Results 1 to 10 of about 1,638,072 (98)
Bounds on the probability of radically different opinions [PDF]
arXiv, 2019 We establish bounds on the probability that two different agents, who share an initial opinion expressed as a probability distribution on an abstract probability space, given two different sources of information, may come to radically different opinions regarding the conditional probability of the same event.
K. Burdzy, J. Pitman
arxiv +3 more sources
Moments of partition functions of 2D Gaussian polymers in the weak disorder regime – II [PDF]
Electronic Journal of Probability, 2023 Let $W_N(\beta) = \mathrm{E}_0\left[e^{ \sum_{n=1}^N \beta \omega(n,S_n) - N\beta^2/2}\right]$ be the partition function of a two-dimensional directed polymer in a random environment, where $\omega(i,x), i\in \mathbb{N}, x\in \mathbb{Z}^2$ are i.i.d ...
Clément Cosco, O. Zeitouni
semanticscholar +1 more source
Ramification of Volterra-type rough paths [PDF]
Electronic Journal of Probability, 2021 We extend the new approach introduced in arXiv:1912.02064v2 [math.PR] and arXiv:2102.10119v1 [math.PR] for dealing with stochastic Volterra equations using the ideas of Rough Path theory and prove global existence and uniqueness results. The main idea of
Y. Bruned, Foivos Katsetsiadis
semanticscholar +1 more source
Estimating the probability that a given vector is in the convex hull of a random sample [PDF]
Probability theory and related fields, 2021 For a d -dimensional random vector X , let $$p_{n, X}(\theta )$$ p n , X ( θ ) be the probability that the convex hull of n independent copies of X contains a given point $$\theta $$ θ . We provide several sharp inequalities regarding $$p_{n, X}(\theta )$
Satoshi Hayakawa +2 more
semanticscholar +1 more source
Dissipative probability vector fields and generation of evolution semigroups in Wasserstein spaces [PDF]
Probability theory and related fields, 2021 We introduce and investigate a notion of multivalued $$\lambda $$ λ -dissipative probability vector field (MPVF) in the Wasserstein space $$\mathcal {P}_2({\textsf {X} })$$ P 2 ( X ) of Borel probability measures on a Hilbert space $${\textsf {X} }$$ X .
Giulia Cavagnari +2 more
semanticscholar +1 more source
Counting quadrant walks via Tutte's invariant method (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Extended abstract presented at the conference FPSAC 2016, Vancouver.
Olivier Bernardi +2 more
doaj +1 more source
Support and density of the limit $m$-ary search trees distribution [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The space requirements of an $m$-ary search tree satisfies a well-known phase transition: when $m\leq 26$, the second order asymptotics is Gaussian. When $m\geq 27$, it is not Gaussian any longer and a limit $W$ of a complex-valued martingale arises.
Brigitte Chauvin +2 more
doaj +1 more source
Asymptotic behavior of some statistics in Ewens random permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The purpose of this article is to present a general method to find limiting laws for some renormalized statistics on random permutations. The model considered here is Ewens sampling model, which generalizes uniform random permutations.
Valentin Feray
doaj +1 more source
The expected number of inversions after n adjacent transpositions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 We give a new expression for the expected number of inversions in the product of n random adjacent transpositions in the symmetric group S_{m+1}. We then derive from this expression the asymptotic behaviour of this number when n scales with m in various ...
Mireille Bousquet-Mélou
doaj +1 more source
Mean field analysis for inhomogeneous bike sharing systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 In the paper, bike sharing systems with stations having a finite capacity are studied as stochastic networks. The inhomogeneity is modeled by clusters.
Christine Fricker +2 more
doaj +1 more source