International Doctoral Training in Mathematical Sciences in Paris

Project Information

MathInParis

Grant agreement ID: 754362

DOI

10.3030/754362

Project closed

EC signature date 12 May 2017

Start date 1 September 2017

End date 31 January 2023

Funded under

• EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions

Total cost

€ 6 278 400,00

EU contribution

€ 3 139 200,00

Coordinated by

FONDATION SCIENCES MATHEMATIQUES DE PARIS
France

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (41)

Strong solutions of semilinear SPDEs with unbounded diffusion

Author(s): Florian Bechtold
Published in: Stochastics and Partial Differential Equations: Analysis and Computations, Issue 11, 2023, Page(s) 1-30, ISSN 2194-041X
Publisher: Springer
DOI: 10.1007/s40072-021-00216-8

An asymptotic preserving scheme for a tumor growth model of porous medium type

Author(s): Ruan, Xinran; David, Noemi
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 56 (1), 2022, Page(s) 121-150, ISSN 2822-7840
Publisher: EDP Sciences
DOI: 10.1051/m2an/2021080

A Law of Large Numbers for interacting diffusions via a mild formulation

Author(s): Florian Bechtold, Fabio Coppini
Published in: Electronic Journal of Probability, Issue 26, 2021, Page(s) 1-27, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp671

Friction mediated by transient elastic linkages: extension to loads of bounded variation

Author(s): Samar Allouch, Vuk Milišić
Published in: Journal of Integral Equations and Applications, Issue 34(3), 2022, Page(s) 267-294, ISSN 0897-3962
Publisher: Rocky Mountain Mathematics Consortium
DOI: 10.1216/jie.2022.34.267

Normal Form Near Orbit Segments of Convex Hamiltonian Systems

Author(s): Shahriar Aslani, Patrick Bernard
Published in: International Mathematics Research Notices, 2021, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa344

Free boundary limit of tumor growth model with nutrient

Author(s): Noemi David; Benoît Perthame
Published in: Journal de Mathématiques Pures et Appliquées, Issue 155, 2021, Page(s) 62-82, ISSN 0021-7824
Publisher: Elsevier BV
DOI: 10.1016/j.matpur.2021.01.007

Circular chromatic number of signed graphs

Author(s): Reza Naserasr; Zhouningxin Wang; Xuding Zhu
Published in: The Electronic Journal of Combinatorics, Issue 28, 2, 2021, ISSN 1077-8926
Publisher: Electronic Journal of Combinatorics
DOI: 10.37236/9938

Velocity Averaging and Hölder Regularity for Kinetic Fokker--Planck Equations with General Transport Operators and Rough Coefficients

Author(s): Yuzhe Zhu
Published in: SIAM Journal on Mathematical Analysis, Issue 53(3), 2021, Page(s) 2746–2775, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1372147

A mixed finite element discretization of dynamical optimal transport

Author(s): Andrea Natale; Gabriele Todeschi
Published in: Journal of Scientific Computing, Issue 4, 2022, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-022-01821-y

A variational finite volume scheme for Wasserstein gradient flows

Author(s): Clément Cancès, Thomas Gallouët, Gabriele Todeschi
Published in: Numerische Mathematik, Issue 146 (3), 2020, Page(s) 437 - 480, ISSN 0029-599X
Publisher: Springer Verlag
DOI: 10.1007/s00211-020-01153-9

LGN-CNN: a biologically inspired CNN architecture

Author(s): Federico Bertoni, Giovanna Citti, Alessandro Sarti
Published in: Neural Networks, Issue 145, 2022, Page(s) 42-55, ISSN 0893-6080
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.neunet.2021.09.024

Emergence of Lie Symmetries in Functional Architectures Learned by CNNs.

Author(s): Federico Bertoni, Noemi Montobbio, Alessandro Sarti, Giovanna Citti
Published in: Frontiers in Computational Neuroscience, Issue 15, 2021, ISSN 1662-5188
Publisher: Frontiers Research Foundation
DOI: 10.3389/fncom.2021.694505

Sensitivity lower bounds from linear dependencies

Author(s): Laplante, Sophie; Naserasr, Reza; Sunny, Anupa
Published in: Electronic Colloquium on Computational Complexity (ECCC), 2020, ISSN 1433-8092
Publisher: Computational Complexity Foundation (CCF)
DOI: 10.4230/lipics.mfcs.2020.62

Density of C −4 -critical signed graphs

Author(s): Naserasr, Reza; Pham, Lan,; Wang, Zhouningxin
Published in: Journal of Combinatorial Theory, Series B, Issue 153, 2022, Page(s) 81-104, ISSN 0095-8956
Publisher: Academic Press
DOI: 10.1016/j.jctb.2021.11.002

Time averages for kinetic Fokker-Planck equations

Author(s): Giovanni Brigati
Published in: Kinetic and Related Models, Issue 16(4), 2023, Page(s) 524-539, ISSN 1937-5093
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/krm.2022037

Dynamics of Neural Networks with Elapsed Time Model and Learning Processes

Author(s): Nicolas Torres; Delphine Salort
Published in: Acta Applicandae Mathematicae, Issue 31, 2020, Page(s) 1065–1099, ISSN 1572-9036
Publisher: Springer
DOI: 10.1007/s10440-020-00367-1

Non-minimizing connecting orbits for multi-well systems

Author(s): Ramon Oliver-Bonafoux
Published in: Calculus of Variations and Partial Differential Equations, Issue 61 (2), 2022, Page(s) 69, ISSN 0944-2669
Publisher: Springer Verlag
DOI: 10.1007/s00526-021-02167-3

A multiple time renewal equation for neural assemblies with elapsed time model

Author(s): Nicolás Torres; Benoît Perthame; Delphine Salort
Published in: Nonlinearity, Issue 35, 10, 2022, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ac8714

Convergence rate for the incompressible limit of nonlinear diffusion-advection equations

Author(s): David, Noemi; Dębiec, Tomasz; Perthame, Benoît
Published in: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Issue 12, 2022, ISSN 0294-1449
Publisher: Elsevier BV
DOI: 10.4171/aihpc/53

Computation of Optimal Transport with Finite Volumes

Author(s): Andrea Natale; Gabriele Todeschi
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 55 (5), 2021, Page(s) 1847-1871, ISSN 2822-7840
Publisher: EDP Sciences
DOI: 10.1051/m2an/2021041

Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh–Nagumo equations

Author(s): Katharina Eichinger, Manuel V. Gnann, Christian Kuehn
Published in: Annals of Applied Probability, Issue 32 (5), 2022, Page(s) 3229-3282, ISSN 1050-5164
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-aap1759

An elapsed time model for strongly coupled inhibitory and excitatory neural networks

Author(s): Nicolas Torres; María J. Cáceres; Benoît Perthame; Delphine Salort
Published in: Physica D: Nonlinear Phenomena, Issue 425, 2021, ISSN 0167-2789
Publisher: Elsevier BV
DOI: 10.1016/j.physd.2021.132977

Anomalous fluctuations of renewal-reward processes with heavy-tailed distributions.

Author(s): Hiroshi Horii, Raphaël Lefevere, Masato Itami, Takahiro Nemoto
Published in: Physical Review E, Issue 106,3, 2022, Page(s) 034130, ISSN 2470-0045
Publisher: American Physical Society
DOI: 10.1103/physreve.106.034130

Coherent presentations of monoids with a right-noetherian Garside family

Author(s): Curien, Pierre-Louis; Ðurić, Alen; Guiraud, Yves
Published in: Journal of Homotopy and Related Structures, Issue 18, 2023, Page(s) 115-152, ISSN 2193-8407
Publisher: Springer Science + Business Media
DOI: 10.1007/s40062-023-00323-4

Optimal Control Strategies for Bistable ODE Equations: Application to Mosquito Population Replacement

Author(s): Luis Almeida; Jesús Bellver Arnau; Yannick Privat
Published in: Applied Mathematics and Optimization, Issue 87,1, 2022, ISSN 0095-4616
Publisher: Springer Verlag
DOI: 10.1007/s00245-022-09923-7

PTOPO: Computing the geometry and the topology of parametric curves

Author(s): Katsamaki, Christina; Rouillier, Fabrice; Tsigaridas, Elias; Zafeirakopoulos, Zafeirakis
Published in: Journal of Symbolic Computation, Issue 115, 2023, Page(s) 427-451, ISSN 0747-7171
Publisher: Academic Press
DOI: 10.1016/j.jsc.2022.08.012

PTOPO: a maple package for the topology of parametric curves

Author(s): Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas, Zafeirakis Zafeirakopoulos
Published in: ACM Communications in Computer Algebra, Issue 54 (2), 2020, Page(s) 49-52, ISSN 1932-2240
Publisher: Association for Computing Machinery
DOI: 10.1145/3427218.3427223

The diagonal of the operahedra

Author(s): Guillaume Laplante-Anfossi
Published in: Advances in Mathematics, Issue 405, 2022, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2022.108494

Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT

Author(s): Guillaume Carlier; Katharina Eichinger; Alexey Kroshnin
Published in: SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, Issue 53 5, 2021, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1387262

Long time behavior of an age and leaky memory-structured neuronal population equation

Author(s): Claudia Fonte; Valentin Schmutz
Published in: SIAM Journal on Mathematical Analysis, Issue 54 (4), 2022, Page(s) 34, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/21m1428571

Consistent model selection criteria and goodness-of-fit test for common time series models

Author(s): Jean-Marc Bardet, Kare Kamila, William Kengne
Published in: Electronic Journal of Statistics, Issue 14/1, 2020, Page(s) 2009-2052, ISSN 1935-7524
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-ejs1709

Anomalous spreading in reducible multitype branching Brownian motion

Author(s): Mohamed Ali Belloum; Bastien Mallein
Published in: Electronic Journal of Probability, Issue 26, 2021, Page(s) 1-39, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ejp629

Real moduli spaces and density of non-simple real abelian varieties

Author(s): Fortman, Olivier de Gaay
Published in: Quarterly Journal of Mathematics, Issue 73 (3), 2022, Page(s) 969-989, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmath/haab060

General Hannan and Quinn criterion for common time series

Author(s): Kamila, Kare
Published in: Statistics, Issue 56:1, 2022, Page(s) 222-241,, ISSN 0233-1888
Publisher: Taylor & Francis
DOI: 10.1080/02331888.2022.2041017

Large Time Asymptotic of Heavy Tailed Renewal Processes

Author(s): Horii, Hiroshi; Lefevere, Raphael; Nemoto, Takahiro
Published in: Journal of Statistical Physics, Issue 186, 11, 2022, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-021-02856-5

The diagonal of the multiplihedra and the tensor product of A inifinty-morphisms

Author(s): Guillaume Laplante-Anfossi, Thibaut Mazuir
Published in: Journal de l’École polytechnique — Mathématiques, Issue 10, 2023, Page(s) 405-446, ISSN 2429-7100
Publisher: Les Éditions de l'École Polytechnique
DOI: 10.5802/jep.221

Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits

Author(s): Alvarez, Frank Ernesto; Carrillo, José Antonio & Clairambault Jean
Published in: Journal of Mathematical Biology, Issue 85, 2022, Page(s) 64 (2022), ISSN 0303-6812
Publisher: Springer Verlag
DOI: 10.1007/s00285-022-01820-5

The normal contraction property for non-bilinear Dirichlet forms

Author(s): Giovanni Brigati; Ivailo Hartarsky
Published in: Potential Analysis, 2022, ISSN 0926-2601
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11118-022-10057-2

Besov Reconstruction

Author(s): Lucas Broux; David Lee
Published in: Potential Analysis, 2022, ISSN 0926-2601
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11118-022-10028-7

Equidistribution of horospheres in non-positive curvature

Author(s): Sergi Burniol Clotet
Published in: Ergodic Theory and Dynamical Systems, Issue 43, 2, 2023, Page(s) 460 - 479, ISSN 0143-3857
Publisher: Cambridge University Press
DOI: 10.1017/etds.2021.124

Filter-dependent versions of the uniform boundedness principle

Author(s): Ben De Bondt, Hans Vernaeve
Published in: Journal of Mathematical Analysis and Applications, Issue 495,1, 2021, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2020.124705

Conference proceedings (4)

Classical and Quantum Algorithms for Generic Syndrome Decoding Problems and Applications to the Lee Metric

Author(s): André Chailloux, Thomas Debris-Alazard, Simona Etinski
Published in: PQCrypto 2021 - Post-Quantum Cryptography 12th International Workshop, Issue Jul 2021, Daejeon, South Korea, 2021, Page(s) 42-62, ISBN 978-3-030-81292-8
Publisher: Springer, Cham
DOI: 10.1007/978-3-030-81293-5_3

Voronoi diagram of orthogonal polyhedra in two and three dimensions

Author(s): Ioannis Z. Emiris, Christina Katsamaki
Published in: In: Kotsireas, I., Pardalos, P., Parsopoulos, K., Souravlias, D., Tsokas, A. (eds) Analysis of Experimental Algorithms. SEA 2019., Issue Lecture Notes in Computer Science book series (LNTCS,volume 11544), 2019, ISBN 978-3-030-34028-5
Publisher: Springer, Cham
DOI: 10.1007/978-3-030-34029-2_1

On the geometry and the topology of parametric curves

Author(s): Christina Katsamaki, Fabrice Rouillier, Elias Tsigaridas, Zafeirakis Zafeirakopoulos
Published in: Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020, Page(s) 281-288, ISBN 9781450371001
Publisher: ACM
DOI: 10.1145/3373207.3404062

On the Error of Random Sampling: Uniformly Distributed Random Points on Parametric Curves

Author(s): Apostolos Chalkis, Christina Katsamaki, Josué Tonelli-Cueto
Published in: ISSAC '22 - International Symposium on Symbolic and Algebraic Computation,, Issue Jul 2022, Villeneuve-d'Ascq, France, 2022, Page(s) 273–282, ISBN 9781450386883
Publisher: Association for Computing Machinery
DOI: 10.1145/3476446.3536190

Book chapters (3)

Minimal cost-time strategies for mosquito population replacement

Author(s): Almeida, Luis; Bellver, Jesús; Duprez, Michel; Privat, Yannick
Published in: Optimization and Control for Partial Differential Equations, Issue 29, 2022, ISBN 9783110695960
Publisher: De Gruyter
DOI: 10.1515/9783110695984

TPFA Finite Volume Approximation of Wasserstein Gradient Flows

Author(s): Andrea Natale; Gabriele Todeschi
Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples., Issue Springer Proceedings in Mathematics & Statistics, vol 323, 2020, Page(s) 193-201, ISBN 978-3-030-43650-6
Publisher: Springer, Cham
DOI: 10.1007/978-3-030-43651-3_16

Infinets: The Parallel Syntax for Non-wellfounded Proof-Theory

Author(s): Abhishek De, Alexis Saurin
Published in: Automated Reasoning with Analytic Tableaux and Related Methods - 28th International Conference, TABLEAUX 2019, London, UK, September 3-5, 2019, Proceedings, Issue 11714, 2019, Page(s) 297-316, ISBN 978-3-030-29025-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-29026-9_17