ARITHQUANTUMCHAOS (320755)

  https://cordis.europa.eu/project/id/320755

  FP7 (2007-2013)

  Arithmetic and Quantum Chaos

  ERC Advanced Grant - Mathematical foundations (ERC-AG-PE1)

  arithmetics

  2013-02-01 Start Date (YY-MM-DD)

  2019-01-31 End Date (YY-MM-DD)

  € 1,714,000 Total Cost

  Description

Quantum Chaos is an emerging discipline which is crossing over from Physics into Pure Mathematics. The recent crossover is driven in part by a connection with Number Theory. This project explores several aspects of this interrelationship and is composed of a number of sub-projects. The sub-projects deal with: statistics of energy levels and wave functions of pseudo-integrable systems, a hitherto unexplored subject in the mathematical community which is not well understood in the physics community; with statistics of zeros of zeta functions over function fields, a purely number theoretic topic which is linked to the subproject on Quantum Chaos through the mysterious connections to Random Matrix Theory and an analogy between energy levels and zeta zeros; and with spatial statistics in arithmetic.

  Complicit Organisations

1 Israeli organisation participates in ARITHQUANTUMCHAOS.