Regulacja górnictwa kosmicznego w polskiej ustawie o działalności kosmicznej

Work on the content of the law on space activities has been going in Poland for several years. So far, the drafters have not directly referred to the issue of space mining in the content of the proposed legal act. In this context, it is worth asking whether it is valuable and permissible, in terms of international space law and EU law, to regulate in the future (Polish) law on space activity the matter of prospecting, acquiring and using space resources, i.e. so-called space mining. If space mining were regulated in the Polish space law, Poland would not be the first country to do so. The discussed issues have already been regulated in the national space legislation of the USA, Luxemburg, UAE and Japan. This paper will analyze the issues of space mining as expressed in the current drafts of the Polish space law and foreign space legislation, of space mining as a means of achieving various goals and of the compatibility of space mining with international space law and EU law.

A Central Limit Theorem for Predictive Distributions

Let S be a Borel subset of a Polish space and F the set of bounded Borel functions f:S→R. Let an(·)=P(Xn+1∈·∣X1,…,Xn) be the n-th predictive distribution corresponding to a sequence (Xn) of S-valued random variables. If (Xn) is conditionally identically distributed, there is a random probability measure μ on S such that ∫fdan⟶a.s.∫fdμ for all f∈F. Define Dn(f)=dn∫fdan−∫fdμ for all f∈F, where dn>0 is a constant. In this note, it is shown that, under some conditions on (Xn) and with a suitable choice of dn, the finite dimensional distributions of the process Dn=Dn(f):f∈F stably converge to a Gaussian kernel with a known covariance structure. In addition, Eφ(Dn(f))∣X1,…,Xn converges in probability for all f∈F and φ∈Cb(R).

“Incurable Megalomania” and “Fantasies of Expansion”: The German Army Reimagines Empire in Occupied Poland, 1915–1918

Plans for a Polish “border strip” are frequently cited to argue that the German army entered the First World War committed to pacifying conquered space through Germanization. This article contends that, in 1914, the German officer corps did not understand national homogeneity as essential for imperial security. Many influential officers insisted that Polish identity was compatible with German imperial loyalty. They supported a multinational imperial model, proposing to trade Poland its cultural and political autonomy for the acceptance of German suzerainty in foreign policy and military command. The army's preference for Germanizing space developed during the occupation of Russian Poland, as officers learned to conflate diversity with imperial fragility. Only a series of political crises after 1916 shifted military opinion against multinational imperialism. Increasingly convinced that Poland would betray the German Empire, some officers abandoned multinationalism. Others revised their plans to contain Poland and fortify Germany by annexing and Germanizing Polish space.

Predictive Constructions Based on Measure-Valued Pólya Urn Processes

Measure-valued Pólya urn processes (MVPP) are Markov chains with an additive structure that serve as an extension of the generalized k-color Pólya urn model towards a continuum of possible colors. We prove that, for any MVPP (μn)n≥0 on a Polish space X, the normalized sequence (μn/μn(X))n≥0 agrees with the marginal predictive distributions of some random process (Xn)n≥1. Moreover, μn=μn−1+RXn, n≥1, where x↦Rx is a random transition kernel on X; thus, if μn−1 represents the contents of an urn, then Xn denotes the color of the ball drawn with distribution μn−1/μn−1(X) and RXn—the subsequent reinforcement. In the case RXn=WnδXn, for some non-negative random weights W1,W2,…, the process (Xn)n≥1 is better understood as a randomly reinforced extension of Blackwell and MacQueen’s Pólya sequence. We study the asymptotic properties of the predictive distributions and the empirical frequencies of (Xn)n≥1 under different assumptions on the weights. We also investigate a generalization of the above models via a randomization of the law of the reinforcement.

The Family of Central Cantor Sets with Packing Dimension Zero

As in the recent article of M. Balcerzak, T. Filipczak and P. Nowakowski, we identify the family CS of central Cantor subsets of [0, 1] with the Polish space X : = (0, 1)ℕ equipped with the probability product measure µ. We investigate the size of the family P 0 of sets in CS with packing dimension zero. We show that P 0 is meager and of µ measure zero while it is treated as the corresponding subset of X. We also check possible inclusions between P 0 and other subfamilies CS consisting of small sets.

Causal variational principles in the infinite-dimensional setting: Existence of minimizers

We provide a method for constructing (possibly non-trivial) measures on non-locally compact Polish subspaces of infinite-dimensional separable Banach spaces which, under suitable assumptions, are minimizers of causal variational principles in the non-locally compact setting. Moreover, for non-trivial minimizers the corresponding Euler–Lagrange equations are derived. The method is to exhaust the underlying Banach space by finite-dimensional subspaces and to prove existence of minimizers of the causal variational principle restricted to these finite-dimensional subsets of the Polish space under suitable assumptions on the Lagrangian. This gives rise to a corresponding sequence of minimizers. Restricting the resulting sequence to countably many compact subsets of the Polish space, by considering the resulting diagonal sequence, we are able to construct a regular measure on the Borel algebra over the whole topological space. For continuous Lagrangians of bounded range, it can be shown that, under suitable assumptions, the obtained measure is a (possibly non-trivial) minimizer under variations of compact support. Under additional assumptions, we prove that the constructed measure is a minimizer under variations of finite volume and solves the corresponding Euler–Lagrange equations. Afterwards, we extend our results to continuous Lagrangians vanishing in entropy. Finally, assuming that the obtained measure is locally finite, topological properties of spacetime are worked out and a connection to dimension theory is established.

Studium marginalizacji – Andrzej Drawicz w polskiej przestrzeni opinii o Rosji

The aim of the article is to show the evolution of structural divisions within Polish elites from the perspective of changes in Polish-Russian relations after 1989. In order to describe the formation of the Polish space of opinion on the topic, the author interprets the unexpected marginalization of the famous Russian expert Andrzej Drawicz (1939–1997) in the Third Polish Republic. The article contributes to an understanding of the dynamics shaping Polish debates about Russia, and also – by tracing Drawicz’s career trajectory – presents a model of biographical analysis that allows the social dimension to be taken into account.

On the geometric ergodicity for a generalized IFS with probabilities

Main goal of this paper is to formulate possibly simple and easy to verify criteria on existence of the unique attracting probability measure for stochastic process induced by generalized iterated function systems with probabilities (GIFSPs). To do this, we study the long-time behavior of trajectories of Markov-type operators acting on product of spaces of Borel measures on arbitrary Polish space. Precisely, we get the desired geometric rate of convergence of sequences of measures under the action of such operator to the unique distribution in the Hutchinson–Wasserstein distance. We apply the obtained results to study limiting behavior of random trajectories of GIFSPs as well as stochastic difference equations with multiple delays.

Poland’s Policy in the Space Sector: The Institutional Dimension Since Joining the European Space Agency

This paper discusses Poland’s policy approach regarding the space-sector. The paper covers the period from 2012 to the end of 2019, i.e. the period of Poland’s membership in the European Space Agency. It tackles the institutional development of the sector. The paper’s main thesis is that positive developments occurred during the analysed period supporting development of the Polish space sector, which however has not resulted in transparent responsibility-division or their concentration in a single ministry. On the contrary, competence disputes have intensified. These disputes do not strengthen the position of the space sector, nor the evolution of the Polish Space Agency. The statutory changes have actually led to the degradation of the significance of the Polish Space Agency and its transition from a space policy integrator to the expert support structure of individual ministries. Therefore, there is no strong entity capable of effective coordination and promotion of Polish space policy in the country and abroad.