Multi-level loop equations for $β$-corners processes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2021
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| _version_ | 1866913317375705088 |
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| author | Dimitrov, Evgeni Knizel, Alisa |
| author_facet | Dimitrov, Evgeni Knizel, Alisa |
| contents | The goal of the paper is to introduce a new set of tools for the study of discrete and continuous $β$-corners processes. In the continuous setting, our work provides a multi-level extension of the loop equations (also called Schwinger-Dyson equations) for $β$-log gases obtained by Borot and Guionnet in (Commun. Math. Phys. 317, 447-483, 2013). In the discrete setting, our work provides a multi-level extension of the loop equations (also called Nekrasov equations) for discrete $β$-ensembles obtained by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2108_07710 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Multi-level loop equations for $β$-corners processes Dimitrov, Evgeni Knizel, Alisa Probability 82C41, 33D45, 52C20 The goal of the paper is to introduce a new set of tools for the study of discrete and continuous $β$-corners processes. In the continuous setting, our work provides a multi-level extension of the loop equations (also called Schwinger-Dyson equations) for $β$-log gases obtained by Borot and Guionnet in (Commun. Math. Phys. 317, 447-483, 2013). In the discrete setting, our work provides a multi-level extension of the loop equations (also called Nekrasov equations) for discrete $β$-ensembles obtained by Borodin, Gorin and Guionnet in (Publications math{\' e}matiques de l'IH{\' E}S 125, 1-78, 2017). |
| title | Multi-level loop equations for $β$-corners processes |
| topic | Probability 82C41, 33D45, 52C20 |
| url | https://arxiv.org/abs/2108.07710 |