We investigate the moments of 3-step and 4-step uniform random walk in the plane. In particular, we further analyse a formula conjectured in BNSW expressing 4-step moments in terms of 3-step moments. Diverse related results including hypergeometric and elliptic closed forms for W<sub>4</sub>(± 1) are given and two new conjectures are recorded
International audienceA constrained diffusive random walk of n steps in ℝ d and a random flight in ℝ...
This paper studies a random walk based on random transvections in SL n ( F q ) and shows that, given...
Best possible bounds on the third moment of a random variable are given in terms of the first, secon...
We study the moments of the distance traveled by a walk in the plane with unit steps in random direc...
We study the moments of the distance traveled by a walk in the plane with unit steps in random direc...
We study the densities of uniform random walks in the plane. A special focus is on the case of short...
with an appendix by: DON ZAGIER Abstract. We study the densities of uniform random walks in the plan...
Research Doctorate - Doctor of Philosophy (PhD)In the first quarter of this dissertation, we investi...
We study the expected distance of a two-dimensional walk in the plane with unit steps in random dire...
This paper considers the representation of odd moments of the distribution of a four-step uniform ra...
In this paper we describe numerical investigations of definite integrals that arise by considering t...
We study the expected distance of a two-dimensional walk in the plane with unit steps in random dire...
Abstract. We study the expected distance of a two-dimensional walk in the plane with unit steps in r...
We study arithmetic properties of short uniform random walks in arbitrary dimensions, with a focus o...
In this paper, we cover some essential problems of (simple) random walks in one, two and three dimen...
International audienceA constrained diffusive random walk of n steps in ℝ d and a random flight in ℝ...
This paper studies a random walk based on random transvections in SL n ( F q ) and shows that, given...
Best possible bounds on the third moment of a random variable are given in terms of the first, secon...
We study the moments of the distance traveled by a walk in the plane with unit steps in random direc...
We study the moments of the distance traveled by a walk in the plane with unit steps in random direc...
We study the densities of uniform random walks in the plane. A special focus is on the case of short...
with an appendix by: DON ZAGIER Abstract. We study the densities of uniform random walks in the plan...
Research Doctorate - Doctor of Philosophy (PhD)In the first quarter of this dissertation, we investi...
We study the expected distance of a two-dimensional walk in the plane with unit steps in random dire...
This paper considers the representation of odd moments of the distribution of a four-step uniform ra...
In this paper we describe numerical investigations of definite integrals that arise by considering t...
We study the expected distance of a two-dimensional walk in the plane with unit steps in random dire...
Abstract. We study the expected distance of a two-dimensional walk in the plane with unit steps in r...
We study arithmetic properties of short uniform random walks in arbitrary dimensions, with a focus o...
In this paper, we cover some essential problems of (simple) random walks in one, two and three dimen...
International audienceA constrained diffusive random walk of n steps in ℝ d and a random flight in ℝ...
This paper studies a random walk based on random transvections in SL n ( F q ) and shows that, given...
Best possible bounds on the third moment of a random variable are given in terms of the first, secon...
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