Results 51 to 60 of about 1,596 (215)
Speaking for Dionysus: Empathy and choral advocacy in Aristotle and Nietzsche
Orbis Litterarum, EarlyView.Abstract This essay argues for an abiding connection between empathy and advocacy by revealing their unrecognized parallels in Aristotle and Nietzsche. The argument makes three new claims. First, I identify an ancient form of sharing emotions, unnamed in but fundamental to Aristotle's Rhetoric, that I call “empathy by analogy.” Next, I show that the ...
Ellwood Wiggins
wiley +1 more source
Universal Optimality of Apollonian Cell Encoders
, 2018 Preserving privacy of private communication against an attacker is a fundamental concern of computer science security. Unconditional encryption considers the case where an attacker has unlimited computational power, hence no complexity result can be ...
Biondi, Fabrizio +5 more
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Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions [PDF]
, 2006 This paper gives $n$-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configurations, which are sets of four mutually touching circles.
Lagarias, Jeffrey C. +4 more
core +1 more source
Circle packings, renormalizations, and subdivision rules
Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.Abstract In this paper, we use iterations of skinning maps on Teichmüller spaces to study circle packings and develop a renormalization theory for circle packings whose nerves satisfy certain subdivision rules. We characterize when the skinning map has bounded image.
Yusheng Luo, Yongquan Zhang
wiley +1 more source
Apollonian structure in the Abelian sandpile [PDF]
Geometric and Functional Analysis, 2016 The Abelian sandpile process evolves configurations of chips on the integer lattice by toppling any vertex with at least 4 chips, distributing one of its chips to each of its 4 neighbors. When begun from a large stack of chips, the terminal state of the sandpile has a curious fractal structure which has remained unexplained. Using a characterization of
Levine, Lionel +2 more
openaire +5 more sources
An asymptotic local–global theorem on heights of some Kleinian group orbits
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove an asymptotic local–global theorem on the heights of point orbits of thin subgroups of Bianchi groups in H3$\mathbb {H}^3$.
Xuanxuan Xiao, Xin Zhang
wiley +1 more source
The American Mathematical Monthly, 2011 We review the construction of integral Apollonian circle packings. There are a num- ber of Diophantine problems that arise in the context of such packings. We discuss some of them and describe some recent advances.
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Magnetic models on Apollonian networks [PDF]
Physical Review E, 2005 Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering an Euclidian domain with circles of maximal radii. Maps for the thermodynamic functions in two subsequent generations of the construction of the network are obtained
Andrade, Roberto F. S. +1 more
openaire +3 more sources
PROVINCIALISING BERLIN IN MENSCHEN IM HOTEL
German Life and Letters, Volume 79, Issue 1, Page 57-74, January 2026.ABSTRACT In this article, I take the peculiar source of Vicki Baum's Menschen im Hotel (1929) in a Southern Moravian town as a starting point to reveal the ways in which the hierarchies between metropolis and province are negotiated and complicated by the novel.
Meindert Peters
wiley +1 more source
Deep Truth and the Mythic Veil: Werner Herzog's New Mythology in Land of Silence and Darkness
Film-Philosophy, 2018 This article begins with Werner Herzog's programmatic statements on new images and deep truth and connects it to ideas of Nietzschean aesthetics, mainly the Apollonian image and the Dionysian horror.
André Fischer
doaj +1 more source