Edit Profile (opens in new tab) Kholodenko, Arkady L. Co-Author Distance Author ID: kholodenko.arkady-l Published as: Kholodenko, Arkady L.; Kholodenko, A. L.; Kholodenko, Arkady; Kholodenko, A. more...less Documents Indexed: 35 Publications since 1991, including 1 Book and 4 Additional arXiv Preprints Reviewing Activity: 36 Reviews Co-Authors: 4 Co-Authors with 4 Joint Publications 232 Co-Co-Authors Co-Authors 30 single-authored 1 Kauffman, Louis Hirsch 1 Rolfsen, Dale 1 Silagadze, Zurab K. 1 Vilgis, Thomas A. all top 5 Serials 11 Journal of Geometry and Physics 3 International Journal of Geometric Methods in Modern Physics 2 International Journal of Modern Physics A 2 Journal of Mathematical Physics 2 Annals of Physics 2 Journal of Physics A: Mathematical and General 2 International Mathematical Forum 1 Journal of Statistical Physics 1 Physica A 1 Advanced Studies in Theoretical Physics 1 Analysis and Mathematical Physics 1 PTEP. Progress of Theoretical and Experimental Physics all top 5 Fields 22 Quantum theory (81-XX) 10 Relativity and gravitational theory (83-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Differential geometry (53-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Manifolds and cell complexes (57-XX) 4 Probability theory and stochastic processes (60-XX) 4 Fluid mechanics (76-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Partial differential equations (35-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 119 times in 74 Documents Cited by ▼ Year ▼ Applications of contact geometry and topology in physics. Zbl 1279.53001 Kholodenko, Arkady L. 28 2013 Towards physically motivated proofs of the Poincaré and geometrization conjectures. Zbl 1135.53026 Kholodenko, Arkady L. 16 2008 Boundary conformal field theories, limit sets of Kleinian groups and holography. Zbl 0986.81095 Kholodenko, Arkady L. 8 2000 Use of meanders and train tracks for description of defects and textures in liquid crystals and \(2+1\) gravity. Zbl 0961.83016 Kholodenko, Arkady L. 7 2000 Classical dynamics of the rigid string from the Willmore functional. Zbl 0830.53060 Kholodenko, A. L.; Nesterenko, V. V. 6 1995 Use of quadratic differentials for description of defects and textures in liquid crystals and \(2+1\) gravity. Zbl 0961.83017 Kholodenko, Arkady L. 6 2000 Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution. Zbl 1146.83306 Kholodenko, A. 6 2002 New strings for old Veneziano amplitudes. I: Analytical treatment. Zbl 1079.83032 Kholodenko, A. L. 4 2005 Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results. Zbl 0990.83004 Kholodenko, A. L. 4 2001 Knot complexity and related observables from path integrals for semiflexible polymers. Zbl 0898.57002 Kholodenko, Arkady L.; Rolfsen, Dale P. 3 1996 New strings for old Veneziano amplitudes. II: group-theoretic treatment. Zbl 1116.81066 Kholodenko, A. L. 3 2006 Statistical mechanics of the deformable droplets on flat surfaces. Zbl 0867.76073 Kholodenko, Arkady L. 3 1996 Optical knots and contact geometry. I: From Arnol’d inequality to Ranada’s dyons. Zbl 1342.35365 Kholodenko, Arkady L. 3 2016 Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots. Zbl 1380.53094 Kholodenko, Arkady L. 2 2016 Some thoughts about random walks on figure eight. Zbl 0971.60500 Kholodenko, A. L. 2 2001 Heisenberg honeycombs solve Veneziano puzzle. Zbl 1173.81011 Kholodenko, A. L. 2 2009 New models for Veneziano amplitudes: combinatorial, symplectic and supersymmetric aspects. Zbl 1081.81093 Kholodenko, A. L. 2 2005 New strings for old Veneziano amplitudes. III: Symplectic treatment. Zbl 1117.81115 Kholodenko, A. L. 2 2006 Veneziano amplitudes, spin chains and abelian reduction of QCD. Zbl 1162.81418 Kholodenko, Arkady 2 2009 “New” Veneziano amplitudes from “old” Fermat (hyper)surfaces. Zbl 1068.81592 Kholodenko, A. L. 2 2004 New string amplitudes from old Fermat (hyper)surfaces. Zbl 1080.11089 Kholodenko, A. L. 2 2004 Statistical mechanics of the deformable droplets on Riemannian surfaces: Applications to reptation and related problems. Zbl 0868.76077 Kholodenko, Arkady L. 2 1996 Role of general relativity and quantum mechanics in dynamics of solar system. Zbl 1232.83021 Kholodenko, Arkady L. 1 2010 Potts model, Dirac propagator, and conformational statistics of semiflexible polymers. Zbl 0935.82523 Kholodenko, Arkady L. 1 1991 Gravity-assisted solution of the mass gap problem for pure Yang-Mills fields. Zbl 1243.83064 Kholodenko, Arkady L. 1 2011 Traces of mirror symmetry in nature. Zbl 1154.81022 Kholodenko, A. L. 1 2008 Optical knots and contact geometry. I: From Arnol’d inequality to Ranada’s dyons. Zbl 1342.35365 Kholodenko, Arkady L. 3 2016 Optical knots and contact geometry. II: From Ranada dyons to transverse and cosmetic knots. Zbl 1380.53094 Kholodenko, Arkady L. 2 2016 Applications of contact geometry and topology in physics. Zbl 1279.53001 Kholodenko, Arkady L. 28 2013 Gravity-assisted solution of the mass gap problem for pure Yang-Mills fields. Zbl 1243.83064 Kholodenko, Arkady L. 1 2011 Role of general relativity and quantum mechanics in dynamics of solar system. Zbl 1232.83021 Kholodenko, Arkady L. 1 2010 Heisenberg honeycombs solve Veneziano puzzle. Zbl 1173.81011 Kholodenko, A. L. 2 2009 Veneziano amplitudes, spin chains and abelian reduction of QCD. Zbl 1162.81418 Kholodenko, Arkady 2 2009 Towards physically motivated proofs of the Poincaré and geometrization conjectures. Zbl 1135.53026 Kholodenko, Arkady L. 16 2008 Traces of mirror symmetry in nature. Zbl 1154.81022 Kholodenko, A. L. 1 2008 New strings for old Veneziano amplitudes. II: group-theoretic treatment. Zbl 1116.81066 Kholodenko, A. L. 3 2006 New strings for old Veneziano amplitudes. III: Symplectic treatment. Zbl 1117.81115 Kholodenko, A. L. 2 2006 New strings for old Veneziano amplitudes. I: Analytical treatment. Zbl 1079.83032 Kholodenko, A. L. 4 2005 New models for Veneziano amplitudes: combinatorial, symplectic and supersymmetric aspects. Zbl 1081.81093 Kholodenko, A. L. 2 2005 “New” Veneziano amplitudes from “old” Fermat (hyper)surfaces. Zbl 1068.81592 Kholodenko, A. L. 2 2004 New string amplitudes from old Fermat (hyper)surfaces. Zbl 1080.11089 Kholodenko, A. L. 2 2004 Kontsevich-Witten model from \(2+1\) gravity: new exact combinatorial solution. Zbl 1146.83306 Kholodenko, A. 6 2002 Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results. Zbl 0990.83004 Kholodenko, A. L. 4 2001 Some thoughts about random walks on figure eight. Zbl 0971.60500 Kholodenko, A. L. 2 2001 Boundary conformal field theories, limit sets of Kleinian groups and holography. Zbl 0986.81095 Kholodenko, Arkady L. 8 2000 Use of meanders and train tracks for description of defects and textures in liquid crystals and \(2+1\) gravity. Zbl 0961.83016 Kholodenko, Arkady L. 7 2000 Use of quadratic differentials for description of defects and textures in liquid crystals and \(2+1\) gravity. Zbl 0961.83017 Kholodenko, Arkady L. 6 2000 Knot complexity and related observables from path integrals for semiflexible polymers. Zbl 0898.57002 Kholodenko, Arkady L.; Rolfsen, Dale P. 3 1996 Statistical mechanics of the deformable droplets on flat surfaces. Zbl 0867.76073 Kholodenko, Arkady L. 3 1996 Statistical mechanics of the deformable droplets on Riemannian surfaces: Applications to reptation and related problems. Zbl 0868.76077 Kholodenko, Arkady L. 2 1996 Classical dynamics of the rigid string from the Willmore functional. Zbl 0830.53060 Kholodenko, A. L.; Nesterenko, V. V. 6 1995 Potts model, Dirac propagator, and conformational statistics of semiflexible polymers. Zbl 0935.82523 Kholodenko, Arkady L. 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 70 Authors 20 Kholodenko, Arkady L. 10 Rivas, Xavier 8 Román-Roy, Narciso 7 Muñoz-Lecanda, Miguel C. 6 de León Rodríguez, Manuel 6 Gaset, Jordi 5 Laínz, Manuel 4 Calvaruso, Giovanni 4 Gràcia, Xavier 3 Azami, Shahroud 3 Banaru, Mikhail Borisovich 3 Bravetti, Alessandro 2 García-Río, Eduardo 2 Kang, Mihyun 2 Lopez-Monsalvo, Cesar S. 2 Nastase, Horatiu Stefan 2 Sonnenschein, Jacob 2 Unal, Inan 1 Alves, Daniel W. F. 1 Arroyo, Josu J. 1 Avcu, Keziban 1 Banaru, Galina Anatol’evna 1 Benhamida, Asma 1 Benini, Francesco 1 Bergner, Matthias 1 Bode, Benjamin 1 Brozos-Vázquez, Miguel 1 Castro Perelman, Carlos 1 Cheng, Xiaosheng 1 de la Rosa, Martín 1 de Leo, Barbara 1 de Lucas, Javier 1 Diesinger, P. M. 1 Fernández-López, Manuel 1 Fino, Anna 1 Flores-Alfonso, Daniel 1 Garay, Oscar Jesus 1 Garcia-Chung, Angel 1 García-Peláez, D. 1 Hadiji, Rejebquat 1 Heermann, Dieter W. 1 Herrera, Jónatan 1 Hoyos, Carlos 1 Hu, Guang 1 Jacob, Benoît 1 Jafari, Mehdi 1 Kauffman, Louis Hirsch 1 Kröncke, Klaus 1 Liu, Qihuai 1 Liu, Shuya 1 López-Gordón, Asier 1 Maceda, Marco 1 Manton, Nicholas S. 1 McInnes, Brett 1 Mencía, José J. 1 Müller-Nedebock, Kristian K. 1 Pirhadi, Vahid 1 Qiu, Wen-Yuan 1 Ramandi, Ghodratallah Fasihi 1 Rohwer, C. M. 1 Rubio-Ponce, A. 1 Rubio, Rafael María 1 Schäfer, Lars 1 Seri, Marcello 1 Si, Tieyan 1 Tapias, Diego 1 Torres, Daniel Alexdy 1 Torres, Pedro José 1 Turgut Vanlı, Aysel 1 Vermeeren, Mats all top 5 Cited in 34 Serials 17 Journal of Geometry and Physics 7 Journal of Mathematical Physics 6 International Journal of Geometric Methods in Modern Physics 5 Annals of Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Nonlinear Mathematical Physics 2 International Journal of Modern Physics A 2 Nuclear Physics. B 2 Physics Letters. B 2 Fortschritte der Physik 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Reports on Mathematical Physics 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Topology and its Applications 1 Acta Mathematica Hungarica 1 Journal of Nonlinear Science 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Journal of Mathematical Chemistry 1 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 1 Journal of High Energy Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Journal of Noncommutative Geometry 1 Journal of Geometric Mechanics 1 Analysis and Mathematical Physics 1 Afrika Matematika 1 European Journal of Mathematics all top 5 Cited in 32 Fields 39 Differential geometry (53-XX) 23 Quantum theory (81-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Relativity and gravitational theory (83-XX) 14 Mechanics of particles and systems (70-XX) 10 Partial differential equations (35-XX) 9 Statistical mechanics, structure of matter (82-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Manifolds and cell complexes (57-XX) 5 Fluid mechanics (76-XX) 4 Number theory (11-XX) 4 Optics, electromagnetic theory (78-XX) 3 Nonassociative rings and algebras (17-XX) 3 Probability theory and stochastic processes (60-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year