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diff --git a/publications/manuscripts.yaml b/publications/manuscripts.yaml new file mode 100644 index 0000000..7de6d6a --- /dev/null +++ b/publications/manuscripts.yaml @@ -0,0 +1,90 @@ +--- +references: +- id: aristoteApplicationsCategoricalFramework2022 + abstract: >- + M2 internship report. We extend Petrişan and Colcombet's categorical + framework for automata minimization and learning with new categorical + algorithms and apply it to various families of automata for which + minimization and learning had not been studied previously. We focus on + transducers whose output lie in arbitrary monoids, weighted automata on + Dedekind domains and automata whose states are quasi-ordered. This last + example links automata learning together with the Valk-Jantzen lemma, widely + used in the theory of well-structured transition systems. + author: + - family: Aristote + given: Quentin + citation-key: aristoteApplicationsCategoricalFramework2022 + issued: + - year: 2022 + month: 8 + day: 20 + language: en + license: All rights reserved + publisher: École Normale Supérieure, PSL University + title: >- + Applications of a categorical framework for minimization and active learning + of transition systems + type: report + URL: >- + https://git.eleves.ens.fr/qaristote/m2-internship-report/uploads/2594114883f26d77c2b4f3731656351a/report.pdf + +- id: aristoteFibrationalFrameworkNested2020 + abstract: >- + M1 internship report. We extend a previous fibration- and coalgebra-based + categorical framework for characterizing greatest fixed-points, e.g. + bisimilarity-like notions, as winning positions in safety games. Our new + framework thus characterizes nested alternating greatest and smallest + fixed-points of a fibration- and coalgebra-based categorical operator as + winning positions in parity games. This provides a new kind of parity games + for the model checking of coalgebraic modal logic, but unfortunately we did + not manage to instantiate more general notions of bisimulations such as fair + and delayed bisimulations. + author: + - family: Aristote + given: Quentin + citation-key: aristoteFibrationalFrameworkNested2020 + issued: + - year: 2020 + month: 8 + day: 28 + language: en + license: All rights reserved + title: >- + Fibrational Framework for Nested Alternating Fixed Points and (Bi)Simulation + Notions for Büchi Automata + type: report + URL: >- + https://git.eleves.ens.fr/qaristote/m1-internship-report/uploads/3431548a277eb5fc297d8e7d93d1e3ce/aristote_quentin_m1_internship_report.pdf + +- id: aristoteMarcheQuantiqueReseau2019 + abstract: >- + Rapport de stage de L3. On introduit un automate cellulaire quantique à une + particule, un marcheur quantique, sur une variété triangulée de dimension 2. + La triangulation change à travers des Pachner moves, induits eux-même par la + densité du marcheur, permettant à la surface de se transformer en n'importe + quelle autre surface qui lui est topologiquement équivalente. Ce modèle + généralise le marcheur quantique sur un réseau triangulaire, introduit dans + un article précédent par un des auteurs, et dont la limite en espace-temps + retombe sur l'équation de Dirac en 2+1 dimensions. + + Des simulations numériques montrent que le nombre de triangles et que la + courbure évoluent en exp(a log(t) - bt²), où a et b paramétrisent la façon + dont la géométrie change selon la densité locale du marcheur, et que, sur le + long terme, la surface redevient plate. Enfin, on montre aussi numériquement + que le comportement global du marcheur reste le même sous l'influence de + fluctuations spatio-temporelles aléatoires. + author: + - family: Aristote + given: Quentin + citation-key: aristoteMarcheQuantiqueReseau2019 + issued: + - year: 2019 + month: 8 + day: 25 + language: en + license: All rights reserved + title: Marche quantique sur un réseau triangulaire sujet à des Pachner moves + type: report + URL: >- + https://git.eleves.ens.fr/qaristote/rapport-stage-l3/-/raw/b9f9cc78ad3eabe6508be70cc27dc9bf89d34755/rapport.pdf +... |
