Matthew D. Faust

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All published works

Action	Title	Year	Authors
+	Irreducibility of the Dispersion Polynomial for Periodic Graphs	2025	Matthew D. Faust Jordy Lopez Garcia
+ PDF Chat	Extrema of spectral band functions of two dimensional discrete periodic Schr\"odinger operators	2025	Matthew D. Faust Wencai Liu Ethan Luo
+ PDF Chat	LikelihoodGeometry: Macaulay2 Package	2024	D. Barnhill John B. Cobb Matthew D. Faust
+ PDF Chat	Floquet isospectrality of the zero potential for discrete periodic Schrödinger operators	2024	Matthew D. Faust Wencai Liu Rodrigo Matos Jenna Plute Jonah Robinson Y.H. Tao Ethan Tran Cindy Zhuang
+	Critical points of discrete periodic operators	2024	Matthew D. Faust Frank Sottile
+	Floquet Isospectrality of the Zero Potential for Discrete Periodic Schrödinger Operators	2024	Matthew D. Faust Wencai Liu Rodrigo Matos Jenna Plute Jonah Robinson Yichen Tao Ethan Tran Cindy Zhuang
+	Irreducibility of the Dispersion Polynomial for Periodic Graphs	2023	Matthew D. Faust Jordy Lopez Garcia
+	Likelihood Correspondence of Statistical Models	2023	D. Barnhill John B. Cobb Matthew D. Faust
+	Critical points of discrete periodic operators	2022	Matthew D. Faust Frank Sottile
+ PDF Chat	The Surprising Accuracy of Benford’s Law in Mathematics	2020	Zhaodong Cai Matthew D. Faust Adolf Hildebrand Junxian Li Yuan Zhang
+ PDF Chat	Leading Digits of Mersenne Numbers	2019	Zhaodong Cai Matthew D. Faust Adolf Hildebrand Junxian Li Yuan Zhang
+	Leading Digits of Mersenne Numbers	2017	Zhaodong Cai Matthew D. Faust Adolf Hildebrand Junxian Li Yuan Zhang

Common Coauthors

Coauthor	Papers Together
Junxian Li	3
Wencai Liu	3
Zhaodong Cai	3
Adolf Hildebrand	3
D. Barnhill	2
Frank Sottile	2
Jonah Robinson	2
Jenna Plute	2
Ethan Tran	2
Cindy Zhuang	2
Yuan Zhang	2
John B. Cobb	2
Rodrigo Matos	2
Jordy Lopez Garcia	1
Yichen Tao	1
Y.H. Tao	1
Ethan Luo	1
Jordy Lopez Garcia	1
Yuan Zhang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown	2023	Peter Kuchment	2
+ PDF Chat	Topics on Fermi varieties of discrete periodic Schrödinger operators	2022	Wencai Liu	2
+ PDF Chat	An overview of periodic elliptic operators	2016	Peter Kuchment	2
+	The First Digit Problem	1976	Ralph A. Raimi	2
+ PDF Chat	The Distribution of Leading Digits and Uniform Distribution Mod 1	1977	Persi Diaconis	2
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	2
+ PDF Chat	The Significant-Digit Phenomenon	1995	Theodore P. Hill	2
+ PDF Chat	Some Problems of Diophantine Approximation: The Lattice-Points of a Right-Angled Triangle	1922	G. H. Hardy J. E. Littlewood	1
+	Borg-Type Theorems for Matrix-Valued Schrödinger Operators	2000	Stephen Clark Fritz Gesztesy Helge Holden B. M. Levitan	1
+ PDF Chat	Spectral properties of a certain class of complex potentials	1983	Victor Guillemin Alejandro Uribe	1
+	Inverse spectral problem for the Schr�dinger equation with periodic vector potential	1989	Gregory Eskin	1
+	On isospectral potentials on a discrete lattice II	1988	Thomas Kappeler	1
+	Prime numbers and the first digit phenomenon	1984	Daniel I. A. Cohen Talbot Michael Katz	1
+	Generalizing Benford′s Law Using Power Laws: Application to Integer Sequences	2009	Werner Hürlimann	1
+	Randomness of the square root of 2 and the Giant Leap, Part 1	2010	József Beck	1
+	On the mantissa distribution of powers of natural and prime numbers	2012	Shalom Eliahou Bruno Massé Dominique Schneider	1
+	Decomposable convex polyhedra	1963	G. C. Shephard	1
+ PDF Chat	Isospectral periodic Torii in dimension 2	2014	Alden Waters	1
+	The Strong Law of Small Numbers	1988	Richard K. Guy	1
+	Randomness in lattice point problems	2001	József Beck	1
+	Absolute Irreducibility of Polynomials via Newton Polytopes	2001	Shuhong Gao	1
+	Indecomposable convex polytopes	1987	Peter McMullen	1
+ PDF Chat	On a conjecture of Erdös and Szüsz related to uniform distribution mod 1	1966	Harry Kesten	1
+	On isospectral periodic potentials on a discrete lattice I	1988	Thomas Kappeler	1
+ PDF Chat	Inverse spectral results on two-dimensional tori	1990	Victor Guillemin	1
+ PDF Chat	Eigenfunctions of Unbounded Support for Embedded Eigenvalues of Locally Perturbed Periodic Graph Operators	2014	Stephen P. Shipman	1
+	A toroidal compactification of the Fermi surface for the discrete Schrödinger operator	1992	D. Bättig	1
+	The first-digit frequencies of prime numbers and Riemann zeta zeros	2009	Bartolo Luque Lucas Lacasa	1
+	Floquet Theory for Partial Differential Equations	1993	Peter Kuchment	1
+	On isospectral periodic potentials in R<sup>n</sup>	1984	Gregory Eskin James Ralston Eugene Trubowitz	1
+ PDF Chat	EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS	2012	William D. Banks John Friedlander Moubariz Z. Garaev Igor E. Shparlinski	1
+	On the distribution of primes in short intervals	1976	P. X. Gallagher	1
+	Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points	1976	H. P. McKean Eugene Trubowitz	1
+ PDF Chat	The mantissa distribution of the primorial numbers	2014	Bruno Massé Dominique Schneider	1
+	Initial Digits for the Sequence of Primes	1972	Roger Whitney	1
+	Note on the Frequency of Use of the Different Digits in Natural Numbers	1881	Simon Newcomb	1
+	Benford’s Law, A Growth Industry	2011	Kenneth A. Ross	1
+	Probabilistic Diophantine Approximation	2014	József Beck	1
+	Analytic Number Theory	2004	Paul T. Bateman Harold G. Diamond	1
+	A toroidal compactification of the two dimensional Bloch-manifold	1988	D. Bättig	1
+	Mathematische Miszellen. XVI. Zur Theorie der linearen Diophantischen Approximationen.	1930	Alexander Ostrowski	1
+ PDF Chat	The Circle Problem of Gauss and the Divisor Problem of Dirichlet—Still Unsolved	2018	Bruce C. Berndt Sun Kim Alexandru Zaharescu	1
+	Randomness of the square root of 2 and the giant leap, part 2	2011	József Beck	1
+	Benford's Law	2012	Mark J. Nigrini	1
+ PDF Chat	A local Benford Law for a class of arithmetic sequences	2018	Zhaodong Cai Adolf Hildebrand Junxian Li	1
+ PDF Chat	Prime numbers with Beatty sequences	2009	William D. Banks Igor E. Shparlinski	1
+	Products of random variables and the first digit phenomenon	2017	Nicolas Chenavier Bruno Massé Dominique Schneider	1
+ PDF Chat	Leading Digits of Mersenne Numbers	2019	Zhaodong Cai Matthew D. Faust Adolf Hildebrand Junxian Li Yuan Zhang	1
+ PDF Chat	Reducible Fermi surfaces for non-symmetric bilayer quantum-graph operators	2019	Stephen P. Shipman	1
+ PDF Chat	Criteria for Embedded Eigenvalues for Discrete Schrödinger Operators	2019	Wencai Liu	1