Zobrazeno 1 - 10 of 39 pro vyhledávání: '"ANTON ZORICH"'
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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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2
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
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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5
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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7
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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8
Right-angled billiards and volumes of moduli spaces of quadratic differentials on CP^1
Autor: Jayadev S. Athreya, Anton Zorich, Alex Eskin
Publikováno v: Annales scientifiques de l'École normale supérieure. 49:1311-1386
We use the relation between the volumes of the strata of mero- morphic quadratic differentials with at most simple poles on CP 1 and counting functions of the number of (bands of) closed geodesics in associated flat met- rics with singularities to pr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::801370397d3057b8fa38b3a81ef03a48
https://doi.org/10.24033/asens.2310
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9
Volumes of Strata of Abelian Differentials and Siegel–Veech Constants in Large Genera
Autor: Anton Zorich, Alex Eskin
Publikováno v: Arnold Mathematical Journal
We state conjectures on the asymptotic behavior of the volumes of moduli spaces of Abelian differentials and their Siegel-Veech constants as genus tends to infinity. We provide certain numerical evidence, describe recent advances and the state of the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fbd5d92d0d93b7af90bd85e153505fb
https://doi.org/10.1007/s40598-015-0028-0
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10
Enumeration of meanders and Masur-Veech volumes
Autor: Elise Goujard, Anton Zorich, Peter Zograf, Vincent Delecroix
Publikováno v: Forum of Mathematics, Pi
Forum of Mathematics, Pi, Professor Robert Guralnick Department of Mathematics|University of Southern California|Los Angeles|CA 90089-2532|USA, 2020, 8, pp.e4. ⟨10.1017/fmp.2020.2⟩
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. Poincar\'e and naturally appear in various are
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e994c41776fca4ea65507efc719a1a9
http://arxiv.org/abs/1705.05190
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