Shigeki Akiyama

Computational Theory and Mathematics · 2001–2015

A researcher in the Science corpus: 14 papers; trusts 11 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 31 citations into it; #1,443 of 12,182 by trust here, #2,851 by citations
• Mathematical Physics — 24 citations into it; #1,210 of 8,562 by trust here, #1,475 by citations
• Materials Chemistry — 13 citations into it
• Artificial Intelligence — 11 citations into it
• Geometry and Topology — 7 citations into it
• Discrete Mathematics and Combinatorics — 5 citations into it; #689 of 2,017 by trust here, #640 by citations

Whom Shigeki Akiyama trusts overall

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

1. Michael Baake
2. Arturas Dubickas
3. Klaus Scheicher
4. Robert V. Moody
5. Jörg M. Thuswaldner
6. Manfred Einsiedler
7. Yoshio Tanigawa
8. Marcy Barge
9. Pierre Arnoux
10. H. Ishikawa

Who trusts Shigeki Akiyama overall

1. Anne Siegel
2. Val'erie Berth'e
3. Wolfgang Steiner
4. Hiromi Ei
5. Jörg M. Thuswaldner
6. Jianqiang Zhao
7. Hui Rao
8. Yoshio Tanigawa
9. Douglas Bowman
10. Shunji Ito

Papers from Shigeki Akiyama's perspective

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

1. Model Sets: A Survey
2. A CERTAIN FINITENESS PROPERTY OF PISOT NUMBER SYSTEMS
3. Cubic Pisot units with finite beta expansions
4. What is Aperiodic Order
5. Atomic surfaces, tilings and coincidence I. irreducible case
6. Ergodic Theory: with a view towards Number Theory
7. Pure Point Dynamical and Diffraction Spectra
8. Geometric theory of unimodular Pisot substitutions
9. Generalized radix representations and dynamical systems. IV
10. A complete invariant for the topology of one-dimensional substitution tiling spaces (Ergodic Theory and Dynamical Systems)

Their papers

• On the boundary of self affine tilings generated by Pisot numbers (2002) — 110 citations
• A CERTAIN FINITENESS PROPERTY OF PISOT NUMBER SYSTEMS (2004) — 52 citations
• Cubic Pisot units with finite beta expansions (2004) — 111 citations
• Generalized radix representations and dynamical systems. IV (2008) — 68 citations
• On the Pisot Substitution Conjecture (2015) — 81 citations
• Generalized radix representations and dynamical systems III (2008) — 126 citations
• Powers of rationals modulo 1 and rational base number systems (2008) — 98 citations
• SYMMETRIC SHIFT RADIX SYSTEMS AND FINITE EXPANSIONS (2007) — 55 citations
• Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions (2007) — 47 citations
• The topological structure of fractal tilings generated by quadratic number systems (2005) — 53 citations
• A Survey on Topological Properties of Tiles Related to Number Systems (2004) — 77 citations
• On Analytic Continuation of Multiple L-Functions and Related Zeta-Functions (2002) — 58 citations
• Analytic continuation of multiple zeta-functions and their values at non-positive integers (2001) — 194 citations
• Multiple Zeta Values at Non-Positive Integers (2001) — 108 citations