BETWEEN THE MEMORY OF HERITAGE AND THE HERITAGE OF MEMORY. THE SEARCH FOR CONCEPTUAL SIMILARITIES

Th is paper introduces into the topic of memory and heritage, history and culture. Each of these four categories can be used to organise this topic, remaining within a system of necessary dependence

Regularity and mass conservation for discrete coagulation-fragmentation equations with diffusion

We present a new a-priori estimate for discrete coagulation-fragmentation systems with size-dependent diffusion within a bounded, regular domain confined by homogeneous Neumann boundary conditions. Following from a duality argument, this a-priori estimate provides a global $L^2$ bound on the mass density and was previously used, for instance, in the context of reaction-diffusion equations. In this paper we demonstrate two lines of applications for such an estimate: On the one hand, it enables to simplify parts of the known existence theory and allows to show existence of solutions for generalised models involving collision-induced, quadratic fragmentation terms for which the previous existence theory seems difficult to apply. On the other hand and most prominently, it proves mass conservation (and thus the absence of gelation) for almost all the coagulation coefficients for which mass conservation is known to hold true in the space homogeneous case.Comment: 24 page

W obronie polskiego stanu posiadania na Ukrainie (listopad 1917-marzec 1918)

128-16

Mykoła Riabczuk, Ponad resentymentami. Czytając Wasyla Kuczabskiego, „Arcana” nr 98–99, 2–3/2011, s. 245–254.

Mieczysław Wrzosek, Białysto

Dokumenty dotyczące politycznych zmagań Józefa Piłsudskiego i sprawy polskiej podczas pierwszej wojny światowej (sierpień - październik 1916). Część II

Część pierwsza opublikowana w: Studia Podlaskie T. 10, 2000, s. 281-337, http://hdl.handle.net/11320/249

HISTORIA HISTORIOGRAFII JAKO DZIEJE MYŚLENIA HISTORYCZNEGO

From time to time we ask ourselves about the status of our discipline. Th e answers to the questions regarding the methodology of history, the epistemology of history, the theory of history depend on the theoretical presuppositions of the researcher. Th e expectation that there is a single paradigm of research in the history of historiography requires the recognition and consent that there is one single mode of refl ecting on history. In this article, I argue that the history of historiography can be understood as history of historical thinking in all its contexts.From time to time we ask ourselves about the status of our discipline. Th e answers to the questions regarding the methodology of history, the epistemology of history, the theory of history depend on the theoretical presuppositions of the researcher. Th e expectation that there is a single paradigm of research in the history of historiography requires the recognition and consent that there is one single mode of refl ecting on history. In this article, I argue that the history of historiography can be understood as history of historical thinking in all its contexts

Quantum walk versus classical wave: Distinguishing ground states of quantum magnets by spacetime dynamics

We investigate wave packet spreading after a single spin flip in prototypical two-dimensional ferromagnetic and antiferromagnetic quantum spin systems. We find characteristic spatial magnon density profiles: While the ferromagnet shows a square-shaped pattern reflecting the underlying lattice structure, as exhibited by quantum walkers, the antiferromagnet shows a circular-shaped pattern which hides the lattice structure and instead resembles a classical wave pattern. We trace these fundamentally different behaviors back to the distinctly different magnon energy-momentum dispersion relations and also provide a real-space interpretation. Our findings point to opportunities for real-time, real-space imaging of quantum magnets both in materials science and in quantum simulators

W ZWIĄZKU Z TEKSTEM JANA POMORSKIEGO Polityzacja/mitologizacja historii, czyli w czym neuronauka (i metodologia) może pomóc badaczowi historii najnowszej?

The article discusses some highlighted premises and main postulates expounded in the essay by Pomorski. The outlook of the polemics is based on the culturological epistemology of history therefore the concept of politicization/mythologization and historiography inspired by neuroscience is called into the question in particular. Cognitive approach in humanities is also discussed, nevertheless the idea of humanistic cognitive science as the new refl ection on the human ways of the acquiring of culture might be taken into consideration.The article discusses some highlighted premises and main postulates expounded in the essay by Pomorski. The outlook of the polemics is based on the culturological epistemology of history therefore the concept of politicization/mythologization and historiography inspired by neuroscience is called into the question in particular. Cognitive approach in humanities is also discussed, nevertheless the idea of humanistic cognitive science as the new refl ection on the human ways of the acquiring of culture might be taken into consideration

Weak solutions to the Cauchy problem for the diffusive discrete coagulation–fragmentation system

AbstractThe initial value problem for the discrete coagulation–fragmentation system with diffusion is studied. This is an infinite countable system of reaction–diffusion equations describing coagulation and fragmentation of discrete clusters moving by spatial diffusion in all space Rd. The model considered in this work is a generalization of Smoluchowski's discrete coagulation equations. Existence of global-in-time weak solutions to the Cauchy problem is proved under natural assumptions on initial data for unbounded coagulation and fragmentation coefficients. This work extends existence theory for this system from the case of clusters distribution on bounded domain subject to no-flux boundary condition to the case of all Rd