5 papers
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
In this work, we introduce novel algorithms for label propagation and self-training using fractional heat kernel dynamics with a source term. We motivate the methodology through th…
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…