Ruth Kellerhals

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All published works

Action	Title	Year	Authors
+	A polyhedral approach to the arithmetic and geometry of hyperbolic link complements	2023	Ruth Kellerhals
+ PDF Chat	Cusp Density and Commensurability of Non-arithmetic Hyperbolic Coxeter Orbifolds	2022	Edoardo Dotti Simon T. Drewitz Ruth Kellerhals
+	The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume	2022	Simon T. Drewitz Ruth Kellerhals
+ PDF Chat	Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five	2022	Naomi Bredon Ruth Kellerhals
+	Small‐volume hyperbolic manifolds constructed from Coxeter groups	2022	Marston Conder Ruth Kellerhals
+ PDF Chat	SALEM NUMBERS, SPECTRAL RADII AND GROWTH RATES OF HYPERBOLIC COXETER GROUPS	2022	Ruth Kellerhals Livio Liechti
+	The non-arithmetic cusped hyperbolic 3-orbifold of minimal volume	2021	Simon T. Drewitz Ruth Kellerhals
+	Hyperbolic Coxeter groups and minimal growth rate in dimension four	2020	Naomi Bredon Ruth Kellerhals
+	Mini-Workshop: Reflection Groups in Negative Curvature	2020	Mikhail Belolipetsky Vincent Emery Ruth Kellerhals
+	Ideal Uniform Polyhedra in and Covolumes of Higher Dimensional Modular Groups	2020	Ruth Kellerhals
+	Hyperbolic Coxeter groups and minimal growth rates in dimensions four and five	2020	Naomi Bredon Ruth Kellerhals
+	Salem numbers, spectral radii and growth rates of hyperbolic Coxeter groups	2020	Ruth Kellerhals Livio Liechti
+ PDF Chat	The Growth Rates of Ideal Coxeter Polyhedra in Hyperbolic 3-Space	2017	Ruth Kellerhals Jun Nonaka
+ PDF Chat	On Minimal Covolume Hyperbolic Lattices	2017	Ruth Kellerhals
+	Commensurability of hyperbolic Coxeter groups: theory and computation (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)	2017	Rafael Guglielmetti Matthieu Jacquemet Ruth Kellerhals
+ PDF Chat	On commensurable hyperbolic Coxeter groups	2016	Rafael Guglielmetti Matthieu Jacquemet Ruth Kellerhals
+ PDF Chat	Hyperbolic Orbifolds of Minimal Volume	2014	Ruth Kellerhals
+ PDF Chat	Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers	2013	Ruth Kellerhals
+ PDF Chat	The three smallest compact arithmetic hyperbolic 5–orbifolds	2013	Vincent Emery Ruth Kellerhals
+ PDF Chat	The Minimal Growth Rate of Cocompact Coxeter Groups in Hyperbolic 3-space	2012	Ruth Kellerhals Alexander Kolpakov
+ PDF Chat	Scissors Congruence, the Golden Ratio and Volumes in Hyperbolic 5-Space	2012	Ruth Kellerhals
+	On the growth of cocompact hyperbolic Coxeter groups	2011	Ruth Kellerhals Geneviève Perren
+ PDF Chat	Ludwig Schläfli – ein genialer Schweizer Mathematiker	2010	Ruth Kellerhals
+	On the growth of cocompact hyperbolic Coxeter groups	2009	Ruth Kellerhals Geneviève Perren
+	On the growth of cocompact hyperbolic Coxeter groups	2009	Ruth Kellerhals Geneviève Perren
+	The fcc lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter	2007	Thierry Hild Ruth Kellerhals
+	On the structure of hyperbolic manifolds	2004	Ruth Kellerhals
+	A note on the hyperbolic 4–orbifold of minimal volume	2004	Ruth Kellerhals
+ PDF Chat	Quaternions and Some Global Properties of Hyperbolic 5-Manifolds	2003	Ruth Kellerhals
+	Commensurability classes of hyperbolic Coxeter groups	2002	Norman W. Johnson Ruth Kellerhals John G. Ratcliffe Steven T. Tschantz
+	None	2001	Ruth Kellerhals Thomas Zehrt
+	The size of a hyperbolic Coxeter simplex	1999	Norman W. Johnson Ruth Kellerhals John G. Ratcliffe Steven T. Tschantz
+	Volumes of cusped hyperbolic manifolds	1998	Ruth Kellerhals
+	Ball packings in spaces of constant curvature and the simplicial density function	1998	Ruth Kellerhals
+	Nichteuklidische Geometrie und Volumina hyperbolischer Polyeder	1996	Ruth Kellerhals
+ PDF Chat	Carl Siegel zum 100. Geburtstag Der Mathematiker Ludwig Schläfli	1996	Renate Tobies Ruth Kellerhals
+	Regular simplices and lower volume bounds for hyperbolicn-manifolds	1995	Ruth Kellerhals
+	Volumes in hyperbolic 5-space	1995	Ruth Kellerhals
+	Shape and size through hyperbolic eyes	1995	Ruth Kellerhals
+	On Volumes of Non-Euclidean Polytopes	1994	Ruth Kellerhals
+	On the volumes of hyperbolic 5-orthoschemes and the trilogarithm	1992	Ruth Kellerhals
+	The dilogarithm and volumes of hyperbolic polytopes	1991	Ruth Kellerhals
+	On Schläfli's reduction formula	1991	Ruth Kellerhals
+	On the volume of hyperbolic polyhedra	1989	Ruth Kellerhals

Common Coauthors

Coauthor	Papers Together
Simon T. Drewitz	3
Naomi Bredon	3
Geneviève Perren	3
Steven T. Tschantz	2
Livio Liechti	2
John G. Ratcliffe	2
Rafael Guglielmetti	2
Vincent Emery	2
Matthieu Jacquemet	2
Norman W. Johnson	2
Jun Nonaka	1
Renate Tobies	1
Alexander Kolpakov	1
Thomas Zehrt	1
Thierry Hild	1
Marston Conder	1
Mikhail Belolipetsky	1
Edoardo Dotti	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Discrete Groups of Motions of Spaces of Constant Curvature	1993	É. B. Vinberg O. V. Shvartsman	13
+	The size of a hyperbolic Coxeter simplex	1999	Norman W. Johnson Ruth Kellerhals John G. Ratcliffe Steven T. Tschantz	12
+	On the volume of hyperbolic polyhedra	1989	Ruth Kellerhals	12
+	Foundations of Hyperbolic Manifolds	1994	John G. Ratcliffe	11
+	Hyperbolic reflection groups	1985	É. B. Vinberg	11
+	Gesammelte Mathematische Abhandlungen	1950	Ludwig Schläfli	9
+	On the volumes of hyperbolic 5-orthoschemes and the trilogarithm	1992	Ruth Kellerhals	9
+ PDF Chat	Foundations of Hyperbolic Manifolds	2006	John G. Ratcliffe	9
+	On Schläfli's reduction formula	1991	Ruth Kellerhals	8
+	Theorie der vielfachen Kontinuität	1950	Ludwig Schläfli	8
+	Volumes of cusped hyperbolic manifolds	1998	Ruth Kellerhals	7
+	The cusped hyperbolic orbifolds of minimal volume in dimensions less than ten	2007	Thierry Hild	7
+	Growth functions of surface groups	1992	J. W. Cannon Ph. Wagreich	7
+ PDF Chat	CoxIter – Computing invariants of hyperbolic Coxeter groups	2015	Rafael Guglielmetti	6
+ PDF Chat	Hyperbolic geometry: The first 150 years	1982	John Milnor	6
+	The dilogarithm and volumes of hyperbolic polytopes	1991	Ruth Kellerhals	6
+	On the growth of cocompact hyperbolic Coxeter groups	2011	Ruth Kellerhals Geneviève Perren	6
+ PDF Chat	The Lehmer Polynomial and Pretzel Links	2001	Eriko Hironaka	6
+	Growth Series of Coxeter Groups and Salem Numbers	1993	Walter Parry	6
+	Volumes in hyperbolic 5-space	1995	Ruth Kellerhals	5
+	Volumes of hyperbolic manifolds	1983	Ted Chinburg	5
+ PDF Chat	The volume of hyperbolic Coxeter polytopes of even dimension	1995	Gerrit Heckman	5
+	The Arithmetic of Hyperbolic 3-Manifolds	2003	Colin M. MacLachlan Alan W. Reid	5
+	Dissecting orthoschemes into orthoschemes	1990	HansE. Debrunner	5
+ PDF Chat	The Minimal Growth Rate of Cocompact Coxeter Groups in Hyperbolic 3-space	2012	Ruth Kellerhals Alexander Kolpakov	5
+ PDF Chat	The cusped hyperbolic 3-orbifold of minimum volume	1985	Robert Meyerhoff	5
+ PDF Chat	Compact Hyperbolic Coxeter $n$-Polytopes with $n+3$ Facets	2007	Pavel Tumarkin	5
+ PDF Chat	A note on curvature and fundamental group	1968	John Milnor	5
+	Commensurability classes of hyperbolic Coxeter groups	2002	Norman W. Johnson Ruth Kellerhals John G. Ratcliffe Steven T. Tschantz	4
+ PDF Chat	On volumes of arithmetic quotients of PO (<i>n</i> , 1)<sup>°</sup> , <i>n</i> odd	2012	Mikhail Belolipetsky Vincent Emery	4
+	Reciprocity of growth functions of Coxeter groups	1991	Ruth Charney Michael W. Davis	4
+	The orders of the finite Chevalley groups	1966	Louis Solomon	4
+	Reflection Groups and Coxeter Groups	1990	James E. Humphreys	4
+	Generators and Relations for Discrete Groups	1980	H. S. M. Coxeter W. O. J. Moser	4
+	Polyedergeometrie in n-dimensionalen Räumen konstanter Krümmung	1981	Johannes Böhm Eike Hertel	4
+ PDF Chat	Hyperbolic Orbifolds of Minimal Volume	2014	Ruth Kellerhals	4
+	Regular simplices and lower volume bounds for hyperbolicn-manifolds	1995	Ruth Kellerhals	4
+	Generators and Relations for Discrete Groups	1972	H. S. M. Coxeter W. O. J. Moser	4
+	Arrangements of equal spheres in non-Euclidean spaces	1954	H. S. M. Coxeter	4
+	THE FUNCTIONS OF SCHLÄFLI AND LOBATSCHEFSKY	1935	H. S. M. Coxeter	4
+ PDF Chat	The noncompact hyperbolic 3-manifold of minimal volume	1987	Colin Adams	3
+ PDF Chat	Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements.	1993	Sa’ar Hersonsky	3
+ PDF Chat	Scissors Congruence, the Golden Ratio and Volumes in Hyperbolic 5-Space	2012	Ruth Kellerhals	3
+ PDF Chat	Addendum to: On volumes of arithmetic quotients of SO (1, n)	2009	Mikhail Belolipetsky	3
+ PDF Chat	Commensurators of Cusped Hyperbolic Manifolds	2008	Oliver Goodman Damian Heard Craig D. Hodgson	3
+	Sphere-packing and volume in hyperbolic 3-space	1986	Robert Meyerhoff	3
+	DISCRETE GROUPS GENERATED BY REFLECTIONS IN LOBAČEVSKIĬ SPACES	1967	É. B. Vinberg	3
+ PDF Chat	Minimal co-volume hyperbolic lattices, II: Simple torsion in a Kleinian group	2012	T. H. Marshall Gaven Martin	3
+	The fcc lattice and the cusped hyperbolic 4-orbifold of minimal volume: In memoriam H. S. M. Coxeter	2007	Thierry Hild Ruth Kellerhals	3
+	The classification of compact hyperbolic Coxeterd-polytopes withd+2 facets	1996	Frank Esselmann	3