Tootfinder

A Closed-form Expression of the Gaussian Noise Model Supporting O-Band Transmission
Zelin Gan, Henrique Buglia, Romulo Aparecido, Mindaugas Jarmolovi\v{c}ius, Eric Sillekens, Jiaqian Yang, Ronit Sohanpal, Robert I. Killey, Polina Bayvel
https://arxiv.org/abs/2510.11867

A Closed-form Expression of the Gaussian Noise Model Supporting O-Band Transmission
We present a novel closed-form model for nonlinear interference (NLI) estimation in low-dispersion O-band transmission systems. The formulation incorporates the four-wave mixing (FWM) efficiency term as well as the coherent contributions of self- and cross-phase modulation (SPM/XPM) across multiple identical spans. This extension enables accurate evaluation of the NLI in scenarios where conventional closed-form Gaussian Noise (GN) models are limited. The proposed model is validated against spli…

New determinant formulas of Giambelli-type for Schur multiple zeta-functions and their applications
Kohji Matsumoto, Maki Nakasuji
https://arxiv.org/abs/2509.14621 https://

New determinant formulas of Giambelli-type for Schur multiple zeta-functions and their applications
In this article, we will prove the Giambelli formula for Schur multiple zeta-functions of extended shape which we call laced type, using the combinatorial method of proving the Giambelli formula for Schur function by Egecioglu and Remmel. Further we will obtain the Giambelli formula for Schur multiple zeta-functions of a certain skew type via the antipode on the set of quasi-symmetric functions. Combining these two Giambelli-type formulas, we will have new identities among Schur multiple zeta-f…