Ian D. Morris

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All published works

Action	Title	Year	Authors
+ PDF Chat	Projections of self-affine fractals	2025	Ian D. Morris Çağrı Sert
+	On marginal growth rates of matrix products	2025	Jonah Varney Ian D. Morris
+ PDF Chat	Thermodynamic formalism of countably generated self-affine sets	2024	Antti Käenmäki Ian D. Morris
+ PDF Chat	A Stability Dichotomy for Discrete-Time Linear Switching Systems in Dimension Two	2024	Ian D. Morris
+ PDF Chat	An Irreducible Linear Switching System Whose Unique Barabanov Norm Is Not Strictly Convex	2024	Ian D. Morris
+ PDF Chat	A note on the marginal instability rates of two-dimensional linear cocycles	2023	Ian D. Morris Jonah Varney
+	A note on the marginal instability rates of two-dimensional linear cocycles	2023	Ian D. Morris Jonah Varney
+	A stability dichotomy for discrete-time linear switching systems in dimension two	2023	Ian D. Morris
+	An irreducible linear switching system whose unique Barabanov norm is not strictly convex	2023	Ian D. Morris
+	A variational principle relating self-affine measures to self-affine sets	2023	Ian D. Morris Çağrı Sert
+	Exceptional projections of self-affine sets with strong irreducibility	2023	Ian D. Morris
+	A converse statement to Hutchinson’s theorem and a dimension gap for self-affine measures	2022	Ian D. Morris Çağrı Sert
+ PDF Chat	On dense intermingling of exact overlaps and the open set condition	2022	Ian D. Morris
+ PDF Chat	Fast approximation of the affinity dimension for dominated affine iterated function systems	2022	Ian D. Morris
+	Marginally unstable discrete-time linear switched systems with highly irregular trajectory growth	2022	Ian D. Morris
+	On affine iterated function systems which robustly admit an invariant affine subspace	2022	Ian D. Morris
+ PDF Chat	Fast Approximation of the $p$-Radius, Matrix Pressure, or Generalized Lyapunov Exponent for Positive and Dominated Matrices	2022	Ian D. Morris
+	On dense intermingling of exact overlaps and the open set condition	2022	Ian D. Morris
+	On marginal growth rates of matrix products	2022	Jonah Varney Ian D. Morris
+	When does an affine iterated function system preserve an affine subspace for all choices of translation vectors	2021	Ian D. Morris
+ PDF Chat	How long is the chaos game?	2021	Ian D. Morris Natalia Jurga
+ PDF Chat	Totally Ergodic Generalised Matrix Equilibrium States have the Bernoulli Property	2021	Ian D. Morris
+	L <sup> q </sup>-spectra of self-affine measures: closed forms, counterexamples, and split binomial sums	2021	Jonathan M. Fraser Lawrence D. Lee Ian D. Morris Han Yu
+	Marginally unstable discrete-time linear switched systems with highly irregular trajectory growth	2021	Ian D. Morris
+	On affine iterated function systems which robustly admit an invariant affine subspace	2021	Ian D. Morris
+	Prevalent uniqueness in ergodic optimisation	2020	Ian D. Morris
+	Totally ergodic generalised matrix equilibrium states have the Bernoulli property	2020	Ian D. Morris
+ PDF Chat	A strongly irreducible affine iterated function system with two invariant measures of maximal dimension	2020	Ian D. Morris Çağrı Sert
+ PDF Chat	Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles	2020	Balázs Bárány Antti Käenmäki Ian D. Morris
+	How long is the Chaos Game	2020	Natalia Jurga Ian D. Morris
+	Prevalent uniqueness in ergodic optimisation	2020	Ian D. Morris
+ PDF Chat	Analyticity of the affinity dimension for planar iterated function systems with matrices which preserve a cone	2020	Natalia Jurga Ian D. Morris
+	Totally ergodic generalised matrix equilibrium states have the Bernoulli property	2020	Ian D. Morris
+	Prevalent uniqueness in ergodic optimisation	2020	Ian D. Morris
+ PDF Chat	Effective estimates on the top Lyapunov exponents for random matrix products	2019	Natalia Jurga Ian D. Morris
+	A strongly irreducible affine iterated function system with two invariant measures of maximal dimension	2019	Ian D. Morris Çağrı Sert
+	Characterization of dominated splittings for operator cocycles acting on Banach spaces	2019	Alex Blumenthal Ian D. Morris
+	Fast approximation of the $p$-radius, matrix pressure or generalised Lyapunov exponent for positive and dominated matrices	2019	Ian D. Morris
+ PDF Chat	An explicit formula for the pressure of box-like affine iterated function systems	2019	Ian D. Morris
+	A strongly irreducible affine iterated function system with two invariant measures of maximal dimension	2019	Ian D. Morris Çağrı Sert
+	Fast approximation of the $p$-radius, matrix pressure or generalised Lyapunov exponent for positive and dominated matrices	2019	Ian D. Morris
+	A converse statement to Hutchinson's theorem and a dimension gap for self-affine measures	2019	Ian D. Morris Çağrı Sert
+	Some observations on Käenmäki measures	2018	Ian D. Morris
+ PDF Chat	Equilibrium states of generalised singular value potentials and applications to affine iterated function systems	2018	Jairo Bochi Ian D. Morris
+	Domination, almost additivity, and thermodynamical formalism for planar matrix cocycles	2018	Balázs Bárány Antti Käenmäki Ian D. Morris
+	$L^q$-spectra of self-affine measures: closed forms, counterexamples, and split binomial sums	2018	Jonathan M. Fraser Lawrence D. Lee Ian D. Morris Yu Han
+	Fast approximation of the affinity dimension for dominated affine iterated function systems	2018	Ian D. Morris
+	Domination, almost additivity, and thermodynamic formalism for planar matrix cocycles	2018	Balázs Bárány Antti Käenmäki Ian D. Morris
+ PDF Chat	A necessary and sufficient condition for a matrix equilibrium state to be mixing	2017	Ian D. Morris
+ PDF Chat	Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension	2017	Antti Käenmäki Ian D. Morris
+	Some observations on Käenmäki measures	2017	Ian D. Morris
+	Some observations on K\"aenm\"aki measures	2017	Ian D. Morris
+	Equilibrium states of generalised singular value potentials and applications to affine iterated function systems	2017	Jairo Bochi Ian D. Morris
+	On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems	2017	Ian D. Morris Pablo Shmerkin
+ PDF Chat	Lyapunov-maximizing measures for pairs of weighted shift operators	2017	Ian D. Morris
+	An explicit formula for the pressure of box-like affine iterated function systems	2017	Ian D. Morris
+ PDF Chat	Ergodic properties of matrix equilibrium states	2017	Ian D. Morris
+	Generic properties of the lower spectral radius for some low-rank pairs of matrices	2017	Ian D. Morris
+	On Falconer's formula for the generalised Rényi dimension of a self-affine measure	2017	Ian D. Morris
+	An explicit formula for the pressure of box-like affine iterated function systems	2017	Ian D. Morris
+	Equilibrium states of generalised singular value potentials and applications to affine iterated function systems	2017	Jairo Bochi Ian D. Morris
+	Some observations on Käenmäki measures	2017	Ian D. Morris
+	A necessary and sufficient condition for a matrix equilibrium state to be mixing	2016	Ian D. Morris
+	An inequality for the matrix pressure function and applications	2016	Ian D. Morris
+	Ergodic properties of matrix equilibrium states	2016	Ian D. Morris
+	On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems	2016	Ian D. Morris Pablo Shmerkin
+	On equality of Hausdorff and affinity dimensions, via self-affine measures on positive subsystems	2016	Ian D. Morris Pablo Shmerkin
+	Ergodic properties of matrix equilibrium states	2016	Ian D. Morris
+	A necessary and sufficient condition for a matrix equilibrium state to be mixing	2016	Ian D. Morris
+	Characterization of dominated splittings for operator cocycles acting on Banach spaces	2015	Alex Blumenthal Ian D. Morris
+	A rigorous version of R.P. Brent's model for the binary Euclidean algorithm	2015	Ian D. Morris
+	Lyapunov-maximising measures for pairs of weighted shift operators	2015	Ian D. Morris
+	Generic properties of the lower spectral radius for some low-rank pairs of matrices	2015	Ian D. Morris
+	On Falconer's formula for the generalised Renyi dimension of a self-affine measure	2015	Ian D. Morris
+	An inequality for the matrix pressure function and applications	2015	Ian D. Morris
+	Inequalities for some matrix pressure functions and applications	2015	Ian D. Morris
+ PDF Chat	A note on configurations in sets of positive density which occur at all large scales	2015	Ian D. Morris
+	A short proof that the number of division steps in the Euclidean algorithm is normally distributed	2015	Ian D. Morris
+	Characterization of dominated splittings for operator cocycles acting on Banach spaces	2015	Alex Blumenthal Ian D. Morris
+	Lyapunov-maximising measures for pairs of weighted shift operators	2015	Ian D. Morris
+	A short proof that the number of division steps in the Euclidean algorithm is normally distributed	2015	Ian D. Morris
+	Generic properties of the lower spectral radius for some low-rank pairs of matrices	2015	Ian D. Morris
+	On Falconer's formula for the generalised Renyi dimension of a self-affine measure	2015	Ian D. Morris
+	An inequality for the matrix pressure function and applications	2015	Ian D. Morris
+ PDF Chat	Continuity properties of the lower spectral radius	2014	Jairo Bochi Ian D. Morris
+	A rigorous version of R. P. Brent's model for the binary Euclidean algorithm	2014	Ian D. Morris
+	Dominated splittings for semi-invertible operator cocycles on Hilbert space	2014	Ian D. Morris
+	A rigorous version of R. P. Brent's model for the binary Euclidean algorithm	2014	Ian D. Morris
+ PDF Chat	On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices	2013	Ian D. Morris Nikita Sidorov
+ PDF Chat	Extremal sequences of polynomial complexity	2013	Kevin G. Hare Ian D. Morris Nikita Sidorov
+	A note on configurations in sets of positive density which occur at all large scales	2013	Ian D. Morris
+ PDF Chat	Mather sets for sequences of matrices and applications to the study of joint spectral radii	2013	Ian D. Morris
+	A note on configurations in sets of positive density which occur at all large scales	2013	Ian D. Morris
+ PDF Chat	A New Sufficient Condition for the Uniqueness of Barabanov Norms	2012	Ian D. Morris
+	The generalised Berger–Wang formula and the spectral radius of linear cocycles	2011	Ian D. Morris
+	A new sufficient condition for the uniqueness of Barabanov norms	2011	Ian D. Morris
+	On a Devil's staircase associated to the joint spectral radii of a family of pairs of matrices	2011	Ian D. Morris Nikita Sidorov
+	An explicit counterexample to the Lagarias–Wang finiteness conjecture	2011	Kevin G. Hare Ian D. Morris Nikita Sidorov Jacques Theys
+	Rank one matrices do not contribute to the failure of the finiteness property	2011	Ian D. Morris
+	A new sufficient condition for the uniqueness of Barabanov norms	2011	Ian D. Morris
+	On a Devil's staircase associated to the joint spectral radii of a family of pairs of matrices	2011	Ian D. Morris N. S. Sidorov
+ PDF Chat	A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory	2010	Ian D. Morris
+	An explicit counterexample to the Lagarias-Wang finiteness conjecture	2010	Kevin G. Hare Ian D. Morris Nikita Sidorov Jacques Theys
+ PDF Chat	Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms	2010	Ian D. Morris
+ PDF Chat	Ergodic optimization for generic continuous functions	2010	Ian D. Morris
+	and for the uniqueness of Barabanov norms	2010	Ian D. Morris
+	An explicit counterexample to the Lagarias-Wang finiteness conjecture	2010	Kevin G. Hare Ian D. Morris N. S. Sidorov Jacques Theys
+ PDF Chat	The Mañé–Conze–Guivarc’h lemma for intermittent maps of the circle	2009	Ian D. Morris
+	The generalized Berger-Wang formula and the spectral radius of linear cocycles	2009	Ian D. Morris
+	Criteria for the stability of the finiteness property and for the uniqueness of Barabanov norms	2009	Ian D. Morris
+	A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory	2009	Ian D. Morris
+	Lyapunov optimizing measures for C1 expanding maps of the circle	2008	Oliver Jenkinson Ian D. Morris
+ PDF Chat	Approximating the maximum ergodic average via periodic orbits	2008	DAVID COLLIER Ian D. Morris
+	Maximizing measures of generic Hölder functions have zero entropy	2008	Ian D. Morris
+	A sufficient condition for the subordination principle in ergodic optimization	2007	Ian D. Morris
+	Entropy for Zero-Temperature Limits of Gibbs-Equilibrium States for Countable-Alphabet Subshifts of Finite Type	2007	Ian D. Morris

Common Coauthors

Coauthor	Papers Together
Çağrı Sert	7
Antti Käenmäki	5
Nikita Sidorov	5
Jairo Bochi	4
Kevin G. Hare	4
Natalia Jurga	4
Jonah Varney	4
Jacques Theys	3
Alex Blumenthal	3
Balázs Bárány	3
Pablo Shmerkin	3
Lawrence D. Lee	2
Jonathan M. Fraser	2
N. S. Sidorov	2
Yu Han	1
DAVID COLLIER	1
Han Yu	1
Oliver Jenkinson	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A note on the joint spectral radius	1960	Gian‐Carlo Rota W. Gilbert Strang	26
+ PDF Chat	Non-conformal Repellers and the Continuity of Pressure for Matrix Cocycles	2014	De-Jun Feng Pablo Shmerkin	23
+	Asymptotic height optimization for topical IFS, Tetris heaps, and the finiteness conjecture	2001	Thierry Bousch Jean Mairesse	20
+	The Hausdorff dimension of self-affine fractals	1988	K. J. Falconer	17
+	Bounded semigroups of matrices	1992	Marc A. Berger Yang Wang	16
+	An inequality for the matrix pressure function and applications	2016	Ian D. Morris	16
+	Equilibrium states of the pressure function for products of matrices	2011	De–Jun Feng Antti Käenmäki	16
+	The finiteness conjecture for the generalized spectral radius of a set of matrices	1995	Jeffrey C. Lagarias Yang Wang	15
+ PDF Chat	Lyapunov minimizing measures for expanding maps of the circle	2001	Mauricio Contreras Artur O. Lopes Ph. Thieullen	15
+	The Lyapunov exponent and joint spectral radius of pairs of matrices are hard?when not impossible?to compute and to approximate	1997	John N. Tsitsiklis Vincent D. Blondel	15
+	The thermodynamic formalism for sub-additive potentials	2008	Yongluo Cao De‐Jun Feng Wen Huang	15
+ PDF Chat	The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result	2017	Tushar Das David Simmons	14
+	Complex Polytope Extremality Results for Families of Matrices	2005	Nicola Guglielmi Fabian Wirth Marino Zennaro	13
+ PDF Chat	Hausdorff dimension of planar self-affine sets and measures	2019	Balázs Bárány Michael Hochman Ariel Rapaport	12
+	Measure and dimension for some fractal families	1998	Boris Solomyak	12
+ PDF Chat	Multifractal analysis of Birkhoff averages for typical infinitely generated self-affine sets	2014	Antti Käenmäki Henry W. J. Reeve	11
+ PDF Chat	A rapidly-converging lower bound for the joint spectral radius via multiplicative ergodic theory	2010	Ian D. Morris	11
+	Cohomology classes of dynamically non-negative C k functions	2002	Thierry Bousch Oliver Jenkinson	11
+ PDF Chat	The Pressure Function for Products of Non-negative Matrices	2002	De‐Jun Feng Ka‐Sing Lau	11
+	Zeta functions and the periodic orbit structure of hyperbolic dynamics	1990	William Parry Mark Pollicott	11
+ PDF Chat	Computationally Efficient Approximations of the Joint Spectral Radius	2005	Vincent D. Blondel Yurii Nesterov	11
+	Hausdorff Dimension for Randomly Perturbed Self Affine Attractors	2006	Thomas Jordan Mark Pollicott Károly Simon	11
+	The generalized spectral-radius theorem: An analytic-geometric proof	1995	L. Elsner	11
+ PDF Chat	Structure of equilibrium states on self-affine sets and strict monotonicity of affinity dimension	2017	Antti Käenmäki Ian D. Morris	11
+ PDF Chat	Inequalities for numerical invariants of sets of matrices	2003	Jairo Bochi	10
+ PDF Chat	On the packing dimension of box-like self-affine sets in the plane	2012	Jonathan M. Fraser	10
+	On the zero-stability of variable stepsize multistep methods: the spectral radius approach	2001	Nicola Guglielmi Marino Zennaro	10
+ PDF Chat	Some characterizations of domination	2009	Jairo Bochi Nicolas Gourmelon	10
+	Falconer's formula for the Hausdorff dimension of a self-affine set in R<sup>2</sup>	1995	Irene Hueter Steven P. Lalley	10
+ PDF Chat	Continuity properties of the lower spectral radius	2014	Jairo Bochi Ian D. Morris	10
+	Optimal orbits of hyperbolic systems	1999	Guo‐Cheng Yuan Brian R. Hunt	10
+ PDF Chat	Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals	1992	Ingrid Daubechies Jeffrey C. Lagarias	9
+ PDF Chat	On self-similar sets with overlaps and inverse theorems for entropy	2014	Michael Hochman	9
+ PDF Chat	Equilibrium states of generalised singular value potentials and applications to affine iterated function systems	2018	Jairo Bochi Ian D. Morris	9
+ PDF Chat	Ergodic properties of matrix equilibrium states	2017	Ian D. Morris	9
+ PDF Chat	DIMENSIONS OF SELF-AFFINE FRACTALS AND MULTIFRACTALS GENERATED BY UPPER-TRIANGULAR MATRICES	2007	K. J. Falconer Jun Jie Miao	9
+	Le poisson n'a pas d'arÃªtes	2000	Thierry Bousch	9
+ PDF Chat	A Dynamical Systems Construction of a Counterexample to the Finiteness Conjecture	2006	Victor Kozyakin	9
+	Ergodic Optimization	2006	Oliver Jenkinson	8
+ PDF Chat	Remarks on the analyticity of subadditive pressure for products of triangular matrices	2015	Jonathan M. Fraser	8
+	Equilibrium states for factor maps between subshifts	2010	De‐Jun Feng	8
+ PDF Chat	The Hausdorff dimension of general Sierpiński carpets	1984	Curt McMullen	8
+	La condition de Walters	2001	Thierry Bousch	8
+ PDF Chat	Exact Computation of Joint Spectral Characteristics of Linear Operators	2012	Nicola Guglielmi Vladimir Yu. Protasov	8
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	8
+	Gian-Carlo Rota on Analysis and Probability	2003		8
+ PDF Chat	Mather sets for sequences of matrices and applications to the study of joint spectral radii	2013	Ian D. Morris	8
+ PDF Chat	Planar self-affine sets with equal Hausdorff, box and affinity dimensions	2016	K. J. Falconer Tom Kempton	8
+ PDF Chat	On the Finiteness Property for Rational Matrices	2009	Raphaël M. Jungers	7
+	The generalised Berger–Wang formula and the spectral radius of linear cocycles	2011	Ian D. Morris	7