Repatriation and the Radical Redistribution of Art

Museums are home to millions of artworks and cultural artifacts, some of which have made their way to these institutions through unjust means. Some argue that these objects should be repatriated (i.e. returned to their country or culture of origin). However, these arguments face a series of philosophical challenges. In particular, repatriation, even if justified, is often portrayed as contrary to the aims and values of museums. However, in this paper, I argue that some of the very considerations museums appeal to in order to oppose repatriation claims can be turned on their heads and marshaled in favor of the practice. In addition to defending against objections to repatriation, this argument yields the surprising conclusion that the redistribution of cultural goods should be much more radical than is typically supposed

Environmental Heritage and the Ruins of the Future

We now have good reason to worry that many coastal cities will be flooded by the end of the century. How should we confront this possibility (or inevitability)? What attitudes should we adopt to impending inundation of such magnitude? In the case of place-loss due to anthropogenic climate change, I argue that there may ultimately be something fitting about letting go, both thinking prospectively, when the likelihood of preservation is bleak, and retrospectively, when we reflect on our inability to prevent destruction. I then explore some of the ethical complications of this response

The Ethics of Historic Preservation

This article draws together research from various sub-disciplines of philosophy to offer an overview of recent philosophical work on the ethics of historic preservation. I discuss how philosophers writing about art, culture, and the environment have appealed to historical significance in crafting arguments about the preservation of objects, practices, and places. By demonstrating how it relates to core themes in moral and political philosophy, I argue that historic preservation is essentially concerned with ethical issues

Solar Impact on Climate: Modeling the Coupling Between the Middle and the Lower Atmosphere

Solar variability influences the earth's atmosphere on different time scales. In particular, the impact of the 11-year solar cycle is of interest as it provides the major contribution to natural climate variability. Observations show clear 11-year variations in meteorological variables such as temperature or geopotential height from the upper atmosphere down to the troposphere and the earth's surface. In this paper the mechanisms will be discussed which are assumed to be responsible for the downward transfer of the solar signal within the atmosphere. These involve radiative, dynamical and chemical processes which have been studied in detail in model simulations and will be presented here

On Ecalle's and Brown's polar solutions to the double shuffle equations modulo products

Two explicit sets of solutions to the double shuffle equations modulo products were introduced by Ecalle and Brown respectively. We place the two solutions into the same algebraic framework and compare them. We find that they agree up to and including depth four but differ in depth five by an explicit solution to the linearized double shuffle equations with an exotic pole structure.Comment: 22 pages, final version, to appear in Kyushu J. Mat

Heterogeneous substitution systems revisited

Matthes and Uustalu (TCS 327(1-2):155-174, 2004) presented a categorical description of substitution systems capable of capturing syntax involving binding which is independent of whether the syntax is made up from least or greatest fixed points. We extend this work in two directions: we continue the analysis by creating more categorical structure, in particular by organizing substitution systems into a category and studying its properties, and we develop the proofs of the results of the cited paper and our new ones in UniMath, a recent library of univalent mathematics formalized in the Coq theorem prover.Comment: 24 page

Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation

We study a Lagrangian numerical scheme for solution of a nonlinear drift diffusion equation on an interval. The discretization is based on the equation's gradient flow structure with respect to the Wasserstein distance. The scheme inherits various properties of the continuous flow, like entropy monotonicity, mass preservation, metric contraction and minimum/maximum principles. As the main result, we give a proof of convergence in the limit of vanishing mesh size under a CFL-type condition. We also present results from numerical experiments.Comment: 28 pages, 6 figure

Long-time behavior of a finite volume discretization for a fourth order diffusion equation

We consider a non-standard finite-volume discretization of a strongly non-linear fourth order diffusion equation on the $d$-dimensional cube, for arbitrary $d \geq 1$. The scheme preserves two important structural properties of the equation: the first is the interpretation as a gradient flow in a mass transportation metric, and the second is an intimate relation to a linear Fokker-Planck equation. Thanks to these structural properties, the scheme possesses two discrete Lyapunov functionals. These functionals approximate the entropy and the Fisher information, respectively, and their dissipation rates converge to the optimal ones in the discrete-to-continuous limit. Using the dissipation, we derive estimates on the long-time asymptotics of the discrete solutions. Finally, we present results from numerical experiments which indicate that our discretization is able to capture significant features of the complex original dynamics, even with a rather coarse spatial resolution.Comment: 27 pages, minor change