Leonhard Frerick
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View article: A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents
A Ramsey-Type Equilibrium Model with Spatially Dispersed Agents Open
We present a spatial and time-continuous Ramsey-type equilibrium model for households and firms that interact on a spatial domain to model labor mobility in the presence of commuting costs. After discretization in space and time, we obtain…
A Fourier Integral Formula for Logarithmic Energy Open
A formula which expresses logarithmic energy of Borel measures on $$\mathbb {R}^n$$ in terms of the Fourier transforms of the measures is established and some applications are given. In addition, using similar techniques a (known) formula …
A Fourier Integral Formula for Logarithmic Energy Open
A formula which expresses logarithmic energy of Borel measures on R n in terms of the Fourier transforms of the measures is established and some applications are given. In addition, using similar techniques a (known) formula for Riesz ener…
A Fourier integral formula for logarithmic energy Open
A formula which expresses logarithmic energy of Borel measures on R^n in terms of the Fourier transforms of the measures is established and some applications are given. In addition, using similar techniques a (known) formula for Riesz ener…
The nonlocal Neumann problem Open
The classical local Neumann problem is well studied and solutions of this problem lie, in general, in a Sobolev space. In this work, we focus on nonlocal Neumann problems with measurable, nonnegative kernels, whose solutions require less r…
Complementarity Modeling of a Ramsey-Type Equilibrium Problem with Heterogeneous Agents Open
We contribute to the field of Ramsey-type equilibrium models with heterogeneous agents. To this end, we state such a model in a time-continuous and time-discrete form, which in the latter case leads to a finite-dimensional mixed complement…
Mixing operators with prescribed unimodular eigenvectors Open
For arbitrary closed countable subsets $Z$ of the unit circle examples of topologically mixing operators on Hilbert spaces are given which have a densely spanning set of unimodular eigenvectors with eigenvalues restricted to $Z$. In partic…
Mixing operators with non-perfectly spanning unimodular eigenvectors. Open
For arbitrary closed countable subsets $Z$ of the unit circle examples of topologically mixing operators on Hilbert spaces are given which have a densely spanning set of unimodular eigenvectors with eigenvalues restricted to $Z$. In partic…
The Nonlocal Ramsey Model for an Interacting Economy Open
The Ramsey model, first introduced by F. Ramsey in 1928, has become a cornerstone in the economic growth theory. Combined with the Solow model in the 1950s by the economists Cass (1965) and Koopmans (1965), it is still one of the most used…
Pareto-Optima for a Generalized Ramsey Model Open
We consider a Ramsey model with several households with heterogeneous preferences who are able to borrow capital to each other. Since the capital constraints of one household then depends on the others' capital, one can no longer optimize …
Whitney extension operators without loss of derivatives Open
For a compact set K\subseteq \mathbb R^d we characterize the existence of a linear extension operator E\colon \mathcal E(K) \to \mathcal C^\infty(\mathbb R^d) for the space of Whitney jets \mathcal E(K) without loss of derivatives, that is…
Diametral dimensions of Fréchet spaces Open
The diametral dimension is an important topological invariant in the category of Frechet spaces which has been used, e.g., to distinguish types of Stein manifolds. We introduce variants of the classical definition in order to solve an old …