Edit Profile (opens in new tab) Lukic, Milivoje Co-Author Distance Author ID: lukic.milivoje Published as: Lukic, Milivoje; Lukić, Milivoje; Lukic, M. more...less Homepage: https://math.rice.edu/~ml28/ External Links: MGP · arXiv Documents Indexed: 37 Publications since 2011, including 1 Book and 8 Additional arXiv Preprints Co-Authors: 19 Co-Authors with 27 Joint Publications 338 Co-Co-Authors all top 5 Co-Authors 10 single-authored 13 Damanik, David 6 Eichinger, Benjamin 6 Fillman, Jake 5 Yessen, William N. 4 Goldstein, Michael 3 Young, Giorgio 3 Yuditskii, Peter Meerovich 2 Bessonov, Roman V. 2 Binder, Ilia A. 2 Gwaltney, Ethan 2 Lemm, Marius 2 Ong, Darren C. 1 Boshernitzan, Michael D. 1 Last, Yoram 1 Simanek, Brian Z. 1 Sukhtaiev, Selim 1 VandenBoom, Tom 1 Volberg, Alexander Lvovich 1 Wang, Xingya all top 5 Serials 8 Journal of Spectral Theory 4 Communications in Mathematical Physics 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Constructive Approximation 1 Journal of Mathematical Analysis and Applications 1 Duke Mathematical Journal 1 Integral Equations and Operator Theory 1 Inventiones Mathematicae 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 IMRN. International Mathematics Research Notices 1 Graduate Studies in Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Transactions of the American Mathematical Society. Series B all top 5 Fields 16 Ordinary differential equations (34-XX) 16 Operator theory (47-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 9 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 218 times in 126 Documents Cited by ▼ Year ▼ Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems. Zbl 1332.82027 Damanik, David; Lukic, Milivoje; Yessen, William 28 2015 Almost periodicity in time of solutions of the KdV equation. Zbl 1406.35325 Binder, Ilia; Damanik, David; Goldstein, Michael; Lukic, Milivoje 23 2018 Characterizations of uniform hyperbolicity and spectra of CMV matrices. Zbl 1366.37077 Yessen, William; Lukic, Milivoje; Fillman, Jake; Damanik, David 21 2016 Schrödinger operators with slowly decaying Wigner-von Neumann type potentials. Zbl 1278.34100 Lukic, Milivoje 15 2013 Orthogonal polynomials with recursion coefficients of generalized bounded variation. Zbl 1237.42017 Lukic, Milivoje 14 2011 The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous. Zbl 1350.34067 Damanik, David; Goldstein, Michael; Lukic, Milivoje 13 2016 Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum. Zbl 1432.34113 Damanik, David; Fillman, Jake; Lukic, Milivoje 12 2017 A class of Schrödinger operators with decaying oscillatory potentials. Zbl 1297.34097 Lukic, Milivoje 12 2014 Spectral homogeneity of limit-periodic Schrödinger operators. Zbl 1378.34097 Fillman, Jake; Lukic, Milivoje 9 2017 The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations. Zbl 1359.34095 Damanik, David; Goldstein, Michael; Lukic, Milivoje 9 2017 On higher-order Szegő theorems with a single critical point of arbitrary order. Zbl 1353.47061 Lukic, Milivoje 8 2016 Uniform hyperbolicity for Szegő cocycles and applications to random CMV matrices and the Ising model. Zbl 1325.33007 Damanik, David; Fillman, Jake; Lukic, Milivoje; Yessen, William 8 2015 Wigner-von Neumann type perturbations of periodic Schrödinger operators. Zbl 1308.35072 Lukic, Milivoje; Ong, Darren C. 8 2015 On anomalous Lieb-Robinson bounds for the Fibonacci XY chain. Zbl 1350.81009 Damanik, David; Lemm, Marius; Lukic, Milivoje; Yessen, William 7 2016 Generalized Prüfer variables for perturbations of Jacobi and CMV matrices. Zbl 1353.47062 Lukic, Milivoje; Ong, Darren C. 7 2016 On a conjecture for higher-order Szegő theorems. Zbl 1283.42040 Lukic, Milivoje 7 2013 Almost periodicity in time of solutions of the Toda lattice. Zbl 1396.37067 Binder, Ilia; Damanik, David; Lukic, Milivoje; VandenBoom, Tom 4 2018 A multi-scale analysis scheme on abelian groups with an application to operators dual to Hill’s equation. Zbl 1355.35053 Damanik, David; Goldstein, Michael; Lukic, Milivoje 4 2017 Square-summable variation and absolutely continuous spectrum. Zbl 1312.47038 Lukic, Milivoje 3 2014 \(\ell^2\) bounded variation and absolutely continuous spectrum of Jacobi matrices. Zbl 1470.47026 Last, Yoram; Lukic, Milivoje 1 2018 Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients. Zbl 07130657 Lukic, Milivoje 1 2019 Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows. Zbl 1446.35175 Lukić, Milivoje; Young, Giorgio 1 2020 Reflectionless canonical systems. I: Arov gauge and right limits. Zbl 07462027 Bessonov, Roman; Lukić, Milivoje; Yuditskii, Peter 1 2022 Limit-periodic Dirac operators with thin spectra. Zbl 07605368 Eichinger, Benjamin; Fillman, Jake; Gwaltney, Ethan; Lukić, Milivoje 1 2022 Derivatives of \(L^p\) eigenfunctions of Schrödinger operators. Zbl 1275.34108 Lukic, M. 1 2013 Reflectionless canonical systems. I: Arov gauge and right limits. Zbl 07462027 Bessonov, Roman; Lukić, Milivoje; Yuditskii, Peter 1 2022 Limit-periodic Dirac operators with thin spectra. Zbl 07605368 Eichinger, Benjamin; Fillman, Jake; Gwaltney, Ethan; Lukić, Milivoje 1 2022 Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows. Zbl 1446.35175 Lukić, Milivoje; Young, Giorgio 1 2020 Spectral edge behavior for eventually monotone Jacobi and Verblunsky coefficients. Zbl 07130657 Lukic, Milivoje 1 2019 Almost periodicity in time of solutions of the KdV equation. Zbl 1406.35325 Binder, Ilia; Damanik, David; Goldstein, Michael; Lukic, Milivoje 23 2018 Almost periodicity in time of solutions of the Toda lattice. Zbl 1396.37067 Binder, Ilia; Damanik, David; Lukic, Milivoje; VandenBoom, Tom 4 2018 \(\ell^2\) bounded variation and absolutely continuous spectrum of Jacobi matrices. Zbl 1470.47026 Last, Yoram; Lukic, Milivoje 1 2018 Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum. Zbl 1432.34113 Damanik, David; Fillman, Jake; Lukic, Milivoje 12 2017 Spectral homogeneity of limit-periodic Schrödinger operators. Zbl 1378.34097 Fillman, Jake; Lukic, Milivoje 9 2017 The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations. Zbl 1359.34095 Damanik, David; Goldstein, Michael; Lukic, Milivoje 9 2017 A multi-scale analysis scheme on abelian groups with an application to operators dual to Hill’s equation. Zbl 1355.35053 Damanik, David; Goldstein, Michael; Lukic, Milivoje 4 2017 Characterizations of uniform hyperbolicity and spectra of CMV matrices. Zbl 1366.37077 Yessen, William; Lukic, Milivoje; Fillman, Jake; Damanik, David 21 2016 The spectrum of a Schrödinger operator with small quasi-periodic potential is homogeneous. Zbl 1350.34067 Damanik, David; Goldstein, Michael; Lukic, Milivoje 13 2016 On higher-order Szegő theorems with a single critical point of arbitrary order. Zbl 1353.47061 Lukic, Milivoje 8 2016 On anomalous Lieb-Robinson bounds for the Fibonacci XY chain. Zbl 1350.81009 Damanik, David; Lemm, Marius; Lukic, Milivoje; Yessen, William 7 2016 Generalized Prüfer variables for perturbations of Jacobi and CMV matrices. Zbl 1353.47062 Lukic, Milivoje; Ong, Darren C. 7 2016 Quantum dynamics of periodic and limit-periodic Jacobi and block Jacobi matrices with applications to some quantum many body problems. Zbl 1332.82027 Damanik, David; Lukic, Milivoje; Yessen, William 28 2015 Uniform hyperbolicity for Szegő cocycles and applications to random CMV matrices and the Ising model. Zbl 1325.33007 Damanik, David; Fillman, Jake; Lukic, Milivoje; Yessen, William 8 2015 Wigner-von Neumann type perturbations of periodic Schrödinger operators. Zbl 1308.35072 Lukic, Milivoje; Ong, Darren C. 8 2015 A class of Schrödinger operators with decaying oscillatory potentials. Zbl 1297.34097 Lukic, Milivoje 12 2014 Square-summable variation and absolutely continuous spectrum. Zbl 1312.47038 Lukic, Milivoje 3 2014 Schrödinger operators with slowly decaying Wigner-von Neumann type potentials. Zbl 1278.34100 Lukic, Milivoje 15 2013 On a conjecture for higher-order Szegő theorems. Zbl 1283.42040 Lukic, Milivoje 7 2013 Derivatives of \(L^p\) eigenfunctions of Schrödinger operators. Zbl 1275.34108 Lukic, M. 1 2013 Orthogonal polynomials with recursion coefficients of generalized bounded variation. Zbl 1237.42017 Lukic, Milivoje 14 2011 all cited Publications top 5 cited Publications all top 5 Cited by 126 Authors 24 Damanik, David 17 Fillman, Jake 15 Lukic, Milivoje 9 Ong, Darren C. 6 Gorodetskii, Anton Semenovich 5 Goldstein, Michael 5 Liu, Wencai 4 Sultanov, Oskar A. 4 VandenBoom, Tom 4 Zhao, Xin 3 Ge, Lingrui 3 Guo, Shuzheng 3 Judge, Edmund 3 Naboko, Serguei N. 3 Simonov, Sergey A. 3 Wood, Ian Geoffrey 3 Yuditskii, Peter Meerovich 3 Zhang, Zhenghe 2 Breuer, Jonathan 2 Eichinger, Benjamin 2 Fang, Licheng 2 Fu, Zhengqi 2 Gebert, Martin 2 Kachkovskiy, Ilya V. 2 Mandich, Marc-Adrien 2 Matos, Rodrigo 2 Mi, Yue 2 Nachtergaele, Bruno 2 Piao, Daxiong 2 Rouault, Alain 2 Rybkin, Alexei 2 Schenker, Jeffrey H. 2 Shi, Yunfeng 2 Simanek, Brian Z. 2 Simon, Barry 2 Stolz, Gunter 2 Świderski, Grzegorz 2 Wang, Fengpeng 2 You, Jiangong 2 Young, Giorgio 2 Zeitouni, Ofer 2 Zhang, Shiwen 2 Zhou, Qi 1 Abdul-Rahman, Houssam M. 1 Alkorn, Kateryna 1 Arnold, Douglas Norman 1 Astaburuaga, María Angélica 1 Beckus, Siegfried 1 Bessonov, Roman V. 1 Binder, Ilia A. 1 Bourget, Olivier 1 Bucaj, Valmir 1 Cai, Ao 1 Cedzich, Christopher 1 Chen, Joe Po-Chou 1 Chen, Mo 1 Christiansen, Jacob Stordal 1 Cortés, Víctor H. 1 Deift, Percy A. 1 Denisov, Sergey A. 1 Devyver, Baptiste 1 Ding, Bowen 1 Dodson, Benjamin G. 1 Embree, Mark 1 Filoche, Marcel 1 Gamboa, Fabrice 1 Gerbuz, Vitaly 1 Gesztesy, Fritz 1 Golénia, Sylvain 1 Grigorchuk, Rostislav Ivanovich 1 Grudsky, Sergei Mikhailovich 1 Gwaltney, Ethan 1 Han, Rui 1 Hooshmandasl, Mohammad Reza 1 Hou, Xuanji 1 Jian, Wenwen 1 Jitomirskaya, Svetlana Yakovlevna 1 Jun, Hyunkyu 1 Kameoka, Kentaro 1 Killip, Rowan 1 Kleptsyn, Victor A. 1 Kotani, Shinichi 1 Krüger, Helge 1 Last, Yoram 1 Laurens, Thierry 1 Lemm, Marius 1 Lenz, Daniel H. 1 Li, Jinhui 1 Liang, Jinhao 1 Lin, Yanxue 1 Liu, Qinghui 1 Lörinczi, József 1 Lotoreichik, Vladimir 1 Mavi, Rajinder 1 Mayboroda, Svitlana 1 Moon, Alvin 1 Murphy, Jason 1 Nagel, Jan 1 Nesterov, Pavel Nikolaevich 1 Qu, Yanhui ...and 26 more Authors all top 5 Cited in 49 Serials 17 Communications in Mathematical Physics 17 Journal of Functional Analysis 7 Transactions of the American Mathematical Society 6 Annales Henri Poincaré 6 Journal of Spectral Theory 5 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Physics 4 Proceedings of the American Mathematical Society 4 Constructive Approximation 3 Advances in Mathematics 3 Inventiones Mathematicae 3 Discrete and Continuous Dynamical Systems 2 Journal d’Analyse Mathématique 2 Journal of Statistical Physics 2 Nonlinearity 2 Duke Mathematical Journal 2 Integral Equations and Operator Theory 2 Journal of Approximation Theory 2 Ergodic Theory and Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Reviews in Mathematical Physics 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Physica D 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Mathematical Sciences (New York) 1 Journal of Difference Equations and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Oberwolfach Reports 1 Journal of Mathematical Physics, Analysis, Geometry 1 Inverse Problems in Science and Engineering 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Random Matrices: Theory and Applications 1 Transactions of the American Mathematical Society. Series B 1 Pure and Applied Analysis all top 5 Cited in 29 Fields 61 Operator theory (47-XX) 46 Partial differential equations (35-XX) 38 Quantum theory (81-XX) 34 Ordinary differential equations (34-XX) 31 Dynamical systems and ergodic theory (37-XX) 22 Statistical mechanics, structure of matter (82-XX) 15 Difference and functional equations (39-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 14 Probability theory and stochastic processes (60-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year