20 citations · 50 across the 15 of their papers we have counts for
15 papers
The Yang-Mills measure on surfaces via Morse theory
Reda Chhaibi, Nguyen Viet Dang, Yannick Guedes Bonthonneau +2
We introduce a Morse theoretical approach to the construction of the Yang--Mills measure on the space of connections of a compact Riemannian surface. This provides a direct continu…
SAMCIRT: A Simultaneous Reconstruction and Affine Motion Compensation Technique for Four Dimensional Computed Tomography (4DCT)
Anh-Tuan Nguyen, Jens Renders, Khoi-Nguyen Nguyen +3
The majority of the recent iterative approaches in 4DCT not only rely on nested iterations, thereby increasing computational complexity and constraining potential acceleration, but…
Global harmonic analysis for on closed Riemannian manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
Following Parisi \& Wu's paradigm of stochastic quantization, we constructed in \cite{BDFT} a measure on an arbitrary closed, compact Riemannian manifold of dimension as…
measures on compact Riemannian -manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
We construct the measure on an arbitrary 3-dimensional compact Riemannian manifold without boundary as an invariant probability measure of a singular stochastic partial dif…
Degenerate J-flow on compact Kähler manifolds
Tat Dat Tô
In this note, we study a degenerate twisted J-flow on compact Kähler manifolds. We show that it exists for all time, it is unique and converges to a weak solution of a degenerate t…
Monge-Ampère equations on compact Hessian manifolds
Vincent Guedj, Tat Dat Tô
We consider degenerate Monge-Ampère equations on compact Hessian manifolds. We establish compactness properties of the set of normalized quasi-convex functions and show local and g…
Unified modelling of epidemics by coupled dynamics via Monte-Carlo Markov Chain algorithms
Frédéric Protin, Martel Jules, Duc Thang Nguyen +9
To forecast the time dynamics of an epidemic, we propose a discrete stochastic model that unifies and generalizes previous approaches to the subject. Viewing a given population of…
A fast and simple modification of Newton's method helping to avoid saddle points
Tuyen Trung Truong, Tat Dat To, Tuan Hang Nguyen +3
We propose in this paper New Q-Newton's method. The update rule is very simple conceptually, for example where , with $A_n=\n…
Stability and Hölder regularity of solutions to complex Monge-Ampère equations on compact Hermitian manifolds
Chinh H. Lu, Trong-Thuc Phung, Tât-Dat Tô
Let be a compact Hermitian manifold. We establish a stability result for solutions to complex Monge-Ampère equations with right-hand side in , . Using this we pro…
Convergence of the Hesse-Koszul flow on compact Hessian manifolds
Stéphane Puechmorel, Tat Dat Tô
We study the long time behavior of the Hesse-Koszul flow on compact Hessian manifolds. When the first affine Chern class is negative, we prove that the flow converges to the unique…
Viscosity solutions to parabolic complex Monge-Ampère equations
Hoang-Son Do, Giang Le, Tat Dat Tô
In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Ampère equations on a strongly pseudoconvex domain by the viscosity method. We extend the results i…
Convergence of the weak Kähler-Ricci Flow on manifolds of general type
Tat Dat Tô
We study the Kähler-Ricci flow on compact Kähler manifolds whose canonical bundle is big. We show that the normalized Kähler-Ricci flow has long time existence in the viscosity sen…
A viscosity approach to the Dirichlet problem for degenerate complex Hessian type equations
Slawomir Dinew, Hoang-Son Do, Tat Dat To
A viscosity approach is introduced for the Dirichlet problem associated to complex Hessian type equations on domains in $\C^n$. The arguments are modelled on the theory of viscosit…
Regularizing properties of Complex Monge-Ampère flows II: Hermitian manifolds
Tat Dat Tô
We prove that a general complex Monge-Ampère flow on a Hermitian manifold can be run from an arbitrary initial condition with zero Lelong number at all points. Using this property,…
Regularizing properties of Complex Monge-Ampère flows
Tat Dat Tô
We study the regularizing properties of complex Monge-Ampère flows on a Kähler manifold when the initial data are -psh functions with zero Lelong number at all points. W…