Fetching the paper…
Reading the bibliography…
It is shown that there is no quasi-sphere packing of the lattice grid Z^{d+1} or a co-compact hyperbolic lattice of H^{d+1} or the 3-regular tree \times Z, in R^d, for all d.
Koebe, P. Kontaktprobleme der konformen Abbildung. Berichte Verhande. Sächs. Akad. Wiss. Leipzig, Math.-Phys. Klasse
1936
Earlier work this paper cites.
Duffin, R. J. The extremal length of a network. J. Math. Anal. Appl
1962
Earlier work this paper cites.
Maeda, F.Y. A remark on the parabolic index of infinite networks. Hiroshima Math. J
1977
Earlier work this paper cites.
Yamasaki, M. Parabolic and hyperbolic infinite networks. Hiroshima Math. J
1977
Earlier work this paper cites.
Yamasaki, M. Ideal boundary limit of Dirichlet functions. Hiroshima. Math. J
1986
Earlier work this paper cites.
Conway, J. H. Sloane, N. J. A. Sphere packings, Lattices and Groups. Springer-Verlag
1988
Earlier work this paper cites.
Marden, A. and Rodin, B. On Thurston’s formulation and proof of Andreev’s theorem. In Computational Methods and Function Theory, LNM 1435
1989
Earlier work this paper cites.
Pansu, P. Cohomologie L p L^{p} des variétés à courbure négative, cas du degré 1 1 . Rend. Sem. Mat. Univ. Politec. Torino 1989
1990
Earlier work this paper cites.
Colin De Verdière, Y. Un principe variationnel pour les empilements de cercles. Invent. math
1991
Earlier work this paper cites.
Holopainen, I. Positive solutions of quasilinear elliptic equations on Riemannian manifolds. Proc. London Math. Soc
1992
Earlier work this paper cites.
Brightwell, G.R. and Scheinerman, E.R. Representation of planar graphs. SIAM J. Discrete Math
1993
Cited alongside, same era.
Gromov, M. Asymptotic invariants of infinite groups. Geometric group theory, Vol. 2 (Sussex, 1991), 1–295, London Math. Soc. Lecture Note Ser., 182
1993
Cited alongside, same era.
Soardi, M. P. Rough isometries and Dirichlet finite harmonic functions on graphs. Proc. AMS
1993
Cited alongside, same era.
Soardi, M. P. and Yamasaki, M. Parabolic index and rough isometries. Hiroshima Math. J
1993
Cited alongside, same era.
Holopainen, I. Rough isometries and p p -harmonic functions with finite Dirichlet integral. Rev. Mat. Iberoamericana
1994
Cited alongside, same era.
Benjamini, I. and Schramm, O. Harmonic functions on planar and almost planar graphs and manifolds, via circle packings. Invent. Math
1996
Later among the works it cites.
Holopainen, I. Volume growth, Green’s functions, and parabolicity of ends. (1997), preprint
1997
Later among the works it cites.
Holopainen, I. and Soardi, M. P. A strong Liouville theorem for p p -harmonic functions on graphs. Ann. Acad. Sci. Fennicae
1997
Later among the works it cites.
Holopainen, I. and Soardi, M. P. p p -harmonic functions on graphs and manifolds. Manuscripta Math
1997
Later among the works it cites.
Gromov, M. Metric structures for Riemannian and non-Riemannian spaces. Based on the 1981 French original. With appendices by M. Katz, P. Pansu and S. Semmes. Translated from the French by Sean Michael Bates. Progress in Mathematics, 152
1999
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1994
Cited alongside, same era.
Soardi, M. P. Potential theory on infinite networks. LNM 1590
1994
Cited alongside, same era.
He, Z.-X. and Schramm, O. Hyperbolic and parabolic packings. Discrete Comput. Geom
1995
Cited alongside, same era.
Schramm, O. Transboundary extremal length. J. d’ Analyse Math
1995
Cited alongside, same era.
Cited in the paper.
Benjamini I. and Schramm, O. Recurrence of Distributional Limits of Finite Planar Graphs. Electron. J. Probab
2001
Later among the works it cites.
Bourdon, M. and Pajot, H. Cohomologie l p l_{p} et espaces de Besov. J. Reine Angew. Math
2003
Later among the works it cites.
Pansu, P. Cohomologie L p L^{p} en degré 1 1 des espaces homogènes. Potential Anal
2008
Later among the works it cites.
Benjamini, I. Schramm, O. and Timár, A. Separation. (2009), preprint
2009
Closest in time.