Zobrazeno 1 - 10
of 76
pro vyhledávání: '"Fuji, Hiroyuki"'
Autor:
Fuji, Hiroyuki, Manabe, Masahide
Publikováno v:
SIGMA 20 (2024), 043, 86 pages
Via Andersen-Borot-Orantin's geometric recursion, a twist of the topological recursion was proposed, and a recursion for the Masur-Veech polynomials was uncovered. The purpose of this article is to explore generalizations of Mirzakhani's recursion ba
Externí odkaz:
http://arxiv.org/abs/2303.14154
We introduce a new, simplified model of proteins, which we call protein metastructure. The metastructure of a protein carries information about its secondary structure and $\beta$-strand conformations. Furthermore, protein metastructure allows us to
Externí odkaz:
http://arxiv.org/abs/2111.14501
In this paper, for a Seifert loop (i.e., a knot in a Seifert three-manifold), first we give a family of an explicit function $\Phi(q; N)$ whose special values at roots of unity are identified with the Witten-Reshetikhin-Turaev invariants of the Seife
Externí odkaz:
http://arxiv.org/abs/2007.15872
We compute individual distributions of low-lying eigenvalues of massive chiral random matrix ensembles by the Nystr\"om-type quadrature method for evaluating the Fredholm determinant and Pfaffian that represent the analytic continuation of the Janoss
Externí odkaz:
http://arxiv.org/abs/1903.07176
In this article, a novel description of the hypergeometric differential equation found from Gel'fand-Kapranov-Zelevinsky's system (referred to GKZ equation) for Givental's $J$-function in the Gromov-Witten theory will be proposed. The GKZ equation in
Externí odkaz:
http://arxiv.org/abs/1708.09365
Publikováno v:
Trav. Math. 25 (2017) 213
We introduce the boundary length and point spectrum, as a joint generalization of the boundary length spectrum and boundary point spectrum in arXiv:1307.0967. We establish by cut-and-join methods that the number of partial chord diagrams filtered by
Externí odkaz:
http://arxiv.org/abs/1612.06482
Autor:
Andersen, Jørgen Ellegaard, Fuji, Hiroyuki, Manabe, Masahide, Penner, Robert C., Sułkowski, Piotr
Publikováno v:
Trav. Math. 25 (2017) 233
In this article, the enumeration of partial chord diagrams is discussed via matrix model techniques. In addition to the basic data such as the number of backbones and chords, we also consider the Euler characteristic, the backbone spectrum, the bound
Externí odkaz:
http://arxiv.org/abs/1612.05840
Autor:
Andersen, Jørgen Ellegaard, Fuji, Hiroyuki, Manabe, Masahide, Penner, Robert C., Sułkowski, Piotr
Publikováno v:
Trav. Math. 25 (2017) 285
In this paper we consider the enumeration of orientable and non-orientable chord diagrams. We show that this enumeration is encoded in appropriate expectation values of the $\beta$-deformed Gaussian and RNA matrix models. We evaluate these expectatio
Externí odkaz:
http://arxiv.org/abs/1612.05839
Akademický článek
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Autor:
Fuji, Hiroyuki, Sułkowski, Piotr
Publikováno v:
Proceedings of Symposia in Pure Mathematics 90 (2015) 277
We review a construction of a new class of algebraic curves, called super-A-polynomials, and their quantum generalizations. The super-A-polynomial is a two-parameter deformation of the A-polynomial known from knot theory or Chern-Simons theory with S
Externí odkaz:
http://arxiv.org/abs/1303.3709