12 citations · 27 across the 5 of their papers we have counts for
6 papers
Extension Technique for Functions of Diffusion Operators: a stochastic approach
Sigurd Assing, John Herman
It has recently been shown that complete Bernstein functions of the Laplace operator map the Dirichlet boundary condition of a related elliptic PDE to the Neumann boundary conditio…
Space-time coupled evolution equations and their stochastic solutions
John Herman, Ifan Johnston, Lorenzo Toniazzi
We consider a class of space-time coupled evolution equations (CEEs), obtained by a subordination of the heat operator. Our CEEs reformulate and extend known governing equations of…
Weak Moment Maps in Multisymplectic Geometry
Jonathan Herman
We introduce the notion of a weak (homotopy) moment map associated to a Lie group action on a multisymplectic manifold. We show that the existence/uniqueness theory governing these…
Existence and Uniqueness of Weak Homotopy Moment Maps
Jonathan Herman
In this paper we show that the classical results on the existence and uniqueness of moment maps in symplectic geometry generalize directly to weak homotopy moment maps in multisym-…
Noether's Theorem in Multisymplectic Geometry
Jonathan Herman
We extend Noether's theorem to the setting of multisymplectic geometry by exhibiting a correspondence between conserved quantities and continuous symmetries on a multi-Hamiltonian…
Noether's Theorem Under the Legendre Transform
Jonathan Herman
In this paper we demonstrate how the Legendre transform connects the statements of Noether's theorem in Hamiltonian and Lagrangian mechanics. We give precise definitions of symmetr…