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people:dobbins:papers_title_only [2021/08/31 12:29]
dobbins created
people:dobbins:papers_title_only [2021/09/08 12:17] (current)
dobbins
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 +{{:​people:​dobbins:​a_point_in_a_nd-polytope_is_the_barycenter_of_n_points_in_its_d-faces.pdf| A point in a nd-polytope is the barycenter of n points in its d-faces}}
 +
 +[[https://​arxiv.org/​pdf/​2108.02134| A strong equivariant deformation retraction from the homeomorphism group of the projective plane to the special orthogonal group]]
 +
 +[[https://​arxiv.org/​pdf/​1908.02213| ​
 +A Universality Theorem for Nested Polytopes.
 +]]
 +
 +{{:​people:​dobbins:​antiprismlessness.pdf| Antiprismlessness,​ or: Reducing combinatorial equivalence to
 +projective equivalence in realizability problems for polytopes}}
 +
 +[[https://​arxiv.org/​pdf/​1809.01613| Barycenters of points in polytope skeleta]]
 +
 +[[https://​arxiv.org/​pdf/​2106.08907| Continuous dependence of curvature flow on initial conditions]]
 +
 +{{:​people:​dobbins:​grassmannians_and_pseudosphere_arrangements.pdf| Grassmannians and pseudosphere arrangements}}
 +
 +{{:​people:​dobbins:​packing_segments_in_a_convex_3-polytope_is_np-hard.pdf|
 +Packing segments in a convex 3-polytope is NP-hard. ​
 +}}
 +
 +{{:​people:​dobbins:​realizability_of_polytopes_as_a_low_rank_matrix_completion_problem.pdf| Realizability of polytopes as a low rank matrix completion problem}}
 +
 +{{:​people:​dobbins:​realization_spaces_of_arrangements_of_convex_bodies.pdf| Realization spaces of arrangements of convex bodies}}
 +
 +{{:​people:​dobbins:​realization_spaces_of_arrangements_of_convex_bodies_socg_.pdf|
 +Realization spaces of arrangements of convex bodies (SoCG)}}
 +
 +{{:​people:​dobbins:​regular_systems_of_paths_and_families_of_convex_sets_in_convex_position.pdf| Regular systems of
 +paths and families of convex sets in convex position}}
 +
 +{{:​people:​dobbins:​shadows_of_a_closed_curve.pdf| Shadows of a closed curve}}
 +
 +{{:​people:​dobbins:​the_erdos-szekeres_problem_for_non-crossing_convex_sets.pdf| The Erdős-Szekeres
 +problem for non-crossing convex sets}}
 +
 +{{:​people:​dobbins:​the_inverse_kakeya_problem.pdf| The inverse Kakeya problem}}
 +
 +{{:​people:​dobbins:​the_number_of_holes_in_the_union_of_translates_of_a_convex_set_in_three_dimensions.pdf| The number
 +of holes in the union of translates of a convex set in three dimensions}}
 +
 +{{:​people:​dobbins:​the_number_of_holes_in_the_union_of_translates_of_a_convex_set_in_three_dimensions_socg_.pdf|
 +The number
 +of holes in the union of translates of a convex set in three dimensions (SoCG)}}
 +
 +{{:​people:​dobbins:​the_shadows_of_a_cycle_cannot_all_be_paths.pdf| The shadows of a cycle cannot all be paths}}
 +
 +{{:​people:​dobbins:​weight_balancing_on_boundaries_and_skeletons.pdf| Weight balancing on boundaries and skeletons}}
 +
 +[[https://​arxiv.org/​pdf/​1712.05142| ∀∃R-completeness and area-universality]]
 +
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