Alexander Fish
Senior Lecturer
Contact
School of Mathematics and Statistics F07
University of Sydney NSW 2006
Australia
afish(you know what)maths.usyd.edu.au
Teaching website
This semester I teach the course Linear Algebra.
Ergodic Theory and its Applications 2016
I coorganize with Mumtaz Hussain an international conference in Ergodic Theory which will be held at 1822 July 2016 in the University of Sydney.
Research interests
Ergodic theory, additive combinatorics, wireless communication.
Biography
My supervisor was Hillel Furstenberg. My thesis "Ramsey properties of subsets of N" was defended in 2007, at Hebrew University of Jerusalem, Israel.
Afterwards, for three years I was Zassenhaus
Assistant Professor at Ohio State University
and for another three years I was Van Vleck Assistant
Professor at UWMadison .
Preprints
In Press
Publications
Ergodic Theory

Characteristic polynomial patterns in difference sets of matrices
with M. Björklund. Bull. London Math. Soc. (2016) 48 (2): 300308.


Product set phenomena for countable groups
with M. Björklund. Advances in Mathematics 275 (2015) 47113.


Polynomial largeness of sumsets and totally ergodic sets
Online Journal of Analytic Combinatorics, Issue 5, 2010.


Solvability of linear equations within weak mixing sets
Israel Journal of Math. 184 (2011), 477504.


Sumset Phenomenon in Countable Amenable Groups
with M. Beiglböck and V.Bergelson.
Advances in Mathematics 223 (2010) 416432.


Equidistribution of dilations of polynomial curves in nilmanifolds
with M. Björklund. Proc. Amer. Math. Soc. 137 (2009), 21112123.


Continuous Measures on Homogeneous Spaces
with M. Björklund. Annales de l'institut Fourier, 59 no. 6 (2009), p. 21692174.


Solvability of Rado systems in Dsets
with M. Beiglböck, V. Bergelson and T. Downarowicz. Topology Appl. 156 (2009), no. 16, 25652571.


Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on T
with M. Einsiedler. Ergodic Theory and Dynamical Systems, 30 (2010), no. 1, 151157.


Liouville Random functions and normal sets
Acta Arith. 120 (2005), no. 2, 191196.

Convex Geometry
Wireless Communication
Journal Publications
Proceedings of Conferences

Performance Estimates of the PseudoRandom Method for Radar Detection
with S. Gurevich. To appear in Proceedings of ISIT 2014  IEEE
International Symposium on Information Theory, Honolulu.


Almost linear complexity methods for delayDoppler channel estimation
with S. Gurevich.
To appear in 2014 International Zurich Seminar on Communications.


The Incidence and Cross Methods for Efficient Radar Detection
with S. Gurevich.
To appear in Proceedings of 51st Annual Allerton Conference on Communication, Control, and Computing.


DelayDoppler Channel Estimation with Almost Linear Complexity
with S. Gurevich, R.Hadani, A.Sayeed, O.Schwartz.
Proceedings of ISIT 2012  IEEE International Symposium on Information Theory, Cambridge, MA, USA, July 16, 2012.

