SSMI2026
38. Prof. Filip STROBIN, University of Gdansk, POLAND
Data: 21 aprilie 2026, 14:00, în sala PI9, Corpul P
Titlul prezentarii: An introduction to Fractal Theory with applications in real-world modeling
ABSTRACT: During the talk, I will present the basics of fractal theory, focusing in particular on the part related to iterated function systems (IFSs). A classical result due to Hutchinson states that a contractive IFS on a complete metric space admits a unique attractor, and many well-known fractals arise in this way.
I will formulate this result in detail and illustrate it with several examples, including objects from the real world that can be modeled as attractors of simple IFSs. I will also show that small perturbations of the underlying IFS lead to small changes in the attractor, highlighting the flexibility of this approach in the context of modeling.
Finally, I will present two classical algorithms for generating IFS attractors, including the well-known chaos game.
37. Prof. Elif Tan, Ankara University, Turcia
Data: 22 ianuarie 2026, la ora 11.00, în sala PI9, Corpul P
Titlul prezentarii: Fibonacci Cubes and Beyond: Structural and Combinatorial Properties
ABSTRACT: Fibonacci cubes were originally introduced as models for interconnection networks and have since attracted considerable attention due to both their practical relevance and rich combinatorial structure. An n-dimensional Fibonacci cube Γn can be viewed as an induced subgraph of the n-dimensional hypercube, obtained by restricting to binary strings that avoid consecutive 1s. A remarkable feature of these graphs is that the number of their vertices is given by Fibonacci numbers. This close connection between graph structure and classical integer sequences naturally motivates the study of Fibonacci-like cubes. In this talk, we will explore Fibonacci-like cubes and present their combinatorial and graph-theoretical properties.
