46 citations · 120 across the 21 of their papers we have counts for
23 papers
Deformation of singular foliations, 1: Local deformation cohomology
Philippe Monnier, Nguyen Tien Zung
In this paper we introduce the notion of deformation cohomology for singular foliations and related objects (namely integrable differential forms and Nambu structures), and study i…
Normalization of singular contact forms and primitive 1-forms
Kai Jiang, Truong Hong Minh, Nguyen Tien Zung
A differential 1-form on a manifold of odd dimension , which satisfies the contact condition almost everywhere, but which vanishes at a point ,…
Second order stochastic differential models for financial markets
Nguyen Tien Zung
Using agent-based modelling, empirical evidence and physical ideas, such as the energy function and the fact that the phase space must have twice the dimension of the configuration…
Presymplectic convexity and (ir)rational polytopes
Tudor Ratiu, Nguyen Tien Zung
In this paper, we extend the Atiyah--Guillemin--Sternberg convexity theorem and Delzant's classification of symplectic toric manifolds to presymplectic manifolds. We also define an…
Galoisian obstructions to non-Hamiltonian integrability
Michael Ayoul, Nguyen Tien Zung
We show that the main theorem of Morales--Ramis--Simo about Galoisian obstructions to meromorphic integrability of Hamiltonian systems can be naturally extended to the non-Hamilton…
Kolmogorov condition near hyperbolic singularities of integrable Hamiltonian systems
Nguyen Tien Zung
In this paper we show that, if an integrable Hamiltonian system admits a nondegenerate hyperbolic singularity then it will satisfy the Kolmogorov condegeneracy condition near that…