Norbert Peyerimhoff

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All published works

Action	Title	Year	Authors
+	Bakry-Émery curvature sharpness and curvature flow in finite weighted graphs: theory	2025	D. H. Cushing Supanat Kamtue Shiping Liu Florentin Münch Norbert Peyerimhoff Ben Snodgrass
+ PDF Chat	Sharp Hardy-type inequalities for non-compact harmonic manifolds and Damek–Ricci spaces	2025	Florian Fischer Norbert Peyerimhoff
+ PDF Chat	A note on the magnetic Steklov operator on functions	2024	Tirumala Chakradhar Katie Gittins Georges Habib Norbert Peyerimhoff
+ PDF Chat	Polyhedral volume ratios, Izmestiev's Colin de Verdiere matrices and Spectral Gaps	2024	Ioannis Ivrissimtzis Carsten Lange Shiping Liu Norbert Peyerimhoff
+ PDF Chat	NP-Completeness of the Combinatorial Distance Matrix Realisation Problem	2024	David L. Fairbairn George B. Mertzios Norbert Peyerimhoff
+ PDF Chat	A note on Steinerberger's curvature for graphs	2024	D. H. Cushing Supanat Kamtue Erin Law Shiping Liu Florentin Münch Norbert Peyerimhoff
+ PDF Chat	Entropic curvature not comparable to other curvatures -- or is it?	2024	Supanat Kamtue Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	2024	Michela Egidi Katie Gittins Georges Habib Norbert Peyerimhoff
+ PDF Chat	Bakry–Émery Curvature Sharpness and Curvature Flow in Finite Weighted Graphs. Implementation	2023	D. H. Cushing Supanat Kamtue Shiping Liu Florentin Münch Norbert Peyerimhoff Ben Snodgrass
+	Parameterized Counting and Cayley Graph Expanders	2023	Norbert Peyerimhoff Marc Roth Johannes Schmitt Jakob Stix Alina Vdovina Philip Wellnitz
+	Twisted Isospectrality, Homological Wideness, and Isometry	2023	Gunther Cornelissen Norbert Peyerimhoff
+	Sharp Hardy-type inequalities for non-compact harmonic manifolds and Damek-Ricci spaces	2023	Florian Fischer Norbert Peyerimhoff
+ PDF Chat	Homological Wideness	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Examples Concerning the Main Result	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Introduction	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Homological Wideness, “Class Field Theory” for Covers, and a Number Theoretical Analogue	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Detecting Representation Isomorphism Through Twisted Spectra	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Length Spectrum	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Geometric Construction of the Covering Manifold	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Construction of Suitable Covers and Proof of the Main Theorem	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Spectra, Group Representations and Twisted Laplacians	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Manifold and Orbifold Constructions	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Representations with a Unique Monomial Structure	2023	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Examples of Homologically Wide Actions	2023	Gunther Cornelissen Norbert Peyerimhoff
+	Bakry-Émery and Ollivier Ricci Curvature of Cayley Graphs	2023	D. H. Cushing Supanat Kamtue Riikka Kangaslampi Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Bakry-Émery calculus for entropic curvature, new diameter estimates, and spectral gaps	2023	Supanat Kamtue Shiping Liu Florentin Münch Norbert Peyerimhoff
+ PDF Chat	Rigidity properties of the hypercube via Bakry–Émery curvature	2022	Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: a collaborative study between early years teachers and university-based mathematicians	2022	Rachel H. Oughton Kathryn Nichols David Bolden Sarah Dixon-Jones Sam Fearn Sophia Darwin Mrita Mistry Norbert Peyerimhoff Adam K. Townsend
+	Bakry-Émery curvature on graphs as an eigenvalue problem	2022	D. H. Cushing Supanat Kamtue Shiping Liu Norbert Peyerimhoff
+	Bakry-Émery curvature sharpness and curvature flow in finite weighted graphs. I. Theory	2022	D. H. Cushing Supanat Kamtue Shiping Liu Florentin Münch Norbert Peyerimhoff Ben Snodgrass
+	Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms	2022	Michela Egidi Katie Gittins Georges Habib Norbert Peyerimhoff
+	Bakry-Émery curvature sharpness and curvature flow in finite weighted graphs. II. Implementation	2022	D. H. Cushing Supanat Kamtue Shiping Liu Florentin Münch Norbert Peyerimhoff Ben Snodgrass
+ PDF Chat	A note on eigenvalue bounds for non‐compact manifolds	2021	Matthias Keller Shiping Liu Norbert Peyerimhoff
+	Eigenfunctions and the integrated density of states on Archimedean tilings	2021	Norbert Peyerimhoff Matthias Täufer
+	Bakry-\'Emery curvature on graphs as an eigenvalue problem	2021	D. H. Cushing Supanat Kamtue Shiping Liu Norbert Peyerimhoff
+	Parameterized (Modular) Counting and Cayley Graph Expanders	2021	Norbert Peyerimhoff Marc Roth Johannes Schmitt Jakob Stix Alina Vdovina
+	Parameterized (Modular) Counting and Cayley Graph Expanders	2021	Norbert Peyerimhoff Marc Roth Johannes Schmitt Jakob Stix Alina Vdovina
+ PDF Chat	Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds	2021	Michela Egidi Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Bakry-Émery curvature on graphs as an eigenvalue problem	2021	D. H. Cushing Supanat Kamtue Shiping Liu Norbert Peyerimhoff
+	Twisted isospectrality, homological wideness and isometry	2021	Gunther Cornelissen Norbert Peyerimhoff
+ PDF Chat	Curvatures, graph products and Ricci flatness	2020	D. H. Cushing Supanat Kamtue Riikka Kangaslampi Shiping Liu Norbert Peyerimhoff
+	Curvature Calculations for Antitrees	2020	D. H. Cushing Shiping Liu Florentin Münch Norbert Peyerimhoff
+ PDF Chat	Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature	2020	D. H. Cushing Supanat Kamtue Jack H. Koolen Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces	2020	Gerhard Knieper John R. Parker Norbert Peyerimhoff
+	Effective equidistribution of expanding horospheres in the locally symmetric space $SO(d) \backslash SL(d,R) / SL(d,Z)$	2020	Cornelia Druţu Norbert Peyerimhoff
+ PDF Chat	Signatures, Lifts, and Eigenvalues of Graphs	2020	Shiping Liu Norbert Peyerimhoff Alina Vdovina
+	A note on eigenvalue bounds for non-compact manifolds.	2020	Matthias Keller Shiping Liu Norbert Peyerimhoff
+	Effective equidistribution of expanding horospheres in the locally symmetric space SO(d) \ SL(d,R) / SL(d,Z)	2020	Cornelia Druţu Norbert Peyerimhoff
+	Quartic graphs which are Bakry-Émery curvature sharp	2019	D. H. Cushing Supanat Kamtue Norbert Peyerimhoff Leyna Watson May
+	Curvatures, graph products and Ricci flatness	2019	D. H. Cushing Supanat Kamtue Riikka Kangaslampi Shiping Liu Norbert Peyerimhoff
+ PDF Chat	The Fourier Transform on Harmonic Manifolds of Purely Exponential Volume Growth	2019	Kingshook Biswas Gerhard Knieper Norbert Peyerimhoff
+ PDF Chat	Trivalent expanders, $(\Delta – Y)$-transformation, and hyperbolic surfaces	2019	Ioannis Ivrissimtzis Norbert Peyerimhoff Alina Vdovina
+	The Fourier transform on harmonic manifolds of purely exponential volume growth	2019	Kingshook Biswas Gerhard Knieper Norbert Peyerimhoff
+ PDF Chat	A support theorem for the X-ray transform on manifolds with plane covers	2019	Norbert Peyerimhoff Evangelia Samiou
+	Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces	2019	Gerhard Knieper John R. Parker Norbert Peyerimhoff
+ PDF Chat	Distance Bounds for Graphs with Some Negative Bakry-Émery Curvature	2019	Shiping Liu Florentin Münch Norbert Peyerimhoff Christian Rose
+	Quartic graphs which are Bakry-\'Emery curvature sharp	2019	D. H. Cushing Supanat Kamtue Norbert Peyerimhoff Leyna Watson May
+	Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds.	2019	Michela Egidi Shiping Liu Florentin Muench Norbert Peyerimhoff
+	Crystallographic Refinement using Non-Spherical Form Factors in olex2.refine	2019	Laura Midgley Luc J. Bourhis Oleg V. Dolomanov Norbert Peyerimhoff Horst Puschmann
+ PDF Chat	Curvature and Higher Order Buser Inequalities for the Graph Connection Laplacian	2019	Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Curvatures, graph products and Ricci flatness	2019	D. H. Cushing Supanat Kamtue Riikka Kangaslampi Shiping Liu Norbert Peyerimhoff
+	The Fourier transform on harmonic manifolds of purely exponential volume growth	2019	Kingshook Biswas Gerhard Knieper Norbert Peyerimhoff
+	Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces	2019	Gerhard Knieper John R. Parker Norbert Peyerimhoff
+	Quartic graphs which are Bakry-Émery curvature sharp	2019	D. H. Cushing Supanat Kamtue Norbert Peyerimhoff Leyna Watson May
+ PDF Chat	Minimizing length of billiard trajectories in hyperbolic polygons	2018	John R. Parker Norbert Peyerimhoff Karl Friedrich Siburg
+	Trivalent expanders, $(\Delta-Y)$-transformation, and hyperbolic surfaces	2018	Ioannis Ivrissimtzis Norbert Peyerimhoff Alina Vdovina
+	Eigenfunctions and the Integrated Density of States on Archimedean Tilings.	2018	Norbert Peyerimhoff Matthias Täufer
+	Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature	2018	D. H. Cushing Supanat Kamtue Jack H. Koolen Shiping Liu Florentin Münch Norbert Peyerimhoff
+ PDF Chat	Eigenvalue Ratios of Non-Negatively Curved Graphs	2018	Shiping Liu Norbert Peyerimhoff
+ PDF Chat	Bakry–Émery Curvature Functions on Graphs	2018	D. H. Cushing Shiping Liu Norbert Peyerimhoff
+ PDF Chat	Bakry–Émery curvature and diameter bounds on graphs	2018	Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Curvature calculations for antitrees	2018	D. H. Cushing Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Ollivier--Ricci Idleness Functions of Graphs	2018	David Bourne D. H. Cushing Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Trivalent expanders, $(Δ-Y)$-transformation, and hyperbolic surfaces	2018	Ioannis Ivrissimtzis Norbert Peyerimhoff Alina Vdovina
+	Eigenfunctions and the Integrated Density of States on Archimedean Tilings	2018	Norbert Peyerimhoff Matthias Täufer
+	Curvature calculations for antitrees	2018	D. H. Cushing Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature	2018	D. H. Cushing Supanat Kamtue Jack H. Koolen Shiping Liu Florentin Münch Norbert Peyerimhoff
+	A note on eigenvalue bounds for non-compact manifolds	2017	Matthias Keller Shiping Liu Norbert Peyerimhoff
+ PDF Chat	Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space	2017	Norbert Peyerimhoff Matthias Täufer Ivan Veselić
+	Ollivier-Ricci idleness functions of graphs	2017	David Bourne D. H. Cushing Shiping Liu Florentin Münch Norbert Peyerimhoff
+	A note on eigenvalue bounds for non-compact manifolds	2017	Matthias Keller Shiping Liu Norbert Peyerimhoff
+	Ollivier-Ricci idleness functions of graphs	2017	David G. Bourne D. H. Cushing Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Sectional curvature of polygonal complexes with planar substructures	2016	Matthias Keller Norbert Peyerimhoff Felix Pogorzelski
+	Preface	2016	Dzmitry Badziahin Alexander Gorodnik Norbert Peyerimhoff
+	Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds	2016	Michela Egidi Shiping Liu Florentin Münch Norbert Peyerimhoff
+	Minimizing length of billiard trajectories in hyperbolic polygons	2016	John R. Parker Norbert Peyerimhoff Karl Friedrich Siburg
+	The X-ray transform on 2-step nilpotent Lie groups of higher rank	2016	Norbert Peyerimhoff Evangelia Samiou
+	Minimizing length of billiard trajectories in hyperbolic polygons	2016	John R. Parker Norbert Peyerimhoff Karl Friedrich Siburg
+	Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds	2016	Michela Egidi Shiping Liu Florentin Münch Norbert Peyerimhoff
+ PDF Chat	Frustration index and Cheeger inequalities for discrete and continuous magnetic Laplacians	2015	Carsten Lange Shiping Liu Norbert Peyerimhoff Olaf Post
+	Geometric properties of rank one asymptotically harmonic manifolds	2015	Gerhard Knieper Norbert Peyerimhoff
+ PDF Chat	Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials	2015	Karsten Leonhardt Norbert Peyerimhoff Martin Tautenhahn Ivan Veselić
+ PDF Chat	Harmonic Functions on Rank One Asymptotically Harmonic Manifolds	2015	Gerhard Knieper Norbert Peyerimhoff
+	Regular Algebraic Surfaces, Ramification Structures and Projective Planes	2015	Nathan Barker Nigel Boston Norbert Peyerimhoff Alina Vdovina
+	Sectional curvature of polygonal complexes with planar substructures	2014	Matthias Keller Norbert Peyerimhoff Felix Pogorzelski
+	Harmonic functions on rank one asymptotically harmonic manifolds	2014	Gerhard Knieper Norbert Peyerimhoff
+	An Infinite Family of 2-Groups with Mixed Beauville Structures	2014	Nathan Barker Nigel Boston Norbert Peyerimhoff Alina Vdovina
+	Signatures, lifts, and eigenvalues of graphs	2014	Shiping Liu Norbert Peyerimhoff Alina Vdovina
+	Sectional curvature of polygonal complexes with planar substructures	2014	Matthias Keller Norbert Peyerimhoff Felix Pogorzelski
+	Harmonic functions on rank one asymptotically harmonic manifolds	2014	Gerhard Knieper Norbert Peyerimhoff
+ PDF Chat	Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups	2013	Ioannis Ivrissimtzis Norbert Peyerimhoff
+	An infinite family of 2-groups with mixed Beauville structures	2013	Nathan Barker Nigel Boston Norbert Peyerimhoff Alina Vdovina
+ PDF Chat	Integral Geometric Properties of Non-compact Harmonic Spaces	2013	Norbert Peyerimhoff Evangelia Samiou
+	Noncompact harmonic manifolds	2013	Gerhard Knieper Norbert Peyerimhoff
+	Noncompact asymptotically harmonic manifolds	2013	Gerhard Knieper Norbert Peyerimhoff
+	Noncompact harmonic manifolds	2013	Gerhard Knieper Norbert Peyerimhoff
+	An infinite family of 2-groups with mixed Beauville structures	2013	Nathan Barker Nigel Boston Norbert Peyerimhoff Alina Vdovina
+	Integral geometric properties of non-compact harmonic spaces	2012	Norbert Peyerimhoff Evangelia Samiou
+ PDF Chat	Some spectral applications of McMullen’s Hausdorff dimension algorithm	2012	Katie Gittins Norbert Peyerimhoff Mihai Stoiciu D. Wirosoetisno
+	Trivalent expanders and hyperbolic surfaces	2012	Ioannis Ivrissimtzis Norbert Peyerimhoff Alina Vdovina
+	Trivalent expanders and hyperbolic surfaces	2012	Ioannis Ivrissimtzis Norbert Peyerimhoff Alina Vdovina
+	Integral geometric properties of non-compact harmonic spaces	2012	Norbert Peyerimhoff Evangelia Samiou
+	Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups	2011	Ioannis Ivrissimtzis Norbert Peyerimhoff
+	Cayley graph expanders and groups of finite width	2011	Norbert Peyerimhoff Alina Vdovina
+	New examples of Beauville surfaces	2011	Nathan Barker Nigel Boston Norbert Peyerimhoff Alina Vdovina
+	Some spectral applications of McMullen's Hausdorff dimension algorithm	2011	Katie Gittins Norbert Peyerimhoff Mihai Stoiciu D. Wirosoetisno
+	Regular algebraic surfaces isogenous to a higher product constructed from group representations using projective planes	2011	Nathan Barker Nigel Boston Norbert Peyerimhoff Alina Vdovina
+	Spectral representations of vertex transitive graphs, Archimedean solids and finite Coxeter groups	2011	Ioannis Ivrissimtzis Norbert Peyerimhoff
+	Billiards in ideal hyperbolic polygons	2010	Simon Castle Norbert Peyerimhoff Karl Friedrich Siburg
+	Billiards in ideal hyperbolic polygons	2010	Simon Castle Norbert Peyerimhoff Karl Friedrich Siburg
+	Cheeger constants, growth and spectrum of locally tessellating planar graphs	2010	Matthias Keller Norbert Peyerimhoff
+ PDF Chat	Spherical spectral synthesis and two-radius theorems on Damek–Ricci spaces	2009	Norbert Peyerimhoff Evangelia Samiou
+ PDF Chat	Continuity of the Integrated Density of States on Random Length Metric Graphs	2009	Daniel Lenz Norbert Peyerimhoff Olaf Post Ivan Veselić
+	Cheeger constants, growth and spectrum of locally tessellating planar graphs	2009	Matthias Keller Norbert Peyerimhoff
+ PDF Chat	Continuity properties of the integrated density of states on manifolds	2008	Daniel Lenz Norbert Peyerimhoff Olaf Post Ivan Veselić
+	Geometric and spectral properties of locally tessellating planar graphs	2008	Matthias Keller Norbert Peyerimhoff
+	Ergodic properties of isoperimetric domains in spheres	2008	Gerhard Knieper Norbert Peyerimhoff
+	Cayley Graph Expanders and Groups of Finite Width	2008	Norbert Peyerimhoff Alina Vdovina
+ PDF Chat	Groupoids, von Neumann Algebras and the Integrated Density of States	2007	Daniel Lenz Norbert Peyerimhoff Ivan Veselić
+ PDF Chat	Geometric Heat Comparison Criteria for Riemannian Manifolds	2006	Leon Karp Norbert Peyerimhoff
+	Geodesics in non-positively curved plane tessellations	2006	Oliver Baues Norbert Peyerimhoff
+	Spherical means on compact locally symmetric spaces of non-positive curvature	2006	Norbert Peyerimhoff
+	Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature	2005	Steffen Klassert Daniel Lenz Norbert Peyerimhoff Peter Stollmann
+	Geometric heat comparison criteria for Riemannian manifolds	2005	Leon Karp Norbert Peyerimhoff
+ PDF Chat	Integrated density of states for random metrics on manifolds	2004	Daniel Lenz Norbert Peyerimhoff Ivan Veselić
+	Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature	2004	Steffen Klassert Daniel Lenz Norbert Peyerimhoff Peter Stollmann
+ PDF Chat	The Cheeger constant of simply connected, solvable Lie groups	2003	Norbert Peyerimhoff Evangelia Samiou
+	The dynamics of magnetic flows for energies above Mañé’s critical value	2003	Norbert Peyerimhoff Karl Friedrich Siburg
+	Random Schr"odinger operators on manifolds	2002	Daniel Lenz Norbert Peyerimhoff Ivan Veselić
+	Simplices of Maximal Volume or Minimal Total Edge Length in Hyperbolic Space	2002	Norbert Peyerimhoff
+	Extremal properties of the principal Dirichlet eigenvalue for regular polygons in the hyperbolic plane	2002	Leon Karp Norbert Peyerimhoff
+	The Cheeger constant of simply connected, solvable Lie groups	2002	Norbert Peyerimhoff Evangelia Samiou
+	Groupoids, von Neumann Algebras and the Integrated Density of States	2002	Daniel Lenz Norbert Peyerimhoff Ivan Veselić
+ PDF Chat	Integrated density of states for ergodic random Schrödinger operators on manifolds	2002	Norbert Peyerimhoff Ivan Veselić
+	Random Schr"odinger operators on manifolds	2002	Daniel Lenz Norbert Peyerimhoff Ivan Veselic'
+ PDF Chat	Curvature and Geometry of Tessellating Plane Graphs	2001	Oliver Baues Norbert Peyerimhoff
+	Spectral Gaps of Schrödinger Operators on Hyperbolic Space	2000	Leon Karp Norbert Peyerimhoff
+	None	2000	Leon Karp Norbert Peyerimhoff
+	Horospherical means and uniform distribution of curves of constant geodesic curvature	1999	Leon Karp Norbert Peyerimhoff
+	ON THE DISTRIBUTION OF HYPERSURFACES EQUIDISTANT FROM TOTALLY GEODESIC SUBMANIFOLDS IN HYPERBOLIC SPACE	1998	Leon Karp Norbert Peyerimhoff
+	Areas and Intersections in Convex Domains	1997	Norbert Peyerimhoff
+	Areas and Intersections in Convex Domains	1997	Norbert Peyerimhoff
+	On index formulas for manifolds with metric horns	1996	Matthias Lesch Norbert Peyerimhoff
+	The $$\bar \partial $$ -operator on algebraic curves	1990	Jochen Brüning Norbert Peyerimhoff Herbert Schröder

Common Coauthors

Coauthor	Papers Together
Shiping Liu	41
D. H. Cushing	25
Florentin Münch	24
Supanat Kamtue	20
Alina Vdovina	18
Gunther Cornelissen	14
Gerhard Knieper	14
Matthias Keller	10
Daniel Lenz	9
Ioannis Ivrissimtzis	9
Ivan Veselić	9
Evangelia Samiou	8
Leon Karp	7
John R. Parker	6
Michela Egidi	6
Nigel Boston	6
Karl Friedrich Siburg	6
Nathan Barker	5
Katie Gittins	5
Ben Snodgrass	4
Matthias Täufer	4
Riikka Kangaslampi	4
Johannes Schmitt	3
Felix Pogorzelski	3
Jakob Stix	3
Leyna Watson May	3
Olaf Post	3
Georges Habib	3
Marc Roth	3
Jack H. Koolen	3
Kingshook Biswas	3
Oliver Baues	2
Mihai Stoiciu	2
Carsten Lange	2
Florian Fischer	2
Simon Castle	2
Steffen Klassert	2
Cornelia Druţu	2
Peter Stollmann	2
D. Wirosoetisno	2
David Bourne	2
Herbert Schröder	1
Karsten Leonhardt	1
Philip Wellnitz	1
Sarah Dixon-Jones	1
Adam K. Townsend	1
Ivan Veselic'	1
Martin Tautenhahn	1
Florentin Muench	1
Erin Law	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ricci curvature of Markov chains on metric spaces	2008	Yann Ollivier	17
+ PDF Chat	Ricci curvature and eigenvalue estimate on locally finite graphs	2010	Yong Lin Shing‐Tung Yau	15
+ PDF Chat	New results on noncompact harmonic manifolds	2012	Gerhard Knieper	12
+ PDF Chat	On harmonic and asymptotically harmonic homogeneous spaces	2006	Joerg Heber	11
+	Groups acting simply transitively on the vertices of a building of type� 2, I	1993	Donald I. Cartwright Anna Maria Mantero Tim Steger Anna Zappa	10
+ PDF Chat	Ricci curvature of graphs	2011	Yong Lin Linyuan Lü Shing‐Tung Yau	10
+ PDF Chat	Ollivier’s Ricci Curvature, Local Clustering and Curvature-Dimension Inequalities on Graphs	2013	Jürgen Jost Shiping Liu	10
+ PDF Chat	Discrete Curvature and Abelian Groups	2015	Bo’az Klartag Gady Kozma Peter Ralli Prasad Tetali	10
+ PDF Chat	The Lichnerowicz conjecture on harmonic manifolds	1990	Zoltán Szabó	10
+ PDF Chat	The Graph Curvature Calculator and the Curvatures of Cubic Graphs	2019	D. H. Cushing Riikka Kangaslampi Valtteri Lipiäinen Shiping Liu G. W. Stagg	10
+	Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature	2005	Steffen Klassert Daniel Lenz Norbert Peyerimhoff Peter Stollmann	9
+	Harnack inequalities for graphs with non-negative Ricci curvature	2014	Fan Chung Yong Lin Shing‐Tung Yau	8
+	Manifolds and Graphs with Mostly Positive Curvatures	1991	K. D. Elworthy	8
+	Curvature of Nonlocal Markov Generators	1998	Michael Schmuckenschläger	8
+	Star Graphs, Projective Planes and Free Subgroups in Small Cancellation Groups	1988	Martin Edjvet James Howie	8
+	Cayley graph expanders and groups of finite width	2011	Norbert Peyerimhoff Alina Vdovina	8
+ PDF Chat	Bakry–Émery curvature and diameter bounds on graphs	2018	Shiping Liu Florentin Münch Norbert Peyerimhoff	8
+	Eigenvalue comparison theorems and its geometric applications	1975	Shiu‐Yuen Cheng	8
+	A note on tilings and strong isoperimetric inequality	1998	Wolfgang Woess	7
+ PDF Chat	Bakry–Émery Curvature Functions on Graphs	2018	D. H. Cushing Shiping Liu Norbert Peyerimhoff	7
+	Pure point spectrum and negative curvature for noncompact manifolds	1979	Harold Donnelly Peter Li	7
+	Geodesics in non-positively curved plane tessellations	2006	Oliver Baues Norbert Peyerimhoff	7
+	Li-Yau inequality on graphs	2015	Frank Bauer Paul Horn Yong Lin Gábor Lippner Dan Mangoubi Shing‐Tung Yau	7
+	Li–Yau inequality on finite graphs via non-linear curvature dimension conditions	2018	Florentin Münch	7
+ PDF Chat	Eigenvalue Ratios of Non-Negatively Curved Graphs	2018	Shiping Liu Norbert Peyerimhoff	7
+ PDF Chat	Approximating <i>L</i><sup>2</sup>‐invariants and the Atiyah conjecture	2003	Józef Dodziuk Peter A. Linnell Varghese Mathai Thomas Schick Stuart Yates	7
+ PDF Chat	Logarithmic Harnack Inequalities	1996	Fan Chung Shing‐Tung Yau	7
+ PDF Chat	Difference equations, isoperimetric inequality and transience of certain random walks	1984	Józef Dodziuk	7
+	Structure of manifolds of nonpositive curvature	1985	Patrick Eberlein	6
+	Horospherical means and uniform distribution of curves of constant geodesic curvature	1999	Leon Karp Norbert Peyerimhoff	6
+ PDF Chat	Integrated density of states for ergodic random Schrödinger operators on manifolds	2002	Norbert Peyerimhoff Ivan Veselić	6
+ PDF Chat	On the parabolic kernel of the Schrödinger operator	1986	Peter Li Shing Tung Yau	6
+ PDF Chat	Two theorems on harmonic manifolds	2005	Yuri Nikolayevsky	6
+ PDF Chat	Certain conditions for a Riemannian manifold to be isometric with a sphere	1962	Morio Obata	6
+ PDF Chat	Integral Geometric Properties of Non-compact Harmonic Spaces	2013	Norbert Peyerimhoff Evangelia Samiou	6
+ PDF Chat	Diffusions hypercontractives	1985	Dominique Bakry Michel Émery	6
+	Entropies et rigidités des espaces localement symétriques de courbure strictement négative	1995	Gérard Besson G. Courtois Sylvestre Gallot	6
+	Harmonic manifolds with minimal horospheres	2002	Akhil Ranjan Hemangi Shah	6
+ PDF Chat	The Cheeger constant of simply connected, solvable Lie groups	2003	Norbert Peyerimhoff Evangelia Samiou	6
+	Combinatorial curvature for planar graphs	2001	Yusuke Higuchi	6
+	Riemannian Coverings and Isospectral Manifolds	1985	Toshikazu Sunada	6
+ PDF Chat	Spectral analysis of percolation Hamiltonians	2004	Ivan Veselić	6
+	Harmonic analysis on solvable extensions of H-type groups	1992	Ewa Damek Fulvio Ricci	6
+	Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs	2017	Paul Horn Yong Lin Shuang Liu Shing‐Tung Yau	6
+ PDF Chat	Remarks on curvature dimension conditions on graphs	2017	Florentin Münch	6
+	Riemannian manifolds with positive mean curvature	1941	S. B. Myers	6
+	Density of states in spectral geometry	1993	Toshiaki Adachi Toshikazu Sunada	6
+ PDF Chat	Groupoids, von Neumann Algebras and the Integrated Density of States	2007	Daniel Lenz Norbert Peyerimhoff Ivan Veselić	6
+ PDF Chat	Hamiltonians on discrete structures: jumps of the integrated density of states and uniform convergence	2008	Daniel Lenz Ivan Veselić	6
+	Stochastic completeness for graphs with curvature dimension conditions	2016	Bobo Hua Yong Lin	6