5 citations · 26 across the 34 of their papers we have counts for
35 papers
Contour Computation of Linearized Painlevé II and IV Solutions with Monodromy-Based Error Control
Oleg M. Kiselev
We study the numerical evaluation of contour integral representations for solutions of the linearized second and fourth Painlevé equations. The construction combines a nonlinear ba…
Integral Representations for Solutions of the Linearized Fourth Painleve Equation
Oleg M. Kiselev
We formulate the linearization of the fourth Painlevé equation as a linearized Hamiltonian system and transform the scalar variational equation to normal form, with the first-deriv…
Small Denominators and Subresonant Accumulation in Weakly Nonlinear Dispersive Dynamics
P. Yu. Astafieva, O. M. Kiselev
We study a small-denominator mechanism in weakly nonlinear dispersive dynamics. After Fourier decomposition, a nonlinear dispersive equation becomes an infinite system of weakly co…
A Minimal Bifurcation Model of Load Imbalance in a Softmax Mixture-of-Experts Router
O. M. Kiselev
We propose a minimal dynamical model of adaptive softmax routing for a two-expert Mixture-of-Experts (MoE) layer. The model is obtained as a mean-field limit of a discrete reinforc…
Quantum Fourier transform computational accuracy analysis
Marina O. Lisnichenko, Oleg M. Kiselev
In this work, we present a rigorous accuracy analysis of the quantum Fourier transform (QFT), that identifies three natural sources of accuracy degeneracy: (i) discretization accur…
Integral formulas for Painlevé-2 transcendent
O. M. Kiselev
In the work we use integral formulas for calculating the monodromy data for the Painlevé-2 equation. The perturbation theory for the auxiliary linear system is constructed and form…