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Author ID: chelkak.dmitry Recent zbMATH articles by "Chelkak, Dmitry"
Published as: Chelkak, Dmitry; Chelkak, Dmitri; Chelkak, D. S.; Chelkak, D.
Homepage: http://www.pdmi.ras.ru/~dchelkak/index_en.html
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Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 608 times in 324 Documents Cited by Year
Universality in the 2D Ising model and conformal invariance of fermionic observables. Zbl 1257.82020
Chelkak, Dmitry; Smirnov, Stanislav
154
2012
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
88
2014
Discrete complex analysis on isoradial graphs. Zbl 1227.31011
Chelkak, Dmitry; Smirnov, Stanislav
80
2011
Conformal invariance of spin correlations in the planar Ising model. Zbl 1318.82006
Chelkak, Dmitry; Hongler, Clément; Izyurov, Konstantin
78
2015
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
26
2016
Revisiting the combinatorics of the 2D Ising model. Zbl 1380.82017
Chelkak, Dmitry; Cimasoni, David; Kassel, Adrien
25
2017
Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval. Zbl 1178.34014
Chelkak, Dmitry; Korotyaev, Evgeny
24
2009
Holomorphic spinor observables in the critical Ising model. Zbl 1277.82010
Chelkak, Dmitry; Izyurov, Konstantin
19
2013
Inverse problem for harmonic oscillator perturbed by potential, characterization. Zbl 1085.81055
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni
18
2004
The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition. Zbl 1130.81036
Chelkak, Dmitry; Korotyaev, Evgeny
15
2007
The inverse Sturm-Liouville problem with mixed boundary conditions. Zbl 1225.34025
Korotyaev, E.; Chelkak, D.
12
2010
Spectral estimates for Schrödinger operators with periodic matrix potentials on the real line. Zbl 1155.47046
Chelkak, Dmitri; Korotyaev, Evgeny
11
2006
Robust discrete complex analysis: a toolbox. Zbl 1347.60050
Chelkak, Dmitry
11
2016
An inverse problem for an harmonic oscillator perturbed by potential: uniqueness. Zbl 1030.34085
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni
10
2003
Planar Ising model at criticality: state-of-the-art and perspectives. Zbl 1453.82006
Chelkak, Dmitry
9
2018
Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem. Zbl 1116.34009
Chelkak, Dmitry; Korotyaev, Evgeny
5
2006
2D Ising model: correlation functions at criticality via Riemann-type boundary value problems. Zbl 1402.82005
Chelkak, Dmitry
4
2018
Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4). Zbl 1467.82009
Basok, Mikhail; Chelkak, Dmitry
4
2021
On the convergence of massive loop-erased random walks to massive SLE(2) curves. Zbl 1469.60316
Chelkak, Dmitry; Wan, Yijun
3
2021
Dimer model and holomorphic functions on t-embeddings of planar graphs. Zbl 1522.82008
Chelkak, Dmitry; Laslier, Benoît; Russkikh, Marianna
3
2023
An application of the fixed point theorem to the inverse Sturm-Liouville problem. Zbl 1288.34012
Chelkak, D.
2
2010
Universality of spin correlations in the Ising model on isoradial graphs. Zbl 1517.82012
Chelkak, Dmitry; Izyurov, Konstantin; Mahfouf, Rémy
2
2023
Magnetization in the zig-zag layered Ising model and orthogonal polynomials. (Magnétisation du modèle d’Ising par couches en zig-zag et polynômes orthogonaux.) Zbl 07929007
Chelkak, Dmitry; Hongler, Clément; Mahfouf, Rémy
2
2024
Approximation in the space of spectral data of a perturbed harmonic oscillator. Zbl 1053.81029
Chelkak, D. S.
1
2003
Asymptotics of spectral data of a harmonic oscillator perturbed by a potential. Zbl 1162.34068
Chelkak, D. S.
1
2005
Inverse problem for harmonic oscillator perturbed by potential. Zbl 1073.34013
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni
1
2004
Magnetization in the zig-zag layered Ising model and orthogonal polynomials. (Magnétisation du modèle d’Ising par couches en zig-zag et polynômes orthogonaux.) Zbl 07929007
Chelkak, Dmitry; Hongler, Clément; Mahfouf, Rémy
2
2024
Dimer model and holomorphic functions on t-embeddings of planar graphs. Zbl 1522.82008
Chelkak, Dmitry; Laslier, Benoît; Russkikh, Marianna
3
2023
Universality of spin correlations in the Ising model on isoradial graphs. Zbl 1517.82012
Chelkak, Dmitry; Izyurov, Konstantin; Mahfouf, Rémy
2
2023
Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4). Zbl 1467.82009
Basok, Mikhail; Chelkak, Dmitry
4
2021
On the convergence of massive loop-erased random walks to massive SLE(2) curves. Zbl 1469.60316
Chelkak, Dmitry; Wan, Yijun
3
2021
Planar Ising model at criticality: state-of-the-art and perspectives. Zbl 1453.82006
Chelkak, Dmitry
9
2018
2D Ising model: correlation functions at criticality via Riemann-type boundary value problems. Zbl 1402.82005
Chelkak, Dmitry
4
2018
Revisiting the combinatorics of the 2D Ising model. Zbl 1380.82017
Chelkak, Dmitry; Cimasoni, David; Kassel, Adrien
25
2017
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
26
2016
Robust discrete complex analysis: a toolbox. Zbl 1347.60050
Chelkak, Dmitry
11
2016
Conformal invariance of spin correlations in the planar Ising model. Zbl 1318.82006
Chelkak, Dmitry; Hongler, Clément; Izyurov, Konstantin
78
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
88
2014
Holomorphic spinor observables in the critical Ising model. Zbl 1277.82010
Chelkak, Dmitry; Izyurov, Konstantin
19
2013
Universality in the 2D Ising model and conformal invariance of fermionic observables. Zbl 1257.82020
Chelkak, Dmitry; Smirnov, Stanislav
154
2012
Discrete complex analysis on isoradial graphs. Zbl 1227.31011
Chelkak, Dmitry; Smirnov, Stanislav
80
2011
The inverse Sturm-Liouville problem with mixed boundary conditions. Zbl 1225.34025
Korotyaev, E.; Chelkak, D.
12
2010
An application of the fixed point theorem to the inverse Sturm-Liouville problem. Zbl 1288.34012
Chelkak, D.
2
2010
Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval. Zbl 1178.34014
Chelkak, Dmitry; Korotyaev, Evgeny
24
2009
The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition. Zbl 1130.81036
Chelkak, Dmitry; Korotyaev, Evgeny
15
2007
Spectral estimates for Schrödinger operators with periodic matrix potentials on the real line. Zbl 1155.47046
Chelkak, Dmitri; Korotyaev, Evgeny
11
2006
Parametrization of the isospectral set for the vector-valued Sturm-Liouville problem. Zbl 1116.34009
Chelkak, Dmitry; Korotyaev, Evgeny
5
2006
Asymptotics of spectral data of a harmonic oscillator perturbed by a potential. Zbl 1162.34068
Chelkak, D. S.
1
2005
Inverse problem for harmonic oscillator perturbed by potential, characterization. Zbl 1085.81055
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni
18
2004
Inverse problem for harmonic oscillator perturbed by potential. Zbl 1073.34013
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni
1
2004
An inverse problem for an harmonic oscillator perturbed by potential: uniqueness. Zbl 1030.34085
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni
10
2003
Approximation in the space of spectral data of a perturbed harmonic oscillator. Zbl 1053.81029
Chelkak, D. S.
1
2003
all top 5

Cited by 328 Authors

20 Duminil-Copin, Hugo
17 Chelkak, Dmitry
15 Korotyaev, Evgeny L.
12 Wu, Hao
9 Hongler, Clément
9 Ku, Min
9 Manolescu, Ioan
8 Bondarenko, Natalia P.
8 Camia, Federico
8 Giuliani, Alessandro
8 Izyurov, Konstantin
8 Miller, Jason P.
8 Peltola, Eveliina
8 Sheffield, Scott
8 Smirnov, Stanislav Konstantinovich
7 Bobenko, Alexander Ivanovich
7 de Tilière, Béatrice
7 Khanmamedov, Agil Khanmamed ogly
7 Kytölä, Kalle
7 Werner, Wendelin
6 Akhtyamov, Azamat Moukhtarovich
6 Duplantier, Bertrand
6 He, Fuli
6 Koshida, Shinji
5 Boutillier, Cédric
5 Glazman, Alexander
5 Kähler, Uwe
5 Lis, Marcin
5 Mastropietro, Vieri
5 Newman, Charles Michael
5 Sadovnichiĭ, Viktor Antonovich
5 Sultanaev, Yaudat Talgatovich
4 Badanin, A. V.
4 Beneš, Christian
4 Cimasoni, David
4 Garban, Christophe
4 Jiang, Jianping
4 Kemppainen, Antti
4 Nachmias, Asaf
4 Russkikh, Marianna
4 Sepúlveda, Avelio
4 Sun, Xin
4 Tassion, Vincent
4 Viklund, Fredrik Johansson
3 Abdesselam, Abdelmalek
3 Abreu-Blaya, Ricardo
3 Aizenman, Michael
3 Aru, Juhan
3 Beffara, Vincent
3 Bücking, Ulrike
3 Greenblatt, Rafael Leon
3 Günther, Felix
3 Hairer, Martin
3 Holden, Nina
3 Makhmudova, M. G.
3 Melotti, Paul
3 Peled, Ron
3 Ray, Gourab
3 Rhodes, Rémi
3 Slade, Gordon
3 Vargas, Vincent
3 Veliev, Oktay Alish
3 Warzel, Simone
3 Wilson, David Bruce
2 Antinucci, Giovanni
2 Bauerschmidt, Roland
2 Benoist, Stéphane
2 Bernstein, Swanhild
2 Binder, Ilia A.
2 Bory Reyes, Juan
2 Cerejeiras, Paula
2 Dubédat, Julien
2 Finski, Siarhei
2 Galashin, Pavel
2 Gharakhloo, Roozbeh
2 Golinelli, Olivier
2 Grimmett, Geoffrey R.
2 Guitter, Emmanuel
2 Gurel-Gurevich, Ori
2 Huang, Qian
2 Huseynov, Hidayat Mahammad
2 Ikhlef, Yacine
2 Its, Alexander Rudolfovich
2 Karrila, Alex
2 Karrila, Alex M.
2 Katori, Makoto
2 Kenyon, Richard W.
2 Laslier, Benoît
2 Lawler, Gregory Francis
2 Li, Jhih-Huang
2 Lupu, Titus
2 Mahfouf, Rémy
2 Mamedova, Afag F.
2 Puyda, D. V.
2 Ramassamy, Sanjay
2 Raschel, Kilian
2 Ren, Guangbin
2 Rychkov, Slava
2 Skopenkov, Mikhail B.
2 Sommen, Franciscus
...and 228 more Authors
all top 5

Cited in 96 Serials

44 Communications in Mathematical Physics
18 Journal of Statistical Physics
15 The Annals of Probability
15 Probability Theory and Related Fields
10 Electronic Journal of Probability
7 Journal of Mathematical Physics
7 Analysis and Mathematical Physics
6 Nuclear Physics. B
6 Journal of the European Mathematical Society (JEMS)
6 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
5 Communications on Pure and Applied Mathematics
5 Advances in Mathematics
5 Functional Analysis and its Applications
5 Mathematical Physics, Analysis and Geometry
5 Annals of Mathematics. Second Series
5 Journal of Statistical Mechanics: Theory and Experiment
4 Advances in Applied Clifford Algebras
4 Annales Henri Poincaré
4 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan
4 Boundary Value Problems
4 Journal of Physics A: Mathematical and Theoretical
3 Journal of Mathematical Analysis and Applications
3 Theoretical and Mathematical Physics
3 Journal of Functional Analysis
3 Mathematische Nachrichten
3 Transactions of the American Mathematical Society
3 Journal of Theoretical Probability
3 The Annals of Applied Probability
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 St. Petersburg Mathematical Journal
3 Journal of Inverse and Ill-Posed Problems
3 Doklady Mathematics
3 Oberwolfach Reports
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Complex Variables and Elliptic Equations
3 Probability Surveys
2 Letters in Mathematical Physics
2 Mathematical Notes
2 Ukrainian Mathematical Journal
2 Inventiones Mathematicae
2 Journal of Differential Equations
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of the American Mathematical Society
2 The Journal of Geometric Analysis
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Mathematical Sciences (New York)
2 Bernoulli
2 Abstract and Applied Analysis
2 Differential Equations
2 Complex Analysis and Operator Theory
2 Japanese Journal of Mathematics. 3rd Series
2 Forum of Mathematics, Pi
2 Forum of Mathematics, Sigma
1 International Journal of Modern Physics A
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Journal d’Analyse Mathématique
1 Mathematical Methods in the Applied Sciences
1 Physics Reports
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Collectanea Mathematica
1 Duke Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Graph Theory
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Proceedings of the American Mathematical Society
1 Results in Mathematics
1 L’Enseignement Mathématique. 2e Série
1 Stochastic Processes and their Applications
1 Potential Analysis
1 Russian Journal of Mathematical Physics
1 Turkish Journal of Mathematics
1 The Electronic Journal of Combinatorics
1 Journal of Difference Equations and Applications
1 Electronic Communications in Probability
1 Journal of Mathematical Chemistry
1 Journal of High Energy Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 Central European Journal of Mathematics
1 Inverse Problems in Science and Engineering
1 Proceedings of the Steklov Institute of Mathematics
1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Actes des Rencontres du C.I.R.M.
1 Combinatorial Theory
1 Baku Mathematical Journal
all top 5

Cited in 41 Fields

158 Statistical mechanics, structure of matter (82-XX)
132 Probability theory and stochastic processes (60-XX)
64 Ordinary differential equations (34-XX)
61 Quantum theory (81-XX)
43 Functions of a complex variable (30-XX)
39 Combinatorics (05-XX)
28 Operator theory (47-XX)
16 Potential theory (31-XX)
15 Partial differential equations (35-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Difference and functional equations (39-XX)
9 Nonassociative rings and algebras (17-XX)
9 Convex and discrete geometry (52-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Measure and integration (28-XX)
5 Special functions (33-XX)
5 Functional analysis (46-XX)
4 Algebraic geometry (14-XX)
4 Associative rings and algebras (16-XX)
4 Statistics (62-XX)
4 Numerical analysis (65-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Integral equations (45-XX)
3 Differential geometry (53-XX)
3 Manifolds and cell complexes (57-XX)
3 Relativity and gravitational theory (83-XX)
2 Number theory (11-XX)
2 Commutative algebra (13-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Mechanics of particles and systems (70-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Geometry (51-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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