5 citations · 9 across the 9 of their papers we have counts for
9 papers
A quantitative convergence rate for torsional creep to the distance function as p tends to infinity
Farid Bozorgnia, Masoud Bayrami-Aminlouee, Khudoyor Mamayusupov
We prove that the Dirichlet -torsion function converges to the distance to the boundary at the rate in the uniform norm, on every bounded domain and with a co…
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…
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.…
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…
Dynamics on immediate basins for parabolic Newton maps
Khudoyor Mamayusupov
Dynamics on parabolic immediate basins for rational Newton maps of entire functions have been studied. It is proved that every parabolic immediate basin contains invariant accesses…
A characterization of postcritically minimal Newton maps of complex exponential functions
Khudoyor Mamayusupov
We obtain a unique, canonical one-to-one correspondence between the space of marked postcritically finite Newton maps of polynomials and the space of postcritically minimal Newton…
Newton maps of complex exponential functions and parabolic surgery
Khudoyor Mamayusupov
The paper deals with Newton maps of complex exponential functions and a surgery tool developed by P. Haïssinsky. The concept of "Postcritically minimal" Newton maps of complex expo…
Antiholomorphic perturbations of Weierstrass Zeta functions and Green's function on tori
Konstantin Bogdanov, Khudoyor Mamayusupov, Sabyasachi Mukherjee +1
In \cite{BeEr}, Bergweiler and Eremenko computed the number of critical points of the Green's function on a torus by investigating the dynamics of a certain family of antiholomorph…