#### Loading

- publication . Preprint . Article . 2019Open Access EnglishAuthors:Paweł Borówka; Angela Ortega;doi: 10.1090/tran/7971Project: NSF | Mathematical Sciences Res... (1440140)
Comment: The proof of injectivity of the Prym map in the non-isotropic case has been corrected. To appear in Trans. AMS

- publication . Preprint . 2018Open Access EnglishAuthors:Ruhstorfer, Lucas;Project: NSF | Mathematical Sciences Res... (1440140)
We prove that the cohomology group of a Deligne-Lusztig variety defines a Morita equivalence in a case which is not covered by the argument by Bonnaf\'e, Dat and Rouquier, specifically we consider the situation for semisimple elements in type $D$ whose centralizer has n...

- publication . Article . Preprint . 2019Open AccessAuthors:Bernal, Nicolás; Elahi, Fatemeh; Maldonado, Carlos; Unwin, James;Publisher: IOP PublishingProject: NSF | Mathematical Sciences Res... (1440140), EC | InvisiblesPlus (690575), EC | ELUSIVES (674896)
Comment: 22 pages, 5 figures

- publication . Preprint . 2017Open Access EnglishAuthors:Breiner, Christine; Fraser, Ailana; Huang, Lan-Hsuan; Mese, Chikako; Sargent, Pam; Zhang, Yingying;Project: NSF | Mathematical Sciences Res... (1440140), NSF | The local and global stru... (1308420), NSERC , NSF | Harmonic maps approach to... (1406332), NSF | Geometric Partial Differe... (1308837), NSF | CAREER: Geometric Problem... (1452477)
Let $\varphi\in C^0 \cap W^{1,2}(\Sigma, X)$ where $\Sigma$ is a compact Riemann surface, $X$ is a compact locally CAT(1) space, and $W^{1,2}(\Sigma,X)$ is defined as in Korevaar-Schoen. We use the technique of harmonic replacement to prove that either there exists a ha...

- publication . Article . Preprint . 2016Open AccessAuthors:Aingeru Fernández-Bertolin; Jie Zhong;doi: 10.1051/cocv/2019009Publisher: EDP SciencesProject: NSF | Mathematical Sciences Res... (1440140)
<jats:p>The goal of this paper is to prove a qualitative unique continuation property at two points in time for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy’s uncertainty principle for stochastic heat evol...

- publication . Preprint . 2017Open Access EnglishAuthors:Behrstock, Jason; Hagen, Mark F; Sisto, Alessandro;Project: NSF | Mathematical Sciences Res... (1440140)
The rank of a hierarchically hyperbolic space is the maximal number of unbounded factors of standard product regions; this coincides with the maximal dimension of a quasiflat for hierarchically hyperbolic groups. Noteworthy examples where the rank coincides with familia...

- publication . Preprint . 2019Open Access EnglishAuthors:Krupchyk, Katya; Uhlmann, Gunther;Project: NSF | Mathematical Sciences Res... (1440140), NSF | Analytic and Geometric In... (1815922)
We show that the linear span of the set of scalar products of gradients of harmonic functions on a bounded smooth domain $\Omega\subset \mathbb{R}^n$ which vanish on a closed proper subset of the boundary is dense in $L^1(\Omega)$. We apply this density result to solve ...

- publication . Article . Preprint . 2017Open AccessAuthors:Maher, Joseph; Sisto, Alessandro;doi: 10.1093/imrn/rnx233Publisher: Oxford University Press (OUP)Project: NSF | Mathematical Sciences Res... (1440140)
<jats:title>Abstract</jats:title> <jats:p>Let $G$ be an acylindrically hyperbolic group. We consider a random subgroup $H$ in $G$, generated by a finite collection of independent random walks. We show that, with asymptotic probability one, such a random subgroup $H$ of ...

- publication . Preprint . 2018Open Access EnglishAuthors:Mazzucchelli, Marco; Suhr, Stefan;Project: NSF | Mathematical Sciences Res... (1440140)
Comment: 24 pages, 1 figure; version 2: Theorem 1.1 now stated for manifolds homeomorphic to odd-dimensional spheres (the original statement was correct, but indeed the assumptions made on the manifold forced it to be a topological sphere according to Bott-Samelson theo...

- publication . Preprint . 2019Open Access EnglishAuthors:Scholtz, Jakub; Unwin, James;Project: NSF | Mathematical Sciences Res... (1440140)
Comment: 7 pages, 1 exact scale illustration of a 5 Earth mass black hole