|
|
On the stationary distribution of reflected Brownian motion in a wedge: differential properties
Mireille Bousquet-Mélou
,
Andrew Elvey Price
,
Sandro Franceschi
,
Charlotte Hardouin
,
Kilian Raschel
Article dans une revue
hal-03098489v2
|
|
|
On the first hitting time of a high-dimensional orthant
Emmanuel Humbert
,
Kilian Raschel
Article dans une revue
hal-05220909v1
|
|
|
Some topics in random walks
Quentin Berger
,
Celine Bonnet
,
Lucile Laulin
,
Kilian Raschel
ESAIM: Proceedings and Surveys, 2025, Journées MAS 2022 - Dynamic and Stochastic Modelling Rouen, France, August 29–31, 2022, 80, pp.51-71. ⟨10.1051/proc/202580051⟩
Article dans une revue
hal-05210861v1
|
|
|
Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent
Luc Hillairet
,
Helen Jenne
,
Kilian Raschel
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2024, 11 (4), pp.683-713. ⟨10.4171/AIHPD/184⟩
Article dans une revue
hal-03470460v1
|
|
|
On the limit law of the superdiffusive elephant random walk
Hélène Guérin
,
Lucile Laulin
,
Kilian Raschel
,
Thomas Simon
Article dans une revue
hal-04700888v1
|
|
|
Logarithmic terms in discrete heat kernel expansions in the quadrant
Andrew Elvey Price
,
Andreas Nessmann
,
Kilian Raschel
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, 2024, ⟨10.4171/AIHPD/199⟩
Article dans une revue
hal-04270378v1
|
|
|
Differential transcendence of Bell numbers and relatives: a Galois theoretic approach
Alin Bostan
,
Lucia Di Vizio
,
Kilian Raschel
Article dans une revue
hal-03091272v3
|
|
|
Multivariate Multiplicative Functions of Uniform Random Vectors in Large Integer Domains
Zakhar Kabluchko
,
Alexander Marynych
,
Kilian Raschel
Article dans une revue
hal-04671556v1
|
|
|
Harmonic functions for singular quadrant walks
Viet Hung Hoang
,
Kilian Raschel
,
Pierre Tarrago
Article dans une revue
hal-03913217v1
|
|
|
The generating function of the survival probabilities in a cone is not rational
Rodolphe Garbit
,
Kilian Raschel
Article dans une revue
hal-03418842v2
|
|
|
Random walks with drift inside a pyramid: convergence rate for the survival probability
Rodolphe Garbit
,
Kilian Raschel
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2023, 20 (2), pp.973. ⟨10.30757/ALEA.v20-35⟩
Article dans une revue
hal-03879363v2
|
|
|
Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials
Gerold Alsmeyer
,
Alin Bostan
,
Kilian Raschel
,
Thomas Simon
Article dans une revue
hal-03469594v1
|
|
|
Stationary brownian motion in a 3/4-plane: Reduction to a riemann-hilbert problem via fourier transforms
Guy Fayolle
,
Sandro Franceschi
,
Kilian Raschel
Article dans une revue
hal-03832431v2
|
|
|
Constructing discrete harmonic functions in wedges
Viet Hung Hoang
,
Kilian Raschel
,
Pierre Tarrago
Transactions of the American Mathematical Society, 2022, 375 (7), pp.4741-4782. ⟨10.1090/tran/8615⟩
Article dans une revue
hal-02987609v2
|
|
|
On the stationary distribution of reflected Brownian motion in a non-convex wedge
Guy Fayolle
,
Sandro Franceschi
,
Kilian Raschel
Article dans une revue
hal-03150317v3
|
|
|
Martin boundary of killed random walks on isoradial graphs
Cédric Boutillier
,
Kilian Raschel
,
Alin Bostan
Article dans une revue
hal-02422417v2
|
|
|
Martin boundary of random walks in convex cones
Jetlir Duraj
,
Kilian Raschel
,
Pierre Tarrago
,
Vitali Wachtel
Article dans une revue
hal-02499786v1
|
|
|
Counting quadrant walks via Tutte's invariant method
Olivier Bernardi
,
Mireille Bousquet-Mélou
,
Kilian Raschel
Article dans une revue
hal-01577762v3
|
|
|
Plane bipolar orientations and quadrant walks
Mireille Bousquet-Mélou
,
Éric Fusy
,
Kilian Raschel
Seminaire Lotharingien de Combinatoire, 2020, 81, pp.Article B81l
Article dans une revue
hal-02127624v2
|
|
|
Boundary behavior of random walks in cones
Kilian Raschel
,
Pierre Tarrago
Markov Processes And Related Fields, 2020, 26 (4), pp.711-756
Article dans une revue
hal-01895793v2
|
|
|
On the least common multiple of several random integers
Alin Bostan
,
Alexander Marynych
,
Kilian Raschel
Article dans une revue
hal-01984389v1
|
|
|
On walks avoiding a quadrant
Kilian Raschel
,
Amélie Trotignon
The Electronic Journal of Combinatorics, 2019, 26 (3)
Article dans une revue
hal-01848287v2
|
|
|
The Z-invariant Ising model via dimers
Cédric Boutillier
,
Béatrice de Tilière
,
Kilian Raschel
Article dans une revue
hal-01423324v2
|
|
|
Integral expression for the stationary distribution of reflected Brownian motion in a wedge
Sandro Franceschi
,
Kilian Raschel
Article dans une revue
hal-01495788v3
|
|
|
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks
Thomas Dreyfus
,
Kilian Raschel
Publications Mathématiques de Besançon. Algèbre et Théorie des Nombres, 2019, p. 41-80. ⟨10.5802/pmb.29⟩
Article dans une revue
hal-01591022v2
|
|
|
The extinction problem for a class of distylous plant populations with sporophytic self-incompatibility
Gerold Alsmeyer
,
Kilian Raschel
Article dans une revue
hal-01895778v2
|
|
|
The $Z$-invariant massive Laplacian on isoradial graphs
Cédric Boutillier
,
Béatrice de Tilière
,
Kilian Raschel
Article dans une revue
hal-01140329v1
|
|
|
Weighted Lattice Walks and Universality Classes
J Courtiel
,
Stephen Melczer
,
Marni Mishna
,
Kilian Raschel
Article dans une revue
hal-01368786v2
|
|
|
Tutte's invariant approach for Brownian motion reflected in the quadrant
Sandro Franceschi
,
Kilian Raschel
ESAIM: Probability and Statistics, 2017, ESAIM: PS Volume 21, 2017, 21, pp.220-234. ⟨10.1051/ps/2017006⟩
Article dans une revue
hal-01271870v3
|
|
|
A human proof of Gessel's lattice path conjecture
Alin Bostan
,
Irina Kurkova
,
Kilian Raschel
Transactions of the American Mathematical Society, 2017, 369 (2, February 2017), pp.1365-1393
Article dans une revue
hal-00858083v3
|
|
|
On the exit time from a cone for random walks with drift
Rodolphe Garbit
,
Kilian Raschel
Article dans une revue
hal-00838721v5
|
|
|
Compter les excursions sur un échiquier
Alin Bostan
,
Kilian Raschel
Pour la science, 2015, 449, pp.40-46
Article dans une revue
hal-01246339v1
|
|
|
New steps in walks with small steps in the quarter plane
Irina Kourkova
,
Kilian Raschel
Article dans une revue
hal-00840239v2
|
|
|
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps
Guy Fayolle
,
Kilian Raschel
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2014, C. R. Acad. Sci. Paris, Ser I, CRASS1:5432, pp.6. ⟨10.1016/j.crma.2014.11.015⟩
Article dans une revue
hal-01021327v1
|
|
|
Random walks in the quarter plane, discrete harmonic functions and conformal mappings
Kilian Raschel
Article dans une revue
hal-00780452v2
|
|
|
Non-D-finite excursions in the quarter plane
Alin Bostan
,
Kilian Raschel
,
Bruno Salvy
Article dans une revue
hal-00697386v2
|
|
|
On the exit time from a cone for Brownian motion with drift
Rodolphe Garbit
,
Kilian Raschel
Article dans une revue
hal-00880523v2
|
|
|
Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 0
Rim Essifi
,
Marc Peigné
,
Kilian Raschel
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2013, 10 (2), pp.591-607
Article dans une revue
hal-00780453v2
|
|
|
Random walks reaching against all odds the other side of the quarter plane
Johan van Leeuwaarden
,
Kilian Raschel
Article dans une revue
hal-00586295v2
|
|
|
Passage time of a random walk in the quarter plane for opinions in the voter model
Irina Kourkova
,
Kilian Raschel
Article dans une revue
hal-00384187v4
|
|
|
Extinction probabilities for a distylous plant population modeled by an inhomogeneous random walk on the positive quadrant
Pauline Lafitte-Godillon
,
Kilian Raschel
,
Viet Chi Tran
Article dans une revue
hal-00664536v2
|
|
|
The compensation approach for walks with small steps in the quarter plane
Ivo Adan
,
Johan van Leeuwaarden
,
Kilian Raschel
Article dans une revue
hal-00551472v3
|
|
|
Counting walks in a quadrant: a unified approach via boundary value problems
Kilian Raschel
Journal of the European Mathematical Society, 2012, 14, pp.749-777
Article dans une revue
hal-00461853v3
|
|
|
Some exact asymptotics in the counting of walks in the quarter-plane
Guy Fayolle
,
Kilian Raschel
Discrete Mathematics and Theoretical Computer Science, 2012, pp.109-124
Article dans une revue
hal-00765851v1
|
|
|
On the functions counting walks with small steps in the quarter plane
Irina Kurkova
,
Kilian Raschel
Article dans une revue
hal-00628424v2
|
|
|
Explicit expression for the generating function counting Gessel's walks
Irina Kurkova
,
Kilian Raschel
Advances in Applied Mathematics, 2011, 47, pp.414-433
Article dans une revue
hal-00438190v3
|
|
|
Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group
Guy Fayolle
,
Kilian Raschel
Markov Processes And Related Fields, 2011, 17 (4), pp.619-636
Article dans une revue
inria-00572276v1
|
|
|
Green functions for killed random walks in the Weyl chamber of Sp(4)
Kilian Raschel
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2011, 47 (4), pp.1001-1019
Article dans une revue
hal-00425923v2
|
|
|
Random walks in Z_+^2 with non-zero drift absorbed at the axes
Irina Kurkova
,
Kilian Raschel
Bulletin de la société mathématique de France, 2011, 139 (3), pp.287-295
Article dans une revue
hal-00372260v1
|
|
|
On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane
Guy Fayolle
,
Kilian Raschel
Markov Processes And Related Fields, 2010, 16 (3), pp.485-496
Article dans une revue
inria-00469603v1
|
|
|
Green functions and Martin compactification for killed random walks related to SU(3)
Kilian Raschel
Electronic Communications in Probability, 2010, 15 (17), pp.176-190
Article dans une revue
hal-00425651v2
|