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bibliography.bib
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@incollection{takens1981detecting,
title={Detecting strange attractors in turbulence},
author={Takens, Floris},
booktitle={Dynamical systems and turbulence, Warwick 1980},
pages={366--381},
year={1981},
publisher={Springer}
}
@inproceedings{chazal2014stochastic,
address = {Kyoto, Japan},
series = {{SOCG}'14},
title = {Stochastic {Convergence} of {Persistence} {Landscapes} and {Silhouettes}},
isbn = {978-1-4503-2594-3},
url = {https://doi.org/10.1145/2582112.2582128},
doi = {10.1145/2582112.2582128},
urldate = {2020-02-07},
booktitle = {Proceedings of the thirtieth annual symposium on {Computational} geometry},
publisher = {Association for Computing Machinery},
author = {Chazal, Frédéric and Fasy, Brittany Terese and Lecci, Fabrizio and Rinaldo, Alessandro and Wasserman, Larry},
month = jun,
year = {2014},
pages = {474--483}
}
@book{milnor1997topology,
title={Topology from the differentiable viewpoint},
author={Milnor, John Willard and Weaver, David W},
year={1997},
publisher={Princeton university press}
}
@book{guillemin2010differential,
title={Differential topology},
author={Guillemin, Victor and Pollack, Alan},
volume={370},
year={2010},
publisher={American Mathematical Soc.}
}
@incollection{rucco2016characterisation,
title={Characterisation of the idiotypic immune network through persistent entropy},
author={Rucco, Matteo and Castiglione, Filippo and Merelli, Emanuela and Pettini, Marco},
booktitle={Proceedings of ECCS 2014},
pages={117--128},
year={2016},
publisher={Springer}
}
@book {mischaikow04computational,
AUTHOR = {Kaczynski, Tomasz and Mischaikow, Konstantin and Mrozek,
Marian},
TITLE = {Computational homology},
SERIES = {Applied Mathematical Sciences},
VOLUME = {157},
PUBLISHER = {Springer-Verlag, New York},
YEAR = {2004},
PAGES = {xviii+480},
ISBN = {0-387-40853-3},
MRCLASS = {55-02 (37B30 55M20 55M25 68U10 94A08)},
MRNUMBER = {2028588},
MRREVIEWER = {Andrzej Kozlowski},
DOI = {10.1007/b97315},
URL = {https://doi.org/10.1007/b97315},
}
@article{bubenik2015statistical,
title={Statistical topological data analysis using persistence landscapes},
author={Bubenik, Peter},
journal={The Journal of Machine Learning Research},
volume={16},
number={1},
pages={77--102},
year={2015},
publisher={JMLR. org}
}
@article{kerber2017geometry,
title={Geometry helps to compare persistence diagrams},
author={Kerber, Michael and Morozov, Dmitriy and Nigmetov, Arnur},
journal={Journal of Experimental Algorithmics (JEA)},
volume={22},
pages={1--4},
year={2017},
publisher={ACM}
}
@book{stein2011functional,
title={Functional analysis: introduction to further topics in analysis},
author={Stein, Elias M and Shakarchi, Rami},
volume={4},
year={2011},
publisher={Princeton University Press}
}