12 citations · 25 across the 11 of their papers we have counts for
17 papers
On the dynamics of self-consistent transfer operators for interval maps with singularities
Shadiyar Y. Altynbekov, Umrbek Olimov, Marks Ruziboev
We study the dynamics of self-consistent transfer operators associated with mean-field coupled systems whose unit dynamics is given by an interval map with finitely many singularit…
Linear response for random systems with a cusp
Davrbek Oltiboev, Karim Rakhimov, Marks Ruziboev
We study i.i.d.\ random compositions of cusp tent-like interval maps having a common cusp point and a common cusp value. For cusp exponents , we prove that the assoc…
Quenched Mixing Rates for Doubly Intermittent Maps
Mubarak Muhammad, Marks Ruziboev
We study quenched mixing rates for random compositions of two classes of interval maps with two indifferent fixed points and a singularity at the origin: Pikovsky maps and Grossman…
Quenched decay of correlations for random contracting Lorenz maps
Andrew Larkin, Marks Ruziboev
In this work, we consider i.i.d. random perturbations of contracting Lorenz maps sufficiently close to a Rovella parameter. We prove that the quenched correlations of the random dy…
On a linear differential game in the Hilbert space
Marks Ruziboev, Khudoyor Mamayusupov, Gafurjan Ibragimov +1
Two-player pursuit-evasion differential game and time optimal zero control problem in are considered. Optimal control for the corresponding zero control problem is found.…
Quenched decay of correlations for nonuniformly hyperbolic random maps with an ergodic driving system
José F. Alves, Wael Bahsoun, Marks Ruziboev +1
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our techn…
On the stability and null-controllability of an infinite system of linear differential equations
Abdulla Azamov, Gafurjan Ibragimov, Khudoyor Mamayusupov +1
In this work, the null controllability problem for a linear system in is considered, where the matrix of a linear operator describing the system is an infinite matrix with…
Critical intermittency in random interval maps
Ale Jan Homburg, Charlene Kalle, Marks Ruziboev +2
Critical intermittency stands for a type of intermittent dynamics in iterated function systems, caused by an interplay of a superstable fixed point and a repelling fixed point. We…
Linearized Korteweg -- De Vries equation on a tree with unbounded root and edges
Maqsad. I. Akhmedov, Doniyor Babajanov, Marks Ruziboev
We investigate the linearized KdV equation on a metric tree consisting of three different types of bonds: incoming unbounded root, two finite bonds, and four outgoing unbounded bon…
Almost sure rates of mixing for partially hyperbolic attractors
Jose F. Alves, Wael Bahsoun, Marks Ruziboev
We introduce random towers to study almost sure rates of correlation decay for random partially hyperbolic attractors. Using this framework, we obtain abstract results on almost su…
Variance continuity for Lorenz flows
Wael Bahsoun, Ian Melbourne, Marks Ruziboev
The classical Lorenz flow, and any flow which is close to it in the -topology, satisfies a Central Limit Theorem (CLT). We prove that the variance in the CLT varies continuous…
Almost sure rates of mixing for random intermittent maps
Marks Ruziboev
We consider a family of maps with two branches and a common neutral fixed point such that the order of tangency at belongs to some interval $[α_0, α_1]\subset…
Linear response for random dynamical systems
Wael Bahsoun, Marks Ruziboev, Benoît Saussol
We study for the first time linear response for random compositions of maps, chosen independently according to a distribution $\PP$. We are interested in the following question: ho…
Quenched decay of correlations for slowly mixing systems
Wael Bahsoun, Christopher Bose, Marks Ruziboev
We study random towers that are suitable to analyse the statistics of slowly mixing random systems. We obtain upper bounds on the rate of quenched correlation decay in a general se…
On the statistical stability of Lorenz attractors with a stable foliation
Wael Bahsoun, Marks Ruziboev
We prove statistical stability for a family of Lorenz attractors with a stable foliation.
Decay of correlations for invertible systems with non-Hölder observables
Marks Ruziboev
An invertible dynamical system with some hyperbolic structure is considered. Upper estimates for the correlations of continuous observables is given in terms of modulus of continui…
Young Towers for Product Systems
Stefano Luzzatto, Marks Ruziboev
We show that the direct product of maps with Young towers admits a Young tower whose return times decay at a rate which is bounded above by the slowest of the rates of decay of the…