news 2024

Helping out your neighbor or minding your own business? A challenging choice with different benefits for each decision. Game theory provides guidance in making such choices - from a theoretical perspective. Novel findings by Jakub Svoboda and Krishnendu Chatterjee at the Institute of Science and Technology Austria (ISTA) reveal new network structures that enhance cooperation throughout a system.

ISTA researchers investigate why graph isomorphism algorithms seem to be so effective Graphs are everywhere. In discrete mathematics, they are structures that show the connections between points, much like a public transportation network. Mathematicians have long sought to develop algorithms that can compare any two graphs.

Abstract algebra and algebraic geometry to connect quantum physics with number theory Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. In a new study published in PNAS , Tamás Hausel, professor of mathematics at the Institute of Science and Technology Austria (ISTA), presents "big algebras," a two-way mathematical 'dictionary' between symmetry, algebra, and geometry, that could strengthen the connection between the distant worlds of quantum physics and number theory.

A simple concept of decay and fission of "magnetic quivers" helps to clarify complex quantum physics and mathematical structures.

Scientists at ISTA present a new mathematic model for cooperation Human coexistence depends on cooperation. Individuals have different motivations and reasons to collaborate, resulting in social dilemmas, such as the well-known prisoner's dilemma. Scientists from the Chatterjee group at the Institute of Science and Technology Austria (ISTA) now present a new mathematical principle that helps to understand the cooperation of individuals with different characteristics.