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HYPERTILING is a high-performance Python library for the generation and visualization of regular hyperbolic lattices embedded in the Poincar\'e disk model.
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Spatial curvature effects on molecular transport by diffusion ,
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Percolation on hyperbolic lattices ,
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Brownian motion meets Riemann curvature ,
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Hyperbolic geometry of complex networks ,
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Sustaining the internet with hyperbolic mapping ,
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Elements of Phase Transitions and Critical Phenomena ,
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Universal amplitude-exponent relation for the Ising model on sphere-like lattices ,
M. Weigel and W. Janke, · 2000
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Phase transitions on nonamenable graphs ,
R. Lyons, · 2000
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Non-equilibrium critical phenomena and phase transitions into absorbing states ,
H. Hinrichsen, · 2000
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Percolation in the hyperbolic plane ,
I. Benjamini and O. Schramm, · 2001
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Eliminating leading corrections to scaling in the three-dimensional O(N)-symmetric � 4 \phi^{4} model: n = 3 n=3 and 4 ,
M. Hasenbusch, · 2001
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Topology and the cosmic microwave background ,
J. Levin, · 2002
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Phase transition of the Ising model on a hyperbolic lattice ,
T. Iharagi, A. Gendiar, H. Ueda and T. Nishino, · 2010
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Surface and bulk criticality in midpoint percolation ,
S. K. Baek, P. Minnhagen and B. J. Kim, · 2010
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Statistical mechanics of liquids and fluids in curved space ,
G. Tarjus, F. Sausset and P. Viot, · 2011
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A Gaussian for diffusion on the sphere ,
A. Ghosh, J. Samuel and S. Sinha, · 2012
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Finite-Size Scaling , vol. 2,
J. Cardy, · 2012
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Generating variable density fill patterns for 3D printing ,
K. Walmsley, · 2012
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Coxeter groups, automata and uniform tilings ,
Z. Liang, · 2012
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Visualization of regular maps: The chase continues ,
J. J. van Wijk, · 2014
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Mean-field universality class induced by weak hyperbolic curvatures ,
A. Gendiar, M. Daniška, R. Krčmár and T. Nishino, · 2014
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Critical Dynamics: A Field Theory Approach to Equilibrium and Non-Equilibrium Scaling Behavior ,
U. C. Täuber, · 2014
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A Guide to Monte Carlo Simulations in Statistical Physics ,
D. P. Landau and K. Binder, · 2014
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Gauge/Gravity Duality ,
M. Ammon and J. Erdmenger, · 2015
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Planck 2015 Results XIII. Cosmological Parameters ,
P. A. Ade, N. Aghanim, M. Arnaud, M. Ashdown, J. Aumont, C. Baccigalupi, A. Banday, R. Barreiro, J. Bartlett, N. Bartolo et al. , · 2016
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Local cluster-size statistics in the critical phase of bond percolation on the cayley tree ,
T. Nogawa, T. Hasegawa and K. Nemoto, · 2016
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Visualizing hyperbolic honeycombs ,
R. Nelson and H. Segerman, · 2016
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Lectures on the theory of automorphic functions ,
R. Fricke, F. Klein, A. M. DuPre and P. Boland, · 2017
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Constraint percolation on hyperbolic lattices ,
J. H. Lopez and J. M. Schwarz, · 2017
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Hyperbolic geometry and patterns ,
H. Mork, · 2018
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Violation of the Harris-Barghathi-Vojta criterion ,
M. Schrauth, J. S. E. Portela and F. Goth, · 2018
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Line-graph lattices: Euclidean and non-Euclidean flat bands, and implementations in circuit quantum electrodynamics ,
A. J. Kollár, M. Fitzpatrick, P. Sarnak and A. A. Houck, · 2019
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Hyperbolic lattices in circuit quantum electrodynamics ,
A. J. Kollár, M. Fitzpatrick and A. A. Houck, · 2019
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Hyperbolic cookies ,
C. Flexe, · 2019
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Topological hyperbolic lattices ,
S. Yu, X. Piao and N. Park, · 2020
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Hyperbolic tessellation ,
T. Adler, · 2020
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Lattice setup for quantum field theory in AdS 2 ,
R. C. Brower, C. V. Cogburn, A. L. Fitzpatrick, D. Howarth and C.-I. Tan, · 2021
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Eschersketch: Hyperbolic tiling generator ,
L. Blue, · 2021
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Community lockdowns in social networks hardly mitigate epidemic spreading ,
M. Gosak, M. Duh, R. Markovič and M. Perc, · 2021
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Crystallography of hyperbolic lattices ,
I. Boettcher, A. V. Gorshkov, A. J. Kollár, J. Maciejko, S. Rayan and R. Thomale, · 2022
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Circuit Quantum Electrodynamics in Hyperbolic Space: From Photon Bound States to Frustrated Spin Models ,
P. Bienias, I. Boettcher, R. Belyansky, A. J. Kollar and A. V. Gorshkov, · 2022
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Hyperbolic Lattice for Scalar Field Theory in AdS 3 ,
R. C. Brower, C. V. Cogburn and E. Owen, · 2022
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Electric-circuit realization of a hyperbolic drum ,
P. Lenggenhager, A. Stegmaier, L. Upreti, T. Hofmann, T. Helbig, A. Vollhardt, M. Greiter, C. H. Lee, S. Imhof, H. Brand, T. Kießling, I. Boettcher et al. , · 2022
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Hyperbolic matter in electrical circuits with tunable complex phases ,
A. Chen, H. Brand, T. Helbig, T. Hofmann, S. Imhof, A. Fritzsche, T. Kießling, A. Stegmaier, L. K. Upreti, T. Neupert, T. Bzdušek, M. Greiter et al. , · 2022
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Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings ,
P. Basteiro, G. Di Giulio, J. Erdmenger, J. Karl, R. Meyer and Z.-Y. Xian, · 2022
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hypertiling ,
M. Schrauth, Y. Thurn, F. Goth, J. S. E. Portela, D. Herdt and F. Dusel, · 2023
Closest in time.
Breitenlohner-Freedman bound on hyperbolic tilings ,
P. Basteiro, F. Dusel, J. Erdmenger, D. Herdt, H. Hinrichsen, R. Meyer and M. Schrauth, · 2023
Closest in time.