We review recent contributions on nonlinear Dirichlet forms. Then, we specialise to the case of 2-homogeneous and local forms. Inspired by the theory of Finsler manifolds and metric measure spaces, we establish new properties of such nonlinear Dirichlet forms, which are reminiscent of differential calculus formulae
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric a...
We construct and analyze the Jacobi process – in mathematical biology referred to as Wright–Fisher d...
In univariate settings, we prove a strong reinforcement of the energy image density criterion for lo...
We introduce a new notions of strongly local nonlinear Dirichlet form. we prove thet the energy of t...
We analyse the class of convex functionals $\mathcal E$ over $\mathrm{L}^2(X,m)$ for a measure space...
The aim of this paper is to provide new characterizations of the curvature dimension condition in th...
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. F...
The theory of Dirichlet forms brings together methods and insights from the calculus of variations, ...
AbstractWe study perturbations Eμ≔E+Qu of Dirichlet forms E on some L2 space L2(m) given by quadrati...
This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus t...
Abstract Given a regular, strongly local Dirichlet form E, under the lower bound of the Ricci curvat...
We consider a measure valued map α(u) defined on D where D is a subspace of L^p(X,m) with X a l...
In this thesis, we discuss three topics on Dirichlet forms and non-symmetric Markov processes. F...
This thesis studies some qualitative properties of local weak solutions of the heat equation in Diri...
AbstractLet E be a regular, strongly local Dirichlet form on L2(X,m) and d the associated intrinsic ...
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric a...
We construct and analyze the Jacobi process – in mathematical biology referred to as Wright–Fisher d...
In univariate settings, we prove a strong reinforcement of the energy image density criterion for lo...
We introduce a new notions of strongly local nonlinear Dirichlet form. we prove thet the energy of t...
We analyse the class of convex functionals $\mathcal E$ over $\mathrm{L}^2(X,m)$ for a measure space...
The aim of this paper is to provide new characterizations of the curvature dimension condition in th...
We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. F...
The theory of Dirichlet forms brings together methods and insights from the calculus of variations, ...
AbstractWe study perturbations Eμ≔E+Qu of Dirichlet forms E on some L2 space L2(m) given by quadrati...
This paper is devoted to a deeper understanding of the heat flow and to the refinement of calculus t...
Abstract Given a regular, strongly local Dirichlet form E, under the lower bound of the Ricci curvat...
We consider a measure valued map α(u) defined on D where D is a subspace of L^p(X,m) with X a l...
In this thesis, we discuss three topics on Dirichlet forms and non-symmetric Markov processes. F...
This thesis studies some qualitative properties of local weak solutions of the heat equation in Diri...
AbstractLet E be a regular, strongly local Dirichlet form on L2(X,m) and d the associated intrinsic ...
This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric a...
We construct and analyze the Jacobi process – in mathematical biology referred to as Wright–Fisher d...
In univariate settings, we prove a strong reinforcement of the energy image density criterion for lo...