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Smirnov, Stanislav Konstantinovich

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Author ID: smirnov.stanislav-k Recent zbMATH articles by "Smirnov, Stanislav Konstantinovich"
Published as: Smirnov, Stanislav; Smirnov, S.; Smirnov, S. K.; Smirnov, Stanislav K.; Smirnov, Stas
Further Spellings: Смирнов Станислав Константинович
Homepage: http://www.unige.ch/~smirnov/
External Links: MGP · Wikidata · Google Scholar · Math-Net.Ru · GND
Awards: Clay Research Award (2001) · EMS Prize (2004) · Fields Medal (2010)
Documents Indexed: 44 Publications since 1993
2 Contributions as Editor
Biographic References: 3 Publications
Co-Authors: 39 Co-Authors with 35 Joint Publications
1,601 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 1,279 times in 641 Documents Cited by Year
Critical percolation in the plane: Conformal invariance, Cardy’s formula, scaling limits. Zbl 0985.60090
Smirnov, Stanislav
212
2001
Universality in the 2D Ising model and conformal invariance of fermionic observables. Zbl 1257.82020
Chelkak, Dmitry; Smirnov, Stanislav
115
2012
Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model. Zbl 1200.82011
Smirnov, Stanislav
115
2010
Critical exponents for two-dimensional percolation. Zbl 1009.60087
Smirnov, Stanislav; Werner, Wendelin
97
2001
Towards conformal invariance of 2D lattice models. Zbl 1112.82014
Smirnov, Stanislav
90
2006
Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav
65
2014
Discrete complex analysis on isoradial graphs. Zbl 1227.31011
Chelkak, Dmitry; Smirnov, Stanislav
59
2011
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
51
2012
Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps. Zbl 1038.37035
Przytycki, Feliks; Rivera-Letelier, Juan; Smirnov, Stanislav
34
2003
The energy density in the planar Ising model. Zbl 1287.82007
Hongler, Clément; Smirnov, Stanislav
33
2013
Random curves, scaling limits and Loewner evolutions. Zbl 1393.60016
Kemppainen, Antti; Smirnov, Stanislav
31
2017
Decomposition of solenoidal vector charges into elementary solenoids and the structure of normal one-dimensional currents. Zbl 0832.49024
Smirnov, S. K.
28
1993
Discrete complex analysis and probability. Zbl 1251.30049
Smirnov, Stanislav
26
2011
Removability theorems for Sobolev functions and quasiconformal maps. Zbl 1034.30014
Jones, Peter W.; Smirnov, Stanislav K.
26
2000
Non-uniform hyperbolicity in complex dynamics. Zbl 1163.37008
Graczyk, Jacek; Smirnov, Stanislav
24
2009
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
24
2012
On the scaling limits of planar percolation. Zbl 1231.60116
Schramm, Oded; Smirnov, Stanislav; Garban, Christophe
22
2011
Equality of pressures for rational functions. Zbl 1058.37032
Przytycki, Feliks; Rivera-Letelier, Juan; Smirnov, Stanislav
22
2004
On thermodynamics of rational maps. II: Non-recurrent maps. Zbl 1050.37014
Makarov, N.; Smirnov, S.
20
2003
Collet, Eckmann and Hölder. Zbl 0916.30023
Graczyk, Jacek; Smirnov, Stas
19
1998
On ”thermodynamics” of rational maps. I: Negative spectrum. Zbl 0983.37033
Makarov, N.; Smirnov, S.
16
2000
Dimension of quasicircles. Zbl 1211.30037
Smirnov, Stanislav
16
2010
Off-critical lattice models and massive SLEs. Zbl 1205.82055
Makarov, Nikolai; Smirnov, Stanislav
16
2010
Harmonic measure and SLE. Zbl 1179.60054
Beliaev, D.; Smirnov, S.
15
2009
Harmonic measure on fractal sets. Zbl 1079.30026
Beliaev, D.; Smirnov, S.
12
2005
Harmonic measure and polynomial Julia sets. Zbl 1036.30017
Binder, I.; Makarov, N.; Smirnov, S.
9
2003
Symbolic dynamics and Collet-Eckmann conditions. Zbl 0983.37052
Smirnov, Stanislav
9
2000
Conformal invariance of boundary touching loops of FK Ising model. Zbl 1422.60140
Kemppainen, Antti; Smirnov, Stanislav
8
2019
Configurations of FK Ising interfaces and hypergeometric SLE. Zbl 1418.82002
Kemppainen, Antti; Smirnov, Stanislav
8
2018
Critical percolation and conformal invariance. Zbl 1221.82055
Smirnov, Stanislav
7
2005
On dimension of porous measures. Zbl 1037.28003
Beliaev, D. B.; Smirnov, S. K.
7
2002
On the critical parameters of the \(q \geqslant 4\) random-cluster model on isoradial graphs. (On the critical parameters of the \(q \leqslant 4\) random-cluster model on isoradial graphs.) Zbl 1342.82018
Beffara, V.; Duminil-Copin, H.; Smirnov, S.
7
2015
Quasisymmetric distortion spectrum. Zbl 1235.30017
Prause, István; Smirnov, Stanislav
6
2011
Random conformal snowflakes. Zbl 1204.30015
Beliaev, Dmitri; Smirnov, Stanislav
5
2010
On supports of dynamical laminations and biaccessible points in polynomial Julia sets. Zbl 1116.37309
Smirnov, Stanislav K.
5
2001
Packing dimension of mean porous measures. Zbl 1184.28007
Beliaev, D.; Järvenpää, E.; Järvenpää, M.; Käenmäki, A.; Rajala, T.; Smirnov, S.; Suomala, V.
4
2009
Critical percolation: The expected number of clusters in a rectangle. Zbl 1237.60077
Hongler, Clément; Smirnov, Stanislav
4
2011
Phase transition in subhyperbolic Julia sets. Zbl 0852.58067
Makarov, N.; Smirnov, S.
4
1996
On Littlewood’s constants. Zbl 1084.30017
Beliaev, D.; Smirnov, S.
3
2005
Approximation and extension problems for some classes of vector fields. Zbl 0928.26010
Khavin, V. P.; Smirnov, S. K.
2
1998
On V. I Smirnov domains. Zbl 0921.30004
Jones, Peter W.; Smirnov, Stanislav K.
2
1999
Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Zbl 1341.60001
1
2016
Conformal invariance of boundary touching loops of FK Ising model. Zbl 1422.60140
Kemppainen, Antti; Smirnov, Stanislav
8
2019
Configurations of FK Ising interfaces and hypergeometric SLE. Zbl 1418.82002
Kemppainen, Antti; Smirnov, Stanislav
8
2018
Random curves, scaling limits and Loewner evolutions. Zbl 1393.60016
Kemppainen, Antti; Smirnov, Stanislav
31
2017
Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Zbl 1341.60001
1
2016
On the critical parameters of the \(q \geqslant 4\) random-cluster model on isoradial graphs. (On the critical parameters of the \(q \leqslant 4\) random-cluster model on isoradial graphs.) Zbl 1342.82018
Beffara, V.; Duminil-Copin, H.; Smirnov, S.
7
2015
Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav
65
2014
The energy density in the planar Ising model. Zbl 1287.82007
Hongler, Clément; Smirnov, Stanislav
33
2013
Universality in the 2D Ising model and conformal invariance of fermionic observables. Zbl 1257.82020
Chelkak, Dmitry; Smirnov, Stanislav
115
2012
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
51
2012
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
24
2012
Discrete complex analysis on isoradial graphs. Zbl 1227.31011
Chelkak, Dmitry; Smirnov, Stanislav
59
2011
Discrete complex analysis and probability. Zbl 1251.30049
Smirnov, Stanislav
26
2011
On the scaling limits of planar percolation. Zbl 1231.60116
Schramm, Oded; Smirnov, Stanislav; Garban, Christophe
22
2011
Quasisymmetric distortion spectrum. Zbl 1235.30017
Prause, István; Smirnov, Stanislav
6
2011
Critical percolation: The expected number of clusters in a rectangle. Zbl 1237.60077
Hongler, Clément; Smirnov, Stanislav
4
2011
Conformal invariance in random cluster models. I: Holomorphic fermions in the Ising model. Zbl 1200.82011
Smirnov, Stanislav
115
2010
Dimension of quasicircles. Zbl 1211.30037
Smirnov, Stanislav
16
2010
Off-critical lattice models and massive SLEs. Zbl 1205.82055
Makarov, Nikolai; Smirnov, Stanislav
16
2010
Random conformal snowflakes. Zbl 1204.30015
Beliaev, Dmitri; Smirnov, Stanislav
5
2010
Non-uniform hyperbolicity in complex dynamics. Zbl 1163.37008
Graczyk, Jacek; Smirnov, Stanislav
24
2009
Harmonic measure and SLE. Zbl 1179.60054
Beliaev, D.; Smirnov, S.
15
2009
Packing dimension of mean porous measures. Zbl 1184.28007
Beliaev, D.; Järvenpää, E.; Järvenpää, M.; Käenmäki, A.; Rajala, T.; Smirnov, S.; Suomala, V.
4
2009
Towards conformal invariance of 2D lattice models. Zbl 1112.82014
Smirnov, Stanislav
90
2006
Harmonic measure on fractal sets. Zbl 1079.30026
Beliaev, D.; Smirnov, S.
12
2005
Critical percolation and conformal invariance. Zbl 1221.82055
Smirnov, Stanislav
7
2005
On Littlewood’s constants. Zbl 1084.30017
Beliaev, D.; Smirnov, S.
3
2005
Equality of pressures for rational functions. Zbl 1058.37032
Przytycki, Feliks; Rivera-Letelier, Juan; Smirnov, Stanislav
22
2004
Equivalence and topological invariance of conditions for non-uniform hyperbolicity in the iteration of rational maps. Zbl 1038.37035
Przytycki, Feliks; Rivera-Letelier, Juan; Smirnov, Stanislav
34
2003
On thermodynamics of rational maps. II: Non-recurrent maps. Zbl 1050.37014
Makarov, N.; Smirnov, S.
20
2003
Harmonic measure and polynomial Julia sets. Zbl 1036.30017
Binder, I.; Makarov, N.; Smirnov, S.
9
2003
On dimension of porous measures. Zbl 1037.28003
Beliaev, D. B.; Smirnov, S. K.
7
2002
Critical percolation in the plane: Conformal invariance, Cardy’s formula, scaling limits. Zbl 0985.60090
Smirnov, Stanislav
212
2001
Critical exponents for two-dimensional percolation. Zbl 1009.60087
Smirnov, Stanislav; Werner, Wendelin
97
2001
On supports of dynamical laminations and biaccessible points in polynomial Julia sets. Zbl 1116.37309
Smirnov, Stanislav K.
5
2001
Removability theorems for Sobolev functions and quasiconformal maps. Zbl 1034.30014
Jones, Peter W.; Smirnov, Stanislav K.
26
2000
On ”thermodynamics” of rational maps. I: Negative spectrum. Zbl 0983.37033
Makarov, N.; Smirnov, S.
16
2000
Symbolic dynamics and Collet-Eckmann conditions. Zbl 0983.37052
Smirnov, Stanislav
9
2000
On V. I Smirnov domains. Zbl 0921.30004
Jones, Peter W.; Smirnov, Stanislav K.
2
1999
Collet, Eckmann and Hölder. Zbl 0916.30023
Graczyk, Jacek; Smirnov, Stas
19
1998
Approximation and extension problems for some classes of vector fields. Zbl 0928.26010
Khavin, V. P.; Smirnov, S. K.
2
1998
Phase transition in subhyperbolic Julia sets. Zbl 0852.58067
Makarov, N.; Smirnov, S.
4
1996
Decomposition of solenoidal vector charges into elementary solenoids and the structure of normal one-dimensional currents. Zbl 0832.49024
Smirnov, S. K.
28
1993
all top 5

Cited by 626 Authors

25 Duminil-Copin, Hugo
22 Miller, Jason P.
21 Sheffield, Scott
16 Smirnov, Stanislav Konstantinovich
16 Werner, Wendelin
14 Camia, Federico
14 Grimmett, Geoffrey R.
13 Garban, Christophe
13 Rivera-Letelier, Juan
13 Schramm, Oded
12 Lawler, Gregory Francis
11 Manolescu, Ioan
10 Dubédat, Julien
10 Przytycki, Feliks
10 Viklund, Fredrik Johansson
9 Chelkak, Dmitry
9 Hongler, Clément
8 Beffara, Vincent
8 Izyurov, Konstantin
8 Kytölä, Kalle
8 Nolin, Pierre
8 Tassion, Vincent
8 Wilson, David Bruce
7 Bobenko, Alexander Ivanovich
7 Duplantier, Bertrand
7 Gwynne, Ewain
7 Holden, Nina
7 Kozma, Gady
7 Ku, Min
7 Pete, Gábor
7 Urbański, Mariusz
6 Binder, Ilia A.
6 Hammond, Alan
6 Kennedy, Tom
6 Leplaideur, Renaud
6 Li, Zhongyang
6 Lis, Marcin
6 Newman, Charles Michael
6 Peltola, Eveliina
6 Zhan, Dapeng
5 Beliaev, Dmitri B.
5 Chayes, Lincoln
5 Giuliani, Alessandro
5 Glazman, Alexander
5 Graczyk, Jacek
5 Iommi, Godofredo
5 Kähler, Uwe
5 Kleban, Peter
5 Li, Huaibin
5 Rohde, Steffen
5 Sun, Xin
5 Świątek, Grzegorz
5 Todd, Mike
5 van den Berg, Rob
4 Ahlberg, Daniel
4 Astala, Kari
4 Boutillier, Cédric
4 Bruin, Henk
4 Cardy, John L.
4 de Tilière, Béatrice
4 Flores, Steven M.
4 Gol’dshtein, Vladimir Mikhailovich
4 Guttmann, Anthony John
4 He, Fuli
4 Järvenpää, Esa
4 Kemppainen, Antti
4 Koshida, Shinji
4 Lei, Helen K.
4 Marchese, Andrea
4 Meester, Ronald W. J.
4 Nachmias, Asaf
4 Ntalampekos, Dimitrios
4 Pearce, Paul A.
4 Sidoravicius, Vladas
4 Ukhlov, Alexander Dadar-Oolovich
4 Wirth, Benedikt
3 Angel, Omer
3 Aru, Juhan
3 Beneš, Christian
3 Benjamini, Itai
3 Bücking, Ulrike
3 Cerf, Raphaël
3 Coronel, Daniel
3 Gelfert, Katrin Grit
3 Günther, Felix
3 Hedenmalm, Håkan
3 Járai, Antal A.
3 Järvenpää, Maarit
3 Jiang, Jianping
3 Jones, Peter Wilcox
3 Käenmäki, Antti
3 Karrila, Alex
3 Kiss, Demeter
3 Kupiainen, Antti
3 Levin, Genadi M.
3 Mastropietro, Vieri
3 Powell, Ellen
3 Prause, István
3 Qian, Wei
3 Rams, Michał
...and 526 more Authors
all top 5

Cited in 140 Serials

67 Communications in Mathematical Physics
56 The Annals of Probability
43 Probability Theory and Related Fields
41 Journal of Statistical Physics
15 Inventiones Mathematicae
14 Advances in Mathematics
13 Transactions of the American Mathematical Society
13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
13 Journal of Statistical Mechanics: Theory and Experiment
12 Electronic Journal of Probability
11 Nuclear Physics. B
11 Stochastic Processes and their Applications
10 Journal of the American Mathematical Society
9 Proceedings of the American Mathematical Society
9 Ergodic Theory and Dynamical Systems
8 Journal of Mathematical Physics
8 Duke Mathematical Journal
8 Annals of Mathematics. Second Series
7 Acta Mathematica
6 Communications on Pure and Applied Mathematics
6 Journal of Functional Analysis
6 Mathematische Zeitschrift
6 Journal of the European Mathematical Society (JEMS)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Physics A: Mathematical and Theoretical
6 Probability Surveys
5 Discrete Mathematics
5 Journal of Mathematical Analysis and Applications
5 Mathematische Annalen
5 Discrete and Continuous Dynamical Systems
5 Annales Henri Poincaré
5 Computational Methods and Function Theory
4 Israel Journal of Mathematics
4 Journal d’Analyse Mathématique
4 Letters in Mathematical Physics
4 Arkiv för Matematik
4 Journal of Combinatorial Theory. Series A
4 Journal of Theoretical Probability
4 Calculus of Variations and Partial Differential Equations
4 ALEA. Latin American Journal of Probability and Mathematical Statistics
4 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
3 Indian Journal of Pure & Applied Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Illinois Journal of Mathematics
3 Mathematische Nachrichten
3 Monatshefte für Mathematik
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Potential Analysis
3 Advances in Applied Clifford Algebras
3 The Electronic Journal of Combinatorics
3 Journal of High Energy Physics
3 Oberwolfach Reports
3 Complex Variables and Elliptic Equations
3 Complex Analysis and Operator Theory
3 Science China. Mathematics
3 Analysis and Mathematical Physics
2 Archive for Rational Mechanics and Analysis
2 Reviews in Mathematical Physics
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Publications Mathématiques
2 Results in Mathematics
2 Combinatorica
2 The Annals of Applied Probability
2 International Journal of Algebra and Computation
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Algebraic Combinatorics
2 St. Petersburg Mathematical Journal
2 Electronic Communications in Probability
2 Bernoulli
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Conformal Geometry and Dynamics
2 Japanese Journal of Mathematics. 3rd Series
2 Arnold Mathematical Journal
1 International Journal of Modern Physics B
1 Computers & Mathematics with Applications
1 Physics Letters. A
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Theory of Probability and its Applications
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Applied Mathematics and Optimization
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Statistica Neerlandica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Discrete & Computational Geometry
1 Journal of Cryptology
1 Sugaku Expositions
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Random Structures & Algorithms
1 The Journal of Geometric Analysis
1 Communications in Partial Differential Equations
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the Polish Academy of Sciences, Mathematics
...and 40 more Serials
all top 5

Cited in 49 Fields

324 Probability theory and stochastic processes (60-XX)
279 Statistical mechanics, structure of matter (82-XX)
123 Functions of a complex variable (30-XX)
104 Dynamical systems and ergodic theory (37-XX)
68 Quantum theory (81-XX)
57 Combinatorics (05-XX)
49 Measure and integration (28-XX)
34 Partial differential equations (35-XX)
25 Potential theory (31-XX)
16 Functional analysis (46-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
14 Convex and discrete geometry (52-XX)
10 Difference and functional equations (39-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 Nonassociative rings and algebras (17-XX)
9 Relativity and gravitational theory (83-XX)
8 Operator theory (47-XX)
8 Differential geometry (53-XX)
7 Group theory and generalizations (20-XX)
7 Real functions (26-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Ordinary differential equations (34-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Manifolds and cell complexes (57-XX)
6 Numerical analysis (65-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Special functions (33-XX)
5 General topology (54-XX)
5 Statistics (62-XX)
5 Computer science (68-XX)
5 Operations research, mathematical programming (90-XX)
4 General and overarching topics; collections (00-XX)
4 Algebraic geometry (14-XX)
4 Geometry (51-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Number theory (11-XX)
3 Approximations and expansions (41-XX)
3 Fluid mechanics (76-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Topological groups, Lie groups (22-XX)
2 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)

Citations by Year

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