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. 


Almost sure rates of mixing for random intermittent maps

Marks Ruziboev (2018)

Quenched decay of correlations for slowly mixing systems
Wael Bahsoun, Christopher Bose, Marks Ruziboev (2018)

Linear response for random dynamical systems
Wael Bahsoun, Marks Ruziboev, Benoî t Saussol (2017)

On the stability of statistical properties for Lorenz attractors with a    stable foliation
Wael Bahsoun, Marks Ruziboev (2017)

Decay of correlations for invertible systems with non-Hölder observables
Marks Ruziboev (2014)

Young Towers for Product Systems
Stefano Luzzatto, Marks Ruziboev (2015)