On the growth of the Floer barcode
E Cineli, VL Ginzburg, BZ Gurel - arXiv preprint arXiv:2207.03613, 2022 - arxiv.org
This paper is a follow up to the authors' recent work on barcode entropy. We study the
growth of the barcode of the Floer complex for the iterates of a compactly supported …
growth of the barcode of the Floer complex for the iterates of a compactly supported …
A Hölder-Type Inequality for the C0 Distance and Anosov–Katok Pseudo-Rotations
D Joksimović, S Seyfaddini - … Mathematics Research Notices, 2024 - academic.oup.com
We prove a Hölder-type inequality for Hamiltonian diffeomorphisms relating the norm, the
norm of the derivative, and the Hofer/spectral norm. We obtain as a consequence that …
norm of the derivative, and the Hofer/spectral norm. We obtain as a consequence that …
Contact three-manifolds with exactly two simple Reeb orbits
It is known that every contact form on a closed three-manifold has at least two simple Reeb
orbits, and a generic contact form has infinitely many. We show that if there are exactly two …
orbits, and a generic contact form has infinitely many. We show that if there are exactly two …
Invariant sets and hyperbolic closed Reeb orbits
E Cineli, VL Ginzburg, BZ Gurel… - arXiv preprint arXiv …, 2023 - arxiv.org
We investigate the effect of a hyperbolic (or, more generally, isolated as an invariant set)
closed Reeb orbit on the dynamics of a Reeb flow on the $(2n-1) $-dimensional standard …
closed Reeb orbit on the dynamics of a Reeb flow on the $(2n-1) $-dimensional standard …
Pseudo-rotations and holomorphic curves
E Çineli, VL Ginzburg, BZ Gürel - Selecta Mathematica, 2020 - Springer
We prove a variant of the Chance–McDuff conjecture for pseudo-rotations: under certain
additional conditions, a closed symplectic manifold which admits a Hamiltonian pseudo …
additional conditions, a closed symplectic manifold which admits a Hamiltonian pseudo …
A generalized pseudo-rotation with positive topological entropy
E Cineli - arXiv preprint arXiv:2310.14761, 2023 - arxiv.org
In this note we give examples of Hamiltonian diffeomorphisms which are on one hand
dynamically complicated, for instance with positive topological entropy, and on the other …
dynamically complicated, for instance with positive topological entropy, and on the other …
The strong closing lemma and Hamiltonian pseudo-rotations
E Cineli, S Seyfaddini - arXiv preprint arXiv:2210.00771, 2022 - arxiv.org
arXiv:2210.00771v2 [math.SG] 13 Feb 2023 Page 1 arXiv:2210.00771v2 [math.SG] 13 Feb
2023 THE STRONG CLOSING LEMMA AND HAMILTONIAN PSEUDO-ROTATIONS ERMAN Ç …
2023 THE STRONG CLOSING LEMMA AND HAMILTONIAN PSEUDO-ROTATIONS ERMAN Ç …
Spectral invariants over the integers
Y Kawamoto, E Shelukhin - arXiv preprint arXiv:2310.19033, 2023 - arxiv.org
Spectral invariants are quantitative measurements in symplectic topology coming from Floer
homology theory. We study their dependence on the choice of coefficients in the context of …
homology theory. We study their dependence on the choice of coefficients in the context of …
On the generic behavior of the spectral norm
E Cineli, VL Ginzburg, BZ Gürel - Pacific J. Math, 2024 - msp.org
Çineli is supported by ERC Starting Grant 851701 via a postdoctoral fellowship. Ginzburg is
supported by NFS grant DMS-2304206 and Simons Foundation Travel Support MP-TSM …
supported by NFS grant DMS-2304206 and Simons Foundation Travel Support MP-TSM …
Pseudo‐Rotations versus Rotations
VL Ginzburg, BZ Gürel - Journal of the London Mathematical …, 2022 - Wiley Online Library
Continuing the study of Hamiltonian pseudo‐rotations of projective spaces, we focus on the
conjecture that the fixed‐point data set (the actions and the linearized flows at one‐periodic …
conjecture that the fixed‐point data set (the actions and the linearized flows at one‐periodic …