Milivoje Lukic, Ph.D.

Affiliations: 
2011 Mathematics California Institute of Technology, Pasadena, CA 
Area:
Mathematics, Theoretical Mathematics
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Parents

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Barry M. Simon grad student 2011 Caltech
 (Spectral theory for generalized bounded variation perturbations of orthogonal polynomials and Schrodinger operators.)
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Publications

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Lukić M, Young G. (2020) Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows Journal of Functional Analysis. 279: 108705
Lukic M. (2018) ℓ 2 Bounded Variation and Absolutely Continuous Spectrum of Jacobi Matrices Communications in Mathematical Physics. 359: 101-119
Damanik D, Fillman J, Lukic M, et al. (2016) Characterizations of uniform hyperbolicity and spectra of CMV matrices Discrete and Continuous Dynamical Systems - Series S. 9: 1009-1023
Lukic M, Ong DC. (2016) Generalized Prüfer variables for perturbations of Jacobi and CMV matrices Journal of Mathematical Analysis and Applications. 444: 1490-1514
Lukic M. (2016) On Higher-Order Szegő Theorems with a Single Critical Point of Arbitrary Order Constructive Approximation. 1-14
Damanik D, Goldstein M, Lukic M. (2016) The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations Inventiones Mathematicae. 1-86
Damanik D, Fillman J, Lukic M, et al. (2015) Uniform hyperbolicity for szego cocycles and applications to random CMV matrices and the ising model International Mathematics Research Notices. 2015: 7110-7129
Lukic M, Ong DC. (2015) Wigner-von neumann type perturbations of periodic schrödinger operators Transactions of the American Mathematical Society. 367: 707-724
Lukic M. (2014) A Class of Schrödinger Operators with Decaying Oscillatory Potentials Communications in Mathematical Physics. 326: 441-458
Damanik D, Finkelshtein AM, Iosevich A, et al. (2013) Derivatives of L p eigenfunctions of schrödinger operators Mathematical Modelling of Natural Phenomena. 8: 170-174
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