Most of Ginzburg’s recent publications are available in the math preprint arXiv. Click on the preprint number for the abstracts and links to the PDF files of the papers. (Warning: preprint versions may differ slightly from published papers.)

• From barcode entropy to metric entropy, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2507.13215.
• Barcode growth for toric-integrable Hamiltonian systems, co-author: Erol Barut; Preprint arXiv:2503.08922.
• Closed orbits of dynamically convex Reeb flows: towards the HZ- and multiplicity conjectures, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2410.13093.
• On the barcode entropy of Reeb flows, co-authors: E. Cineli, B. Gurel and M. Mazzucchelli; Preprint arXiv:2401.01421. To appear in Selecta Math. (N.S.).
• Invariant sets and hyperbolic closed Reeb orbits, co-authors: E. Cineli, B. Gurel and M. Mazzucchelli; Preprint arXiv:2309.04576.
• Lower semi-continuity of Lagrangian volume, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2210.04357. Published. Israel J. Math., 2024, doi:10.48550/arXiv 2210.04357.
• Barcode entropy of geodesic flows, co-authors: B. Gurel and M. Mazzucchelli;
  Preprint arXiv:2212.00943. Published. J. Eur. Math. Soc. (JEMS), 2024, doi:10.4171/JEMS/1572.
• Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2111.03983. Published. Math. Z., Volume 308, 73 (2024), doi:10.1007/s00209-024-03627-0.
• On the growth of the Floer barcode, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2207.03613. Published. J. Mod. Dyn., 20 (2024), 275-298, doi:10.3934/jmd.2024007.
• On the generic behavior of the spectral norm, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2310.00470. Published. Pacific J. Math., 328 (2024), 119-135, doi:10.2140/pjm.2024.328-119.
• Pseudo-rotations vs. rotations, co-author: B. Gurel; Preprint arXiv:1812.05782. Published. J. London Math. Soc., (2022), doi:10.1112/jlms.12665.
• Another look at the Hofer-Zehnder conjecture, co-authors: E. Cineli and B. Gurel; Preprint arXiv:2009.13052. Published. J. Fixed Point Theory Appl., Claude Viterbo’s 60th Birthday Festschrift,, 24 (2022), doi:10.1007/s11784- 022-00937-w.
• On the spectral characterization of Besse and Zoll Reeb flows, co-authors: B. Gurel and M. Mazzucchelli; Preprint arXiv:1909.03310. Published. Annales de l’IHP. 38 (2021), 549-576.
• Dynamical convexity and closed orbits on symmetric spheres, co-author: L. Macarini; Preprint arXiv:1912.04882. Published. Duke. Math. J., 170 (2021), 1201-1250.
• Pseudo-rotations and holomorphic curves, co-authors: E. Cineli and B. Gurel; Preprint
  arXiv:1905.07567. Published. Selecta Math. 26 (2020), no. 5, paper no. 78, 31pp.
• From pseudo-rotations to holomorphic curves via quantum Steenrod squares, co-authors: E. Cineli and B. Gurel; Preprint arXiv:1909.11967. Published. Int. Math. Res. Not. IMRN, (2020), doi:10.1093/imrn/rnaa173.
• Lusternik-Schnirelmann theory and closed Reeb orbits, co-author: B. Gurel; Preprint arXiv:1601.03092. Published.  Math. Z. 295 (2020), no. 1-2, 515–582
• On the iterated Hamiltonian Floer homology, co-author: E. Cineli; Preprint
  arXiv:1902.06369. Published. Comm. Contemp. Math., (2020), doi:10.1142/S0219199720500261.
• Approximate identities and Lagrangian Poincare recurrence, co-author: B. Gurel; Preprint arXiv:1812.00299. Published. Arnold Math. J. 5 (2019), no. 1, 5–14.
• On the filtered symplectic homology of prequantization bundles, co-author: J. Shon; Preprint arXiv:1806.05705. Published. Internat. J. Math. (2018) DOI: 10.1142/S0129167X18500714.
• Hamiltonian pseudo-rotations of projective spaces, co-author: B. Gurel; Preprint
  arXiv:1712.09766. Published. Invent. Math. (2018) DOI: 10.1007/s00222-018-0818-9.
• Multiplicity of closed Reeb orbits on prequantization bundles, co-authors: B. Gurel, L. Macarini; Preprint arXiv:1703.04054. Published. Israel J. Math. (2018)
  DOI: 10.1007/s11856-018-1769-y.
• Conley conjecture revisited, co-author: B. Gurel; Preprint arXiv:1609.05592. Published.  Int. Math. Res. Notices IMRN, (2017), https://doi.org/10.1093/imrn/rnx137.
• Random chain complexes, co-author: D. Pasechnik; Preprintt arXiv:1602.08538. Published. Arnold Math. J., 3 (2017), 197-204.
• Higher Maslov indices, co-authors: R. Casals and F. Presas; Preprintt arXiv:1602.00571, Published.  Journal of Geometry and Physics, 115 (2017), 167-177.
• Non-contractible periodic orbits in Hamiltonian dynamics on closed symplectic manifolds, co-author: B. Gurel; Preprint arXiv:1503.07145. Published. Compos. Math., 152 (2016), 1777-1799.
• A remark on unique ergodicity and the contact type condition, co-author:
  C. Niche; Preprint arXiv:1507.03147. Published. Archiv der Mathematik, 105 (2015), 585-592.
• The Conley conjecture and beyond, co-author: B. Gurel; Preprint arXiv:1411.7723. Published. Arnold Math J., 1 (2015), 299-337.
• Fragility and persistence of leafwise intersections, co-author: B. Gurel; Preprint arXiv:1409.7746. Published. Math. Z., 280 (2015) 989-1004.
• On the Conley conjecture for Reeb flows, co-authors: B. Gurel, L. Macarini; Preprint arXiv:1407.1773. Published. Internat. J. Math., 26 (2015), 1550047 (22 pages); doi:10.1142/S0129167X15500470.
• Iterated index and the mean Euler characterstic, co-author: Y. Goren; Preprint arXiv:1311.0547. Published. J. Topol. Anal., 7 (2015), 453-481.
• Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms, co-author: B. Gurel; Preprint arXiv:1208.1733. Published. Duke Math. J., 163 (2014), 565-590.
• My contact homology shopping list, Preprint 2014 (not for journal publication), Preprint arXiv:1412.7999
• Closed Reeb orbits on the sphere and symplectically degenerate maxima, co-authors: D. Hein, U.L. Hryniewicz, L. Macarini; Preprint arXiv:1210.5037. Published. Acta Math. Vietnam., 38 (2013), no. 1, 55-78.
• Action-index relations for perfect Hamiltonian diffeomorphisms, co-authors: M. Chance and B. Gurel;; Preprint arXiv:1110.6728. Published. J. Sympl. Geom., 11 (2013),449-474.
• Arnold conjecture for Clifford symplectic pencils, co-author: D. Hein; Preprint arXiv:1110.0529. Published. Israel J. Math., 196 (2013), no. 1, 95-112.
• Hyperkahler Arnold conjecture and its generalizations, co-author: D. Hein; Preprint arXiv:1105.0874. Published. Internat. J. Math., 23 (2012), no. 8, 125077 (15 pages).
• Conley conjecture for negative monotone symplectic manifolds, co-author B. Gurel; Preprint arXiv:1011.5018. Published. Int. Math. Res. Notices IMRN, 2011, doi:
  10.1093/imrn/rnr081.
• On the Maslov class rigidity for coisotropic submanifolds, Preprint arXiv:0910.5037. Published. Pacific J. Math. 250 (2011), 139-161.
• Homological resonances for Hamiltonian diffeomorphisms and Reeb flows, co-author: E. Kerman; Preprint arXiv:0901.4644. Published. Int. Math. Res. Not. IMRN, 2010, no. 1, 53–68.
• Local Floer homology and the action gap, co-author: B. Gurel; Preprint arXiv:0709.4077. Published. J. Sympl. Geom., 8 (2010), 323-357.
• The Conley conjecture, Preprint 2006, math.SG/0610956. Published: Ann. of Math., 172 (2010), 1127-1180.
• Action and index spectra and periodic orbits in Hamiltonian dynamics, co-author: B. Gurel; Preprint arXiv:0810.5170. Published. Geom. Topol., 13 (2009), 2745-2805.
• On the generic existence of periodic orbits in Hamiltonian dynamics,
  co-author: B. Gurel; Preprint arXiv:0908.3286. Published: J. Mod. Dyn., 4 (2009), 595-610.
• Periodic orbits of twisted geodesic flows and the Weinstein-Moser theorem, co-author: B. Gurel; Preprint arXiv:0705.1818. Published. Comment. Math. Helv., 84 (2009), 865-907.
• The generalized Weinstein-Moser theorem, co-author: B. Gurel. Published. ERA-MS, 14 (2007), 20-29.
• Coisotropic intersections, Preprint 2006, math.SG/0605186. Published. Duke Math. J.,140 (2007), 111-163.
• Energy capacity inequalities via an action selector, co-authors: U. Frauenfelder and F. Schlenk; Preprint 2004, math.DG/0402404. In Geometry, Spectral Theory, and Dynamics; Proceedings in Memory of Robert Brooks, Eds.: M. Entov et al, Contemporary Mathematics, vol. 387, AMS, 2005; pp.129-152.
• The Weinstein conjecture and the theorems of nearby and almost
  existence, Preprint 2003, math.DG/0310330. In The Breadth of Symplectic and Poisson Geometry. Festschrift in Honor of Alan Weinstein, Eds.: J.E. Marsden and T.S. Ratiu, Birkhauser, 2005, pp. 139-172.
• Symplectic homology and periodic orbits near symplectic submanifolds,
  co-authors: K. Cieliebak and E. Kerman; Preprint 2002, math.DG/0210468.
  Published. Comment. Math. Helv. 79 (2004), 554-581.
• Existence of relative periodic orbits near relative equilibria, co-author: E. Lerman; Preprint 2004, math.SG/0402264. Published. Math. Res. Lett., 11 (2004), 397-412.
• Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles, co-author: B. Gurel; Preprint 2003, math.DG/0301073. Published. Duke Math. J., 123 (2004), 1-47.
• Comments to some of Arnold’s problems (1981-9 and related problems and 1994-13), in Arnold’s problems, Ed.: V.I. Arnold, Springer–Verlag and Phasis, 2004; pp. 395–401, 557–558.
  • Motion of a charge in a magnetic field (1981-9 and related problems): PDF.
  • The Legendrian Seifert conjecture (1994-13): PDF.
• A C²-smooth counterexample to the Hamiltonian Seifert conjecture in R⁴, co-author: B. Gurel; Preprint 2001, math.DG/0110047. Published. Ann. of Math. 158 (2003), 953-976.
• Cobordisms and Hamiltonian group actions, co-authors: V. Guillemin and Y. Karshon. Mathematical Surveys and Monographs, vol. 98. American Mathematical Society, 2002; AMS bookstore.
• On the construction of a C²-counterexample to the Hamiltonian Seifert conjecture in R⁴, co-author: B. Gurel; Preprint 2001, math.DG/0109153. Published: Electron. Res. Announc. Amer. Math. Soc, 8 (2002), 11-19.
• Periodic orbits of Hamiltonian flows near symplectic extrema, co-author: E. Kerman; Preprint 2000, math.DG/0011011. Published: Pacific J. Math., 206 (2002), 69-91.
• Grothendieck groups of Poisson vector bundles, Preprint 2000, math.DG/0009124. Published. J. Sympl. Geom.,1 (2001), 121-169.
• The Hamiltonian Seifert conjecture: examples and open problems, Preprint 2000, math.DG/0004020. In Proceedings of the Third European Congress of Mathematics Barcelona, 2000; Birkhauser, Progress in Mathematics, 202 (2001), vol. II, pp. 547-555.
• Holonomy on Poisson manifolds and the modular class, co-author: A. Golubev; Preprint 1998, math.DG/9812153. Published. Israel J. Math., 122 (2001), 221-242.
• Geometric quantization and no go theorems, co-author: R. Montgomery; Preprint 1997, math.DG/9703010. Published. Banach Center Publications, 51 (2000), 69-77.
• Assignments and abstract moment maps, co-authors: V. Guillemin and Y. Karshon; Preprint 1999, math.DG/9904117. Published. J. Differential Geom., 52 (1999), 259-301.
• Equivariant Poisson cohomology and a spectral sequence associated with
  a moment map, Preprint 1996, math.DG/9611002. Int. J. Math., 10 (1999), 977-1010.
• Hamiltonian dynamical systems without periodic orbits, Preprint 1998, math.DG/9811014. In Northern California Symplectic Geometry Seminar; Ed.: Y. Eliashberg et al.; Amer. Math. Soc. Transl., (2) 196 (1999), 35-48.
• Periodic orbits in magnetic fields in dimensions greater than two, co-author: E. Kerman; Preprint 1999, math.DG/9902148. In Geometry and Topology in Dynamics, Ed.: M. Barge and K. Kuperberg; Publ. of AMS, Cont. Math. Series, 246 (1999), 113-121.
• The relation between compact and non-compact equivariant cobordisms, co-authors: V. Guillemin and Y. Karshon; Preprint 1998, math.DG/9810101. In Proceedings of the International Workshop on Topology, Ed.: M. Farber, W. Lueck, S. Weinberger; Publ. of AMS, Cont. Math. Series, 231 (1999), 99-112.
• A smooth counterexample to the Hamiltonian Seifert conjecture in R⁶, Preprint 1997, math.DG/9703006. Int. Math. Res. Not. IMRN, 1997, no. 13, 642-650.
• Cobordism theory and localization formula for Hamiltonian group actions, co-authors: V. Guillemin and Y. Karshon; Preprint 1996, math.DG/9601003. Int. Math. Res. Not. IMRN, 1996, no. 5, 222-234
• On the existence and non-existence of closed trajectories for some Hamiltonian flows, Math. Z., 223 (1996), 397-409.
• Momentum mappings and Poisson cohomology, Int. J. Math.,7 (1996), 329-358.
• On closed trajectories of a charge in a magnetic field. An application of symplectic geometry, In Contact and Symplectic Geometry, Ed.: C.B. Thomas, INI Publications, Cambridge University Press, Cambridge, 1996, 131-148.
• An embedding S^2n-1->R²ⁿ, 2n – 1>=7, whose Hamiltonian flow has no periodic trajectories, Int. Math. Res. Not. IMRN, 1995, no. 2, 83-98.
• Steady fluid flows and symplectic geometry, co-author: B. Khesin.J. Geom. Phys., 14 (1994), 195-210.
• Calculation of contact and symplectic cobordism groups, Topology, 31 (1992), 767-773.
• Poisson cohomology of Morita equivalent Poisson manifolds, co-author: J. H. Lu. Int. Math. Res. Not. IMRN, 10 (1992), 199-205.
• Review of the book “The topology of torus actions on symplectic manifolds” by M. Audin, Bull. Amer. Math. Soc. (new series), 27 (1992), 315-320.
• Topology of steady fluid flows, co-author: B. Khesin. In Topological Aspects of the Dynamics of Fluids and Plasmas, Ed.: H. K. Moffat et al., 1992, Kluwer Academic Publishers, 265-272.
• Some remarks on symplectic actions of compact groups, Math. Z., 210 (1992), 625-640.
• Lie-Poisson structure on some Poisson Lie groups, co-author: A. Weinstein. J. Amer. Math. Soc. 5 (1992), 445-453.
• On closed characteristics of 2-forms, Ph.D. Thesis, UC Berkeley,1990.
• Cobordisms of contact and symplectic manifolds, Funct. Anal. Appl., 23 (1989), no. 2, 106-110.
• On closed characteristics of 2-form, Russ. Math. Surveys, 43 (1988), no. 5, 225-226.
• New generalizations of Poincare’s geometric theorem, Funct. Anal. Appl., 21 (1987), no. 2, 100-106.
• On the number of inverse images of a point for continuous maps, Russ. Math. Survey, 41 (1986), no. 2, 195-196.