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The survival probability of a critical multi-type branching process in i.i.d. random environment
Annals of Probability, 2018 Conditioned on the generating functions of offspring distribution, we study the asymp-totic behaviour of the probability of non-extinction of a critical multi-type Galton-Watson process in i.i.d.
E. L. Page, M. Peigné, C. Pham
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Multiscale functional inequalities in probability: Concentration properties
Latin American Journal of Probability and Mathematical Statistics, 2017 In a companion article we have introduced a notion of multiscale functional inequalities for functions $X(A)$ of an ergodic stationary random field $A$ on the ambient space $\mathbb R^d$.
Mitia Duerinckx, A. Gloria
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Generalized flows, intrinsic stochasticity, and turbulent transport. [PDF]
Proc Natl Acad Sci U S A, 2000 E W, Vanden Eijnden E.
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On the probability that a binomial variable is at most its expectation [PDF]
Statistics and Probability Letters, 2020 S. Janson
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An Elementary Analysis of the Probability That a Binomial Random Variable Exceeds Its Expectation [PDF]
Statistics and Probability Letters, 2017 Benjamin Doerr
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KPZ equation from non-simple variations on open ASEP
Probability theory and related fields, 2020This paper has two main goals. The first is universality of the KPZ equation for fluctuations of dynamic interfaces associated to interacting particle systems in the presence of open boundary.
Kevin Yang
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Probability theory and related fields, 2019
We introduce and study a family of random processes on trees we call hipster random walks, special instances of which we heuristically connect to the min-plus binary trees introduced by Robin Pemantle and studied by Auffinger and Cable (Pemantle’s Min ...
L. Addario-Berry +4 more
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We introduce and study a family of random processes on trees we call hipster random walks, special instances of which we heuristically connect to the min-plus binary trees introduced by Robin Pemantle and studied by Auffinger and Cable (Pemantle’s Min ...
L. Addario-Berry +4 more
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A Theory of Singular Values for Finite Free Probability
Journal of theoretical probability, 2022We introduce a finite version of free probability for rectangular matrices that amounts to operations on singular values of polynomials. This study is motivated by the companion papers Gribinski (J Comb Theory.
A. Gribinski
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Conditional Probability and Independence
Probability, 2021INDEPENDENCE Combining Events: The union A ∪ B is the event consisting of all outcomes in A or in B or in both. The intersection A ∩ B is the event consisting of all outcomes in both A and B.
S. Tindel
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Foundations of Constructive Probability Theory, 2016
For each ω ∈ Ω, Xn(ω) = 0 for all n > log2(1/ω), so Xn(ω)→ 0 as n→∞ for every ω, but E[Xn] = 1 for all n. We will want to find conditions that allow us to compute expectations by taking limits, i.e., to force an equality in Equation (1).
Alexandr A. A. Borovkov
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For each ω ∈ Ω, Xn(ω) = 0 for all n > log2(1/ω), so Xn(ω)→ 0 as n→∞ for every ω, but E[Xn] = 1 for all n. We will want to find conditions that allow us to compute expectations by taking limits, i.e., to force an equality in Equation (1).
Alexandr A. A. Borovkov
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