Mathematical Sciences

Department staff

Dr Marks Ruziboev

Photo of Dr Marks Ruziboev

Research Associate

(2016-present)  Postdoctoral fellow, supported by W. Bahsoun’s grant RPG-2015-346.

(2015 - 2016) Short term visitor, ICERM, Brown University, Providence, RI, USA.

Simons Semester Postdoctoral fellow at IMPAN, Warsaw, Poland.

(2011-2015) PhD in Mathematics, International School for Advanced Studies (SISSA), Trieste, Italy.

(2010-2011)  Diploma  in Mathematics, The Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy.

(2008-2010) M.Sc.  Mathematics, The National University of Uzbekistan, Tashkent, Uzbekistan.

(2004-2008) B. Sc.  Mathematics,  The National University of Uzbekistan, Tashkent, Uzbekistan.

Ergodic theory and dynamical systems.

Optimal control theory.

Publications in peer-reviewed journals 

(joint with S. Luzzatto) Statistical properties of direct product systems on Discrete and Continuous Dynamical Systems, Vol 36, no. 3, 1465-1491, 2016.

Decay of correlations for invertible maps with non-H\"older observables. Dynamical Systems an Int. Jour. no. 3, 341-352, 2015. 

(joint with Abdulla  Azamov) The time-optimal problem for evolutionary partial differential equations, J. App. Math. Mech., V. 77, n. 2, pages 220-224, 2013.

The pursuit-evasion problem in a discrete version of the hamstrung car game J. App. Math. Mech., V. 72, n 6, pages 669-672, 2008. 


Reprints

Almost sure rates of mixing for random intermittent maps

Marks Ruziboev (2018)
arxiv.org/abs/1801.09583

Quenched decay of correlations for slowly mixing systems
Wael Bahsoun, Christopher Bose, Marks Ruziboev (2018)
arxiv.org/abs/1706.04158

Linear response for random dynamical systems
Wael Bahsoun, Marks Ruziboev, Benoî t Saussol (2017)
arxiv.org/abs/1710.03706

On the stability of statistical properties for Lorenz attractors with a    stable foliation
Wael Bahsoun, Marks Ruziboev (2017)
arxiv.org/abs/1701.08601

Decay of correlations for invertible systems with non-Hölder observables
Marks Ruziboev (2014)
arxiv.org/abs/1412.1299

Young Towers for Product Systems
Stefano Luzzatto, Marks Ruziboev (2015)
arxiv.org/abs/1408.6950