Edit Profile Di Francesco, Philippe Compute Distance To: Compute Author ID: di-francesco.philippe Published as: Di Francesco, P.; Di Francesco, Ph.; Di Francesco, Philippe; di Francesco, P. Documents Indexed: 113 Publications since 1987, including 4 Books all top 5 Co-Authors 10 single-authored 30 Guitter, Emmanuel 14 Kedem, Rinat 11 Bouttier, Jérémie 7 Golinelli, Oliver 5 Itzykson, Claude 3 Akemann, Gernot 3 Baik, Jinho 3 Kristjansen, Charlotte F. 3 Zinn-Justin, Paul 2 Bauer, Michel 2 Behrend, Roger E. 2 Mathieu, Pierre 2 Sénéchal, David 2 Smirnov, Fedor A. 2 Zuber, Jean-Bernard 1 Baulieu, Laurent 1 Bowick, Mark J. 1 David, François 1 Debin, Bryan 1 Douglas, Michael R. 1 Eynard, Bertrand 1 Gaudin, Michel 1 Gekhtman, Mikhaèl I. 1 Jacobsen, Jesper Lykke 1 Jonsson, Tomas 1 Kazakov, Vladimir A. 1 Kuniba, Atsuo 1 Lapa, Matthew F. 1 Lesage, Frédéric J. 1 Picco, Marco 1 Reshetikhin, Nikolai Yu. 1 Soto-Garrido, Rodrigo 1 Turmunkh, Bolor 1 Windey, Paul 1 Yamazaki, Masahito all top 5 Serials 14 Nuclear Physics. B 8 The Electronic Journal of Combinatorics 7 Communications in Mathematical Physics 6 Journal of Physics A: Mathematical and Theoretical 4 Journal of Physics A: Mathematical and General 3 Letters in Mathematical Physics 3 IMRN. International Mathematics Research Notices 3 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Statistical Physics 2 Journal of Combinatorial Theory. Series A 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Physics Letters. B 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Mathematical and Computer Modelling 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Transformation Groups 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Graduate Texts in Contemporary Physics all top 5 Fields 40 Combinatorics (05-XX) 40 Statistical mechanics, structure of matter (82-XX) 23 Quantum theory (81-XX) 13 Commutative algebra (13-XX) 10 Nonassociative rings and algebras (17-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Probability theory and stochastic processes (60-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 101 Publications have been cited 1,525 times in 1,160 Documents Cited by ▼ Year ▼ Conformal field theory. Zbl 0869.53052Di Francesco, Philippe; Mathieu, Pierre; Sénéchal, David 466 1997 The Oxford handbook of random matrix theory. Zbl 1225.15004Akemann, Gernot (ed.); Baik, Jinho (ed.); Di Francesco, Philippe (ed.) 74 2011 Planar maps as labeled mobiles. Zbl 1060.05045Bouttier, J.; Di Francesco, P.; Guitter, E. 67 2004 Classical \(W\)-algebras. Zbl 0752.17026Di Francesco, P.; Itzykson, C.; Zuber, J.-B. 37 1991 Laughlin’s wave functions, Coulomb gases and expansions of the discriminant. Zbl 0988.81563Di Francesco, P.; Gaudin, M.; Itzykson, C.; Lesage, F. 34 1994 Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule. Zbl 1108.05013Di Francesco, P.; Zinn-Justin, P. 33 2005 Census of planar maps: From the one-matrix model solution to a combinatorial proof. Zbl 0999.05052Bouttier, J.; Di Francesco, P.; Guitter, E. 31 2002 Meanders and the Temperley-Lieb algebra. Zbl 0873.05008Di Francesco, P.; Golinelli, O.; Guitter, E. 28 1997 Geodesic distance in planar graphs. Zbl 1022.05022Bouttier, J.; Di Francesco, P.; Guitter, E. 27 2003 Covariant differential equations and singular vectors in Virasoro representations. Zbl 0957.17508Bauer, M.; Di Francesco, Ph.; Itzykson, C. 27 1991 \(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property. Zbl 1195.81077Di Francesco, Philippe; Kedem, Rinat 26 2009 The quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials. Zbl 1078.81037Di Francesco, P.; Zinn-Justin, P. 26 2005 Meander determinants. Zbl 0923.57002Di Francesco, P. 25 1998 \(Q\)-systems, heaps, paths and cluster positivity. Zbl 1194.05165Di Francesco, Philippe; Kedem, Rinat 23 2010 Quantum intersection rings. Appendix A. Zbl 0868.14029Di Francesco, P.; Itzykson, C. 23 1995 SU(N) lattice integrable models and modular invariance. Zbl 0748.17029Di Francesco, P.; Zuber, J.-B. 22 1990 Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models. Zbl 0960.82507di Francesco, P.; Saleur, H.; Zuber, J. B. 21 1987 Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices. Zbl 1192.81308Zinn-Justin, P.; Di Francesco, P. 20 2008 On the weighted enumeration of alternating sign matrices and descending plane partitions. Zbl 1232.05037Behrend, Roger E.; Di Francesco, Philippe; Zinn-Justin, Paul 19 2012 Proof of the combinatorial Kirillov-Reshetikhin conjecture. Zbl 1233.17010Di Francesco, Philippe; Kedem, Rinat 17 2008 2D quantum gravity, matrix models and graph combinatorics. Zbl 1142.83006di Francesco, P. 15 2006 Folding and coloring problems in mathematics and physics. Zbl 1025.82001Di Francesco, P. 14 2000 Meander, folding, and arch statistics. Zbl 1185.82026Di Francesco, P.; Golinelli, O.; Guitter, E. 14 1997 Non-commutative integrability, paths and quasi-determinants. Zbl 1252.37069Di Francesco, Philippe; Kedem, Rinat 13 2011 Ramond sector characters and \(N=2\) Landau-Ginzburg models. Zbl 1043.81686Di Francesco, P.; Yankielowicz, S. 13 1993 Polynomial averages in the Kontsevich model. Zbl 0831.14010Di Francesco, P.; Itzykson, C.; Zuber, J.-B. 13 1993 Arctic curves of the octahedron equation. Zbl 1296.05121Di Francesco, Philippe; Soto-Garrido, Rodrigo 12 2014 Discrete non-commutative integrability: proof of a conjecture by M. Kontsevich. Zbl 1276.16025Di Francesco, Philippe; Kedem, Rinat 12 2010 Inhomogeneous model of crossing loops and multidegrees of some algebraic varieties. Zbl 1113.82026Di Francesco, P.; Zinn-Justin, P. 12 2006 Rectangular matrix models and combinatorics of colored graphs. Zbl 1005.82003Di Francesco, P. 12 2003 Positivity of the \(T\)-system cluster algebra. Zbl 1229.13019Di Francesco, Philippe; Kedem, Rinat 11 2009 Inhomogeneous loop models with open boundaries. Zbl 1107.05008Di Francesco, P. 11 2005 A refined Razumov-Stroganov conjecture. Zbl 1071.82013Di Francesco, P. 11 2004 Integrable 2D Lorentzian gravity and random walks. Zbl 0958.83019Di Francesco, P.; Guitter, E.; Kristjansen, C. 11 2000 Integrable lattice models, graphs and modular invariant conformal field theories. Zbl 0797.17023Di Francesco, P. 11 1992 Counting colored random triangulations. Zbl 0998.05019Bouttier, J.; Di Francesco, P.; Guitter, E. 10 2002 Meanders: Exact asymptotics. Zbl 0984.82024Di Francesco, P.; Golinelli, O.; Guitter, E. 10 2000 T-systems with boundaries from network solutions. Zbl 1266.05176Di Francesco, Philippe; Kedem, Rinat 9 2013 A doubly-refined enumeration of alternating sign matrices and descending plane partitions. Zbl 1256.05031Behrend, Roger E.; Di Francesco, Philippe; Zinn-Justin, Paul 9 2013 Elliptic genera and the Landau-Ginzburg approach to \(N=2\) orbifolds. Zbl 1049.81622Di Francesco, P.; Aharony, O.; Yankielowicz, S. 9 1994 A generating function for fatgraphs. Zbl 0796.05045Di Francesco, P.; Itzykson, C. 9 1993 Arctic curves in path models from the tangent method. Zbl 1390.82012Di Francesco, Philippe; Lapa, Matthew F. 8 2018 Blocked edges on Eulerian maps and mobiles: application to spanning trees, hard particles and the Ising model. Zbl 1147.82003Bouttier, J.; Di Francesco, P.; Guitter, E. 8 2007 Combinatorics of hard particles on planar graphs. Zbl 1009.82005Bouttier, J.; Di Francesco, P.; Guitter, E. 8 2003 Matrix model combinatorics: applications to folding and coloring. Zbl 1129.81334Di Francesco, Philippe 8 2001 Coloring random triangulations. Zbl 0949.82006Di Francesco, P.; Eynard, B.; Guitter, E. 8 1998 Geodesic distance in planar graphs: an integrable approach. Zbl 1079.05040Di Francesco, P. 7 2005 Random trees between two walls: exact partition function. Zbl 1051.82010Bouttier, J.; Di Francesco, P.; Guitter, E. 7 2003 Statistics of planar graphs viewed from a vertex: A study via labeled trees. Zbl 1027.05021Bouttier, J.; Di Francesco, P.; Guitter, E. 7 2003 Critical and tricritical hard objects on bicolourable random lattices: exact solutions. Zbl 1053.82018Bouttier, J.; Di Francesco, P.; Guitter, E. 7 2002 Critical and multicritical semi-random \((1+d)\)-dimensional lattices and hard objects in \(d\) dimensions. Zbl 0993.82026Di Francesco, P.; Guitter, E. 7 2002 Singular vectors of the Virasoro algebra. Zbl 0957.17510Bauer, M.; Di Francesco, Ph.; Itzykson, C.; Zuber, J.-B. 7 1991 Asymptotic shapes with free boundaries. Zbl 1234.05051Di Francesco, Philippe; Reshetikhin, Nicolai 6 2012 \(Q\)-system cluster algebras, paths and total positivity. Zbl 1241.13020Di Francesco, Philippe; Kedem, Rinat 6 2010 Correlation functions of Harish-Chandra integrals over the orthogonal and the symplectic groups. Zbl 1139.43004Prats Ferrer, A.; Eynard, B.; Di Francesco, P.; Zuber, J.-B. 6 2007 A refined Razumov-Stroganov conjecture. II. Zbl 1073.82516Di Francesco, P. 6 2004 New integrable lattice models from Fuss-Catalan algebras. Zbl 0953.82018Di Francesco, P. 6 1998 The Arctic curve for Aztec rectangles with defects via the tangent method. Zbl 1428.05051Di Francesco, Philippe; Guitter, Emmanuel 5 2019 Arctic curves for paths with arbitrary starting points: a tangent method approach. Zbl 1400.82151Di Francesco, Philippe; Guitter, Emmanuel 5 2018 Discrete integrable systems, positivity, and continued fraction rearrangements. Zbl 1277.13019Di Francesco, Philippe 5 2011 The solution of the A\(_{r}\) T-system for arbitrary boundary. Zbl 1230.05153Di Francesco, Philippe 5 2010 Combinatorics of bicubic maps with hard particles. Zbl 1064.82020Bouttier, J.; Di Francesco, P.; Guitter, E. 5 2005 A bijection between classes of fully packed loops and plane partitions. Zbl 1054.05010Di Francesco, P.; Zinn-Justin, P.; Zuber, J.-B. 5 2004 Generalized Lorentzian triangulations and the Calogero Hamiltonian. Zbl 0969.81606Di Francesco, P.; Guitter, E.; Kristjansen, C. 5 2001 Meanders: A direct enumeration approach. Zbl 0925.82102Di Francesco, P.; Golinelli, O.; Guitter, E. 5 1996 Fusion potentials. I. Zbl 0778.17021Di Francesco, P.; Zuber, J.-B. 5 1993 \(\mathrm{t},\mathrm{q}\)-deformed Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators. Zbl 07076849Di Francesco, Philippe; Kedem, Rinat 4 2019 The Oxford handbook of random matrix theory. Reprint of the 2011 hardback edition. Zbl 1321.15005Akemann, Gernot (ed.); Baik, Jinho (ed.); Di Francesco, Philippe (ed.) 4 2015 Integrable combinatorics. Zbl 1302.81142Di Francesco, P. 4 2014 Boundary qKZ equation and generalized Razumov-Stroganov sum rules for open IRF models. Zbl 07077857Di Francesco, P. 4 2005 Exact meander asymptotics: a numerical check. Zbl 0984.82025Di Francesco, P.; Guitter, E.; Jacobsen, J. L. 4 2000 2-D quantum and topological gravities, matrix models, and integrable differential systems. Zbl 1107.81327Di Francesco, Philippe 4 1999 SU\((N)\) meander determinants. Zbl 0888.22004Di Francesco, P. 4 1997 Three-dimensional folding of the triangular lattice. Zbl 0925.82041Bowick, M.; Di Francesco, P.; Golinelli, O.; Guitter, E. 4 1995 Graph rings and integrable perturbations of \(N=2\) superconformal theories. Zbl 1043.81685Di Francesco, P.; Lesage, F.; Zuber, J.-B. 4 1993 Quantum Q systems: from cluster algebras to quantum current algebras. Zbl 1367.81087Di Francesco, Philippe; Kedem, Rinat 3 2017 Quantum cluster algebras and fusion products. Zbl 1370.17008Di Francesco, Philippe; Kedem, Rinat 3 2014 An inhomogeneous lambda-determinant. Zbl 1408.05023Di Francesco, Philippe 3 2013 The solution of the quantum \(A_1\) \(T\)-system for arbitrary boundary. Zbl 1274.82011Di Francesco, Philippe; Kedem, Rinat 3 2012 Superdiscrete series coupled to \(2\)D supergravity. Zbl 1020.81827Di Francesco, P.; Distler, J.; Kutasov, D. 3 1990 Difference equations for graded characters from quantum cluster algebra. Zbl 1437.13034Di Francesco, P.; Kedem, Rinat 2 2018 OPE for XXX. Zbl 1395.82041Di Francesco, Philippe; Smirnov, Fedor 2 2018 Bessenrodt-Stanley polynomials and the octahedron recurrence. Zbl 1323.05014Di Francesco, Philippe 2 2015 The non-commutative \(A_1T\)-system and its positive Laurent property. Zbl 1320.82008Di Francesco, Philippe 2 2015 \(T\)-systems, networks and dimers. Zbl 1297.05246Di Francesco, Philippe 2 2014 Introduction and guide to the handbook. Zbl 1236.15062Akemann, G.; Baik, J.; Di Francesco, P. 2 2011 Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics. Zbl 07120368Di Francesco, P.; Zinn-Justin, P. 2 2007 Determinant formulae for some tiling problems and application to fully packed loops. Zbl 1075.05007Di Francesco, Philippe; Zinn-Justin, Paul; Zuber, Jean-Bernard 2 2005 On fully packed loop configurations with four sets of nested arches. Zbl 1088.82005Di Francesco, P.; Zuber, J.-B. 2 2004 A path model for Whittaker vectors. Zbl 1370.81090Di Francesco, Philippe; Kedem, Rinat; Turmunkh, Bolor 1 2017 Quantum \(A_r\,Q\)-system solutions as q-multinomial series. Zbl 1229.05016Di Francesco, Philippe 1 2011 Mass distribution exponents for growing trees. Zbl 07120382David, F.; Di Francesco, P.; Guitter, E.; Jonsson, T. 1 2007 Totally symmetric self-complementary plane partitions and the quantum Knizhnik-Zamolodchikov equation: a conjecture. Zbl 07120289Di Francesco, P. 1 2006 Integrability of graph combinatorics via random walks and heaps of dimers. Zbl 07077974Di Francesco, P.; Guitter, E. 1 2005 An exact solution for Parisi equations with \(R\) steps on RSB, free energy and fluctuations. Zbl 1075.82531De Dominicis, C.; Di Francesco, P. 1 2003 Exact asymptotics of meander numbers. Zbl 0972.82046Di Francesco, P. 1 2000 Fully packed \(O\) \((n=1)\) model on random Eulerian triangulations. Zbl 0944.82011Di Francesco, P.; Guitter, E.; Kristjansen, C. 1 1999 Folding transitions of the square-diagonal lattice. Zbl 0955.82015Di Francesco, P. 1 1998 Folding the square-diagonal lattice. Zbl 1047.82517Di Francesco, P. 1 1998 Folding, meanders and arches. Zbl 0913.73003Di Francesco, P.; Golinelli, O.; Guitter, E. 1 1997 The Arctic curve for Aztec rectangles with defects via the tangent method. Zbl 1428.05051Di Francesco, Philippe; Guitter, Emmanuel 5 2019 \(\mathrm{t},\mathrm{q}\)-deformed Q-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators. Zbl 07076849Di Francesco, Philippe; Kedem, Rinat 4 2019 Arctic curves in path models from the tangent method. Zbl 1390.82012Di Francesco, Philippe; Lapa, Matthew F. 8 2018 Arctic curves for paths with arbitrary starting points: a tangent method approach. Zbl 1400.82151Di Francesco, Philippe; Guitter, Emmanuel 5 2018 Difference equations for graded characters from quantum cluster algebra. Zbl 1437.13034Di Francesco, P.; Kedem, Rinat 2 2018 OPE for XXX. Zbl 1395.82041Di Francesco, Philippe; Smirnov, Fedor 2 2018 Quantum Q systems: from cluster algebras to quantum current algebras. Zbl 1367.81087Di Francesco, Philippe; Kedem, Rinat 3 2017 A path model for Whittaker vectors. Zbl 1370.81090Di Francesco, Philippe; Kedem, Rinat; Turmunkh, Bolor 1 2017 The Oxford handbook of random matrix theory. Reprint of the 2011 hardback edition. Zbl 1321.15005Akemann, Gernot (ed.); Baik, Jinho (ed.); Di Francesco, Philippe (ed.) 4 2015 Bessenrodt-Stanley polynomials and the octahedron recurrence. Zbl 1323.05014Di Francesco, Philippe 2 2015 The non-commutative \(A_1T\)-system and its positive Laurent property. Zbl 1320.82008Di Francesco, Philippe 2 2015 Arctic curves of the octahedron equation. Zbl 1296.05121Di Francesco, Philippe; Soto-Garrido, Rodrigo 12 2014 Integrable combinatorics. Zbl 1302.81142Di Francesco, P. 4 2014 Quantum cluster algebras and fusion products. Zbl 1370.17008Di Francesco, Philippe; Kedem, Rinat 3 2014 \(T\)-systems, networks and dimers. Zbl 1297.05246Di Francesco, Philippe 2 2014 T-systems with boundaries from network solutions. Zbl 1266.05176Di Francesco, Philippe; Kedem, Rinat 9 2013 A doubly-refined enumeration of alternating sign matrices and descending plane partitions. Zbl 1256.05031Behrend, Roger E.; Di Francesco, Philippe; Zinn-Justin, Paul 9 2013 An inhomogeneous lambda-determinant. Zbl 1408.05023Di Francesco, Philippe 3 2013 On the weighted enumeration of alternating sign matrices and descending plane partitions. Zbl 1232.05037Behrend, Roger E.; Di Francesco, Philippe; Zinn-Justin, Paul 19 2012 Asymptotic shapes with free boundaries. Zbl 1234.05051Di Francesco, Philippe; Reshetikhin, Nicolai 6 2012 The solution of the quantum \(A_1\) \(T\)-system for arbitrary boundary. Zbl 1274.82011Di Francesco, Philippe; Kedem, Rinat 3 2012 The Oxford handbook of random matrix theory. Zbl 1225.15004Akemann, Gernot (ed.); Baik, Jinho (ed.); Di Francesco, Philippe (ed.) 74 2011 Non-commutative integrability, paths and quasi-determinants. Zbl 1252.37069Di Francesco, Philippe; Kedem, Rinat 13 2011 Discrete integrable systems, positivity, and continued fraction rearrangements. Zbl 1277.13019Di Francesco, Philippe 5 2011 Introduction and guide to the handbook. Zbl 1236.15062Akemann, G.; Baik, J.; Di Francesco, P. 2 2011 Quantum \(A_r\,Q\)-system solutions as q-multinomial series. Zbl 1229.05016Di Francesco, Philippe 1 2011 \(Q\)-systems, heaps, paths and cluster positivity. Zbl 1194.05165Di Francesco, Philippe; Kedem, Rinat 23 2010 Discrete non-commutative integrability: proof of a conjecture by M. Kontsevich. Zbl 1276.16025Di Francesco, Philippe; Kedem, Rinat 12 2010 \(Q\)-system cluster algebras, paths and total positivity. Zbl 1241.13020Di Francesco, Philippe; Kedem, Rinat 6 2010 The solution of the A\(_{r}\) T-system for arbitrary boundary. Zbl 1230.05153Di Francesco, Philippe 5 2010 \(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property. Zbl 1195.81077Di Francesco, Philippe; Kedem, Rinat 26 2009 Positivity of the \(T\)-system cluster algebra. Zbl 1229.13019Di Francesco, Philippe; Kedem, Rinat 11 2009 Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices. Zbl 1192.81308Zinn-Justin, P.; Di Francesco, P. 20 2008 Proof of the combinatorial Kirillov-Reshetikhin conjecture. Zbl 1233.17010Di Francesco, Philippe; Kedem, Rinat 17 2008 Blocked edges on Eulerian maps and mobiles: application to spanning trees, hard particles and the Ising model. Zbl 1147.82003Bouttier, J.; Di Francesco, P.; Guitter, E. 8 2007 Correlation functions of Harish-Chandra integrals over the orthogonal and the symplectic groups. Zbl 1139.43004Prats Ferrer, A.; Eynard, B.; Di Francesco, P.; Zuber, J.-B. 6 2007 Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics. Zbl 07120368Di Francesco, P.; Zinn-Justin, P. 2 2007 Mass distribution exponents for growing trees. Zbl 07120382David, F.; Di Francesco, P.; Guitter, E.; Jonsson, T. 1 2007 2D quantum gravity, matrix models and graph combinatorics. Zbl 1142.83006di Francesco, P. 15 2006 Inhomogeneous model of crossing loops and multidegrees of some algebraic varieties. Zbl 1113.82026Di Francesco, P.; Zinn-Justin, P. 12 2006 Totally symmetric self-complementary plane partitions and the quantum Knizhnik-Zamolodchikov equation: a conjecture. Zbl 07120289Di Francesco, P. 1 2006 Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule. Zbl 1108.05013Di Francesco, P.; Zinn-Justin, P. 33 2005 The quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials. Zbl 1078.81037Di Francesco, P.; Zinn-Justin, P. 26 2005 Inhomogeneous loop models with open boundaries. Zbl 1107.05008Di Francesco, P. 11 2005 Geodesic distance in planar graphs: an integrable approach. Zbl 1079.05040Di Francesco, P. 7 2005 Combinatorics of bicubic maps with hard particles. Zbl 1064.82020Bouttier, J.; Di Francesco, P.; Guitter, E. 5 2005 Boundary qKZ equation and generalized Razumov-Stroganov sum rules for open IRF models. Zbl 07077857Di Francesco, P. 4 2005 Determinant formulae for some tiling problems and application to fully packed loops. Zbl 1075.05007Di Francesco, Philippe; Zinn-Justin, Paul; Zuber, Jean-Bernard 2 2005 Integrability of graph combinatorics via random walks and heaps of dimers. Zbl 07077974Di Francesco, P.; Guitter, E. 1 2005 Planar maps as labeled mobiles. Zbl 1060.05045Bouttier, J.; Di Francesco, P.; Guitter, E. 67 2004 A refined Razumov-Stroganov conjecture. Zbl 1071.82013Di Francesco, P. 11 2004 A refined Razumov-Stroganov conjecture. II. Zbl 1073.82516Di Francesco, P. 6 2004 A bijection between classes of fully packed loops and plane partitions. Zbl 1054.05010Di Francesco, P.; Zinn-Justin, P.; Zuber, J.-B. 5 2004 On fully packed loop configurations with four sets of nested arches. Zbl 1088.82005Di Francesco, P.; Zuber, J.-B. 2 2004 Geodesic distance in planar graphs. Zbl 1022.05022Bouttier, J.; Di Francesco, P.; Guitter, E. 27 2003 Rectangular matrix models and combinatorics of colored graphs. Zbl 1005.82003Di Francesco, P. 12 2003 Combinatorics of hard particles on planar graphs. Zbl 1009.82005Bouttier, J.; Di Francesco, P.; Guitter, E. 8 2003 Random trees between two walls: exact partition function. Zbl 1051.82010Bouttier, J.; Di Francesco, P.; Guitter, E. 7 2003 Statistics of planar graphs viewed from a vertex: A study via labeled trees. Zbl 1027.05021Bouttier, J.; Di Francesco, P.; Guitter, E. 7 2003 An exact solution for Parisi equations with \(R\) steps on RSB, free energy and fluctuations. Zbl 1075.82531De Dominicis, C.; Di Francesco, P. 1 2003 Census of planar maps: From the one-matrix model solution to a combinatorial proof. Zbl 0999.05052Bouttier, J.; Di Francesco, P.; Guitter, E. 31 2002 Counting colored random triangulations. Zbl 0998.05019Bouttier, J.; Di Francesco, P.; Guitter, E. 10 2002 Critical and tricritical hard objects on bicolourable random lattices: exact solutions. Zbl 1053.82018Bouttier, J.; Di Francesco, P.; Guitter, E. 7 2002 Critical and multicritical semi-random \((1+d)\)-dimensional lattices and hard objects in \(d\) dimensions. Zbl 0993.82026Di Francesco, P.; Guitter, E. 7 2002 Matrix model combinatorics: applications to folding and coloring. Zbl 1129.81334Di Francesco, Philippe 8 2001 Generalized Lorentzian triangulations and the Calogero Hamiltonian. Zbl 0969.81606Di Francesco, P.; Guitter, E.; Kristjansen, C. 5 2001 Folding and coloring problems in mathematics and physics. Zbl 1025.82001Di Francesco, P. 14 2000 Integrable 2D Lorentzian gravity and random walks. Zbl 0958.83019Di Francesco, P.; Guitter, E.; Kristjansen, C. 11 2000 Meanders: Exact asymptotics. Zbl 0984.82024Di Francesco, P.; Golinelli, O.; Guitter, E. 10 2000 Exact meander asymptotics: a numerical check. Zbl 0984.82025Di Francesco, P.; Guitter, E.; Jacobsen, J. L. 4 2000 Exact asymptotics of meander numbers. Zbl 0972.82046Di Francesco, P. 1 2000 2-D quantum and topological gravities, matrix models, and integrable differential systems. Zbl 1107.81327Di Francesco, Philippe 4 1999 Fully packed \(O\) \((n=1)\) model on random Eulerian triangulations. Zbl 0944.82011Di Francesco, P.; Guitter, E.; Kristjansen, C. 1 1999 Meander determinants. Zbl 0923.57002Di Francesco, P. 25 1998 Coloring random triangulations. Zbl 0949.82006Di Francesco, P.; Eynard, B.; Guitter, E. 8 1998 New integrable lattice models from Fuss-Catalan algebras. Zbl 0953.82018Di Francesco, P. 6 1998 Folding transitions of the square-diagonal lattice. Zbl 0955.82015Di Francesco, P. 1 1998 Folding the square-diagonal lattice. Zbl 1047.82517Di Francesco, P. 1 1998 Conformal field theory. Zbl 0869.53052Di Francesco, Philippe; Mathieu, Pierre; Sénéchal, David 466 1997 Meanders and the Temperley-Lieb algebra. Zbl 0873.05008Di Francesco, P.; Golinelli, O.; Guitter, E. 28 1997 Meander, folding, and arch statistics. Zbl 1185.82026Di Francesco, P.; Golinelli, O.; Guitter, E. 14 1997 SU\((N)\) meander determinants. Zbl 0888.22004Di Francesco, P. 4 1997 Folding, meanders and arches. Zbl 0913.73003Di Francesco, P.; Golinelli, O.; Guitter, E. 1 1997 Meanders: A direct enumeration approach. Zbl 0925.82102Di Francesco, P.; Golinelli, O.; Guitter, E. 5 1996 Quantum intersection rings. Appendix A. Zbl 0868.14029Di Francesco, P.; Itzykson, C. 23 1995 Three-dimensional folding of the triangular lattice. Zbl 0925.82041Bowick, M.; Di Francesco, P.; Golinelli, O.; Guitter, E. 4 1995 Laughlin’s wave functions, Coulomb gases and expansions of the discriminant. Zbl 0988.81563Di Francesco, P.; Gaudin, M.; Itzykson, C.; Lesage, F. 34 1994 Elliptic genera and the Landau-Ginzburg approach to \(N=2\) orbifolds. Zbl 1049.81622Di Francesco, P.; Aharony, O.; Yankielowicz, S. 9 1994 Ramond sector characters and \(N=2\) Landau-Ginzburg models. Zbl 1043.81686Di Francesco, P.; Yankielowicz, S. 13 1993 Polynomial averages in the Kontsevich model. Zbl 0831.14010Di Francesco, P.; Itzykson, C.; Zuber, J.-B. 13 1993 A generating function for fatgraphs. Zbl 0796.05045Di Francesco, P.; Itzykson, C. 9 1993 Fusion potentials. I. Zbl 0778.17021Di Francesco, P.; Zuber, J.-B. 5 1993 Graph rings and integrable perturbations of \(N=2\) superconformal theories. Zbl 1043.81685Di Francesco, P.; Lesage, F.; Zuber, J.-B. 4 1993 Integrable lattice models, graphs and modular invariant conformal field theories. Zbl 0797.17023Di Francesco, P. 11 1992 Classical \(W\)-algebras. Zbl 0752.17026Di Francesco, P.; Itzykson, C.; Zuber, J.-B. 37 1991 Covariant differential equations and singular vectors in Virasoro representations. Zbl 0957.17508Bauer, M.; Di Francesco, Ph.; Itzykson, C. 27 1991 Singular vectors of the Virasoro algebra. Zbl 0957.17510Bauer, M.; Di Francesco, Ph.; Itzykson, C.; Zuber, J.-B. 7 1991 Integrable models of two dimensional quantum gravity. Zbl 0772.58073Di Francesco, P.; Kutasov, D. 1 1991 SU(N) lattice integrable models and modular invariance. Zbl 0748.17029Di Francesco, P.; Zuber, J.-B. 22 1990 Superdiscrete series coupled to \(2\)D supergravity. Zbl 1020.81827Di Francesco, P.; Distler, J.; Kutasov, D. 3 1990 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,514 Authors 32 Di Francesco, Philippe 24 Guitter, Emmanuel 22 Zinn-Justin, Paul 14 Francesco, P. Di 12 Bouttier, Jérémie 12 Mathieu, Pierre 12 Morozov, Alexei Yurievich 12 Ridout, David 11 Jacobsen, Jesper Lykke 11 Saleur, Hubert 9 Banica, Teodor 9 Fitzpatrick, A. Liam 9 Fusy, Éric 9 Mironov, Andrei D. 8 Akemann, Gernot 8 Creutzig, Thomas 8 Evans, David E. 8 Kedem, Rinat 8 Le Gall, Jean-François 8 Miermont, Grégory 8 Zuber, Jean-Bernard 7 Ambjørn, Jan 7 Bernardi, Olivier 7 Bousquet-Mélou, Mireille 7 Eberhardt, Lorenz 7 Fischer, Ilse 7 Forrester, Peter J. 7 Gaberdiel, Matthias R. 7 Gannon, Terry 7 Kieburg, Mario 7 Zohren, Stefan 6 Bantay, Peter 6 Bettinelli, Jérémie L. 6 Coquereaux, Robert 6 Curien, Nicolas 6 de Gier, Jan 6 Georgiev, Lachezar S. 6 Gorin, Vadim 6 Kaplan, Jared 6 Ruelle, Philippe 6 Santachiara, Raoul 6 Sportiello, Andrea 5 Bandelloni, Giuseppe 5 Chapuy, Guillaume 5 Colomo, Filippo 5 Flores, Steven M. 5 Guo, Xiangqian 5 Hikida, Yasuaki 5 Ikhlef, Yacine 5 Kang, Mihyun 5 Kleban, Peter 5 Lazzarini, Serge 5 Lecheminant, Philippe 5 Loll, Renate 5 Morozov, Al’bert Dmitrievich 5 Mukhi, Sunil 5 Naoi, Katsuyuki 5 Qi, Yongcheng 5 Rafat, Hesham 5 Shakirov, Sh. R. 5 Zhao, Kaiming 4 Aharony, Ofer 4 Bakalov, Bojko 4 Bauer, Michel 4 Berenstein, Arkady 4 Bertola, Marco 4 Collins, Benoît 4 David, François 4 Davydov, Alekseĭ Aleksandrovich 4 Dorey, Patrick E. 4 Duits, Maurice 4 Estienne, Benoit 4 Feĭgin, Boris L’vovich 4 Fonseca, Tiago M. 4 Garoni, Timothy M. 4 Gopakumar, Rajesh 4 Grumiller, Daniel 4 Guionnet, Alice 4 Hikami, Kazuhiro 4 Jones, Vaughan Frederick Randal 4 Kholodenko, Arkady L. 4 Kota, V. K. B. 4 Li, Daliang 4 Liu, Xuewen 4 Louf, Baptiste 4 Lü, Rencai 4 Lubinsky, Doron S. 4 Matsuo, Yutaka 4 Ménard, Laurent 4 Mkrtchyan, Ruben L. 4 Ponsaing, Anita K. 4 Procházka, Tomáš 4 Pronko, Andrei G. 4 Pugh, Mathew 4 Richier, Loïc 4 Šamaj, Ladislav 4 Schaeffer, Gilles 4 Scrimshaw, Travis 4 Striker, Jessica 4 Tateo, Roberto ...and 1,414 more Authors all top 5 Cited in 160 Serials 203 Journal of High Energy Physics 184 Nuclear Physics. 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Latin American Journal of Probability and Mathematical Statistics 2 Advances in Mathematical Physics 2 Probability Surveys 2 Kyoto Journal of Mathematics 2 Analysis and Mathematical Physics 2 Annales Henri Lebesgue 1 Modern Physics Letters A 1 Modern Physics Letters B 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 60 more Serials all top 5 Cited in 55 Fields 580 Quantum theory (81-XX) 252 Statistical mechanics, structure of matter (82-XX) 205 Combinatorics (05-XX) 168 Nonassociative rings and algebras (17-XX) 157 Probability theory and stochastic processes (60-XX) 153 Relativity and gravitational theory (83-XX) 91 Linear and multilinear algebra; matrix theory (15-XX) 88 Algebraic geometry (14-XX) 62 Dynamical systems and ergodic theory (37-XX) 49 Commutative algebra (13-XX) 47 Associative rings and algebras (16-XX) 45 Global analysis, analysis on manifolds (58-XX) 38 Partial differential equations (35-XX) 37 Functional analysis (46-XX) 36 Differential geometry (53-XX) 36 Manifolds and cell complexes (57-XX) 33 Number theory (11-XX) 33 Special functions (33-XX) 28 Group theory and generalizations (20-XX) 25 Topological groups, Lie groups (22-XX) 20 Functions of a complex variable (30-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Statistics (62-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Numerical analysis (65-XX) 13 Information and communication theory, circuits (94-XX) 12 Category theory; homological algebra (18-XX) 11 Difference and functional equations (39-XX) 9 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 8 Geometry (51-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Convex and discrete geometry (52-XX) 7 Computer science (68-XX) 6 Measure and integration (28-XX) 6 Mechanics of particles and systems (70-XX) 5 Field theory and polynomials (12-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Approximations and expansions (41-XX) 3 General and overarching topics; collections (00-XX) 3 \(K\)-theory (19-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 General topology (54-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Algebraic topology (55-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-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