191 citations · 479 across the 26 of their papers we have counts for
29 papers
Moment problem for algebras generated by a nuclear space
Maria Infusino, Salma Kuhlmann, Tobias Kuna +1
We establish a criterion for the existence of a representing Radon measure for linear functionals defined on a unital commutative real algebra , which we assume to be generated…
Linear and fractional response for nonlinear dissipative SPDEs
Giulia Carigi, Tobias Kuna, Jochen Bröcker
A framework to establish response theory for a class of nonlinear stochastic partial differential equations (SPDEs) is provided. More specifically, it is shown that for a certain c…
An intrinsic characterization of moment functionals in the compact case
Maria Infusino, Salma Kuhlmann, Tobias Kuna +1
We consider the class of all linear functionals on a unital commutative real algebra that can be represented as an integral w.r.t. to a Radon measure with compact support i…
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model
Giulia Carigi, Jochen Bröcker, Tobias Kuna
Ergodic properties of a stochastic medium complexity model for atmosphere and ocean dynamics are analysed. More specifically, a two-layer quasi-geostrophic model for geophysical fl…
Exponential stability and asymptotic properties of the optimal filter for signals with deterministic hyperbolic dynamics
Lea Oljača, Tobias Kuna, Jochen Bröcker
The problem of stability of the optimal filter is revisited. The optimal filter (or filtering process) is the conditional probability of the current state of some stochastic proces…
Lagrange inversion and combinatorial species with uncountable color palette
Sabine Jansen, Tobias Kuna, Dimitrios Tsagkarogiannis
We prove a multivariate Lagrange-Good formula for functionals of uncountably many variables and investigate its relation with inversion formulas using trees. We clarify the cancell…