# advanced mathematical theories

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-mathematical-theories/

## Facts

| Field | Value |
| --- | --- |
| Citations | 432,447 |
| Description | This cluster of papers focuses on the application of p-adic numbers and ultrametric spaces in mathematical physics, particularly in areas such as string theory, dynamics, wavelets, nonlinear equations, and Gibbs measures. It explores the implications of p-adic models in understanding phenomena in ultrametric spaces and their relevance to mathematical physics. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T13234 |
| Works | 53,148 |

## Topic papers all

- [Multiplicities of dihedral discriminants](https://scholariq.org/papers/multiplicities-of-dihedral-discriminants/)
- [Global well-posedness of the energy-critical stochastic nonlinear Schrödinger equation on the three-dimensional torus](https://scholariq.org/papers/global-well-posedness-of-the-energy-critical-stochastic-nonlinear-schrodinger/)
- [Random data final-state problem of fourth-order inhomogeneous NLS](https://scholariq.org/papers/random-data-final-state-problem-of-fourth-order-inhomogeneous-nls/)

## Topic researchers

Showing 12 of 20.

- [Herbert A. Simon](https://scholariq.org/researchers/herbert-a-simon/)
- [M. E. J. Newman](https://scholariq.org/researchers/m-e-j-newman/)
- [Claude E. Shannon](https://scholariq.org/researchers/claude-e-shannon/)
- [Robert M. May](https://scholariq.org/researchers/robert-m-may/)
- [Thomas J.R. Hughes](https://scholariq.org/researchers/thomas-j-r-hughes/)
- [Steven Weinberg](https://scholariq.org/researchers/steven-weinberg/)
- [J. Goh](https://scholariq.org/researchers/j-goh/)
- [E. Torassa](https://scholariq.org/researchers/e-torassa/)
- [M. Shoaib](https://scholariq.org/researchers/m-shoaib/)
- [Ronald L. Rivest](https://scholariq.org/researchers/ronald-l-rivest/)
- [Terence Tao](https://scholariq.org/researchers/terence-tao/)
- [Frank Wilczek](https://scholariq.org/researchers/frank-wilczek/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.