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Ian Morris

Guildford, United Kingdom.

https://webspace.maths.qmul.ac.uk/i.morris/

I am a Reader in mathematics at Queen Mary, University of London, where I have been working since September 2020. I was previously a Senior Lecturer at the University of Surrey.

In general I am interested in applications of ergodic theory to areas of mathematics not a priori connected with dynamical systems.

In recent years I have used this site only quite infrequently.

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Top Questions
20 votes

A Fourier-analytic inequality used by Jean Bourgain

fourier-analysis fa.functional-analysis asked Jul 10, 2012 at 15:09
mathoverflow.net

15 votes

Alternative proofs of the Krylov-Bogolioubov theorem

ergodic-theory ds.dynamical-systems amenability fa.functional-analysis asked Jul 30, 2011 at 20:29
mathoverflow.net

14 votes

Groups of matrices in which all elements have all eigenvalues equal in modulus

reference-request linear-algebra lie-groups algebraic-groups asked Jun 6, 2016 at 14:24
mathoverflow.net

14 votes

Examples of transformations which are weak-mixing but not strong-mixing

ergodic-theory ds.dynamical-systems asked Nov 23, 2010 at 10:53
mathoverflow.net

12 votes

An inequality for the spectral radius of matrices used by J. Bochi

reference-request fa.functional-analysis linear-algebra matrices inequalities asked Jan 15, 2016 at 13:20
mathoverflow.net

10 votes

Non-oscillatory behaviour in the subadditive ergodic theorem

ergodic-theory ds.dynamical-systems asked Jul 18, 2011 at 21:27
mathoverflow.net

10 votes

Modern version of an inequality of R. M. Gabriel for contour integrals

cv.complex-variables potential-theory integration reference-request asked Nov 9, 2012 at 22:54
mathoverflow.net

10 votes

Existence of a pair of matrices in SL(2,Z) satisfying certain constraints on the spectral radius

linear-algebra ra.rings-and-algebras asked Jun 8, 2010 at 14:45
mathoverflow.net

9 votes

Sets of matrices which are irreducible but not strongly irreducible

linear-algebra ra.rings-and-algebras semigroups asked Feb 10, 2016 at 11:14
mathoverflow.net

9 votes

How many multiplications are needed to generate a matrix algebra?

linear-algebra ra.rings-and-algebras asked Feb 2, 2017 at 10:21
mathoverflow.net

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Top Answers
90
Not especially famous, long-open problems which anyone can understand
mathoverflow.net

53
Major mathematical advances past age fifty
mathoverflow.net

30
Rediscovery of lost mathematics
mathoverflow.net

27
Which math paper maximizes the ratio (importance)/(length)?
mathoverflow.net

23
Regular borel measures on metric spaces
mathoverflow.net

23
$x_1 = 2$, $x_{n + 1} = {{x_n(x_n + 1)}\over2}$, what can we say about $x_n \text{ mod }2$?
mathoverflow.net

22
What is (if there is one) the equivalent of the tenure-track phase in Europe?
academia.stackexchange.com

22
A metric for Grassmannians
mathoverflow.net

16
On The Convergence of Ergodic Measures
mathoverflow.net

15
Old books still used
mathoverflow.net

15
What's your favorite equation, formula, identity or inequality?
mathoverflow.net

15
Is there a generalized Birkhoff ergodic theorem?
mathoverflow.net

12
What's so great about blackboards?
mathoverflow.net

12
Blue and red balls puzzle
mathoverflow.net

12
Non-existence of ergodic measures
mathoverflow.net

10
What are good non-English languages for mathematicians to know?
mathoverflow.net

10
What are some very important papers published in non-top journals?
mathoverflow.net

10
Applications of and motivation for von Neumann's mean ergodic theorem
mathoverflow.net

10
Approximating Subshifts From Below
mathoverflow.net

10
Uniform convergence of Birkhoff averages and unique ergodicity
mathoverflow.net

9
Applications of the Cayley-Hamilton theorem
mathoverflow.net

8
Uniquely ergodic and strongly mixing transformation
mathoverflow.net

8
topologically mixing subshifts without ergodic measures
mathoverflow.net

8
Are there $0$ entropy non-atomic invariant measures for $2x$ and $3x$ modulo $1?$
mathoverflow.net

7
Submultiplicative matrix norm: Max Norm
mathoverflow.net

7
Is there a mixing condition to get the decay property I want?
mathoverflow.net

7
Spearing rolling hula hoops
mathoverflow.net

6
Fractals of dimension zero
mathoverflow.net

6
Characterizing when matrices are 'dissipative'
mathoverflow.net

6
About dense orbits on dynamical systems
mathoverflow.net

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