Analyticity results for the cumulants in a random matrix model
The generating function of the cumulants in random matrix models, as well as the cumulants themselves, can be expanded as asymptotic (divergent) series indexed by maps. While at fixed genus the sums over maps converge, the sums over genera do not. In this paper we obtain alternative expansions both...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
September 8, 2014
|
| In: |
Arxiv
Year: 2014, Pages: 1-9 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/1409.1705
|
| Author Notes: | R. Gurau and T. Krajewski |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1804984256 | ||
| 003 | DE-627 | ||
| 005 | 20221005183905.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 220530s2014 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.48550/arXiv.1409.1705 |2 doi | |
| 035 | |a (DE-627)1804984256 | ||
| 035 | |a (DE-599)KXP1804984256 | ||
| 035 | |a (OCoLC)1341460527 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 29 |2 sdnb | ||
| 100 | 1 | |a Gurǎu, Rǎzvan |d 1980- |e VerfasserIn |0 (DE-588)1125382333 |0 (DE-627)879905778 |0 (DE-576)483375152 |4 aut | |
| 245 | 1 | 0 | |a Analyticity results for the cumulants in a random matrix model |c R. Gurau and T. Krajewski |
| 264 | 1 | |c September 8, 2014 | |
| 300 | |a 9 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Version 1 vom 5. September 2014 | ||
| 500 | |a Gesehen am 05.10.2022 | ||
| 520 | |a The generating function of the cumulants in random matrix models, as well as the cumulants themselves, can be expanded as asymptotic (divergent) series indexed by maps. While at fixed genus the sums over maps converge, the sums over genera do not. In this paper we obtain alternative expansions both for the generating function and for the cumulants that cure this problem. We provide explicit and convergent expansions for the cumulants, for the remainders of their perturbative expansion (in the size of the maps) and for the remainders of their topological expansion (in the genus of the maps). We show that any cumulant is an analytic function inside a cardioid domain in the complex plane and we prove that any cumulant is Borel summable at the origin. | ||
| 650 | 4 | |a 60B20 | |
| 650 | 4 | |a High Energy Physics - Theory | |
| 650 | 4 | |a Mathematical Physics | |
| 700 | 1 | |a Krajewski, Thomas |e VerfasserIn |0 (DE-588)125570943X |0 (DE-627)179983610X |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Arxiv |d Ithaca, NY : Cornell University, 1991 |g (2014), Artikel-ID 1409.1705, Seite 1-9 |h Online-Ressource |w (DE-627)509006531 |w (DE-600)2225896-6 |w (DE-576)28130436X |7 nnas |a Analyticity results for the cumulants in a random matrix model |
| 773 | 1 | 8 | |g year:2014 |g elocationid:1409.1705 |g pages:1-9 |g extent:9 |a Analyticity results for the cumulants in a random matrix model |
| 856 | 4 | 0 | |u http://arxiv.org/abs/1409.1705 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20220530 | ||
| 993 | |a Article | ||
| 994 | |a 2014 | ||
| 998 | |g 1125382333 |a Gurǎu, Rǎzvan |m 1125382333:Gurǎu, Rǎzvan |p 1 |x j | ||
| 999 | |a KXP-PPN1804984256 |e 4141145491 | ||
| BIB | |a Y | ||
| JSO | |a {"name":{"displayForm":["R. Gurau and T. Krajewski"]},"origin":[{"dateIssuedDisp":"September 8, 2014","dateIssuedKey":"2014"}],"id":{"doi":["10.48550/arXiv.1409.1705"],"eki":["1804984256"]},"physDesc":[{"extent":"9 S."}],"relHost":[{"type":{"bibl":"edited-book","media":"Online-Ressource"},"disp":"Analyticity results for the cumulants in a random matrix modelArxiv","note":["Gesehen am 28.05.2024"],"recId":"509006531","language":["eng"],"pubHistory":["1991 -"],"part":{"year":"2014","pages":"1-9","text":"(2014), Artikel-ID 1409.1705, Seite 1-9","extent":"9"},"titleAlt":[{"title":"Arxiv.org"},{"title":"Arxiv.org e-print archive"},{"title":"Arxiv e-print archive"},{"title":"De.arxiv.org"}],"title":[{"title":"Arxiv","title_sort":"Arxiv"}],"physDesc":[{"extent":"Online-Ressource"}],"origin":[{"publisher":"Cornell University ; Arxiv.org","dateIssuedKey":"1991","dateIssuedDisp":"1991-","publisherPlace":"Ithaca, NY ; [Erscheinungsort nicht ermittelbar]"}],"id":{"zdb":["2225896-6"],"eki":["509006531"]}}],"person":[{"display":"Gurǎu, Rǎzvan","roleDisplay":"VerfasserIn","role":"aut","family":"Gurǎu","given":"Rǎzvan"},{"role":"aut","display":"Krajewski, Thomas","roleDisplay":"VerfasserIn","given":"Thomas","family":"Krajewski"}],"title":[{"title":"Analyticity results for the cumulants in a random matrix model","title_sort":"Analyticity results for the cumulants in a random matrix model"}],"type":{"bibl":"chapter","media":"Online-Ressource"},"note":["Version 1 vom 5. September 2014","Gesehen am 05.10.2022"],"recId":"1804984256","language":["eng"]} | ||
| SRT | |a GURAURAZVAANALYTICIT8201 | ||