3 papers
math-ph2026
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…
math.DS2026
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…
quant-ph2025
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…