Two spaces looking for a geometer
无序系统与神经网络
2007-05-23 v2 统计力学
摘要
In this talk I will introduces two spaces: the first space is the usual n-dimensional vector space with the unusual feature that n is non-integer, the second space is composed by the linear matrices acting on the previous space (physicists are particularly interested to study the limit n going to zero). These two spaces are not known to most of the mathematicians, but they are widely used by physicists. It is possible that, by extending the notion of space, they can become well defined mathematical objects.
引用
@article{arxiv.cond-mat/0207334,
title = {Two spaces looking for a geometer},
author = {Giorgio Parisi},
journal= {arXiv preprint arXiv:cond-mat/0207334},
year = {2007}
}
备注
14 pages, Talk given at "New programs and open problems in the foundation of mathematics and of its applications, in year 2000", Paris. A mistake in the title has been corrected