A. Mironov
Research Subjects
A. Mironov has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Luc Vinet
Université de Montréal
2 shared publications - A. Mironov
ITEP 117 259 Moscow Russia
1 shared publication - A. Morozov
ITEP 117 259 Moscow Russia
1 shared publication
Latest Publications
- 1 July 1994
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 100 (1) , 890-899
On ac-number quantum τ-function
- 1 July 1994
- Published by Springer Nature in Theoretical and Mathematical Physics
- Vol. 100 (1) , 890-899
On ac-number quantum τ-function
- Open Access
On a c-number quantum $τ$-function
We first review the properties of the conventional $\tau$-functions of the KP and Toda-lattice hierarchies. A straightforward generalization is then discussed. It corresponds to passing from differential to finite-difference equations; it does not involve however the concept of operator-valued $\tau$-function nor the one associated with non-Cartanian (level $k\ne1$) algebras. The present study could be useful to understand better $q$-free fields and their relation to ordinary free fields.
Open AccessOn a c-number quantum $τ$-function
We first review the properties of the conventional $\tau$-functions of the KP and Toda-lattice hierarchies. A straightforward generalization is then discussed. It corresponds to passing from differential to finite-difference equations; it does not involve however the concept of operator-valued $\tau$-function nor the one associated with non-Cartanian (level $k\ne1$) algebras. The present study could be useful to understand better $q$-free fields and their relation to ordinary free fields.
- Open Access$2d$ gravity and matrix models. I. $2d$ gravitySome approaches to $2d$ gravity developed for the last years are reviewed. They are physical (Liouville) gravity, topological theories and matrix models. A special attention is paid to matrix models and their interrelations with different approaches. Almost all technical details are omitted, but examples are presented.Open Access$2d$ gravity and matrix models. I. $2d$ gravitySome approaches to $2d$ gravity developed for the last years are reviewed. They are physical (Liouville) gravity, topological theories and matrix models. A special attention is paid to matrix models and their interrelations with different approaches. Almost all technical details are omitted, but examples are presented.