D.A.J. Rand

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All published works

Action	Title	Year	Authors
+	Bistable boundary conditions implying cusps	2023	D.A.J. Rand Meritxell Sáez
+	Dynamical landscapes of cell fate decisions	2022	Meritxell Sáez James Briscoe D.A.J. Rand
+	Bayesian inference for stochastic oscillatory systems using the phase-corrected Linear Noise Approximation	2022	Ben Swallow D.A.J. Rand Giorgos Minas
+	Quantifying attention via dwell time and engagement in a social media browsing environment	2022	Ziv Epstein Hause Lin Gordon Pennycook D.A.J. Rand
+	How many others have shared this? Experimentally investigating the effects of social cues on engagement, misinformation, and unpredictability on social media	2022	Ziv Epstein Hause Lin Gordon Pennycook D.A.J. Rand
+ PDF Chat	Geometry of gene regulatory dynamics	2021	D.A.J. Rand Archishman Raju Meritxell Sáez Francis Corson Eric D. Siggia
+ PDF Chat	Quantifying cell transitions in C. elegans with data-fitted landscape models	2021	Elena Camacho-Aguilar Aryeh Warmflash D.A.J. Rand
+	Quantifying cell transitions in<i>C. elegans</i>with data-fitted landscape models	2021	Elena Camacho-Aguilar Aryeh Warmflash D.A.J. Rand
+	Do explanations increase the effectiveness of AI-crowd generated fake news warnings?	2021	Ziv Epstein N. Foppiani Sophie Hilgard Sanjana Sharma Elena L. Glassman D.A.J. Rand
+	their universal invariants	2016	D.A.J. Rand
+ PDF Chat	A stochastic transcriptional switch model for single cell imaging data	2015	Kirsty Hey Hiroshi Momiji Karen Featherstone J.R. Davis Michael White D.A.J. Rand Bärbel Finkenstädt
+ PDF Chat	Renormalization of Circle Diffeomorphism Sequences and Markov Sequences	2014	João P. Almeida Alberto A. Pinto D.A.J. Rand
+	Quantifying intrinsic and extrinsic noise in gene transcription using the linear noise approximation: An application to single cell data	2013	Bärbel Finkenstädt Dan J. Woodcock Michał Komorowski Claire V. Harper J.R. Davis Michael White D.A.J. Rand
+	Uniformly hyperbolic diffeomorphisms in every surfaces	2011	Alberto A. Pinto D.A.J. Rand
+	Sensitivity, robustness, and identifiability in stochastic chemical kinetics models	2011	Michał Komorowski María José Costa D.A.J. Rand Michael P. H. Stumpf
+ PDF Chat	Anosov and Circle Diffeomorphisms	2011	João P. Almeida Albert M. Fisher Alberto A. Pinto D.A.J. Rand
+ PDF Chat	Dynamics, Games and Science II	2011	M. M. Peixoto Alberto A. Pinto D.A.J. Rand
+	Arc exchange systems and renormalization	2010	Alberto A. Pinto D.A.J. Rand Flávio Ferreira
+	Train tracks with<i>C</i><sup>1+</sup>self-renormalizable structures	2010	Alberto A. Pinto D.A.J. Rand
+	Fine Structures of Hyperbolic Diffeomorphisms	2009	Alberto A. Pinto D.A.J. Rand Flávio Ferreira
+	Bayesian inference of biochemical kinetic parameters using the linear noise approximation	2009	Michał Komorowski Bärbel Finkenstädt Claire V. Harper D.A.J. Rand
+ PDF Chat	Cantor exchange systems and renormalization	2007	Alberto A. Pinto D.A.J. Rand Flávio Ferreira
+	Solenoid functions for hyperbolic sets on surfaces	2007	Alberto A. Pinto D.A.J. Rand
+ PDF Chat	Bayesian inference for dynamic transcriptional regulation; the Hes1 system as a case study	2007	Elizabeth A. Heron Bärbel Finkenstädt D.A.J. Rand
+	Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics	2007	Alberto A. Pinto D.A.J. Rand Flávio Ferreira
+	Hausdorff Dimension versus Smoothness	2007	Flávio Ferreira Alberto A. Pinto D.A.J. Rand
+	Causes of stretching of Birkhoff sums and mixing in flows on surfaces	2007	Alberto A. Pinto D.A.J. Rand
+	Geometric measures for hyperbolic sets on surfaces	2006	Alberto A. Pinto D.A.J. Rand
+ PDF Chat	RIGIDITY OF HYPERBOLIC SETS ON SURFACES	2005	Alberto A. Pinto D.A.J. Rand
+	Modelling antigenic drift in weekly flu incidence	2005	Bärbel Finkenstädt Alec Morton D.A.J. Rand
+ PDF Chat	Teichmüller spaces and HR structures for hyperbolic surface dynamics	2002	Alberto A. Pinto D.A.J. Rand
+ PDF Chat	Smoothness of Holonomies for Codimension 1 Hyperbolic Dynamics	2002	Alberto A. Pinto D.A.J. Rand
+ PDF Chat	Correction for Bauch and Rand, A moment closure model for sexually transmitted disease transmission through a concurrent partnership network	2001	Christopher Thomas Bauch D.A.J. Rand
+ PDF Chat	Existence, uniqueness and ratio decomposition for Gibbs states via duality	2001	Alberto A. Pinto D.A.J. Rand
+ PDF Chat	Characteristic length scales of spatial models in ecology via fluctuation analysis	1997	Matt J. Keeling Igor Mezić R. J. Hendry Jacqueline McGlade D.A.J. Rand
+ PDF Chat	Correlation models for childhood epidemics	1997	Matt J. Keeling D.A.J. Rand Andrew Morris
+	Spatio-temporal chaos	1996	V M Gundlach D.A.J. Rand
+	ONE-DIMENSIONAL DYNAMICS (Modern Surveys in Mathematics (3) 25)	1996	D.A.J. Rand
+	Classifying C<sup>1</sup>+ structures on dynamical fractals: 2. Embedded trees	1995	Alberto A. Pinto D.A.J. Rand
+	Classifying <i>C</i><sup>1+</sup> structures on dynamical fractals: 1. The moduli space of solenoid functions for Markov maps on train tracks	1995	Alberto A. Pinto D.A.J. Rand
+	Measuring and characterizing spatial patterns, dynamics and chaos in spatially extended dynamical systems and ecologies	1994	D.A.J. Rand
+	Spatio-temporal chaos. II. Unique Gibbs states for higher-dimensional symbolic systems	1993	V M Gundlach D.A.J. Rand
+	Spatio-temporal chaos. I. Hyperbolicity, structural stability, spatio-temporal shadowing and symbolic dynamics	1993	V M Gundlach D.A.J. Rand
+	Spatio-temporal chaos. III. Natural spatio-temporal measures for coupled circle map lattices	1993	V M Gundlach D.A.J. Rand
+	Existence, nonexistence and universal breakdown of dissipative golden invariant tori. II. Convergence of renormalization for mappings of the annulus	1992	D.A.J. Rand
+	Existence, nonexistence and universal breakdown of dissipative golden invariant tori. III. Invariant circles for mappings of the annulus	1992	D.A.J. Rand
+	Existence, nonexistence and universal breakdown of dissipative golden invariant tori. I. Golden critical circle maps	1992	D.A.J. Rand
+	Global phase space universality, smooth conjugacies and renormalization. II. The Ck+ alphacase using rapid convergence of Markov families	1992	Alberto A. Pinto D.A.J. Rand
+	Chaotic stochasticity: a ubiquitous source of unpredictability in epidemics	1991	D.A.J. Rand Howard B. Wilson
+	Local adaptive Galerkin bases for large-dimensional dynamical systems	1991	D.S. Broomhead R. Indik Alan C. Newell D.A.J. Rand
+ PDF Chat	The singularity spectrum<i>f</i>(α) for cookie-cutters	1989	D.A.J. Rand
+	Fractal bifurcation sets, renormalization strange sets and their universal invariants	1987	D.A.J. Rand
+	The entropy function for characteristic exponents	1987	Tomas Bohr D.A.J. Rand
+	Universal properties of maps of the circle with ?-singularities	1983	Leo Jonker D.A.J. Rand
+	Bifurcations in one dimension	1981	Leo Jonker D.A.J. Rand
+	Bifurcations in one dimension	1980	Leo Jonker D.A.J. Rand
+	The Periodic Orbits and Entropy of Certain Maps of the Unit Interval	1980	Leo Jonker D.A.J. Rand
+	On the local stability of wave fronts defined by eikonal equations	1980	D.A.J. Rand
+	The topological classification of Lorenz attractors	1978	D.A.J. Rand
+ PDF Chat	Bifurcations of the forced van der Pol oscillator	1978	Philip Holmes D.A.J. Rand
+	The bifurcations of duffing's equation: An application of catastrophe theory	1976	Philip Holmes D.A.J. Rand
+	A SPACE OF VALUATION SUBALGEBRAS	1975	D.A.J. Rand
+	REGULAR RINGS AND VALUATION IDEALS	1974	D. Kirby D.A.J. Rand

Common Coauthors

Coauthor	Papers Together
Alberto A. Pinto	20
Bärbel Finkenstädt	5
Flávio Ferreira	5
V M Gundlach	4
Leo Jonker	4
Michał Komorowski	3
Ziv Epstein	3
Meritxell Sáez	3
João P. Almeida	2
Gordon Pennycook	2
Philip Holmes	2
Hause Lin	2
Aryeh Warmflash	2
Elena Camacho-Aguilar	2
Michael White	2
J.R. Davis	2
Matt J. Keeling	2
Claire V. Harper	2
R. J. Hendry	1
N. Foppiani	1
Karen Featherstone	1
Tomas Bohr	1
M. M. Peixoto	1
Sophie Hilgard	1
D. Kirby	1
Christopher Thomas Bauch	1
Archishman Raju	1
Hiroshi Momiji	1
Andrew Morris	1
Alan C. Newell	1
D. S. Broomhead	1
Kirsty Hey	1
Francis Corson	1
Howard B. Wilson	1
María José Costa	1
Giorgos Minas	1
Igor Mezić	1
R. Indik	1
James Briscoe	1
Alec Morton	1
Sanjana Sharma	1
Dan J. Woodcock	1
Jacqueline McGlade	1
Elizabeth A. Heron	1
Albert M. Fisher	1
Ben Swallow	1
Eric D. Siggia	1
Michael P. H. Stumpf	1
Elena L. Glassman	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Smoothness of Holonomies for Codimension 1 Hyperbolic Dynamics	2002	Alberto A. Pinto D.A.J. Rand	12
+ PDF Chat	Teichmüller spaces and HR structures for hyperbolic surface dynamics	2002	Alberto A. Pinto D.A.J. Rand	10
+	Global Stability of Dynamical Systems	1987	Michael Shub	10
+	Ergodic Theory and Differentiable Dynamics	1987	Ricardo Mañé	10
+	Expanding attractors	1974	R. F. Williams	9
+ PDF Chat	RIGIDITY OF HYPERBOLIC SETS ON SURFACES	2005	Alberto A. Pinto D.A.J. Rand	9
+ PDF Chat	Stable manifolds for hyperbolic sets	1969	Morris W. Hirsch Charles Pugh	9
+ PDF Chat	Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms	1975	Rufus Bowen	9
+ PDF Chat	The circle and the solenoid	2006	Alberto A. Pinto Dennis Sullivan	8
+	On Codimension One Anosov Diffeomorphisms	1970	Sheldon E. Newhouse	8
+	The Teichm�ller space of an Anosov diffeomorphism ofT 2	1993	Elise E. Cawley	8
+ PDF Chat	Global hyperbolicity of renormalization for C<sup>r</sup>unimodal mappings	2006	Edson de Faria Welington de Melo Alberto A. Pinto	7
+	Classifying C<sup>1</sup>+ structures on dynamical fractals: 2. Embedded trees	1995	Alberto A. Pinto D.A.J. Rand	7
+ PDF Chat	On the geometry and dynamics of diffeomorphisms of surfaces	1988	William P. Thurston	7
+	Solenoid functions for hyperbolic sets on surfaces	2007	Alberto A. Pinto D.A.J. Rand	7
+	Classifying <i>C</i><sup>1+</sup> structures on dynamical fractals: 1. The moduli space of solenoid functions for Markov maps on train tracks	1995	Alberto A. Pinto D.A.J. Rand	7
+ PDF Chat	Anosov diffeomorphisms on tori	1969	John Franks	7
+	Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces	2003	Flávio Ferreira Alberto A. Pinto	7
+	There are No New Anosov Diffeomorphisms on Tori	1974	Anthony Manning	7
+ PDF Chat	Sur la Conjugaison Différentiable des Difféomorphismes du Cercle a des Rotations	1979	Michael R. Herman	7
+ PDF Chat	Stable manifolds and hyperbolic sets	1970	Morris W. Hirsch Charles Pugh	6
+	Differentiable Structures on Fractal Like Sets, Determined by Intrinsic Scaling Functions on Dual Cantor Sets	1988	Dennis Sullivan	6
+ PDF Chat	Cantor exchange systems and renormalization	2007	Alberto A. Pinto D.A.J. Rand Flávio Ferreira	6
+	Gauss Measures for Transformations on the Space of Interval Exchange Maps	1982	William A. Veech	6
+ PDF Chat	Differentiable dynamical systems	1967	Stephen T. Smale	6
+ PDF Chat	Existence, uniqueness and ratio decomposition for Gibbs states via duality	2001	Alberto A. Pinto D.A.J. Rand	6
+	Fine Structures of Hyperbolic Diffeomorphisms	2009	Alberto A. Pinto D.A.J. Rand Flávio Ferreira	6
+	Explosion of smoothness from a point to everywhere for conjugacies between Markov families	2001	F. Ferreira Alberto A. Pinto	6
+	Interval Exchange Transformations and Measured Foliations	1982	Howard Masur	5
+	The geometry and topology of three-manifolds	1979	William P. Thurston	5
+	Differentiable Dynamical Systems	1980	Steve Smale	5
+	Markov partitions and C-diffeomorphisms	1968	Ya. G. Sinaĭ	5
+	Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics	2007	Alberto A. Pinto D.A.J. Rand Flávio Ferreira	5
+	Denjoy’s theorem with exponents	1999	Alec Norton	5
+ PDF Chat	Conjugaison différentiable des difféomorphismes du cercle dont le nombre de rotation vérifie une condition diophantienne	1984	Jean-Christophe Yoccoz	5
+	Universal properties of maps of the circle with ?-singularities	1983	Leo Jonker D.A.J. Rand	4
+	Geometric measures for hyperbolic sets on surfaces	2006	Alberto A. Pinto D.A.J. Rand	4
+	Anosov diffeomorphisms	1970	John Franks	4
+ PDF Chat	Diﬀéomorphismes de Smale des surfaces	2018	Christian Bonatti Rémi Langevin	4
+	Spacetime chaos in coupled map lattices	1988	Leonid Bunimovich Ya. G. Sinaĭ	4
+	Gene-free methodology for cell fate dynamics during development	2017	Francis Corson Eric D. Siggia	4
+ PDF Chat	Universal properties of maps on an interval	1980	Pierre Collet Jean-Pierre Eckmann Oscar E. Lanford	3
+ PDF Chat	Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems	2008	Tina Toni David Welch Natalja Strelkowa Andreas Ipsen Michael P. H. Stumpf	3
+ PDF Chat	A Regularity Lemma for Functions of Several Variables	1988	Jean-Lin Journé	3
+	Exact stochastic simulation of coupled chemical reactions	1977	Daniel T. Gillespie	3
+	Spatio-temporal chaos. II. Unique Gibbs states for higher-dimensional symbolic systems	1993	V M Gundlach D.A.J. Rand	3
+	The entropy function for characteristic exponents	1987	Tomas Bohr D.A.J. Rand	3
+	Arc exchange systems and renormalization	2010	Alberto A. Pinto D.A.J. Rand Flávio Ferreira	3
+	Existence, nonexistence and universal breakdown of dissipative golden invariant tori. I. Golden critical circle maps	1992	D.A.J. Rand	3
+ PDF Chat	Invariants for smooth conjugacy of hyperbolic dynamical systems II	1987	Rafael de la Llave	3