8 citations · 16 across the 20 of their papers we have counts for
15 papers · 1 filter
Effective Intrinsic Ergodicity for renewal-type potentials on S-gap shifts
Farhod Haydarov, Shirali Kadyrov, Mirmukhsin Makhmudov +1
We establish effective intrinsic ergodicity for renewal-type potentials on one-sided \(S\)-gap shifts. Inducing on the one-symbol cylinder \([1]\) reduces the system to a full shif…
Limit-Cycle Replication via Chebyshev Pullbacks and a Quadratic Ceiling for Separable Schemes
Olimjon Eshkobilov, Shirali Kadyrov, Khudoyor Mamayusupov
Let \(H(n)\) denote the Hilbert number, i.e.\ the maximal number of limit cycles of planar polynomial vector fields of degree \(\le n\). A classical lower-bound mechanism for \(H(n…
Periodic solutions and the avoidance of pull--in instability in non--autonomous micro--electro--mechanical systems
Shirali Kadyrov, Ardak Kashkynbayev, Piotr Skrzypacz +2
We study periodic solutions of a one-degree of freedom micro-electro-mechanical system (MEMS) with a parallel-plate capacitor under --periodic electrostatic forcing. We obtain a…
Analysis of Dynamic Pull-in Voltage of a Graphene MEMS Model
P. Skrzypacz, S. Kadyrov, D. Nurakhmetov +1
Bifurcation analysis of dynamic pull-in for a lumped mass model is presented. The restoring force of the spring is derived based on the nonlinear constitutive stress-strain law and…
Effective equidistribution of periodic orbits for subshifts of finite type
Shirali Kadyrov
We study equidistribution of certain subsets of periodic orbits for subshifts of finite type. Our results solely rely on the growth of these subsets. As a consequence, effective eq…
Exceptional sets in homogeneous spaces and Hausdorff dimension
Shirali Kadyrov
In this paper we study the dimension of a family of sets arising in open dynamics. We use exponential mixing results for diagonalizable flows in compact homogeneous spaces to s…
Effective uniqueness of Parry measure and exceptional sets in ergodic theory
Shirali Kadyrov
It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estim…
Singular systems of linear forms and non-escape of mass in the space of lattices
S. Kadyrov, D. Y. Kleinbock, E. Lindenstrauss +1
Singular systems of linear forms were introduced by Khintchine in the 1920s, and it was shown by Dani in the 1980s that they are in one-to-one correspondence with certain divergent…
Amount of failure of upper-semicontinuity of entropy in noncompact rank one situations, and Hausdorff dimension
Shirali Kadyrov, Anke D. Pohl
Recently, Einsiedler and the authors provided a bound in terms of escape of mass for the amount by which upper-semicontinuity for metric entropy fails for diagonal flows on homogen…
Diophantine approximation with restricted numerators and denominators on semisimple groups
Alexander Gorodnik, Shirali Kadyrov
We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numerators and denominators and establish a quantitative appr…
Escape of mass and entropy for diagonal flows in real rank one situations
Manfred Einsiedler, Shirali Kadyrov, Anke Pohl
Let be a connected semisimple Lie group of real rank 1 with finite center, let be a non-uniform lattice in and any diagonalizable element in . We investigate the…
Algebraic Numbers, Hyperbolicity, and Density Modulo One
Alexander Gorodnik, Shirali Kadyrov
We prove the density of the sets of the form modulo one, where and are multiplicatively independent algebra…
Entropy and Escape of Mass for Hilbert Modular Spaces
Shirali Kadyrov
We study the relation between metric entropy and escape of mass for the Hilbert modular spaces with the action of a diagonal element.
Positive Entropy Invariant Measures on the Space of Lattices with Escape of Mass
Shirali Kadyrov
On the space of unimodular lattices, we construct a sequence of invariant probability measures under a singular diagonal element with high entropy and show that the limit measure i…
Entropy and escape of mass for $SL(3,Z)\SL(3,R)$
Manfred Einsiedler, Shirali Kadyrov
We study the relation between measure theoretic entropy and escape of mass for the case of a singular diagonal flow on the moduli space of three-dimensional unimodular lattices.