Stanislav Smirnov

Mathematical Physics · 2000–2013

A researcher in the Science corpus: 13 papers; trusts 14 researchers and is trusted by 50 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 33 citations into it; #79 of 8,562 by trust here, #180 by citations
• Condensed Matter Physics — 20 citations into it; #10 of 1,948 by trust here, #128 by citations
• Statistics and Probability — 15 citations into it; #481 of 12,932 by trust here, #817 by citations

Whom Stanislav Smirnov trusts overall

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

1. Gregory F. Lawler
2. Oded Schramm
3. Richard Kenyon
4. Wendelin Werner
5. Geoffrey Grimmett
6. Dmitry Chelkak
7. Michel Bauer
8. JA. Sanchez
9. Scott Sheffield
10. Vincent Beffara

Who trusts Stanislav Smirnov overall

1. Wendelin Werner
2. Dmitry Chelkak
3. Oded Schramm
4. Scott Sheffield
5. Federico Camia
6. Vincent Beffara
7. Gregory F. Lawler
8. Pierre Nolin
9. Dapeng Zhan
10. Charles M. Newman

Papers from Stanislav Smirnov's perspective

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

1. Basic properties of SLE
2. Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
3. Conformally Invariant Processes in the Plane
4. Random planar curves and Schramm-Loewner evolutions
5. A Percolation Formula
6. Harmonic explorer and its convergence to SLE4
7. On the scaling limit of planar self-avoiding walk
8. The dimension of the planar Brownian frontier is 4/3
9. Long-range properties of spanning trees
10. CRITICAL EXPONENTS FOR TWO-DIMENSIONAL PERCOLATION

Their papers

• Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits (2001) — 839 citations
• CRITICAL EXPONENTS FOR TWO-DIMENSIONAL PERCOLATION (2001) — 416 citations
• Towards conformal invariance of 2D lattice models (2007) — 285 citations
• Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model (2007) — 437 citations
• Universality in the 2D Ising model and conformal invariance of fermionic observables (2009) — 388 citations
• Discrete complex analysis on isoradial graphs (2008) — 189 citations
• Convergence of Ising interfaces to Schramm's SLE curves (2013) — 216 citations
• The connective constant of the honeycomb lattice equals $\sqrt{2+\sqrt2}$ (2010) — 158 citations
• Dimension of quasicircles (2009) — 59 citations
• Equality of pressures for rational functions (2004) — 50 citations
• On Thermodynamics of Rational Maps. II: Non‐Recurrent Maps (2003) — 59 citations
• Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps (2003) — 118 citations
• Removability theorems for Sobolev functions and quasiconformal maps (2000) — 91 citations