ELFT HÍRADÓ

[Károlyi György <karolyi AT reak.bme.hu>]

Meghívó

Alkalmazott Matematikai Nap a BME Matematika Intézet szervezésében

Mottó: Ha egy matematikai diszciplína messzire távolodik tapasztalati
forrásától, az súlyos veszélyt rejt magában. A forrásától eltávolodott
folyó jelentéktelen ágak sokaságává különül el és a diszciplína
részletek és bonyodalmak szervezetlen tömegévé válik.
                                             /Neumann János/

Időpont:  2023. december 6. 15:00
Helyszín: Budapesti Műszaki és Gazdaságtudományi Egyetem
          Q épület QAF14 terem
Honlap:   http://math.bme.hu/alkmatnap

Program:

##

Scheuring István
HUN−REN Centre for Ecological Research

Nonlinear public goods game as a model for bacterial cooperation

Összefoglaló:

The evolutionary origin and stability of cooperation, i.e., a costly act
that benefits other cospecific individuals, is one of the most challenging
problems in evolutionary biology. There are several possible mechanisms to
explain this seemingly counter-intuitive phenomenon, including spatial
aggregation of cooperators, punishment of non-cooperators and additional
private benefits for cooperators. Bacteria that produce extracellular
enzymes or antibiotics as a public good are also cooperators. We study the
evolutionary stability of bacterial cooperation, taking into account that
the public good is a strongly nonlinear function of the frequency and
density of cooperators, but without any assortment giving extra benefits
to cooperators. We have shown that, besides the non-cooperative state, the
coexistence of cooperators and defectors is another typical evolutionarily
stable state of the system in a completely well-mixed population.
By studying the density dependence of microbial cooperation, we pointed
out that decreasing the density leads to the fixation of cooperators at a
certain critical density and to an abrupt transition to the
non-cooperative state below another critical density.

##

Eduardo Altmann
University of Sydney

Can physics help the study of social phenomena?
 From sociophysics to complex systems and data science

Összefoglaló:

The many successes of Mathematical theories in Physics have long inspired
the applications of physics-based methods to the social sciences. In the
age of big data, these approaches are increasingly evaluated based on
their success in analyzing and describing observations.  In this talk,
I will discuss the journey of Physics ideas in the social sciences,
focusing on the role played by empirical laws, such as Pareto's law of
inequality and Zipf's law of word frequencies. Approaches based on such
laws promise not only a quantitative description of the data but also a
mechanistic understanding of the underlying generative process, a key
advantage over black-box machine-learning techniques. I will argue that
the statistical nature of the proposed laws, a facet often overlooked,
is essential to evaluate their validity and applicability.

##

Minden érdeklődőt szeretettel várnak a szervezők,
Domokos Gábor, Horváth Miklós, Károlyi György