David Damanik

3.3k total citations
121 papers, 1.5k citations indexed

About

David Damanik is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Materials Chemistry. According to data from OpenAlex, David Damanik has authored 121 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 96 papers in Mathematical Physics, 50 papers in Statistical and Nonlinear Physics and 49 papers in Materials Chemistry. Recurrent topics in David Damanik's work include Spectral Theory in Mathematical Physics (73 papers), Quasicrystal Structures and Properties (48 papers) and Quantum chaos and dynamical systems (44 papers). David Damanik is often cited by papers focused on Spectral Theory in Mathematical Physics (73 papers), Quasicrystal Structures and Properties (48 papers) and Quantum chaos and dynamical systems (44 papers). David Damanik collaborates with scholars based in United States, Germany and China. David Damanik's co-authors include Daniel Lenz, Barry Simon, Rowan Killip, Anton Gorodetski, Serguei Tcheremchantsev, Alexander Pushnitski, Peter Stollmann, Günter Stolz, Robert Sims and Michael Baake and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Communications in Mathematical Physics.

In The Last Decade

David Damanik

115 papers receiving 1.4k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
David Damanik United States	22	988	554	503	465	282	121	1.5k
Svetlana Jitomirskaya United States	21	1.3k 1.3×	426 0.8×	772 1.5×	252 0.5×	321 1.1×	49	1.6k
Yoram Last Israel	20	1.0k 1.0×	332 0.6×	510 1.0×	197 0.4×	347 1.2×	38	1.3k
Pavel Kurasov Sweden	21	1.2k 1.2×	560 1.0×	643 1.3×	71 0.2×	240 0.9×	112	1.7k
Rowan Killip United States	27	1.5k 1.5×	222 0.4×	676 1.3×	60 0.1×	620 2.2×	66	1.8k
Artur Avila France	19	1.0k 1.0×	208 0.4×	682 1.4×	86 0.2×	184 0.7×	60	1.2k
B. S. Pavlov Russia	17	553 0.6×	307 0.6×	211 0.4×	104 0.2×	167 0.6×	93	992
Elisabetta Scoppola Italy	18	764 0.8×	171 0.3×	398 0.8×	195 0.4×	38 0.1×	47	1.1k
Lawrence E. Thomas United States	16	480 0.5×	156 0.3×	328 0.7×	55 0.1×	112 0.4×	46	937
Rupert L. Frank United States	23	1.3k 1.3×	754 1.4×	221 0.4×	38 0.1×	1.4k 4.9×	109	2.1k
Friedrich Gesztesy Austria	2	676 0.7×	260 0.5×	402 0.8×	44 0.1×	131 0.5×	2	1.0k

Countries citing papers authored by David Damanik

Since Specialization

Citations

This map shows the geographic impact of David Damanik's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by David Damanik with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites David Damanik more than expected).

Fields of papers citing papers by David Damanik

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by David Damanik. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by David Damanik. The network helps show where David Damanik may publish in the future.

Co-authorship network of co-authors of David Damanik

This figure shows the co-authorship network connecting the top 25 collaborators of David Damanik. A scholar is included among the top collaborators of David Damanik based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with David Damanik. David Damanik is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Damanik, David, et al.. (2025). Gap labels and asymptotic gap opening for full shifts. Journal of Spectral Theory. 15(3). 1383–1407.

Damanik, David & Long Li. (2025). Opening gaps in the spectrum of strictly ergodic Jacobi and CMV matrices. Journal of Functional Analysis. 289(12). 111182–111182.

Damanik, David, et al.. (2024). What is ballistic transport?. Journal of Spectral Theory. 1 indexed citations

Damanik, David, Yong Li, & Fei Xu. (2023). The quasi-periodic Cauchy problem for the generalized Benjamin-Bona-Mahony equation on the real line. Journal of Functional Analysis. 286(3). 110238–110238. 1 indexed citations

Damanik, David, et al.. (2023). The Schwartzman group of an affine transformation. Journal of Spectral Theory. 13(4). 1281–1296. 1 indexed citations

Damanik, David, et al.. (2023). Johnson–Schwartzman gap labelling for ergodic Jacobi matrices. Journal of Spectral Theory. 13(1). 297–318. 1 indexed citations

Damanik, David, et al.. (2023). Spectral characteristics of Schrödinger operators generated by product systems. Journal of Spectral Theory. 12(4). 1659–1718. 3 indexed citations

Damanik, David, et al.. (2022). One-Dimensional Ergodic Schrödinger Operators. Graduate studies in mathematics. 12 indexed citations

Damanik, David, et al.. (2022). Geometry, Dynamics and Spectrum of Operators on Discrete Spaces. Oberwolfach Reports. 18(1). 33–85. 1 indexed citations

10.

Li, Long, David Damanik, & Qi Zhou. (2022). Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients. Transactions of the American Mathematical Society. 375(9). 6093–6125. 2 indexed citations

11.

Damanik, David, et al.. (2022). The Almost Sure Essential Spectrum of the Doubling Map Model is Connected. Communications in Mathematical Physics. 400(2). 793–804. 3 indexed citations

12.

Damanik, David, et al.. (2022). Zero measure spectrum for multi-frequency Schrödinger operators. Journal of Spectral Theory. 12(2). 573–590. 1 indexed citations

13.

Damanik, David & Michael Goldstein. (2012). On the Existence of Global Solutions for the KdV Equation with Quasi-Periodic Initial Data. arXiv (Cornell University). 1 indexed citations

14.

Damanik, David & Serguei Naboko. (2006). Unbounded Jacobi matrices at critical coupling. Journal of Approximation Theory. 145(2). 221–236. 11 indexed citations

15.

Damanik, David & Daniel Lenz. (2005). Substitution dynamical systems: Characterization of linear repetitivity and applications. Journal of Mathematical Analysis and Applications. 321(2). 766–780. 17 indexed citations

16.

Damanik, David. (2004). Dynamical upper bounds for one-dimensional quasicrystals. Journal of Mathematical Analysis and Applications. 303(1). 327–341. 8 indexed citations

17.

Damanik, David, Robert Sims, & Günter Stolz. (2003). Localization for discrete one-dimensional random word models. Journal of Functional Analysis. 208(2). 423–445. 7 indexed citations

18.

Damanik, David & Daniel Lenz. (2002). The Index of Sturmian Sequences. European Journal of Combinatorics. 23(1). 23–29. 31 indexed citations

19.

Damanik, David, et al.. (2000). Palindrome complexity bounds for primitive substitution sequences. Discrete Mathematics. 222(1-3). 259–267. 18 indexed citations

20.

Damanik, David & Daniel Lenz. (1999). Half-line eigenfunction estimates and stability of singular continuous spectrum. arXiv (Cornell University). 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact