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Overview

Ira Herbst is affiliated with the University of Virginia in the United States. Their research primarily lies within the field of Mathematics, with a focus on Mathematical Physics. Their work spans several subfields, including Applied Mathematics, Statistical and Nonlinear Physics, Computational Theory and Mathematics, and Artificial Intelligence.

The scientist's main research topics include Mathematical Dynamics and Fractals, Spectral Theory in Mathematical Physics, semigroups and automata theory, Stochastic processes and statistical mechanics, Bayesian Methods and Mixture Models, Financial Risk and Volatility Modeling, and Quantum chaos and dynamical systems.

Herbst has a number of recent publications, reflecting ongoing contributions to these areas. Recent papers include:

  • How Many Digits are Needed? (2024) in Methodology And Computing In Applied Probability
  • The Asymptotic Distribution of the Scaled Remainder for Pseudo Golden Ratio Expansions of a Continuous Random Variable (2025) in Methodology And Computing In Applied Probability
  • How many digits are needed? (2023) in Research Square (Research Square)
  • Singular Distribution Functions for Random Variables with Stationary Digits (2023) in Methodology And Computing In Applied Probability
  • Characterization of random variables with stationary digits (2022) in Journal of Applied Probability

The publication venues where Herbst frequently publishes include arXiv (Cornell University), Methodology And Computing In Applied Probability, Journal of Applied Probability, Research Square (Research Square), and Nonlinear Analysis.

Herbst collaborates regularly with fellow researchers, among whom frequent coauthors are Jesper Møller, Horia D. Cornean, Anne Marie Svane, Kasper S. Sørensen, and Benjamin B. Støttrup.

Best Publications

  • Schrödinger operators with magnetic fields. I. general interactions

    J. Avron;I. Herbst;B. Simon

  • Spectral theory of the operator $(p^{2}+m^{2})^{1/2}-Ze^{2}/r$

    Ira W. Herbst

  • Schrödinger operators with magnetic fields. III. Atoms in homogeneous magnetic field

    J. E. Avron;I. W. Herbst;B. Simon

  • Spectral and scattering theory of Schrödinger operators related to the Stark effect

    J. E. Avron;J. E. Avron;I. W. Herbst

  • Exponential bounds and absence of positive eigenvalues for $N$-body Schrödinger operators

    Richard Froese;Ira Herbst

  • Dilation analyticity in constant electric field

    Ira W. Herbst

  • A new proof of the Mourre estimate

    Richard Froese;Ira Herbst

  • Perturbation of translation invariant positivity preserving semigroups on

    Ira W. Herbst;Alan D. Sloan

  • Realizing Holonomic Constraints in Classical and Quantum Mechanics

    Richard Froese;Ira Herbst

  • Dilation analyticity in constant electric field. II. $N$-body problem, Borel summability

    Ira W. Herbst;B. Simon

  • Unitary equivalence of stark Hamiltonians

    Ira W. Herbst

  • The stark ladder and other one-dimensional external field problems

    I. W. Herbst;J. S. Howland

  • Strong magnetic fields, Dirichlet boundaries, and spectral gaps

    Rainer Hempel;Ira Herbst

  • On the absence of positive eigenvalues for one-body Schrödinger operators

    Richard Froese;Ira Herbst;Maria Hoffmann-Ostenhof;Thomas Hoffmann-Ostenhof

  • Absence of Ground States for a Class of Translation Invariant Models of Non-relativistic QED

    D. Hasler;I. Herbst

  • Some remarkable examples in eigenvalue perturbation theory

    I.W. Herbst;B. Simon

  • Perturbation of embedded eigenvalues in the generalized N-body problem

    Shmuel Agmon;Shmuel Agmon;Ira Herbst;Erik Skibsted

  • Exponential decay in the Stark effect

    Ira W. Herbst

  • Diffusion equation techniques in stochastic monotonicity and positive correlations

    Ira Herbst;Loren Pitt

  • Ground States in the Spin Boson Model

    David Hasler;Ira Herbst

Frequent Co-Authors

Barry Simon
Barry Simon California Institute of Technology
Jesper Møller
Jesper Møller Aalborg University

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