Alexander Teplyaev

Applied Mathematics · 2000–2018

A researcher in the Science corpus: 8 papers; trusts 17 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 44 citations into it
• Mathematical Physics — 34 citations into it; #2,715 of 8,562 by trust here, #3,482 by citations
• Computational Theory and Mathematics — 23 citations into it; #4,342 of 12,182 by trust here, #7,851 by citations
• Geometry and Topology — 23 citations into it
• Condensed Matter Physics — 6 citations into it; #372 of 1,948 by trust here, #1,498 by citations
• Finance — 5 citations into it

Whom Alexander Teplyaev trusts overall

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

1. Jun Kigami
2. Robert S. Strichartz
3. M. Hino
4. Andreas Eberle
5. Vaughan F. R. Jones
6. Luigi Ambrosio
7. Martin T. Barlow
8. F. Cipriani

Who trusts Alexander Teplyaev overall

1. Michael Gibbons
2. Robert S. Strichartz
3. Jun Kigami
4. M. Hino
5. Arjun Raj
6. Rostislav I. Grigorchuk
7. Alexander Grigorʼyan

Papers from Alexander Teplyaev's perspective

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

1. Methods of Modern Mathematical Physics. I: Functional Analysis
2. Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate
3. Sobolev met Poincaré
4. Theory of operator algebras
5. Function spaces on fractals
6. Optimal Transport
7. Resistance forms, quasisymmetric maps and heat kernel estimates
8. Stability of parabolic Harnack inequalities
9. Functions of bounded variation on “good” metric spaces
10. Which values of the volume growth and escape time exponent are possible for a graph

Their papers

• Self‐Similar Energies on Post‐Critically Finite Self‐Similar Fractals (2006) — 48 citations
• Gradients on Fractals (2000) — 70 citations
• Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces (2012) — 55 citations
• Uniqueness of Brownian motion on Sierpinski carpets (2008) — 154 citations
• Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates (2018) — 47 citations
• Analysis on graphs and its applications (2008) — 240 citations
• The Spectrum of the Laplacian on the Pentagasket (2003) — 47 citations
• Self-Similarity, Operators and Dynamics (2003) — 84 citations