István Berkes,Bence Borda
István Berkes
Random walks on the circle group R/Z whose elementary steps are lattice variables with span α∉Q or p/q∈Q taken mod Z exhibit delicate behavior. In the rational case, we have a random walk on the finite cyclic subgroup Zq, a...
Hyperbolic angles in Lorentzian length spaces and timelike curvature bounds [0.03%]
洛伦兹空间中的双曲角及类时曲率界
Tobias Beran,Clemens Sämann
Tobias Beran
Within the synthetic-geometric framework of Lorentzian (pre-)length spaces developed in Kunzinger and Sämann (Ann. Glob. Anal. Geom. 54 (2018), no. 3, 399-447) we introduce a notion of a hyperbolic angle, an angle between timelike curves a...
Brandon Hanson,Oliver Roche-Newton,Steven Senger
Brandon Hanson
Let P⊂R2 be a point set with cardinality N. We give an improved bound for the number of dot products determined by P, proving that |{p·q:p,q∈P}|≫N2/3+c.A crucial ingredient in the proof of this bound is a new superqua...
Singular boundary behaviour and large solutions for fractional elliptic equations [0.03%]
奇异边界行为和分数椭圆方程的大解
Nicola Abatangelo,David Gómez-Castro,Juan Luis Vázquez
Nicola Abatangelo
We perform a unified analysis for the boundary behaviour of solutions to nonlocal fractional equations posed in bounded domains. Based on previous findings for some models of the fractional Laplacian operator, we show how it strongly differ...
Virasoro conjecture for the stable pairs descendent theory of simply connected 3-folds (with applications to the Hilbert scheme of points of a surface) [0.03%]
有理连通三维簇的稳定配对下降理论中的维拉索罗猜想及其在曲面上点的理想希尔伯特方案中的应用
Miguel Moreira
Miguel Moreira
This paper concerns the recent Virasoro conjecture for the theory of stable pairs on a 3-fold proposed by Oblomkov, Okounkov, Pandharipande, and the author. Here we extend the conjecture to 3-folds with non- ( p , p ) -cohomology and we ...
Aleksey Kostenko,Delio Mugnolo,Noema Nicolussi
Aleksey Kostenko
We investigate the relationship between one of the classical notions of boundaries for infinite graphs, graph ends, and self-adjoint extensions of the minimal Kirchhoff Laplacian on a metric graph. We introduce the notion of finite volume f...
Arman Darbinyan,Markus Steenbock
Arman Darbinyan
We prove that every countable left-ordered group embeds into a finitely generated left-ordered simple group. Moreover, if the first group has a computable left-order, then the simple group also has a computable left-order. We also obtain a ...
Ben Davison,Andrea T Ricolfi
Ben Davison
We show that the Quot scheme Q L n = Quot A 3 ( I L , n ) parameterising length n quotients of the ideal sheaf of a line in A 3 is a global critical locus, and calculate the resulting motivic partition function (varying n ), in the rin...
Léa Bittmann
Léa Bittmann
We define and construct a quantum Grothendieck ring for a certain monoidal subcategory of the category O of representations of the quantum loop algebra introduced by Hernandez-Jimbo. We use the cluster algebra structure of the Grothendieck ...
C˘UC˘KOVIĆ, Z˘ELJKO; ZHAO, RUHAN
C˘UC˘KOVIĆ