Results 11 to 20 of about 3,088,125 (319)
Geometry from information geometry [PDF]
AIP Conference Proceedings, 2016 We use the method of maximum entropy to model physical space as a curved statistical manifold. It is then natural to use information geometry to explain the geometry of space. We find that the resultant information metric does not describe the full geometry of space but only its conformal geometry -- the geometry up to local changes of scale ...
Caticha, Ariel
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Geometry of pseudocharacters [PDF]
Geometry & Topology, 2005 Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper26.abs ...
Bavard +10 more
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Nature Reviews Physics, 2021 Real networks are finite metric spaces. Yet the geometry induced by shortest path distances in a network is definitely not its only geometry. Other forms of network geometry are the geometry of latent spaces underlying many networks, and the effective geometry induced by dynamical processes in networks.
Marián Boguñá +5 more
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Geometries, non-geometries, and fluxes [PDF]
Advances in Theoretical and Mathematical Physics, 2010 Using F-theory/heterotic duality, we describe a framework for analyzing non-geometric T2-fibered heterotic compactifications to six- and four-dimensions. Our results suggest that among T2-fibered heterotic string vacua, the non-geometric compactifications are just as typical as the geometric ones. We also construct four-dimensional solutions which have
McOrist, Jock +2 more
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Entropy, 2020 Information geometry has offered a way to formally study the efficacy of scientific models by quantifying the impact of model parameters on the predicted effects. However, there has been little formal investigation of causation in this framework, despite causal models being a fundamental part of science and explanation.
Pavel Chvykov, Erik Hoel
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International Journal of Modern Physics D, 2004 Extra-dimensional theories contain additional degrees of freedom related to the geometry of the extra space which can be interpreted as new particles. Such theories allow to reformulate most of the fundamental problems of physics from a completely different point of view.
Ruiz Cembranos, José Alberto +2 more
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Bulletin of the American Mathematical Society, 1993 We characterize the Zariski topologies over an algebraically closed field in terms of general dimension-theoretic properties. Some applications are given to complex manifold and to strongly minimal sets.
Hrushovski, E, Zilber, B
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Single-Player and Two-Player Buttons & Scissors Games [PDF]
, 2016 We study the computational complexity of the Buttons \& Scissors game and obtain sharp thresholds with respect to several parameters. Specifically we show that the game is NP-complete for $C = 2$ colors but polytime solvable for $C = 1$.
Burke, Kyle +15 more
core +3 more sources
, 2016 In this paper we describe the foundation of a new kind of discrete geometry and calculus called Script Geometry. It allows to work with more general meshes than classic simplicial complexes.
Cerejeiras, Paula +3 more
core +2 more sources