John Rhodes

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All published works

Action	Title	Year	Authors
+ PDF Chat	Master List of Examples in Complexity Theory of Finite Semigroup Theory	2025	Stuart Margolis John Rhodes
+ PDF Chat	Aperiodic Flows on Finite Semigroups: Foundations and First Examples	2024	Stuart Margolis John Rhodes
+	Degree 2 transformation semigroups as continuous maps on graphs: Complexity and examples	2023	Stuart Margolis John Rhodes
+	Topics in Boolean Representable Simplicial Complexes	2023	Stuart Margolis John Rhodes Pedro V. Silva
+ PDF Chat	Upper Bounds on Mixing Time of Finite Markov Chains	2022	John Rhodes Anne Schilling
+ PDF Chat	Holonomy theorem for finite semigroups	2022	John Rhodes Anne Schilling Pedro V. Silva
+	Krohn-Rhodes complexity 1 decidable implies that complexity $n \geqslant 0$ is decidable	2021	Stuart Margolis John Rhodes Anne Schilling
+ PDF Chat	Degree 2 transformation semigroups as continuous maps on graphs: Foundations and structure	2021	Stuart Margolis John Rhodes
+ PDF Chat	On the Dowling and Rhodes lattices and wreath products	2021	Stuart Margolis John Rhodes Pedro V. Silva
+ PDF Chat	Markov Chains Through Semigroup Graph Expansions (A Survey)	2021	John Rhodes Anne Schilling
+	Curves and graphs	2020	D.S. Sivia John Rhodes S.G. Rawlings
+	Differentiation	2020	D.S. Sivia John Rhodes S.G. Rawlings
+	Complex numbers	2020	D.S. Sivia John Rhodes S.G. Rawlings
+	Trigonometry	2020	D.S. Sivia John Rhodes S.G. Rawlings
+	Bounds on mixing time of finite Markov chains	2020	John Rhodes Anne Schilling
+	Holonomy theorem for finite semigroups	2020	John Rhodes Anne Schilling Pedro V. Silva
+ PDF Chat	Truncated boolean representable simplicial complexes	2020	Stuart Margolis John Rhodes Pedro V. Silva
+	Degree 2 Transformation Semigroups as Continuous Maps on Graphs: Foundations and Structure	2020	Stuart Margolis John Rhodes
+ PDF Chat	On the Wilson monoid of a pairwise balanced design	2020	Stuart Margolis John Rhodes Pedro V. Silva
+ PDF Chat	Normal distributions of finite Markov chains	2019	John Rhodes Anne Schilling
+ PDF Chat	Join irreducible semigroups	2019	Edmond W. H. Lee John Rhodes Benjamin Steinberg
+	On the Wilson Monoid of a Pairwise Balanced Design	2019	Stuart Margolis John Rhodes Pedro V. Silva
+	Truncated Boolean Representable Simplicial Complexes	2019	Stuart Margolis John Rhodes Pedro V. Silva
+	Global local covers	2019	John Rhodes Benjamin Steinberg Jean-Camille Birget
+ PDF Chat	Unified theory for finite Markov chains	2019	John Rhodes Anne Schilling
+	Global local covers	2019	John Rhodes Benjamin Steinberg J. C. Birget
+ PDF Chat	The lattice of flats of a boolean representable simplicial complex	2018	Stuart Margolis John Rhodes Pedro V. Silva
+ PDF Chat	On the subsemigroup complex of an aperiodic Brandt semigroup	2018	Stuart Margolis John Rhodes Pedro V. Silva
+	Grand unified theory for Tsetlin libraries	2017	John Rhodes Anne Schilling
+	On the Dowling and Rhodes lattices and wreath products	2017	Stuart Margolis John Rhodes Pedro V. Silva
+	On the subsemigroup complex of an aperiodic Brandt semigroup	2017	Stuart Margolis John Rhodes Pedro V. Silva
+ PDF Chat	On the atoms of algebraic lattices arising in 𝔮-theory	2017	Attila Egri-Nagy Marcel Jackson John Rhodes Benjamin Steinberg
+	Join irreducible semigroups	2017	Edmond W. H. Lee John Rhodes Benjamin Steinberg
+ PDF Chat	Random walks on semaphore codes and delay de Bruijn semigroups	2016	John Rhodes Anne Schilling Pedro V. Silva
+ PDF Chat	The semaphore codes attached to a Turing machine via resets and their various limits	2016	John Rhodes Anne Schilling Pedro V. Silva
+	On the atoms of algebraic lattices arising in $q$-theory	2016	Attila Egri-Nagy Marcel Jackson John Rhodes Benjamin Steinberg
+	On the lattice of flats of a boolean representable simplicial complex	2015	Stuart Margolis John Rhodes Pedro V. Silva
+	On the topology of a boolean representable simplicial complex	2015	Stuart Margolis John Rhodes Pedro V. Silva
+	Shellability and Homotopy Type	2015	John Rhodes Pedro V. Silva
+	Open Questions	2015	John Rhodes Pedro V. Silva
+	Boolean and Superboolean Matrices	2015	John Rhodes Pedro V. Silva
+ PDF Chat	Boolean Representations of Simplicial Complexes and Matroids	2015	John Rhodes Pedro V. Silva
+	Operations on Simplicial Complexes	2015	John Rhodes Pedro V. Silva
+	Paving Simplicial Complexes	2015	John Rhodes Pedro V. Silva
+ PDF Chat	Superboolean rank and the size of the largest triangular submatrix of a random matrix	2014	Zur Izhakian Svante Janson John Rhodes
+ PDF Chat	FURTHER RESULTS ON MONOIDS ACTING ON TREES	2012	John Rhodes Pedro V. Silva
+	A new notion of vertex independence and rank for finite graphs	2012	John Rhodes Pedro V. Silva
+	Matroids, hereditary collections and simplicial complexes having boolean representations	2012	John Rhodes Pedro V. Silva
+ PDF Chat	An effective lower bound for group complexity of finite semigroups and automata	2011	Karsten Henckell John Rhodes Benjamin Steinberg
+	C-independence and c-rank of posets and lattices	2011	Zur Izhakian John Rhodes
+	Superboolean rank and the size of the largest triangular submatrix of a random matrix	2011	Zur Izhakian Svante Janson John Rhodes
+	BOOLEAN REPRESENTATIONS OF MATROIDS AND LATTICES	2011	Zur Izhakian John Rhodes
+ PDF Chat	Representation theory of finite semigroups over semirings	2011	Zur Izhakian John Rhodes Benjamin Steinberg
+	Geometric Semigroup Theory	2011	Jon McCammond John Rhodes Benjamin Steinberg
+	New Representations of Matroids and Generalizations	2011	Zur Izhakian John Rhodes
+	Representation Theory of Finite Semigroups over Semirings	2010	Zur Izhakian John Rhodes Benjamin Steinberg
+ PDF Chat	A PROFINITE APPROACH TO STABLE PAIRS	2010	Karsten Henckell John Rhodes Benjamin Steinberg
+ PDF Chat	APERIODIC POINTLIKES AND BEYOND	2010	Karsten Henckell John Rhodes Benjamin Steinberg
+	The q-operator	2008	John Rhodes Benjamin Steinberg
+ PDF Chat	Closed subgroups of free profinite monoids are projective profinite groups	2008	John Rhodes Benjamin Steinberg
+	An Effective Lower Bound for Group Complexity of Finite Semigroups and Automata	2008	Karsten Henckell John Rhodes Benjamin Steinberg
+	Aperiodic Pointlikes and Beyond	2007	Karsten Henckell John Rhodes Benjamin Steinberg
+	An algebraic analysis of Turing machines and Cook's Theorem leading to a profinite fractal dierential equation and a random walk on a deterministic Turing machine	2006	John Rhodes Pedro V. Silva
+	A Profinite Approach to Stable Pairs	2006	Karsten Henckell John Rhodes Benjamin Steinberg
+	Type-II conjecture is true for finite I-trivial monoids	1992	Karsten Henckell John Rhodes
+	ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I	1991	Karsten Henckell Stuart Margolis Jean-Éric Pin John Rhodes
+ PDF Chat	Ash's type II theorem, profinite topology and Malcev products	1991	Karsten Henckell Stuart Margolis Jean-Éric Pin John Rhodes
+	Reduction theorem for the Type-II conjecture for finite monoids	1990	Karsten Henckell John Rhodes
+	Survey of Global Semigroup Theory	1990	John Rhodes
+	The kernel of monoid morphisms	1989	John Rhodes Bret Tilson
+	Decomposition techniques for finite semigroups, using categories II	1989	John Rhodes Pascal Weil
+	Group theory via global semigroup theory	1989	Jean-Camille Birget John Rhodes
+	Prime decomposition theorem for arbitrary semigroups: general holonomy decomposition and synthesis theorem	1988	Karsten Henckell Susan Lazarus John Rhodes
+	A short proof that Ŝ+A is finite if S is finite	1988	John Rhodes
+	New Techniques in Global Semigroup Theory	1987	John Rhodes
+	Infinite iteration of matrix semigroups II. Structure theorem for arbitrary semigroups up to aperiodic morphism	1986	John Rhodes
+	Kernel systems—A global study of homomorphisms on finite semigroups	1977	John Rhodes
+	A reduction theorem for complexity of finite semigroups	1975	John Rhodes Bret Tilson
+	The kernel of a homomorphism on a finite semigroup	1974	John Rhodes
+	Proof of the fundamental Lemma of complexity (strong version) for arbitrary finite semigroups	1974	John Rhodes
+	Chapter 4. Synthesis of the classical and modern theory of finite semigroups	1973	John Rhodes Dennis Allen
+	Global structure theories for finite semigroups—Introduction	1973	John Rhodes
+	Proof of the Fundamental Lemma of Complexity (weak version) for arbitrary finite semigroups	1971	John Rhodes
+	Algebraic theory of finite semigroups	1970	John Rhodes
+	Complexity of Finite Semigroups	1968	Kenneth Krohn John Rhodes
+	Maximal subsemigroups of finite semigroups	1968	N. Graham Ron Graham John Rhodes
+	A homomorphism theorem for finite semigroups	1967	John Rhodes
+	Some results on finite semigroups	1966	John Rhodes
+ PDF Chat	A property of finite simple non-abelian groups	1965	Wolfgang Maurer John Rhodes
+ PDF Chat	A Property of Finite Simple Non-Abelian Groups	1965	W. D. Maurer John Rhodes

Common Coauthors

Coauthor	Papers Together
Pedro V. Silva	26
Stuart Margolis	20
Benjamin Steinberg	17
Karsten Henckell	11
Anne Schilling	11
Zur Izhakian	7
D.S. Sivia	4
S.G. Rawlings	4
Jean-Éric Pin	2
Marcel Jackson	2
Edmond W. H. Lee	2
Bret Tilson	2
Attila Egri-Nagy	2
Svante Janson	2
Jean Camille Birget	1
Susan Lazarus	1
Wolfgang Maurer	1
Kenneth Krohn	1
Jon McCammond	1
W. D. Maurer	1
Ron Graham	1
J. C. Birget	1
Pascal Weil	1
N. Graham	1
Jean-Camille Birget	1
Dennis Allen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The algebraic theory of semigroups	1964	A. H. Clifford G. B. Preston	22
+	New Representations of Matroids and Generalizations	2011	Zur Izhakian John Rhodes	11
+	On the Structure of Semigroups	1951	J. A. Green	9
+ PDF Chat	Boolean Representations of Simplicial Complexes and Matroids	2015	John Rhodes Pedro V. Silva	9
+	INEVITABLE GRAPHS: A PROOF OF THE TYPE II CONJECTURE AND SOME RELATED DECISION PROCEDURES	1991	C. J. Ash	8
+	Some results on finite semigroups	1966	John Rhodes	8
+ PDF Chat	The Tropical Rank of a Tropical Matrix	2009	Zur Izhakian Louis Rowen	8
+	Proof of the Fundamental Lemma of Complexity (weak version) for arbitrary finite semigroups	1971	John Rhodes	8
+ PDF Chat	Markov chains, ${\mathscr R}$-trivial monoids and representation theory	2015	Arvind Ayyer Anne Schilling Benjamin Steinberg Nicolas M. Thiéry	8
+	C-independence and c-rank of posets and lattices	2011	Zur Izhakian John Rhodes	7
+	Infinite iteration of matrix semigroups II. Structure theorem for arbitrary semigroups up to aperiodic morphism	1986	John Rhodes	7
+	BOOLEAN REPRESENTATIONS OF MATROIDS AND LATTICES	2011	Zur Izhakian John Rhodes	7
+	Geometric Semigroup Theory	2011	Jon McCammond John Rhodes Benjamin Steinberg	7
+ PDF Chat	Supertropical matrix algebra	2011	Zur Izhakian Louis Rowen	7
+	Tropical Arithmetic and Tropical Matrix Algebra	2005	Zur Izhakian	6
+	Kernel systems—A global study of homomorphisms on finite semigroups	1977	John Rhodes	6
+ PDF Chat	Unified theory for finite Markov chains	2019	John Rhodes Anne Schilling	6
+	None	2000	Kenneth S. Brown	6
+	Complexity of Finite Semigroups	1968	Kenneth Krohn John Rhodes	6
+	k-transformation semigroups and a conjecture of Tilson	1980	Stuart Margolis	5
+ PDF Chat	Random walks and hyperplane arrangements	1998	Kenneth S. Brown Persi Diaconis	5
+ PDF Chat	Random walks on semaphore codes and delay de Bruijn semigroups	2016	John Rhodes Anne Schilling Pedro V. Silva	5
+ PDF Chat	Directed Nonabelian Sandpile Models on Trees	2015	Arvind Ayyer Anne Schilling Benjamin Steinberg Nicolas M. Thiéry	5
+	On Pointlike Sets and Joins of Pseudovarieties	1998	Benjamin Steinberg	5
+	A homomorphism theorem for finite semigroups	1967	John Rhodes	5
+ PDF Chat	Combinatorial topology and the global dimension of algebras arising in combinatorics	2015	Stuart Margolis Franco Saliola Benjamin Steinberg	5
+	Finite semigroups with commuting idempotents	1987	C. J. Ash T. E. Hall	5
+	Pointlike sets: the finest aperiodic cover of a finite semigroup	1988	Karsten Henckell	5
+ PDF Chat	Categories for the Working Mathematician	1971	Saunders Mac Lane	4
+	New Techniques in Global Semigroup Theory	1987	John Rhodes	4
+	On the Abstract Properties of Linear Dependence1	2009	Hassler Whitney	4
+ PDF Chat	Combinatorial Markov chains on linear extensions	2013	Arvind Ayyer Steven Klee Anne Schilling	4
+	An upper bound for the complexity of transformation semigroups	1981	Stuart Margolis Bret Tilson	4
+	The representation theory of the monoid of all partial functions on a set and related monoids as EI-category algebras	2015	Itamar Stein	4
+	Constructing the free erection of a geometry	1979	Hien Nguyen	4
+	Proof of the fundamental Lemma of complexity (strong version) for arbitrary finite semigroups	1974	John Rhodes	4
+	The Tropical Rank of a Tropical Matrix	2006	Zur Izhakian	4
+ PDF Chat	An interesting combinatorial method in the theory of locally finite semigroups	1971	Thomas K. Brown	4
+ PDF Chat	An effective lower bound for group complexity of finite semigroups and automata	2011	Karsten Henckell John Rhodes Benjamin Steinberg	4
+	HYPERDECIDABLE PSEUDOVARIETIES AND THE CALCULATION OF SEMIDIRECT PRODUCTS	1999	Jorge Almeida	4
+	An Introduction to Algebraic Topology	1988	Joseph Rotman	4
+	Abstract length functions in groups	1976	Ian Chiswell	3
+	Tropical Algebraic Geometry	2009	Illia Itenberg Grigory Mikhalkin Eugeniĭ Shustin	3
+	Matrix representations of semigroups	1957	W. D. Munn	3
+	Edge flipping in graphs	2011	Fan Chung Ron Graham	3
+	The stationary distribution of an interesting Markov chain	1972	W. J. Hendricks	3
+ PDF Chat	Random Walks, Arrangements, Cell Complexes, Greedoids, and Self-Organizing Libraries	2008	Anders Björner	3
+ PDF Chat	Shellable Nonpure Complexes and Posets. I	1996	Anders Björner Michelle L. Wachs	3
+ PDF Chat	FURTHER RESULTS ON MONOIDS ACTING ON TREES	2012	John Rhodes Pedro V. Silva	3
+	Finite Markov chains	1976	John G. Kemeny J. Laurie Snell	3