Brian Benson

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All published works

Action	Title	Year	Authors
+	Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvalues	2020	Brian Benson Grant S. Lakeland Holger Then
+ PDF Chat	Volume Growth, Curvature, and Buser-Type Inequalities in Graphs	2019	Brian Benson Peter Ralli Prasad Tetali
+	Cheeger constants of hyperbolic reflection groups and Maass cusp forms of small eigenvalues	2019	Brian Benson Grant S. Lakeland Holger Then
+ PDF Chat	Mean Value Theorems for Riemannian Manifolds Via the Obstacle Problem	2018	Brian Benson Ivan Blank Jeremy LeCrone
+	Volume growth, curvature, and Buser-type inequalities in graphs	2018	Brian Benson Peter Ralli Prasad Tetali
+	Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem	2017	Brian Benson Ivan Blank Jeremy LeCrone
+	Torsion and ground state maxima: close but not the same	2016	Brian Benson Richard S. Laugesen Michael L. Minion Bartłomiej Siudeja
+	Torsion and ground state maxima: close but not the same	2015	Brian Benson Richard S. Laugesen Michael L. Minion Bartłomiej Siudeja
+	The Cheeger Constant, Isoperimetric Problems, and Hyperbolic Surfaces	2015	Brian Benson
+	Torsion and ground state maxima: close but not the same	2015	Brian Benson Richard S. Laugesen Michael L. Minion Bartłomiej Siudeja
+ PDF Chat	Sturm–Liouville Estimates for the Spectrum and Cheeger Constant	2014	Brian Benson
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si37.gif" display="inline" overflow="scroll"><mml:mi>G</mml:mi></mml:math>-parking functions, acyclic orientations and spanning trees	2010	Brian Benson Deeparnab Chakrabarty Prasad Tetali
+	Parking Functions and Acyclic Orientations of Graphs	2008	Brian Benson Prasad Tetali
+	$G$-Parking Functions, Acyclic Orientations and Spanning Trees	2008	Brian Benson Deeparnab Chakrabarty Prasad Tetali
+	On Using (Z^2, +) Homomorphisms to Generate Pairs of Coprime Integers	2008	Brian Benson
+	The Three Hat Problem	2007	Brian Benson Yan Wang
+	The Structure of a Bernoulli Process Variation of the Fibonacci Sequence	2007	Brian Benson

Common Coauthors

Coauthor	Papers Together
Prasad Tetali	5
Michael L. Minion	3
Bartłomiej Siudeja	3
Richard S. Laugesen	3
Deeparnab Chakrabarty	2
Peter Ralli	2
Jeremy LeCrone	2
Holger Then	2
Grant S. Lakeland	2
Ivan Blank	2
Yan Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Lower Bound for the Smallest Eigenvalue of the Laplacian	2015	Jeff Cheeger	5
+ PDF Chat	On hyperboundedness and spectrum of Markov operators	2014	Laurent Miclo	3
+	The sand-pile model and Tutte polynomials	2003	Robert Cori Yvan Le Borgne	3
+ PDF Chat	None	1999	N. L. Biggs	3
+ PDF Chat	Bijective proofs of two broken circuit theorems	1986	Andreas Blass Bruce E. Sagan	3
+ PDF Chat	A general comparison theorem with applications to volume estimates for submanifolds	1978	Ernst Heintze Hermann Karcher	3
+	Abelian avalanches and Tutte polynomials	1993	Andrei Gabrielov	3
+ PDF Chat	Geometry and Spectra of Compact Riemann Surfaces	2010	Peter Buser	3
+ PDF Chat	A logical expansion in mathematics	1932	Hassler Whitney	2
+	<i>Discrete and Continuous Boundary Problems</i>	1964	F. V. Atkinson George H. Weiss	2
+	Optimal numberings and isoperimetric problems on graphs	1966	L. H. Harper	2
+ PDF Chat	Ricci curvature of metric spaces	2007	Yann Ollivier	2
+	The volume of a small geodesic ball of a Riemannian manifold.	1974	Alfred Gray	2
+	Complexity: Knots, Colourings and Counting	1993	Dominic Welsh	2
+	Mean-value theorems for Riemannian manifolds	1982	Alfred Gray T. J. Willmore	2
+ PDF Chat	Multiway Spectral Partitioning and Higher-Order Cheeger Inequalities	2014	James R. Lee Shayan Oveis Gharan Luca Trevisan	2
+ PDF Chat	Regularity of isoperimetric hypersurfaces in Riemannian manifolds	2003	Frank Morgan	2
+	On the Sandpile Group of Dual Graphs	2000	Robert Cori Dominique Rossin	2
+ PDF Chat	A family of bijections between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>G</mml:mi></mml:math>-parking functions and spanning trees	2004	Denis Chebikin Pavlo Pylyavskyy	2
+ PDF Chat	Riemannian geometry as determined by the volumes of small geodesic balls	1979	Alfred Gray L. Vanhecke	2
+	Mean Value Theorems in Harmonic Riemannian Spaces	1950	T. J. Willmore	2
+ PDF Chat	Spectral gap, logarithmic Sobolev constant, and geometric bounds	2004	Michel Ledoux	2
+ PDF Chat	Mean Value Theorems on Manifolds	2007	Lei Ni	2
+ PDF Chat	Analysis of Markov chain algorithms on spanning trees, rooted forests, and connected subgraphs	2005	Johannes Fehrenbach Ludger Rüschendorf	2
+	Volume and diameter of a graph and Ollivier’s Ricci curvature	2012	Seong-Hun Paeng	2
+	Trees, parking functions, syzygies, and deformations of monomial ideals	2004	Alexander Postnikov Boris Shapiro	2
+ PDF Chat	None	1999	Norman Biggs	2
+	Riemann–Roch and Abel–Jacobi theory on a finite graph	2007	Matthew Baker Serguei Norine	2
+	The Markov chain Monte Carlo method: an approach to approximate counting and integration	1996	Mark Jerrum Alistair Sinclair	2
+ PDF Chat	Eigenvalues and expanders	1986	Ilan Alon	2
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	2
+ PDF Chat	Explicit construction of linear sized tolerant networks	1988	Noga Alon Fan Chung	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+	Differential equations on riemannian manifolds and their geometric applications	1975	Sheng Yao Cheng Shing‐Tung Yau	2
+	Isoperimetric curves on hyperbolic surfaces	1999	Colin Adams Frank Morgan	2
+	Harmonic functions on complete riemannian manifolds	1975	Shing‐Tung Yau	2
+ PDF Chat	Heat Flow and Calculus on Metric Measure Spaces with Ricci Curvature Bounded Below—The Compact Case	2012	Luigi Ambrosio Nicola Gigli Giuseppe Savaré	2
+	Sinks in Acyclic Orientations of Graphs	2000	David D. Gebhard Bruce E. Sagan	2
+	λ1, Isoperimetric inequalities for graphs, and superconcentrators	1985	Noga Alon Vitali Milman	2
+ PDF Chat	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	2
+ PDF Chat	On the parabolic kernel of the Schrödinger operator	1986	Peter Li Shing Tung Yau	2
+	Mass transportation and rough curvature bounds for discrete spaces	2009	Anca-Iuliana Bonciocat Karl‐Theodor Sturm	2
+	Chip firing and the tutte polynomial	1997	Criel Merino	2
+ PDF Chat	Ollivier’s Ricci Curvature, Local Clustering and Curvature-Dimension Inequalities on Graphs	2013	Jürgen Jost Shiping Liu	2
+	$\lambda_{\infty}$ , Vertex Isoperimetry and Concentration	2000	Sergey G. Bobkov Christian Houdré Prasad Tetali	2
+	Symmetric Green's Functions on Complete Manifolds	1987	Peter Li Luen-Fai Tam	2
+	Constant mean curvature spheres in Riemannian manifolds	2008	Frank Pacard Xingwang Xu	2
+	An Isoperimetric Inequality on the Discrete Torus	1990	Béla Bollobás Imre Leader	2
+	Dependence of the nth Sturm–Liouville Eigenvalue on the Problem	1999	Qingkai Kong Hongyou Wu Anton Zettl	2
+ PDF Chat	Sharp results for the regularity and stability of the free boundary in the obstacle problem	2001	Ivan Blank	2