Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Kilian Raschel"'
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings, 28th... (2020)
Extended abstract presented at the conference FPSAC 2016, Vancouver.
Externí odkaz:
https://doaj.org/article/7f889e3180014d6caaf34bfc655d72e5
Autor:
Guy Fayolle, Kilian Raschel
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AQ,..., Iss Proceedings (2012)
Enumeration of planar lattice walks is a classical topic in combinatorics, at the cross-roads of several domains (e.g., probability, statistical physics, computer science). The aim of this paper is to propose a new approach to obtain some exact asymp
Externí odkaz:
https://doaj.org/article/564582be5cad4ce0bd2c23e520151c18
Autor:
Sandro Franceschi, Kilian Raschel
Publikováno v:
Queueing Systems. 102:123-141
We introduce a transient reflected Brownian motion in a multidimensional orthant, which is either absorbed at the apex of the cone or escapes to infinity. We address the question of computing the absorption probability, as a function of the starting
Publikováno v:
Indagationes Mathematicae.
Publikováno v:
Journal of Number Theory
Journal of Number Theory, 2019, 204, pp.113--133. ⟨10.1016/j.jnt.2019.03.017⟩
Journal of Number Theory, Elsevier, 2019, 204, pp.113--133. ⟨10.1016/j.jnt.2019.03.017⟩
Journal of Number Theory, 2019, 204, pp.113--133. ⟨10.1016/j.jnt.2019.03.017⟩
Journal of Number Theory, Elsevier, 2019, 204, pp.113--133. ⟨10.1016/j.jnt.2019.03.017⟩
Let $L_n(k)$ denote the least common multiple of $k$ independent random integers uniformly chosen in $\{1,2,\ldots ,n\}$. In this note, using a purely probabilistic approach, we derive a criterion for the convergence in distribution as $n\to\infty$ o
Publikováno v:
Seminaire Lotharingien de Combinatoire
Seminaire Lotharingien de Combinatoire, 2020, 81, pp.Article B81l
HAL
Seminaire Lotharingien de Combinatoire, Université Louis Pasteur, In press
Seminaire Lotharingien de Combinatoire, Université Louis Pasteur, 2020, 81, pp.Article B81l
Seminaire Lotharingien de Combinatoire, 2020, 81, pp.Article B81l
HAL
Seminaire Lotharingien de Combinatoire, Université Louis Pasteur, In press
Seminaire Lotharingien de Combinatoire, Université Louis Pasteur, 2020, 81, pp.Article B81l
Bipolar orientations of planar maps have recently attracted some interest in combinatorics, probability theory and theoretical physics. Plane bipolar orientations with $n$ edges are known to be counted by the $n$th Baxter number $b(n)$, which can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::daaeda70b2b65418134f5b1c1472f126
https://hal.science/hal-02127624v2/document
https://hal.science/hal-02127624v2/document
Publikováno v:
Potential Analysis
Potential Analysis, 2022, 57, pp.201-226. ⟨10.1007/s11118-021-09912-5⟩
Potential Analysis, Springer Verlag, In press
Potential Analysis, 2022, 57, pp.201-226. ⟨10.1007/s11118-021-09912-5⟩
Potential Analysis, Springer Verlag, In press
We consider killed planar random walks on isoradial graphs. Contrary to the lattice case, isoradial graphs are not translation invariant, do not admit any group structure and are spatially non-homogeneous. Despite these crucial differences, we comput
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6234768bd4fd2bffa3bf6818d6c4bb25
https://hal.archives-ouvertes.fr/hal-02422417
https://hal.archives-ouvertes.fr/hal-02422417
Autor:
Alin Bostan, Kilian Raschel
This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathe
Autor:
Sandro Franceschi, Kilian Raschel
Publikováno v:
ESAIM: Probability and Statistics
ESAIM: Probability and Statistics, EDP Sciences, 2017, ESAIM: PS Volume 21, 2017, 21, pp.220-234. ⟨10.1051/ps/2017006⟩
ESAIM: Probability and Statistics, 2017, ESAIM: PS Volume 21, 2017, 21, pp.220-234. ⟨10.1051/ps/2017006⟩
ESAIM: Probability and Statistics, EDP Sciences, 2017, ESAIM: PS Volume 21, 2017, 21, pp.220-234. ⟨10.1051/ps/2017006⟩
ESAIM: Probability and Statistics, 2017, ESAIM: PS Volume 21, 2017, 21, pp.220-234. ⟨10.1051/ps/2017006⟩
We consider a Brownian motion with drift in the quarter plane with orthogonal reflection on the axes. The Laplace transform of its stationary distribution satisfies a functional equation, which is reminiscent from equations arising in the enumeration
Autor:
Kilian Raschel, Sandro Franceschi
Publikováno v:
Bernoulli
Bernoulli, Bernoulli Society for Mathematical Statistics and Probability, 2019, 25 (4B), pp.3673-3713. ⟨10.3150/19-BEJ1107⟩
Bernoulli 25, no. 4B (2019), 3673-3713
Bernoulli, Bernoulli Society for Mathematical Statistics and Probability, 2019, 25 (4B), pp.3673-3713. ⟨10.3150/19-BEJ1107⟩
Bernoulli 25, no. 4B (2019), 3673-3713
International audience; For Brownian motion in a (two-dimensional) wedge with negative drift and oblique reflection on the axes, we derive an explicit formula for the Laplace transform of its stationary distribution (when it exists), in terms of Cauc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7a18262ed7c14031d44815d0fa64831
https://hal.archives-ouvertes.fr/hal-01495788v3/document
https://hal.archives-ouvertes.fr/hal-01495788v3/document