Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative. [PDF]
Probab Theory Relat Fields, 2022 The goal of this article is two-fold: in a first part, we prove Azuma–Hoeffding type concentration inequalities around the drift for the displacement of non-elementary random walks on hyperbolic spaces. For a proper hyperbolic space M, we obtain explicit
Aoun R, Sert C.
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Deviation bounds and concentration inequalities for quantum noises [PDF]
Quantum, 2022 We provide a stochastic interpretation of non-commutative Dirichlet forms in the context of quantum filtering. For stochastic processes motivated by quantum optics experiments, we derive an optimal finite time deviation bound expressed in terms of the ...
Tristan Benoist +2 more
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Concentration inequalities for Stochastic Differential Equations with additive fractional noise [PDF]
Electronic Journal of Probability, 2019 In this paper, we establish concentration inequalities both for functionals of the whole solution on an interval [0, T ] of an additive SDE driven by a fractional Brownian motion with Hurst parameter H $\in$ (0, 1) and for functionals of discrete-time ...
Maylis Varvenne
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Concentration inequalities for polynomials in α-sub-exponential random variables [PDF]
Electronic Journal of Probability, 2021 In this work we derive multi-level concentration inequalities for polynomial functions in independent random variables with a $\alpha$-sub-exponential tail decay.
Friedrich Götze +2 more
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Combinatorial anti-concentration inequalities, with applications [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2021 We prove several different anti-concentration inequalities for functions of independent Bernoulli-distributed random variables. First, motivated by a conjecture of Alon, Hefetz, Krivelevich and Tyomkyn, we prove some “Poisson-type” anti-concentration ...
Jacob Fox, Matthew Kwan, Lisa Sauermann
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Uniform Hanson-Wright type concentration inequalities for unbounded entries via the entropy method [PDF]
, 2020 This paper is devoted to uniform versions of the Hanson-Wright inequality for a random vector $X \in \mathbb{R}^n$ with independent subgaussian components.
Yegor Klochkov, Nikita Zhivotovskiy
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Concentration inequalities for measures of a Boolean model [PDF]
, 2017 We consider a Boolean model $Z$ driven by a Poisson particle process $\eta$ on a metric space $\mathbb{Y}$. We study the random variable $\rho(Z)$, where $\rho$ is a (deterministic) measure on $\mathbb{Y}$. Due to the interaction of overlapping particles,
Günter Last, Fabian Gieringer
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Determinants of medical borrowing and associated inequalities in the Kingdom of Saudi Arabia: evidence from the Global Findex survey [PDF]
Health Economics ReviewBackground While out-of-pocket health expenses continue to rise, households’ coping strategies remain largely unexplored. When individuals and families rely on unsustainable mechanisms such as borrowing, they may face heightened financial vulnerability ...
Mohammed Khaled Al-Hanawi
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Investigating inequalities in NO2 air pollution concentrations on novel indicators relating to small spatial areas [PDF]
International Journal for Equity in HealthNitrogen dioxide (NO2), a significant air pollutant from transport-related fossil fuel combustion, presents a critical environmental health challenge.
Aislinn Hoy, Gretta Mohan, Anne Nolan
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Decomposing wealth-based inequalities in ideal cardiovascular health in Kenya [PDF]
Communications MedicineBackground This study examined wealth-related inequalities in ideal cardiovascular health (iCVH), as defined by the 2010 American Heart Association guideline, among Kenyan adults.
James Odhiambo Oguta +9 more
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