Dynamical and Diffraction Spectra (2002) — 190 citations
• Invariant measures on stationary Bratteli diagrams (2008) — 85 citations
• On the modulus of continuity for spectral measures in substitution dynamics (2013) — 59 citations
• Two-symbol Pisot substitutions have pure discrete spectrum (2003) — 72 citations
• Absolute continuity of self-similar measures, their projections and convolutions (2014) — 78 citations
• Finite rank Bratteli diagrams: Structure of invariant measures (2010) — 66 citations
• ON THE DIMENSION OF SELF-SIMILAR SETS (2002) — 59 citations
• Invariant measures for parabolic IFS with overlaps and random continued fractions (2001) — 73 citations
• Equivalence of positive Hausdorff measure and the open set condition for self-conformal sets (2001) — 92 citations
• Hausdorff dimension of limit sets for parabolic ifs with overlaps (2001) — 55 citations
• Sixty Years of Bernoulli Convolutions (2000) — 341 citations
• Existence of L^q dimensions and entropy dimension for self-conformal measures (2000) — 100 citations
• Self-similar sets of zero Hausdorff measure and positive packing measure (2000) — 51 citations