Martin Lustig

1.2k total citations
43 papers, 461 citations indexed

About

Martin Lustig is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Martin Lustig has authored 43 papers receiving a total of 461 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Geometry and Topology, 33 papers in Mathematical Physics and 15 papers in Computational Theory and Mathematics. Recurrent topics in Martin Lustig's work include Geometric and Algebraic Topology (34 papers), Mathematical Dynamics and Fractals (18 papers) and semigroups and automata theory (13 papers). Martin Lustig is often cited by papers focused on Geometric and Algebraic Topology (34 papers), Mathematical Dynamics and Fractals (18 papers) and semigroups and automata theory (13 papers). Martin Lustig collaborates with scholars based in France, Germany and Israel. Martin Lustig's co-authors include Gilbert Levitt, Yoav Moriah, Marshall M. Cohen, Ilya Kapovich, Damien Gaboriau, Michael Cohen, Goulnara Arzhantseva, José Burillo, Enric Ventura and Hamish Short and has published in prestigious journals such as Inventiones mathematicae, Advances in Mathematics and Duke Mathematical Journal.

In The Last Decade

Martin Lustig

42 papers receiving 387 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Martin Lustig France	14	433	366	134	106	38	43	461
Frédéric Haglund France	8	388 0.9×	316 0.9×	110 0.8×	100 0.9×	37 1.0×	14	421
Bert Wiest France	10	255 0.6×	183 0.5×	96 0.7×	75 0.7×	12 0.3×	24	296
Yoshiyuki Yokota Japan	12	316 0.7×	208 0.6×	64 0.5×	141 1.3×	23 0.6×	25	327
Sergei Chmutov United States	10	297 0.7×	163 0.4×	91 0.7×	204 1.9×	11 0.3×	24	351
José María Montesinos-Amilibia Spain	10	245 0.6×	197 0.5×	43 0.3×	83 0.8×	51 1.3×	37	307
Mark Feighn United States	13	707 1.6×	570 1.6×	236 1.8×	183 1.7×	72 1.9×	25	741
Zlil Sela Israel	15	711 1.6×	568 1.6×	241 1.8×	198 1.9×	45 1.2×	21	756
Andreĭ Vesnin Russia	12	399 0.9×	224 0.6×	81 0.6×	159 1.5×	72 1.9×	72	443
Nathan M. Dunfield United States	9	289 0.7×	236 0.6×	50 0.4×	99 0.9×	17 0.4×	17	312
Klaus Johannson Germany	5	380 0.9×	270 0.7×	74 0.6×	101 1.0×	84 2.2×	8	409

Countries citing papers authored by Martin Lustig

Since Specialization

Citations

This map shows the geographic impact of Martin Lustig'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 Martin Lustig with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Martin Lustig more than expected).

Fields of papers citing papers by Martin Lustig

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Martin Lustig. 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 Martin Lustig. The network helps show where Martin Lustig may publish in the future.

Co-authorship network of co-authors of Martin Lustig

This figure shows the co-authorship network connecting the top 25 collaborators of Martin Lustig. A scholar is included among the top collaborators of Martin Lustig 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 Martin Lustig. Martin Lustig is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Lustig, Martin, et al.. (2024). Measure transfer and S-adic developments for subshifts. Ergodic Theory and Dynamical Systems. 1–35.

Lustig, Martin, et al.. (2017). North–South dynamics of hyperbolic free group automorphisms on the space of currents. Journal of Topology and Analysis. 11(2). 427–466. 5 indexed citations

Lustig, Martin, et al.. (2015). Index realization for automorphisms of free groups. Illinois Journal of Mathematics. 59(4). 2 indexed citations

Lustig, Martin, et al.. (2015). Long turns, INP’s and indices for free group automorphisms. Illinois Journal of Mathematics. 59(4). 2 indexed citations

Kapovich, Ilya & Martin Lustig. (2010). Domains of proper discontinuity on the boundary of Outer space. Illinois Journal of Mathematics. 54(1). 4 indexed citations

Lustig, Martin & Yoav Moriah. (2008). High distance Heegaard splittings via fat train tracks. Topology and its Applications. 156(6). 1118–1129. 3 indexed citations

Arzhantseva, Goulnara, et al.. (2008). Testing Cayley graph densities. Annales mathématiques Blaise Pascal. 15(2). 233–286. 4 indexed citations

Lustig, Martin, et al.. (2007). Non-unique ergodicity, observers' topology and the dual algebraic lamination for $\Bbb R$-trees. Illinois Journal of Mathematics. 51(3). 14 indexed citations

Lustig, Martin & Yoav Moriah. (2004). A finiteness result for Heegaard splittings. Topology. 43(5). 1165–1182. 6 indexed citations

10.

Arzhantseva, Goulnara, et al.. (2004). Uniform non-amenability. Advances in Mathematics. 197(2). 499–522. 23 indexed citations

11.

Lustig, Martin, et al.. (2004). Relative hyperbolization of (one-ended hyperbolic)-by-cyclic groups. Mathematical Proceedings of the Cambridge Philosophical Society. 137(3). 595–611. 3 indexed citations

12.

Lustig, Martin & Yoav Moriah. (2000). Manifolds with irreducible Heegaard splittings of high genus. Topology. 39(3). 589–618. 7 indexed citations

13.

Cohen, Michael & Martin Lustig. (1999). The conjugacy problem for Dehn twist automorphisms of free groups. Commentarii Mathematici Helvetici. 74(2). 179–200. 10 indexed citations

14.

Lustig, Martin & Yoav Moriah. (1999). Closed incompressible surfaces in complements of wide knots and links. Topology and its Applications. 92(1). 1–13. 15 indexed citations

15.

Gaboriau, Damien, Gilbert Levitt, & Martin Lustig. (1998). A dendrological proof of the Scott conjecture for automorphisms of free groups. Proceedings of the Edinburgh Mathematical Society. 41(2). 325–332. 10 indexed citations

16.

Lustig, Martin & Yoav Moriah. (1997). On the complexity of the Heegaard structure of hyperbolic 3-manifolds. Mathematische Zeitschrift. 226(3). 349–358. 6 indexed citations

17.

Boileau, Michel, Martin Lustig, & Yoav Moriah. (1994). Links with super-additive tunnel number. Mathematical Proceedings of the Cambridge Philosophical Society. 115(1). 85–95. 1 indexed citations

18.

Lustig, Martin & Yoav Moriah. (1993). Generating Systems of Groups and Reidemeister-Whitehead Torsion. Journal of Algebra. 157(1). 170–198. 12 indexed citations

19.

Lustig, Martin & Yoav Moriah. (1993). Generalized Montesinos knots, tunnels andN-torsion. Mathematische Annalen. 295(1). 167–189. 14 indexed citations

20.

Lustig, Martin & Yoav Moriah. (1991). Nielsen equivalence in fuchsian groups and seifert fibered spaces. Topology. 30(2). 191–204. 21 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.

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