506 citations
- Virginia TechUS9 papers
- Saint Joseph's UniversityUS8 papers
- Instituto Politécnico NacionalMX5 papers
- Kent State UniversityUS5 papers
- Laboratoire de Physique Théorique et ModélisationFR5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- University of South CarolinaUS4 papers
- Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMX3 papers
- Glenn Research CenterUS3 papers
- Indiana University BloomingtonUS3 papers
- Nanyang Technological UniversitySG3 papers
- National Aeronautics and Space AdministrationUS3 papers
5 papers · 1 filter
A Byzantine Fault Tolerant Distributed Commit Protocol
Wenbing Zhao
In this paper, we present a Byzantine fault tolerant distributed commit protocol for transactions running over untrusted networks. The traditional two-phase commit protocol is enha…
Criteria for Components of a Function Space to be Homotopy Equivalent
Gregory Lupton, Samuel Bruce Smith
We give a general method that may be effectively applied to the question of whether two components of a function space have the same homotopy type. We describe certain group-like a…
Densities for random balanced sampling
Peter Bubenik, John Holbrook
A random balanced sample (RBS) is a multivariate distribution with n components X_1,...,X_n, each uniformly distributed on [-1, 1], such that the sum of these components is precise…
The evaluation subgroup of a fibre inclusion
Gregory Lupton, Samuel Bruce Smith
Given a fibration of simply connected CW complexes of finite type, we study the evaluation subgroup of the fibre inclusion as an invariant of fibre-homotopy type. For spherical fib…
A statistical approach to persistent homology
Peter Bubenik, Peter T. Kim
Assume that a finite set of points is randomly sampled from a subspace of a metric space. Recent advances in computational topology have provided several approaches to recovering t…