Parallel: Session 3

Session Chairs

Fiana JACOBZON

Emil SAUCAN

 

Stability of Euler-Einstein and Euler-Nordström systems with a positive cosmological constant

14:45 – 15:00

Lavi KARP, Applied Mathematics

We study non-linear wave equations derived from Einstein/Nordström theory of gravitation. These are partial differential equations of hyperbolic type. The presence of the cosmological constant enables, in some particular cases, the achievement of global solutions for these non-linear wave equations, thereby demonstrating the stability of these systems.

 

karp@braude.ac.il

 

Filtration families of semigroup generators

15:00 – 15:15

Fiana JACOBZON, Applied Mathematics

I specialize in Complex Analysis, with a particular focus on Geometric Function Theory and Dynamical Systems, emphasizing their interplay and mutual influence.

 

fiana@braude.ac.il

 

Filtration of semigroup generators, part 2

15:15 – 15:30

Mark ELIN, Applied Mathematics

We are interested in different sets of semigroup generators and relations between these sets.

 

mark_elin@braude.ac.il

 

Units of twisted group rings and their correlations to classical group rings

15:30 – 15:45

Ofir SCHNABEL, Applied Mathematics

My research deals with abstract algebra. More specifically, I am interested in group gradings of semisimple algebras, (projective) representation theory and (twisted) group rings and their units.

 

ofirsch@braude.ac.il

 

Statistics over combinatorial structures

15:45 – 16:00

Walaa ASAKLY, Applied Mathematics

My research focuses on combinatorial structures such as words over finite alphabets, set partitions, and compositions. These structures relate to programming sciences and physics. For each structure, I define statistics (collections of elements satisfying certain features) and aim to enumerate how many elements meet these conditions. This approach reveals structural and computational properties across different systems.

 

walaaa@braude.ac.il

 

Industrial Engineering and Management

16:00 – 16:15

Rachel RAVID, Industrial Engineering and Management

My research focuses on the theory of multi-dimensional queueing systems. These problems are common in various applications like supermarkets, hospitals, airports, call centers and communication networks. Understanding their behavior is crucial for optimizing resource allocation. Mathematical analysis is needed for performance evaluation like queue lengths and waiting times distributions. Complex analysis plays an important role in the research.

 

rachelr3@braude.ac.il