Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Durham, Matthew"'
Autor:
Durham, Matthew Gentry
We prove that the hierarchical hull of any finite set of interior points, hierarchy rays, and boundary points in a hierarchically hyperbolic space (HHS) is quasi-median quasi-isometric to a CAT(0) cube complex of bounded dimension. Our construction e
Externí odkaz:
http://arxiv.org/abs/2308.13689
Autor:
Durham, Matthew Gentry, Zalloum, Abdul
Random walks on spaces with hyperbolic properties tend to sublinearly track geodesic rays which point in certain hyperbolic-like directions. Qing-Rafi-Tiozzo recently introduced the sublinearly Morse boundary and proved that this boundary is a quasi-
Externí odkaz:
http://arxiv.org/abs/2207.06516
Publikováno v:
Comment. Math. Helv. 99 (2024), no. 1, pp. 149-228
We show that for any lattice Veech group in the mapping class group $\mathrm{Mod}(S)$ of a closed surface $S$, the associated $\pi_1 S$--extension group is a hierarchically hyperbolic group. As a consequence, we prove that any such extension group is
Externí odkaz:
http://arxiv.org/abs/2111.00685
Publikováno v:
Geom. Topol. 27 (2023) 2383-2478
We prove that the hierarchical hulls of finite sets of points in mapping class groups and Teichm\"uller spaces are stably approximated by a CAT(0) cube complexes, strengthening a result of Behrstock-Hagen-Sisto. As applications, we prove that mapping
Externí odkaz:
http://arxiv.org/abs/2009.13647
Autor:
Wong, Cheuk-Ping, Li, Xuan, Brooks, Melynda, Durham, Matthew J., Liu, Ming Xiong, Morreale, Astrid, da Silva, Cesar, Sondheim, Walter E.
The future Electron-Ion Collider (EIC) will explore several fundamental questions in a broad Bjorken-x ($x_{BJ}$) and $Q^{2}$ phase space. Heavy flavor and jet products are ideal probes to precisely study the tomography of nucleon/nuclei structure, h
Externí odkaz:
http://arxiv.org/abs/2009.02888
Publikováno v:
J. Topol., 16(2023), no.2, 757-805
Given a lattice Veech group in the mapping class group of a closed surface $S$, this paper investigates the geometry of $\Gamma$, the associated $\pi_1S$--extension group. We prove that $\Gamma$ is the fundamental group of a bundle with a singular Eu
Externí odkaz:
http://arxiv.org/abs/2006.16425
Autor:
Guardincerri, Elena, Rowe, Charlotte, Schultz-Fellenz, Emily, Roy, Mousumi, George, Nicolas, Morris, Christopher, Bacon, Jeffrey, Durham, Matthew, Morley, Deborah, Plaud-Ramos, Kenie, Poulson, Daniel, Bonneville, Alain, Kouzes, Richard
Publikováno v:
Pure and Applied Geophysics 174 (2017), 2133-2141
We present an underground cosmic ray muon tomographic experiment imaging 3D density of overburden, part of a joint study with differential gravity. Muon data were acquired at four locations within a tunnel beneath Los Alamos, New Mexico, and used in
Externí odkaz:
http://arxiv.org/abs/1801.04351
We consider two manifestations of non-positive curvature: acylindrical actions on hyperbolic spaces and quasigeodesic stability. We study these properties for the class of hierarchically hyperbolic groups, which is a general framework for studying ma
Externí odkaz:
http://arxiv.org/abs/1705.06219
Autor:
Dowdall, Spencer1 (AUTHOR), Durham, Matthew G.2 (AUTHOR) mdurham@ucr.edu, Leininger, Christopher J.3 (AUTHOR), Sisto, Alessandro4 (AUTHOR)
Publikováno v:
Journal of Topology. Jun2023, Vol. 16 Issue 2, p757-805. 49p.
Publikováno v:
Ann. Inst. Fourier (Grenoble) 68 (2018), no. 6, 2581-2612
We study when the mapping class group of an infinite-type surface $S$ admits an action with unbounded orbits on a connected graph whose vertices are simple closed curves on $S$. We introduce a topological invariant for infinite-type surfaces that det
Externí odkaz:
http://arxiv.org/abs/1611.00841