8 citations · 16 across the 20 of their papers we have counts for
26 papers
Bounded continued fractions and quadratic orders in $\Q(\sqrt{127})$
Shirali Kadyrov, Aiken Kazin, Alibek Orynbassar +1
We study the least periods and multiplier orders in two constructions of Mercat for continued fractions with bounded partial quotients. Our main explicit result concerns a family i…
Infinitely Many Off-Critical-Line Zeros of the Tempered Xi Function: A Disproof of Yang's Conjecture
Aiken Kazin, Shirali Kadyrov
Yang introduced a tempered xi function by replacing the hyperbolic cosine in a classical integral representation of the Riemann xi function by a hyperbolic sine, and…
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…
Fractional Heat Kernel for Semi-Supervised Graph Learning with Small Training Sample Size
Farid Bozorgnia, Vyacheslav Kungurtsev, Shirali Kadyrov +1
We develop a source-driven fractional heat-kernel framework for semi-super\-vised graph learning that combines nonlocal propagation with sustained label information. A fixed nonzer…
A Simple and Reproducible Hybrid Solver for a Truck-Drone VRP with Recharge
Meraryslan Meraliyev, Cemil Turan, Shirali Kadyrov
We study last-mile delivery with one truck and one drone under explicit battery management: the drone flies at twice the truck speed; each sortie must satisfy an endurance budget;…
Development and optimization of physics-informed neural networks for solving partial differential equations
Batyr Sharimbayev, Shirali Kadyrov, Aleksei Kavokin
This work compares the advantages and limitations of the Finite Difference Method with Physics-Informed Neural Networks, showing where each can best be applied for different proble…
On the solutions of second order difference equations with variable coefficients
Shirali Kadyrov, Alibek Orynbassar
In this article we study solutions to second order linear difference equations with variable coefficients. Under mild conditions we provide closed form solutions using finite conti…
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…
Unified computational approach to nilpotent algebra classification problems
Shirali Kadyrov, Farukh Mashurov
In this article, we provide an algorithm with Wolfram Mathematica code that gives a unified computational power in classification of finite dimensional nilpotent algebras using Skj…
Generalized continued fraction expansions for and
Shirali Kadyrov, Farukh Mashurov
Recently Raayoni et al. announced various conjectures on continued fractions of fundamental constants automatically generated with machine learning techniques. In this paper we pro…
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…
A simple analysis of flying capacitor converter
S. Kadyrov, P. S. Skrzypacz, Y. L. Familiant
The paper aims to emphasise how switched systems can be analysed with elementary techniques which require only undergraduate-level linear algebra and differential equations. It is…
Polynomial estimates over exponential curves in
Shirali Kadyrov, Yershat Sapazhanov
For any complex with non-zero imaginary part we show that Bernstein-Walsh type inequality holds on the piece of the curve . Our result exten…
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…
Bernstein-Walsh inequalities in higher dimensions over exponential curves
Shirali Kadyrov, Mark Lawrence
Let be linearly independent over , set We prove sharp estimates for…
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.