1 citations · 4 across the 12 of their papers we have counts for
15 papers
Dual-Inertial Bregman Methods with Energy-Based Safeguarding
Kangming Chen
We develop dual-inertial Bregman proximal methods for convex optimization and analyze their convergence through an exact signed-drift representation. For unrestarted iterations, on…
Riesz transform on eventually Gaussian local trees
Fabrice Baudoin, Aobo Chen, Li Chen
We study the Riesz transform on uniform local trees, metric measure spaces that are locally real trees and whose canonical Dirichlet form…
Riesz transforms on the Vicsek set
Fabrice Baudoin, Aobo Chen, Li Chen
We study Riesz and reverse Riesz inequalities for the fractional powers of the Laplacian on the unbounded Vicsek set. The space carries its Hausdorff measure . The gradient…
Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees
Fabrice Baudoin, Li Chen, Meng Yang
We study Sobolev and BV spaces on local trees which are metric spaces locally isometric to real trees. Such spaces are equipped with a Radon measure satisfying a locally uniform vo…
Weighted Besov spaces on Heisenberg groups and applications to the Parabolic Anderson model
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
This article aims at a proper definition and resolution of the parabolic Anderson model on Heisenberg groups . This stochastic PDE is understood in a pathwise (Stra…
Moment estimates for the stochastic heat equation on Cartan-Hadamard manifolds
Fabrice Baudoin, Hongyi Chen, Cheng Ouyang
We study the effect of curvature on the Parabolic Anderson model by posing it over a Cartan-Hadamard manifold. We first construct a family of noises white in time and colored in sp…
Extension method in Dirichlet spaces with sub-Gaussian estimates and applications to regularity of jump processes on fractals
Fabrice Baudoin, Quanjun Lang, Yannick Sire
We investigate regularity properties of some non-local equations defined on Dirichlet spaces equipped with sub-gaussian estimates for the heat kernel associated to the generator. W…
Parabolic Anderson model in bounded domains of recurrent metric measure spaces
Fabrice Baudoin, Li Chen, Che-Hung Huang +3
A metric measure space equipped with a Dirichlet form is called recurrent if its Hausdorff dimension is less than its walk dimension. In bounded domains of such spaces we study the…
Heat kernel gradient estimates for the Vicsek set
Fabrice Baudoin, Li Chen
We prove pointwise and gradient estimates for the heat kernel on the bounded and unbounded Vicsek set and applications to Sobolev inequalities are given. We also define a Hod…
Sobolev spaces and Poincaré inequalities on the Vicsek fractal
Fabrice Baudoin, Li Chen
In this paper we prove that several natural approaches to Sobolev spaces coincide on the Vicsek fractal. More precisely, we show that the metric approach of Korevaar-Schoen, the ap…
Oscillations of BV measures on nested fractals
Patricia Alonso Ruiz, Fabrice Baudoin
Motivated by recent developments in the theory of bounded variation functions on nested fractals, this paper studies the exact asymptotics of functionals related to the total varia…
Dirichlet fractional Gaussian fields on the Sierpinski gasket and their discrete graph approximations
Fabrice Baudoin, Li Chen
We define and study the Dirichlet fractional Gaussian fields on the Sierpinski gasket and show that they are limits of fractional discrete Gaussian fields defined on the sequence o…
-Poincaré inequalities on nested fractals
Fabrice Baudoin, Li Chen
We prove on some nested fractals scale invariant -Poincaré inequalities on metric balls in the range . Our proof is based on the development of the local -…
Besov class via heat semigroup on Dirichlet spaces III: BV functions and sub-Gaussian heat kernel estimates
Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3
With a view toward fractal spaces, by using a Korevaar-Schoen space approach, we introduce the class of bounded variation (BV) functions in a general framework of strongly local Di…
Upper bounds for the density of solutions of stochastic differential equations driven by fractional Brownian motions
Fabrice Baudoin, Cheng Ouyang, Samy Tindel
In this paper we study upper bounds for the density of solution of stochastic differential equations driven by a fractional Brownian motion with Hurst parameter H > 1/3. We show th…