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pro vyhledávání: '"Russell Ricks"'
Autor:
Russell Ricks
Publikováno v:
Ergodic Theory and Dynamical Systems. 42:1220-1251
Let X be a compact, geodesically complete, locally CAT(0) space such that the universal cover admits a rank-one axis. Assume X is not homothetic to a metric graph with integer edge lengths. Let $P_t$ be the number of parallel classes of oriented clos
Autor:
Russell Ricks
Publikováno v:
Algebraic & Geometric Topology. 21:1723-1744
Let k be at most 0, and let X be a locally-finite CAT(k) polyhedral 2-complex X, each face with constant curvature k. Let E be a closed, rectifiably-connected subset of X with trivial first singular homology. We show that E, under the induced path me
Autor:
Curtis Kent, Russell Ricks
Publikováno v:
Indiana University Mathematics Journal. 70:1441-1469
Autor:
Russell Ricks
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 41:507-523
Let $X$ be a compact, geodesically complete, locally CAT(0) space such that the universal cover admits a rank one axis. We prove the Bowen-Margulis measure on the space of geodesics is the unique measure of maximal entropy for the geodesic flow, whic
Autor:
Russell Ricks
Publikováno v:
Groups, Geometry, and Dynamics. 14:283-295
Autor:
Russell Ricks
Publikováno v:
Forum Mathematicum. 31:1317-1330
We prove the following rank rigidity result for proper CAT(0) spaces with one-dimensional Tits boundaries: Let $\Gamma$ be a group acting properly discontinuously, cocompactly, and by isometries on such a space $X$. If the Tits diameter of $\partial
Autor:
Russell Ricks
Publikováno v:
Tsukuba J. Math. 44, no. 1 (2020), 139-153
Let $M_k$ be the complete, simply connected, Riemannian 2-manifold of constant curvature $k \le 0$. Let $E$ be a closed, simply connected subspace of $M_k$ with the property that every two points in $E$ is connected by a rectifiable path in $E$. We s
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::231101ad51aa30ba28836c38787f0397
https://projecteuclid.org/euclid.tkbjm/1608606017
https://projecteuclid.org/euclid.tkbjm/1608606017
Autor:
Russell Ricks
Publikováno v:
Ergodic Theory and Dynamical Systems. 37:939-970
Let $X$ be a proper, geodesically complete CAT(0) space under a proper, non-elementary, isometric action by a group $\Gamma$ with a rank one element. We construct a generalized Bowen-Margulis measure on the space of unit-speed parametrized geodesics
Autor:
Russell Ricks
WHEN SCHOOL BULLYING became more than he could bear, one small first-grader asked his Heavenly Father if he could return home to heaven. Instead, he was shown a miraculous vision of life beyond the veil and the promised blessings awaiting him. In Rem
Autor:
Russell Ricks, Darrin Doud
Publikováno v:
Proceedings of the American Mathematical Society. 138:409-415
Paul Gunnells has developed an algorithm for computing actions of Hecke operators on arithmetic cohomology below the cohomological dimension. One version of his algorithm uses a conjecture concerning LLL-reduced matrices. We prove this conjecture for