Jesper Møller

activity

20182023

most citedSingular distribution functions for random variables with stationary digits

1 citations · 1 across the 3 of their papers we have counts for

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4 papers · 1 filter

math.PR2023

How many digits are needed?

Ira W. Herbst, Jesper Møller, Anne Marie Svane

Let $X_{1}, X_{2}, ...$ be the digits in the base- $q$ expansion of a random variable $X$ defined on $[0, 1)$ where $q \geq 2$ is an integer. For $n = 1, 2, ...$ , we study the probability distrib…

math.PR2022★ 1 cited

Singular distribution functions for random variables with stationary digits

Horia Cornean, Ira W. Herbst, Jesper Møller +2

Let $F$ be the cumulative distribution function (CDF) of the base- $q$ expansion $\sum_{n = 1}^{\infty} X_{n} q^{- n}$ , where $q \geq 2$ is an integer and ${X_{n}}_{n \geq 1}$ is a stationary…

math.PR2020

Characterization of random variables with stationary digits

Horia Cornean, Ira W. Herbst, Jesper Møller +2

Let $q \geq 2$ be an integer, ${X_{n}}_{n \geq 1}$ a stochastic process with state space ${0, \dots, q - 1}$ , and $F$ the cumulative distribution function (CDF) of $\sum_{n=1}^\infty X_…

math.PR2018

Couplings for determinantal point processes and their reduced Palm distributions with a view to quantifying repulsiveness

Jesper Møller, Eliza O'Reilly

For a determinantal point process $X$ with a kernel $K$ whose spectrum is strictly less than one, Andr{é} Goldman has established a coupling to its reduced Palm process $X^{u}$ at a…