Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Share This Author
Categorification of Persistent Homology
- Peter Bubenik, Jonathan A. Scott
- MathematicsDiscret. Comput. Geom.
- 16 May 2012
TLDR
Metrics for Generalized Persistence Modules
- Peter Bubenik, Vin de Silva, Jonathan A. Scott
- MathematicsFound. Comput. Math.
- 13 December 2013
TLDR
A canonical enriched Adams-Hilton model for simplicial sets
- K. Hess, Paul-Eugène Parent, Jonathan A. Scott, A. Tonks
- Mathematics
- 17 August 2004
An algebraic Wasserstein distance for generalized persistence modules
- Peter Bubenik, Jonathan A. Scott, Donald Stanley
- Mathematics, Computer Science
- 25 September 2018
TLDR
CoHochschild homology of chain coalgebras
- K. Hess, Paul-Eugène Parent, Jonathan A. Scott
- Mathematics
- 7 November 2007
Co-rings over operads characterize morphisms
- K. Hess, Paul-Eugène Parent, Jonathan A. Scott
- Mathematics
- 26 May 2005
Let M be a bicomplete, closed symmetric monoidal category. Let P be an operad in M, i.e., a monoid in the category of symmetric sequences of objects in M, with its composition monoidal structure. Let…
CoHohschild and cocyclic homology of chain coalgebras
- K. Hess, Paul-Eugène Parent, Jonathan A. Scott
- Mathematics
- 7 November 2007
Generalizing work of Doi and of Farinati and Solotar, we define coHochschild and cocyclic homology theories for chain coalgebras over any commutative ring and prove their naturality with respect to…
Interleaving and Gromov-Hausdorff distance
- Peter Bubenik, Vin de Silva, Jonathan A. Scott
- Mathematics
- 19 July 2017
One of the central notions to emerge from the study of persistent homology is that of interleaving distance. It has found recent applications in symplectic and contact geometry, sheaf theory,…
Categorification of Gromov-Hausdorff Distance and Interleaving of Functors
- Peter Bubenik, Vin de Silva, Jonathan A. Scott
- Mathematics
- 19 July 2017
One of the central notions to emerge from the study of persistent homology is that of interleaving distance. Here we present a general study of this topic. We define interleaving of categories and of…
Wasserstein distance for generalized persistence modules and abelian categories
- Peter Bubenik, Jonathan A. Scott, Donald Stanley
- Mathematics
- 25 September 2018
In persistence theory and practice, measuring distances between modules is central. The Wasserstein distances are the standard family of L^p distances for persistence modules. They are defined in a…
...
...