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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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The Geometry of Gaussoids [PDF]
Foundations of Computational Mathematics, 2018 A gaussoid is a combinatorial structure that encodes independence in probability and statistics, just like matroids encode independence in linear algebra. The gaussoid axioms of Lnenicka and Matús are equivalent to compatibility with certain quadratic relations among principal and almost-principal minors of a symmetric matrix.
Tobias Boege +3 more
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Geometry in Transition: A Model of Emergent Geometry [PDF]
Physical Review Letters, 2008 We study a three matrix model with global SO(3) symmetry containing at most quartic powers of the matrices. We find an exotic line of discontinuous transitions with a jump in the entropy, characteristic of a 1st order transition, yet with divergent critical fluctuations and a divergent specific heat with critical exponent $α=1/2$.
Delgadillo-Blando, Rodrigo +2 more
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The Geometry of Scheduling [PDF]
SIAM Journal on Computing, 2010 Conference version in FOCS ...
Bansal, N., Pruhs, K.R.
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The geometry of synchronization [PDF]
Proceedings of the Joint Meeting of the Twenty-Third EACSL Annual Conference on Computer Science Logic (CSL) and the Twenty-Ninth Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2014 We graft synchronization onto Girard's Geometry of Interaction in its most concrete form, namely token machines. This is realized by introducing proof-nets for SMLL, an extension of multiplica-tive linear logic with a specific construct modeling synchronization points, and of a multi-token abstract machine model for it.
Ugo Dal Lago +3 more
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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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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 ...
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There is no McLaughlin geometry [PDF]
Journal of Combinatorial Theory, Series A, 2018 19 ...
Östergård, Patric R.J. +2 more
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