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Elliptic Combinatorics: Solving famous models from combinatorics, probability and statistical mechanics, via a transversal approach of special functions

Deliverables

Version 3 of the Data Management Plan

Review of the second version of the Data Management Plan as the project will be ending and the data management strategy might have been refined This update deals especially with the data which will be generated after the project completion

Data Management Plan

The Data Management Plan describes the life cycle of the data which will be generated by the project during and after the project completion It will contain information on the types of data that will be generated data and metadata standards policies for data access and sharing data storages and preservation of access

Version 2 of the Data Management Plan

Review of the first version of the Data Management Plan as the project will be developping and the data management strategy might have been refined

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Publications

Boundary behaviour of $$\lambda $$-polyharmonic functions on regular trees

Author(s): Ecaterina Sava-Huss, Wolfgang Woess
Published in: Annali di Matematica Pura ed Applicata (1923 -), 2020, ISSN 0373-3114
Publisher: Nicola Zanichelli
DOI: 10.1007/s10231-020-00981-8

Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks

Author(s): Dreyfus, Thomas; Raschel, Kilian
Published in: Publications Mathématiques de Besançon : Algèbre et Théorie des Nombres, 1, 2019, Page(s) 41-80, ISSN 1958-7236
Publisher: Presses universitaires de Franche-Comté
DOI: 10.5802/pmb.29

Boundary behavior of random walks in cones

Author(s): Raschel, Kilian; Tarrago, Pierre
Published in: Markov Processes and Related Fields, 26/4, 2020, Page(s) 711-756, ISSN 1024-2953
Publisher: Polymat

Plane bipolar orientations and quadrant walks

Author(s): Bousquet-Mélou, Mireille; Fusy, Éric; Raschel, Kilian
Published in: Séminaire Lotharingien de Combinatoire, 81, 2020, ISSN 1286-4889
Publisher: Univ. Louis Pasteur Univ. Wien, Fak. Math.

3D positive lattice walks and spherical triangles

Author(s): B. Bogosel, V. Perrollaz, K. Raschel, A. Trotignon
Published in: Journal of Combinatorial Theory, Series A, 172, 2020, Page(s) 105189, ISSN 0097-3165
Publisher: Academic Press
DOI: 10.1016/j.jcta.2019.105189

The asymptotics of reflectable weighted walks in arbitrary dimension

Author(s): Marni Mishna, Samuel Simon
Published in: Advances in Applied Mathematics, 118, 2020, Page(s) 102043, ISSN 0196-8858
Publisher: Academic Press
DOI: 10.1016/j.aam.2020.102043

On the least common multiple of several random integers

Author(s): Alin Bostan, Alexander Marynych, Kilian Raschel
Published in: Journal of Number Theory, 204, 2019, Page(s) 113-133, ISSN 0022-314X
Publisher: Academic Press
DOI: 10.1016/j.jnt.2019.03.017

The extinction problem for a distylous plant population with sporophytic self-incompatibility

Author(s): Gerold Alsmeyer, Kilian Raschel
Published in: Journal of Mathematical Biology, 78/6, 2019, Page(s) 1841-1874, ISSN 0303-6812
Publisher: Springer Verlag
DOI: 10.1007/s00285-019-01328-5

The Z-invariant Ising model via dimers

Author(s): Cédric Boutillier, Béatrice de Tilière, Kilian Raschel
Published in: Probability Theory and Related Fields, 174/1-2, 2019, Page(s) 235-305, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-018-0861-x

On Walks Avoiding a Quadrant

Author(s): Kilian Raschel, Amélie Trotignon
Published in: The Electronic Journal of Combinatorics, 26/3, 2019, Page(s) 1-34, ISSN 1077-8926
Publisher: Electronic Journal of Combinatorics
DOI: 10.37236/8019

Compacted binary trees admit a stretched exponential

Author(s): Andrew Elvey Price, Wenjie Fang, Michael Wallner
Published in: Journal of Combinatorial Theory, Series A, 177, 2021, Page(s) 105306, ISSN 0097-3165
Publisher: Academic Press
DOI: 10.1016/j.jcta.2020.105306

The six-vertex model on random planar maps revisited

Author(s): Andrew Elvey Price, Paul Zinn-Justin
Published in: Preprint, 2020
Publisher: arXiv preprint server

Bijections between walks inside a triangular domain and Motzkin paths of bounded amplitude

Author(s): Julien Courtiel, Andrew Elvey Price, Irène Marcovici
Published in: Preprint, 2020
Publisher: arXiv preprint server

Phylogenetic trees, augmented perfect matchings and a Thron-type continued fraction (T-fraction) for the Ward polynomials

Author(s): Andrew Elvey Price, Alan D. Sokal
Published in: Prepriny, 2020
Publisher: arXiv preprint server

Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant

Author(s): Peigné, Marc; Woess, Wolfgang
Published in: Preprint, 2019
Publisher: arXiv preprint server

Stieltjes moment sequences for pattern-avoiding permutations

Author(s): Elvey-Price, Andrew; Bostan, Alin; Guttmann, Anthony,; Maillard, Jean-Marie
Published in: arXiv, 2020
Publisher: arXiv preprint server

Martin boundary of random walks in convex cones

Author(s): Duraj, Jetlir; Raschel, Kilian; Tarrago, Pierre; Wachtel, Vitali
Published in: Preprint, 2020
Publisher: arXiv preprint server

Green's functions with oblique Neumann boundary conditions in a wedge

Author(s): Franceschi, Sandro
Published in: Preprint, 2019
Publisher: arXiv preprint server

Permutations sortable by deques and two stacks in parallel share the same growth rate

Author(s): Price, Andrew Elvey
Published in: Preprint, 2019
Publisher: arXiv preprint server

On the nature of four models of symmetric walks avoiding a quadrant

Author(s): Dreyfus, Thomas; Trotignon, Amélie
Published in: Preprint, 2020
Publisher: arXiv preprint server

Martin boundary of killed random walks on isoradial graphs

Author(s): Boutillier, Cédric; Raschel, Kilian; Bostan, Alin
Published in: Preprint, 2019
Publisher: arXiv preprint server

Asymptotics of Minimal Deterministic FiniteAutomata Recognizing a Finite Binary Language

Author(s): Andrew Elvey Price, Wenjie Fang, Michael Wallner
Published in: Proceedings of the 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis ofAlgorithms (AofA 2020), Leibniz International Proceedings in Informatics (LIPIcs), 2020, Page(s) 1:1–11:13, ISBN 978-3-95977-147-4
Publisher: Schloss Dagstuhl-Leibniz-Zentrum für Informatik
DOI: 10.4230/lipics.aofa.2020.11

Polyharmonic functions and random processes in cones

Author(s): Chapon, Francois; Fusy, Eric; Raschel, Kilian
Published in: Proceedings of the 31st International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis ofAlgorithms (AofA 2020), Leibniz International Proceedings in Informatics (LIPIcs), 2020, Page(s) 9:1-9:19, ISBN 978-3-95977-147-4
Publisher: Schloss Dagstuhl-Leibniz-Zentrum für Informatik
DOI: 10.4230/lipics.aofa.2020.9

Counting lattice walks by winding angle

Author(s): Price, Andrew Elvey
Published in: Séminaire Lotharingien de Combinatoire, 84B, Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics, 2020, Page(s) "Article #43, 12 pp.", ISSN 1286-4889
Publisher: Univ. Louis Pasteur Univ. Wien, Fak. Math.

Eulerian orientations and the six-vertex model on planar maps

Author(s): Mireille Bousquet-Mélou, Andrew Elvey Price, Paul Zinn-Justin
Published in: Séminaire Lotharingien de Combinatoire, 82B, Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics, 2020, Page(s) "Article #70, 12 pp.", ISSN 1286-4889
Publisher: Univ. Louis Pasteur Univ. Wien, Fak. Math.