Prof. Eugene Kanzieper has received a grant of 900,000NIS from the Israel Science Foundation

Prof. Eugene Kanzieper, a mathematical physicist from the School of Mathematical Sciences at HIT, has received a grant of 900,000NIS from the Israel Science Foundation for a four-year research project on the "magical world of random matrices".

Prof. Eugene Kanzieper

Prof. Kanzieper explains: "Many physical systems in our world can be described in the mathematical language of matrices, and matrices describing complex or randomly structured physical systems are called random matrices. Random matrices can shed light on universal aspects in the behavior of a vast range of systems, from tiny electronic devices installed in every cellphone, to enormous black holes somewhere in the universe. This mathematical approach was developed by Eugene Wigner, a Jewish Hungarian-American physicist and mathematician and a Nobel Prize laureate."

The study will focus on analyzing complex physical systems by examining their power spectrum, a measure of internal noise energy that reflects the system's underlying structure. In particular, an effort will be made to bring the random matrix theory closer to real measurement procedures in labs.

Prof. Kanzieper explains: "Measuring instruments are never perfect.  Inevitably, some of the information about the power spectrum vanishes is lost during measurement procedures. In our study the fact that measurements are imperfect will be systematically introduced into random matrix theory, bringing mathematics closer to the real world." In addition to the theoretical investigation, extensive numerical experiments will be conducted, using a computational infrastructure that will be upgraded and adapted specifically for this purpose.

Ultimately, this research will provide more accurate tools for analyzing experimental data, offering deeper insights into the behavior of complex and random physical systems.

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Posted: 07/11/2024