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Conference Agenda

Overview and details of the sessions of this conference. Please select a date or location to show only sessions at that day or location. Please select a single session for detailed view (with abstracts and downloads if available).

Please note that all times are shown in the time zone of the conference. The current conference time is: 24th Aug 2026, 05:32:47am America, Santiago

Daily Overview

Session

37D: Mathematics Education
Virtual location: VIRTUAL: Agora Meetings

Presentation 6

5:40pm - 5:48pm

Santiago Length Dynamical System to Predict Message Inflation and Size Buffers in IIoT Pipelines

RAPHAEL SANTIAGO MENDOZA DELGADO¹, RUBEN DARIO MENDOZA ARENAS¹, JOSÉ ANTONIO FARFÁN AGUILAR¹, OSMART RAÚL MORALES CHALCO¹, MONICA BEATRIZ LA CHIRA LOLI², RUBEN ORLANDO ARBAÑIL RIVADENEIRA³, JORGE LUIS ROJAS ORBEGOSO¹

1: Universidad Nacional del Callao - (PE), Perú; 2: Universidad Autónoma del Perú - (PE); 3: Universidad Nacional Mayor de San Marcos - (PE)

We propose the Santiago Dynamical System (SDS) as a unifying formulation of discrete dynamics on N generated
by a coding and an observable. The central case studied in this work is the length SDS, where the observable is the length of
a word α(n) over an alphabet Σ, giving rise to the iteration nk+1 = |α(nk)|. This perspective connects functional graphs on N
with symbolic dynamics, coding theory, and Lyapunov-type potential methods. Universal structural properties are presented,
including contraction/expansion criteria and a methodological framework to characterize attractors, basins, and iterative
complexity in classes of natural codings. Finally, conjectures are formulated concerning small attractors and iterated-logarithmtype
convergence in compact codings.