Zobrazeno 1 - 10 of 105 pro vyhledávání: '"Peter Zograf"'
1
Akademický článek
Gravity as an ensemble and the moment problem
Autor: Oliver Janssen, Mehrdad Mirbabayi, Peter Zograf
Publikováno v: Journal of High Energy Physics, Vol 2021, Iss 6, Pp 1-19 (2021)
Abstract If a bulk gravitational path integral can be identified with an average of partition functions over an ensemble of boundary quantum theories, then a corresponding moment problem can be solved. We review existence and uniqueness criteria for
Externí odkaz: https://doaj.org/article/21668591ec524e7b88270c885d56f738
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2
Akademický článek
ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES
Autor: VINCENT DELECROIX, ÉLISE GOUJARD, PETER ZOGRAF, ANTON ZORICH
Publikováno v: Forum of Mathematics, Pi, Vol 8 (2020)
A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. Meanders can be traced back to H. Poincaré and naturally appear in various area
Externí odkaz: https://doaj.org/article/9c1c02dc22f04a1293691ceda6398208
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3
Masur–Veech volumes, frequencies of simple closed geodesics, and intersection numbers of moduli spaces of curves
Autor: Vincent Delecroix, Elise Goujard, Peter Zograf, Anton Zorich
Publikováno v: Duke Mathematical Journal
Duke Mathematical Journal, Duke University Press, 2021, 170 (12), pp.2633-2718. ⟨10.1215/00127094-2021-0054⟩
Duke Mathematical Journal, Duke University Press, In press
Duke Mathematical Journal, 2021, 170 (12), pp.2633-2718. ⟨10.1215/00127094-2021-0054⟩
We express the Masur-Veech volume and the area Siegel-Veech constant of the moduli space $\mathcal{Q}_{g,n}$ of genus $g$ meromorphic quadratic differentials with $n$ simple poles as polynomials in the intersection numbers of $\psi$-classes with expl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb73d25793d466c5cdd909573ad20b99
https://doi.org/10.1215/00127094-2021-0054
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4
An Explicit Formula for Witten’s 2-Correlators
Autor: Peter Zograf
Publikováno v: Journal of Mathematical Sciences. 240:535-538
An explicit closed-form expression for the 2-correlators of Witten’s two-dimensional topological gravity is derived in arbitrary genus.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e6344b3f34976824c596327ab0c2a17
https://doi.org/10.1007/s10958-019-04371-1
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5
Tau functions, Prym-Tyurin classes and loci of degenerate differentials
Autor: Dmitry Korotkin, Adrien Sauvaget, Peter Zograf
Publikováno v: Mathematische Annalen
Mathematische Annalen, Springer Verlag, 2019, 375 (1-2), pp.213-246. ⟨10.1007/s00208-019-01836-1⟩
We study the rational Picard group of the projectivized moduli space of holomorphic n-differentials on complex genus g stable curves. We define (n - 1) natural classes in this Picard group that we call Prym-Tyurin classes. We express these classes as
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e9a9a79c33209220343de5863163b03a
https://doi.org/10.1007/s00208-019-01836-1
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6
Gravity as an ensemble and the moment problem
Autor: Mehrdad Mirbabayi, Peter Zograf, Oliver Janssen
Publikováno v: Journal of High Energy Physics, Vol 2021, Iss 6, Pp 1-19 (2021)
Journal of High Energy Physics
If a bulk gravitational path integral can be identified with an average of partition functions over an ensemble of boundary quantum theories, then a corresponding moment problem can be solved. We review existence and uniqueness criteria for the Stiel
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4977c19b572f8abb331babacd94a3d0f
https://doi.org/10.1007/jhep06(2021)184
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7
Uniform Lower Bound for Intersection Numbers of $\psi$-Classes
Autor: Vincent Delecroix, Peter Zograf, Elise Goujard, Anton Zorich
Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications
We approximate intersection numbers $\big\langle \psi_1^{d_1}\cdots \psi_n^{d_n}\big\rangle_{g,n}$ on Deligne-Mumford's moduli space $\overline{\mathcal M}_{g,n}$ of genus $g$ stable complex curves with $n$ marked points by certain closed-form expres
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60d34fb2775e2477cef6d7ae2121008a
http://arxiv.org/abs/2004.02749
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8
Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes
Autor: null Philip ENGEL, null Anton ZORICH, null Peter ZOGRAF, null Elise GOUJARD, null Vincent DELECROIX
Publikováno v: Asterisque
Asterisque, 2020, Quelques aspects de la théorie des systèmes dynamiques: un hommage à Jean-Christophe Yoccoz. I, 415 (415), pp.223--274. ⟨10.24033/ast.1107⟩
Asterisque, Société Mathématique de France, 2020, Quelques aspects de la théorie des systèmes dynamiques: un hommage à Jean-Christophe Yoccoz. I, pp.223--274. ⟨10.24033/ast.1107⟩
We compute explicitly the absolute contribution of square-tiled surfaces having a single horizontal cylinder to the Masur-Veech volume of any ambient stratum of Abelian differentials. The resulting count is particularly simple and efficient in the la
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92b1ca58e04dcfdd20760ffed03d69fa
https://hal.science/hal-02482058
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10
Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials
Autor: Anton Zorich, Peter Zograf, Vincent Delecroix, Elise Goujard, Amol Aggarwal
Publikováno v: Arnold Mathematical Journal
Arnold Mathematical Journal, Springer, 2020, 6 (2), pp.149--161
Arnold Mathematical Journal, 2020, 6 (2), pp.149--161
We state conjectures on the asymptotic behavior of the Masur-Veech volumes of strata in the moduli spaces of meromorphic quadratic differentials and on the asymptotics of their area Siegel-Veech constants as the genus tends to infinity.
10 pages
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::25a9011318ad56e87a2fbbe35be66193
http://arxiv.org/abs/1912.11702
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