Kilian Raschel

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Person:392803

Available identifiers

zbMath Open raschel.kilianMaRDI QIDQ392803

List of research outcomes

PublicationDate of PublicationType
Reflected random walks and unstable Martin boundary2024-04-12Paper
https://portal.mardi4nfdi.de/entity/Q61463192024-02-05Paper
Logarithmic terms in discrete heat kernel expansions in the quadrant2023-09-26Paper
Multivariate multiplicative functions of uniform random vectors in large integer domains2023-08-29Paper
Stationary Brownian motion in a \(3 / 4\)-plane: reduction to a Riemann-Hilbert problem via Fourier transforms2023-08-28Paper
Harmonic functions for singular quadrant walks2023-08-28Paper
Persistence for a class of order-one autoregressive processes and Mallows-Riordan polynomials2023-07-12Paper
Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator2023-06-07Paper
https://portal.mardi4nfdi.de/entity/Q60419472023-05-15Paper
https://portal.mardi4nfdi.de/entity/Q58744072023-02-07Paper
Counting quadrant walks via Tutte's invariant method2022-11-16Paper
A dual skew symmetry for transient reflected Brownian motion in an orthant2022-11-09Paper
Marches al\'eatoires dans un c\^one et fonctions discr\`etes harmoniques2022-11-05Paper
Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions2022-07-18Paper
Martin boundary of killed random walks on isoradial graphs2022-06-24Paper
Constructing discrete harmonic functions in wedges2022-06-16Paper
Martin boundary of random walks in convex cones2022-05-10Paper
Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent2021-12-07Paper
The generating function of the survival probabilities in a cone is not rational2021-11-09Paper
On the stationary distribution of reflected Brownian motion in a non-convex wedge2021-02-23Paper
On the stationary distribution of reflected Brownian motion in a wedge: differential properties2021-01-05Paper
Differential transcendence of Bell numbers and relatives: a Galois theoretic approach2020-12-30Paper
Boundary behavior for random walks in cones2020-11-12Paper
Differential transcendence & algebraicity criteria for the series counting weighted quadrant walks2020-11-10Paper
Counting quadrant walks via Tutte's invariant method (extended abstract)2020-05-26Paper
3D positive lattice walks and spherical triangles2020-02-21Paper
Polyharmonic functions and random processes in cones2020-01-20Paper
Integral expression for the stationary distribution of reflected Brownian motion in a wedge2019-09-25Paper
On walks avoiding a quadrant2019-08-16Paper
On the least common multiple of several random integers2019-07-26Paper
The \(Z\)-invariant Ising model via dimers2019-05-23Paper
Plane bipolar orientations and quadrant walks2019-05-10Paper
The extinction problem for a distylous plant population with sporophytic self-incompatibility2019-05-03Paper
Analytic approach for reflected Brownian motion in the quadrant2019-04-29Paper
Tutte’s invariant approach for Brownian motion reflected in the quadrant2018-08-07Paper
Weighted lattice walks and universality classes2017-09-05Paper
https://portal.mardi4nfdi.de/entity/Q52700152017-06-28Paper
t-Martin Boundary of Killed Random Walks in the Quadrant2017-06-22Paper
The \(Z\)-invariant massive Laplacian on isoradial graphs2017-04-13Paper
A human proof of Gessel’s lattice path conjecture2016-11-16Paper
On the exit time from a cone for random walks with drift2016-07-14Paper
New steps in walks with small steps in the quarter plane: series expressions for the generating functions2015-11-20Paper
Walks in the quarter plane: Analytic approach and applications2015-11-17Paper
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps2015-02-23Paper
Some exact asymptotics in the counting of walks in the quarter-plane2014-09-29Paper
On the exit time from a cone for Brownian motion with drift2014-09-24Paper
Random walks in the quarter plane, discrete harmonic functions and conformal mappings2014-09-04Paper
Non-D-finite excursions in the quarter plane2014-01-15Paper
Some aspects of fluctuations of random walks on R and applications to random walks on R+ with non-elastic reflection at 02013-12-09Paper
Extinction Probabilities for a Distylous Plant Population Modeled by an Inhomogeneous Random Walk on the Positive Quadrant2013-07-24Paper
Passage time from four to two blocks of opinions in the voter model and walks in the quarter plane2013-06-14Paper
Random Walks Reaching Against all Odds the other Side of the Quarter Plane2013-04-25Paper
Green functions for killed random walks in the Weyl chamber of \(\mathrm{Sp}(4)\)2013-03-26Paper
The Compensation Approach for Walks With Small Steps in the Quarter Plane2013-03-14Paper
On the functions counting walks with small steps in the quarter plane2013-01-02Paper
Random walks in the quarter plane with zero drift: an explicit criterion for the finiteness of the associated group2012-09-05Paper
Counting walks in a quadrant: a unified approach via boundary value problems2012-04-20Paper
Random walks in $(\mathbb{Z}_{+})^{2}$ with non-zero drift absorbed at the axes2012-04-14Paper
On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane2011-12-01Paper
Explicit expression for the generating function counting Gessel's walks2011-10-10Paper
Green functions and Martin compactification for killed random walks related to \(SU(3)\)2011-09-09Paper
Random Walks in the Quarter Plane Absorbed at the Boundary : Exact and Asymptotic2009-02-16Paper

Research outcomes over time


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