Donald G. Saari

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All published works

Action	Title	Year	Authors
+ PDF Chat	Connecting Arrow’s Theorem, voting theory, and the Traveling Salesperson Problem	2024	Donald G. Saari
+	Inherent Symmetries of graphs, paths, and Traveling Salesperson Problems	2022	Donald G. Saari
+	Connecting Arrow's Theorem, voting theory, and the traveling salesperson problem	2022	Donald G. Saari
+	Partial Information: The Greeks	2019	Donald G. Saari
+	Solutions of Black–Scholes	2019	Donald G. Saari
+	The Underlying Mathematics	2019	Daniel T. Jessie Donald G. Saari
+	Some Probability	2019	Donald G. Saari
+	Arrow, and unexpected consequences of his theorem	2018	Donald G. Saari
+ PDF Chat	Basis for binary comparisons and non-standard probabilities	2015	Donald G. Saari
+	From Arrow’s Theorem to ‘Dark Matter’	2015	Donald G. Saari
+	Mathematics and the “Dark Matter” Puzzle	2015	Donald G. Saari
+	Nonparametric Tests, Paradoxes in	2014	Donald G. Saari
+	Explaining Paradoxes in Nonparametric Statistics	2011	Anna E. Bargagliotti Donald G. Saari
+ PDF Chat	Telescope time without tears: a distributed approach to peer review	2009	M. R. Merrifield Donald G. Saari
+	Condorcet Domains: A Geometric Perspective	2009	Donald G. Saari
+	Modeling Complexity in Mathematics Education	2008	Donald G. Saari
+	Symmetry of Nonparametric Statistical Tests on Three Samples	2007	Anna E. Bargagliotti Donald G. Saari
+	Sen's Theorem: Geometric Proof, New Interpretations	2007	Lingfang Li Donald G. Saari
+	Collisions, Rings, and Other Newtonian 𝑁-Body Problems	2005	Donald G. Saari
+	Reflections on my conjecture, and several new ones	2005	Donald G. Saari
+	The way it was : mathematics from the early years of the Bulletin	2003	Donald G. Saari
+ PDF Chat	The Lack of Consistency for Statistical Decision Procedures	1991	Deanna Haunsperger Donald G. Saari
+ PDF Chat	The Lack of Consistency for Statistical Decision Procedures	1991	Deanna Haunsperger Donald G. Saari
+	The existence of oscillatory and superhyperbolic motion in Newtonian systems	1989	Donald G. Saari Zhihong Xia
+	Sharpest Possible Zero Configurational Velocity Surfaces	1986	Donald G. Saari
+ PDF Chat	Random Behavior in Numerical Analysis, Decision Theory, and Macrosystems: Some Impossibility Theorems	1985	Donald G. Saari
+	The manifold structure for collision and for hyperbolic-parabolic orbits in the n-body problem	1984	Donald G. Saari
+	Newton's Method, Circle Maps, and Chaotic Motion	1984	Donald G. Saari John B. Urenko
+	About books	1982	Donald G. Saari Alan Weinstein Keith Kendig Andreas Blass William McGowen Priestley Maynard Thompson John L. Friedman
+ PDF Chat	Apportionment Methods and the House of Representatives	1978	Donald G. Saari
+ PDF Chat	Apportionment Methods and the House of Representatives	1978	Donald G. Saari
+	On Newtonian cosmology with a varying gravitational constant	1977	Donald G. Saari
+	Singularity Theory of Utility Mappings I: Degenerate Maxima and Pareto Optima	1976	Donald G. Saari Carl G. Simon
+	A globally convergent algorithm for determining approximate real zeros of a class of functions	1975	Merrell L. Patrick Donald G. Saari
+ PDF Chat	Collisions are of first category	1975	Donald G. Saari
+	An Elementary Tauberian Theorem for Absolutely Continuous Functions and for Series	1974	Donald G. Saari
+	Regularization and the artificial Earth satellite problem	1974	Donald G. Saari
+	Erratum to "Improbability of Collisions in Newtonian Gravitational Systems"	1972	Donald G. Saari
+ PDF Chat	Erratum to “Improbability of collisions in Newtonian gravitational systems”	1972	Donald G. Saari
+ PDF Chat	Improbability of Collisions in Newtonian Gravitational Systems	1971	Donald G. Saari
+ PDF Chat	Expanding gravitational systems	1971	Donald G. Saari
+	Power series solutions	1970	Donald G. Saari
+	Some Large O Nonlinear Tauberian Theorems	1969	Donald G. Saari
+ PDF Chat	Some large 𝑂 nonlinear Tauberian theorems	1969	Donald G. Saari

Common Coauthors

Coauthor	Papers Together
Deanna Haunsperger	2
Anna E. Bargagliotti	2
Merrell L. Patrick	1
Daniel T. Jessie	1
Andreas Blass	1
John L. Friedman	1
John B. Urenko	1
M. R. Merrifield	1
William McGowen Priestley	1
Zhihong Xia	1
Alan Weinstein	1
Maynard Thompson	1
Carl G. Simon	1
Lingfang Li	1
Keith Kendig	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Expanding gravitational systems	1971	Donald G. Saari	4
+	A Tauberian Theorem Connected with the Problem of Three Bodies	1939	R. P. Boas	3
+	On Simpson's Paradox and the Sure-Thing Principle	1972	Colin R. Blyth	3
+	Collisions, Rings, and Other Newtonian 𝑁-Body Problems	2005	Donald G. Saari	3
+	Uber Einen Tauberschen Satz Im Dreikorperproblem	1939	J. Karamata	3
+ PDF Chat	Sur l'allure du mouvement dans le problème des trois corps quand le temps croît indéfiniment	1922	Jean Chazy	3
+	Dictionaries of Paradoxes for Statistical Tests on k Samples	1992	Deanna Haunsperger	2
+	Newton’s Algorithm and Chaotic Dynamical Systems	1984	Mike Hurley Christoph Martin	2
+ PDF Chat	Improbability of Collisions in Newtonian Gravitational Systems	1971	Donald G. Saari	2
+ PDF Chat	Some Nonlinear Tauberian Theorems	1967	Harry Pollard	2
+	Simpson's Paradox in Real Life	1982	Clifford H. Wagner	2
+	Use of Ranks in One-Criterion Variance Analysis	1952	William Kruskal W. Allen Wallis	2
+	From Arrow’s Theorem to ‘Dark Matter’	2015	Donald G. Saari	2
+	The Laplace Transform. By D. V. Widder. Pp. x, 406. 36s. 1941. Princeton Mathematical series, 6. (Princeton University Press; Humphrey Milford)	1943	T. A. A. B.	2
+ PDF Chat	The fundamental theorem of algebra and complexity theory	1981	Steve Smale	2
+ PDF Chat	The Lack of Consistency for Statistical Decision Procedures	1991	Deanna Haunsperger Donald G. Saari	2
+ PDF Chat	Saari’s conjecture for the collinear $n$-body problem	2004	Florin Diacu Ernesto Pérez-Chavela Manuele Santoprete	2
+	Parabolic orbits in the planar three body problem	1984	Robert W. Easton	2
+ PDF Chat	Mémoire sur le problème des trois corps	1913	Karl F. Sundman	2
+	A computer-assisted proof of Saari’s conjecture for the planar three-body problem	2004	Richard Moeckel	2
+	A proof of Saari's conjecture for the three-body problem in $\R^d$	2008	Richard Moeckel	1
+	Regularization of kepler's problem and the averaging method on a manifold	1970	John W. Moser	1
+	Periodic points and topological entropy of one dimensional maps	1980	Louis Block John Guckenheimer Michał Misiurewicz Lai‐Sang Young	1
+	An Elementary Tauberian Theorem for Absolutely Continuous Functions and for Series	1974	Donald G. Saari	1
+	Regularization and the computation of optimal trajectories	1970	B. D. Tapley	1
+	Iterative Methods for the Solution of Equations.	1967	David M. Young J. F. Traub	1
+	Power series solutions	1970	Donald G. Saari	1
+	Finiteness of relative equilibria of the four-body problem	2005	Marshall Hampton Richard Moeckel	1
+	A Category Representation Paradox	1989	W. D. Kaigh	1
+	Acyclic sets of linear orders: A progress report	2002	Peter C. Fishburn	1
+ PDF Chat	Persistence and Smoothness of Invariant Manifolds for Flows	1971	Neil Fenichel	1
+ PDF Chat	Invariant sets under iteration of rational functions	1965	Hans Brolin	1
+ PDF Chat	Is computing with the finite Fourier transform pure or applied mathematics?	1979	L. Auslander Richard Tolimieri	1
+ PDF Chat	On the nature of turbulence	1971	David Ruelle Floris Takens	1
+ PDF Chat	Sur la représentation des solutions d'une équation linéaire aux différences finies pour les grandes valeurs de la variable	1913	H. Galbrun	1
+	Dictionaries of Paradoxes for Statistical Tests onkSamples	1992	Deanna Haunsperger	1
+	Transformations to extend the range of application of power series solutions of differential equations of motion	1972	J. M. A. Danby	1
+ PDF Chat	Lognormal Infection Times of Online Information Spread	2013	Christian Doerr Norbert Blenn Piet Van Mieghem	1
+ PDF Chat	Saari's conjecture is true for generic vector fields	2007	Tanya Schmah Cristina Stoica	1
+ PDF Chat	A Remarkable Periodic Solution of the Three-Body Problem in the Case of Equal Masses	2000	Alain Chenciner Richard Montgomery	1
+	The Non-Local Existence Problem of Ordinary Differential Equations	1945	Aurel Wintner	1
+	Newton's Method, Circle Maps, and Chaotic Motion	1984	Donald G. Saari John B. Urenko	1
+	Measure of Degenerate Relative Equilibria. I	1976	Julian Palmore	1
+	Mathematics and the “Dark Matter” Puzzle	2015	Donald G. Saari	1
+ PDF Chat	Global Theory of Dynamical Systems	1980	Zbigniew Nitecki Clark Robinson	1
+	Mémoire sur l'itération des fonctions rationnelles	1918	Gastón Julia	1
+ PDF Chat	On inequalities of the Turán type	1954	H. Skovgaard	1
+	Arrow, and unexpected consequences of his theorem	2018	Donald G. Saari	1
+	Le problème des trois corps	2020	Ziauddin Sardar	1
+	Condorcet domains and distributive lattices	2006	Bernard Monjardet	1