Bayesian nonparametric estimators derived from conditional Gibbs structures [PDF]
We consider discrete nonparametric priors which induce Gibbs-type exchangeable random partitions and investigate their posterior behavior in detail.
PRUENSTER, IGOR +5 more
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Stochastic monotonicity and duality for one-dimensional Markov processes [PDF]
The theory of monotonicity and duality is developed for general one-dimensional Feller processes, extending the approach from [11]. Moreover it is shown that local monotonicity conditions (conditions on the Lévy kernel) are sufficient to prove the well-
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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Uniform Dimension Results for the Inverse Images of Symmetric Lévy Processes [PDF]
This file is the manuscript available at arXiv:1903.10009v2 [math.PR] - 19 pages, to appear in JOTP.NSF Grants DMS1607089andDMS-1855185; Luxembourg’s National Foundation for Research (FNR), through the AFR project ...
Park, H, Xiao, Y, Yang, X
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Random partitions in statistical mechanics [PDF]
We consider a family of distributions on spatial random partitions that provide a coupling between different models of interest: the ideal Bose gas; the zero-range process; particle clustering; and spatial permutations.
Nicholas Ercolani (16242443) +8 more
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Multivariate normal approximation in geometric probability
Consider a measure μλ = Σx ξx δx where the sum is over points x of a Poisson point process of intensity λ on a bounded region in d-space, and ξx is a functional determined by the Poisson points near to x, i.e.
Penrose, MD +5 more
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Equality of critical points for polymer depinning transitions with loop exponent one [PDF]
We consider a polymer with configuration modeled by the trajectory of a Markov chain, interacting with a potential of form u + Vn when it visits a particular state 0 at time n, with {Vn} representing i.i.d. quenched disorder. There is a critical value
Zygouras, Nikos +3 more
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Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains
We study stochastic billiards in infinite planar domains with curvilinear boundaries: that is, piecewise deterministic motion with randomness introduced via random reflections at the domain boundary.
Vachkovskaia, M. +7 more
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The distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous planar anisotropic STIT Tessellations [PDF]
summary:A result about the distribution of the number of nodes in the relative interior of the typical I-segment in homogeneous and isotropic random tessellations stable under iteration (STIT tessellations) is extended to the anisotropic case using ...
Thäle, Christoph
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Critical random graphs : limiting constructions and distributional properties [PDF]
We consider the Erdos-Renyi random graph G(n, p) inside the critical window, where p = 1/n + lambda n(-4/3) for some lambda is an element of R. We proved in Addario-Berry et al.
Goldschmidt, C. (Christina) +6 more
core
Approximation of integrals over asymptotic sets with applications to probability and statistics
http://www.arxiv.org/abs/math.PR/0312132, 315 ...
Barbe, Philippe
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