Karl Petersen

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All published works

Action	Title	Year	Authors
+ PDF Chat	Polynomial shape adic systems are inherently expansive	2024	Sarah Frick Karl Petersen Sandi Shields
+ PDF Chat	Arrival of information at a target set in a network	2024	Karl Petersen Ibrahim Salama
+ PDF Chat	Density of group languages in shift spaces	2024	Valérie Berthé Herman Goulet-Ouellet Carl-Fredrik Nyberg Brodda Dominique Perrin Karl Petersen
+ PDF Chat	A classification of nonexpansive Bratteli-Vershik systems	2024	Karl Petersen Sandi Shields
+ PDF Chat	A classification of nonexpansive Bratteli-Vershik systems	2024	Karl Petersen Sandi Shields
+	Ergodic Theory: Basic Examples and Constructions	2023	Matthew Nicol Karl Petersen
+ PDF Chat	Asymptotic pressure on some self-similar trees	2022	Karl Petersen Ibrahim Salama
+	Ergodic Theory: Basic Examples and Constructions	2022	Matthew Nicol Karl Petersen
+	Asymptotic pressure on the Cayley graph of a finitely generated semigroup	2021	Karl Petersen Ibrahim Salama
+	Asymptotic pressure on Cayley graphs of finitely generated semigroups	2021	Karl Petersen Ibrahim Salama
+ PDF Chat	Asymptotic pressure on Cayley graphs of finitely generated semigroups	2021	Karl Petersen Ibrahim Salama
+	A classification of nonexpansive Bratteli-Vershik systems	2021	Karl Petersen Sandi Shields
+	Asymptotic pressure on some self-similar trees	2021	Karl Petersen Ibrahim Salama
+ PDF Chat	Periodic codings of Bratteli-Vershik systems	2020	Sarah Frick Karl Petersen Sandi Shields
+ PDF Chat	Entropy on regular trees	2020	Karl Petersen Ibrahim Salama
+	Entropy on regular trees	2019	Karl Petersen Ibrahim Salama
+	Entropy on regular trees	2019	Karl Petersen Ibrahim Salama
+	Periodic codings of Bratteli-Vershik systems	2018	Sarah Frick Karl Petersen Sandi Shields
+ PDF Chat	Tree shift topological entropy	2018	Karl Petersen Ibrahim Salama
+	Periodic codings of Bratteli-Vershik systems	2018	Sarah Frick Karl Petersen Sandi Shields
+	Tree shift complexity	2017	Karl Petersen Ibrahim Salama
+	Tree shift topological entropy	2017	Karl Petersen Ibrahim Salama
+ PDF Chat	Missing Class Groups and Class Number Statistics for Imaginary Quadratic Fields	2017	Samuel Holmin Nicole Jones Pär Kurlberg Cam McLeman Karl Petersen
+ PDF Chat	Dynamical intricacy and average sample complexity	2017	Karl Petersen Benjamin Wilson
+ PDF Chat	Constructive symbolic presentations of rank one measure-preserving systems	2017	Terrence M. Adams Sébastien Ferenczi Karl Petersen
+	Tree shift topological entropy	2017	Karl Petersen Ibrahim Salama
+ PDF Chat	Dynamical properties of some adic systems with arbitrary orderings	2017	Sarah Frick Karl Petersen Sandi Shields
+ PDF Chat	Dynamical properties of some adic systems with arbitrary orderings	2016	Sarah Frick Karl Petersen Sandi Shields
+ PDF Chat	Markov diagrams for some non-Markovian systems	2016	Kathleen Carroll Karl Petersen
+	Measuring Complexity in Cantor Dynamics	2016	Karl Petersen
+	Dynamical intricacy and average sample complexity	2015	Karl Petersen Benjamin Wilson
+	Dynamical intricacy and average sample complexity	2015	Karl Petersen Benjamin Wilson
+	Markov Diagrams for Some Non-Markovian Systems	2015	Kathleen Carroll Karl Petersen
+ PDF Chat	Path count asymptotics and Stirling numbers	2012	Karl Petersen Alexander Varchenko
+ PDF Chat	An adic dynamical system related to the Delannoy numbers	2012	Karl Petersen
+	Measure Preserving Systems	2011	Karl Petersen
+	Ergodic Theory: Basic Examples and Constructions	2011	Matthew Nicol Karl Petersen
+ PDF Chat	An adic dynamical system related to the Delannoy numbers	2011	Karl Petersen
+	An adic dynamical system related to the Delannoy numbers	2011	Karl Petersen
+ PDF Chat	Hidden Markov processes in the context of symbolic dynamics	2011	Mike Boyle Karl Petersen
+	An adic dynamical system related to the Delannoy numbers	2011	Karl Petersen
+ PDF Chat	The Euler Adic Dynamical System and Path Counts in the Euler Graph	2010	Karl Petersen Alexander Varchenko
+	Preface	2010	Karl Petersen Ibrahim Salama
+	Reinforced Random Walks and Adic Transformations	2010	Sarah Frick Karl Petersen
+	Measure Preserving Systems	2009	Karl Petersen
+	Ergodic Theory: Basic Examples and Constructions	2009	Matthew Nicol Karl Petersen
+	Hidden Markov processes in the context of symbolic dynamics	2009	Mike Boyle Karl Petersen
+ PDF Chat	Random permutations and unique fully supported ergodicity for the Euler adic transformation	2008	Sarah Frick Karl Petersen
+	The Euler adic dynamical system and path counts in the Euler graph	2008	Karl Petersen Alexander Varchenko
+ PDF Chat	Random permutations and unique fully supported ergodicity for the Euler adic transformation	2008	Sarah Frick Karl Petersen
+	Random permutations and unique fully supported ergodicity for the Euler adic transformation	2007	Sarah Frick Karl Petersen
+ PDF Chat	Ergodicity of the adic transformation on the Euler graph	2006	Sarah Bailey Michaël Keane Karl Petersen Ibrahim Salama
+ PDF Chat	Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem	2006	Michaël Keane Karl Petersen
+ PDF Chat	Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem	2006	Michael P. Keane Karl Petersen
+	ON THE DEFINITION OF RELATIVE PRESSURE FOR FACTOR MAPS ON SHIFTS OF FINITE TYPE	2005	Karl Petersen Su‐Jin Shin
+ PDF Chat	Dynamical properties of the Pascal adic transformation	2005	Xavier Méla Karl Petersen
+ PDF Chat	Dynamical properties of the Pascal adic transformation	2004	Xavier Méla Karl Petersen
+	A comment on the definition of relative pressure	2004	Karl Petersen Su-Jin Shin
+	Tail fields generated by symbol counts in measure preserving systems	2004	Karl Petersen J Thouvenot
+ PDF Chat	Measures of maximal relative entropy	2003	Karl Petersen Anthony Quas Su-Jin Shin
+	Dynamical properties of the Pascal adic transformation	2003	Xavier Méla Karl Petersen
+	Information Compression and Retention in Dynamical Processes	2002	Karl Petersen
+	Measures of maximal relative entropy	2002	Karl Petersen Anthony Quas Su-Jin Shin
+	Easy and nearly simultaneous proofs of the Ergodic Theorem and Maximal Ergodic Theorem	2000	Karl Petersen
+ PDF Chat	Factor maps between tiling dynamical systems	1999	Karl Petersen
+ PDF Chat	Binomial-coefficient multiples of irrationals	1998	Terrence Adams Karl Petersen
+	Factor maps between tiling dynamical systems	1998	Karl Petersen
+	Binomial-coefficient multiples of irrationals	1998	Terrence Adams Karl Petersen
+ PDF Chat	Binomial-coefficient multiples of irrationals	1998	Terrence Adams Karl Petersen
+ PDF Chat	Symmetric Gibbs measures	1997	Karl Petersen Klaus Schmidt
+	Symmetric Gibbs measures	1996	Karl Petersen Klaus Schmidt
+	Symmetric Gibbs measures	1996	Karl Petersen Klaus Schmidt
+	Ergodic Theory and its Connections with Harmonic Analysis	1995	Karl Petersen Ibrahim Salama
+ PDF Chat	Random ergodic theorems with universally representative sequences	1994	Michael T. Lacey Karl Petersen Dan Rudolph Μáté Wierdl
+ PDF Chat	The Helical Transform as a Connection between Ergodic Theory and Harmonic Analysis	1992	Idris Assani Karl Petersen
+ PDF Chat	The helical transform as a connection between ergodic theory and harmonic analysis	1992	Idris Assani Karl Petersen
+	On the algorithmic complexity of the trajectories of points in dynamical systems	1991	Homer White Karl Petersen
+	SOME CONNECTIONS BETWEEN ERGODIC THEORY AND HARMONIC ANALYSIS	1991	Idris Assani Karl Petersen Homer White
+ PDF Chat	The ergodic theorem with time compression	1990	Karl Petersen
+	Bounded exponential sums	1990	Emmanuel Lesigne Karl Petersen
+ PDF Chat	The Spectral Measure and Hilbert Transform of a Measure-Preserving Transformation	1989	James Campbell Karl Petersen
+ PDF Chat	The spectral measure and Hilbert transform of a measure-preserving transformation	1989	James T. Campbell Karl Petersen
+	The ergodic theorem with time compression	1988	Karl Petersen
+ PDF Chat	Random Power Series Generated by Ergodic Transformations	1986	Judy Halchin Karl Petersen
+ PDF Chat	Chains, entropy, coding	1986	Karl Petersen
+ PDF Chat	Book Review: Recurrence in ergodic theory and combinatorial number theory	1986	Karl Petersen
+ PDF Chat	Random power series generated by ergodic transformations	1986	Judy Halchin Karl Petersen
+	Ergodic Theory	1986	Kôsaku Yushida Shizuo Kakutani Karl Petersen William Parry Arshag Hajian Yuji Ito J. R. Choksi
+	Ergodic Theory	1983	Karl Petersen
+ PDF Chat	Another Proof of the Existence of the Ergodic Hilbert Transform	1983	Karl Petersen
+ PDF Chat	Another proof of the existence of the ergodic Hilbert transform	1983	Karl Petersen
+ PDF Chat	A construction of ergodic BMO functions	1980	Karl Petersen
+ PDF Chat	A Construction of Ergodic BMO Functions	1980	Karl Petersen
+	The converse of the Dominated Ergodic Theorem	1979	Karl Petersen
+	Distribution equivalence of the two maximal functions	1977	Karl Petersen
+	Inequalities for the conjugate function	1977	Karl Petersen
+	The maximal, square and Littlewood-Paley functions	1977	Karl Petersen
+	Brownian Motion, Hardy Spaces and Bounded Mean Oscillation	1977	Karl Petersen
+	Some analytic functions whose boundary values have bounded mean oscillation	1976	Joseph A. Cima Karl Petersen
+ PDF Chat	The spectrum and commutant of a certain weighted translation operator.	1975	Karl Petersen
+ PDF Chat	Induced Flows	1973	Karl Petersen Leonard M. Shapiro
+	On a series of cosecants related to a problem in ergodic theory	1973	Karl Petersen
+	Induced flows	1973	Karl Petersen Leonard Shapiro
+	Extension of minimal transformation groups	1971	Karl Petersen
+ PDF Chat	Disjointness and weak mixing of minimal sets	1970	Karl Petersen
+ PDF Chat	A topologically strongly mixing symbolic minimal set	1970	Karl Petersen

Common Coauthors

Coauthor	Papers Together
Ibrahim Salama	15
Sarah Frick	10
Sandi Shields	9
Matthew Nicol	4
Su-Jin Shin	4
Terrence M. Adams	4
Idris Assani	3
Klaus Schmidt	3
Alexander Varchenko	3
Xavier Méla	3
Homer White	2
Benjamin Wilson	2
Michaël Keane	2
Mike Boyle	2
Anthony Quas	2
Judy Halchin	2
Kathleen Carroll	2
Leonard M. Shapiro	1
J. R. Choksi	1
Samuel Holmin	1
Sarah Bailey	1
Dominique Perrin	1
Nicole Jones	1
Arshag Hajian	1
J Thouvenot	1
Sébastien Ferenczi	1
Dan Rudolph	1
William Parry	1
Emmanuel Lesigne	1
Carl-Fredrik Nyberg Brodda	1
Herman Goulet-Ouellet	1
Benjamin Wilson	1
Joseph A. Cima	1
Ibrahim Salama	1
James T. Campbell	1
Μáté Wierdl	1
James Campbell	1
Pär Kurlberg	1
Michael P. Keane	1
Yuji Ito	1
Shizuo Kakutani	1
Cam McLeman	1
Kôsaku Yushida	1
Michael T. Lacey	1
Leonard Shapiro	1
Valérie Berthé	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	An Introduction to Symbolic Dynamics and Coding	2010	Douglas Lind Brian Marcus	12
+ PDF Chat	Dynamical properties of the Pascal adic transformation	2004	Xavier Méla Karl Petersen	12
+	ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS	1992	Richard H. Herman Ian F. Putnam Christian Skau	12
+	Adic models of ergodic transformations, spectral theory, substitutions, and related topics	1992	Анатолий Моисеевич Вершик A. N. Livshits	11
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg	11
+ PDF Chat	Ergodic Theory on Compact Spaces	1976	Manfred Denker Christian Grillenberger Karl Sigmund	10
+	Ergodic Theory	1982	I. P. Cornfeld Ya. G. Sinaĭ Sergey Fomin	10
+ PDF Chat	Symmetric Gibbs measures	1997	Karl Petersen Klaus Schmidt	10
+ PDF Chat	Ergodicity of the adic transformation on the Euler graph	2006	Sarah Bailey Michaël Keane Karl Petersen Ibrahim Salama	10
+	Lectures on ergodic theory	1956	Paul R. Halmos	8
+ PDF Chat	Topological orbit equivalence and C*-crossed products.	1995	V. Ch. F. Skau Ian F. Putnam Thierry Giordano	8
+	A Relativised Variational Principle for Continuous Transformations	1977	François Ledrappier Peter Walters	8
+ PDF Chat	ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS	1968	A. P. Calderón	7
+ PDF Chat	Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts	1986	Peter Walters	7
+ PDF Chat	Random permutations and unique fully supported ergodicity for the Euler adic transformation	2008	Sarah Frick Karl Petersen	7
+	Asymptotic theory of characters of the symmetric group	1982	A. M. Vershik S. V. Kerov	6
+	An Introduction to Ergodic Theory	1982	Peter Walters	6
+	Approximating the hard square entropy constant with probabilistic methods	2012	Ronnie Pavlov	6
+	Ergodic Theory via Joinings	2003	Eli Glasner	6
+	Eigenvalue theorems in topological transformation groups	1969	Harvey B. Keynes James B. Robertson	6
+	Equilibrium States in Ergodic Theory	1998	Gerhard Keller	6
+	Ergodic Theory	1982	I. P. Cornfeld S. V. Fomin Ya. G. Sinaĭ	6
+	Induced measure preserving transformations	1943	Shizuo Kakutani	5
+	Reinforced Random Walks and Adic Transformations	2010	Sarah Frick Karl Petersen	5
+ PDF Chat	Symbolic dynamics and transformations of the unit interval	1966	William Parry	5
+	Information Compression and Retention in Dynamical Processes	2002	Karl Petersen	5
+ PDF Chat	A class of nonstationary adic transformations	2005	Xavier Méla	5
+	Chacon’s automorphism has minimal self joinings	1980	Andrés del Junco M. Rahe L. Swanson	5
+	A sufficient condition for weak mixing of substitutions and stationary adic transformations	1988	A. N. Livshits	5
+	An Introduction to Infinite Ergodic Theory	1997	Jon Aaronson	5
+	Sequences with minimal block growth	1973	Ethan M. Coven Gustav A. Hedlund	5
+ PDF Chat	Limited scope adic transformations	2009	Sarah Frick	5
+ PDF Chat	Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift	1986	Anne Bertrand-Mathis	5
+	Combinatorics on Bratteli diagrams and dynamical systems	2010	Fabien Durand	5
+ PDF Chat	Eigenvalue Theorems in Topological Transformation Groups	1969	Harvey B. Keynes James B. Robertson	5
+ PDF Chat	Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms	1975	Rufus Bowen	5
+	A theorem on the Markov periodic approximation in ergodic theory	1985	A. M. Vershik	5
+ PDF Chat	Disjointness and weak mixing of minimal sets	1970	Karl Petersen	5
+	β-Expansions and symbolic dynamics	1989	F. Blanchard	5
+ PDF Chat	Statistical limit theorems for suspension flows	2004	Ian Melbourne Andrei Török	4
+ PDF Chat	Ergodicity in Hamiltonian Systems	1995	Carlangelo Liverani Maciej P. Wojtkowski	4
+	Nombres normaux, entropie, translations	1995	Bernard Host	4
+	Decay of correlations for piecewise smooth maps with indifferent fixed points	2004	Huyi Hu	4
+ PDF Chat	Measures of maximal relative entropy	2003	Karl Petersen Anthony Quas Su-Jin Shin	4
+	A probabilistic approach to intermittency	1999	Carlangelo Liverani Benoît Saussol Sandro Vaienti	4
+	Structural stability of C1 diffeomorphisms	1976	Clark Robinson	4
+	Recurrence times and rates of mixing	1999	Lai‐Sang Young	4
+ PDF Chat	Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps	1992	Gerhard Keller Tomasz Nowicki	4
+	Subexponential decay of correlations	2002	Omri Sarig	4
+ PDF Chat	On the ergodic properties of nowhere dispersing billiards	1979	Leonid Bunimovich	4