I. Herbst

activity

19992023

most citedGround States in the Spin Boson Model

47 citations · 175 across the 27 of their papers we have counts for

collaborators

27 papers

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.SP2023

The Howland-Kato Commutator Problem II

Richard Froese, Ira Herbst

We continue the search, begun by Kato, for all pairs of real, bounded, measurable functions ${f, g}$ that result in a positive commutator $[i f (P), g (Q)]$ . We prove a number of part…

math-ph2022

Griffiths inequalities for non-interacting rotors

Ira Herbst

We prove Griffiths inequalities for spins in n>1 dimensions with no interaction.

math.AP2022

Weak solutions to the Navier-Stokes equations

Ira Herbst

We prove the equivalence of being a Leray-Hopf weak solution to the Navier-Stokes equations in $R^{m}, m \geq 3$ , to satisfying a well known integral equation. We use this eq…

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_…