Anomalous heat-kernel decay for random walk among bounded random conductances [PDF]
arXiv.org, 2006 We consider the nearest-neighbor simple random walk on $\Z^d$, $d\ge2$, driven by a field of bounded random conductances $\omega_{xy}\in[0,1]$. The conductance law is i.i.d.
Berger, Noam +3 more
core +6 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