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Mathematics

D-Index
42
Citations
6965
World Ranking
1799
National Ranking
770

Overview

Avy Soffer is affiliated with Rutgers, The State University of New Jersey in the United States. Their research primarily revolves around advanced topics in mathematical physics and applied mathematics, contributing extensively to fields such as Mathematics and Physics and Astronomy.

Their work spans a variety of subfields including Mathematical Physics, Statistical and Nonlinear Physics, Applied Mathematics, Atomic and Molecular Physics and Optics, as well as Control and Systems Engineering.

Avy Soffer's research covers multiple main topics, notably:

  • Advanced Mathematical Physics Problems
  • Spectral Theory in Mathematical Physics
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Numerical methods in inverse problems
  • Stability and Controllability of Differential Equations
  • Mathematical Analysis and Transform Methods

Their publication record is extensive, with a significant number of papers appearing in various venues. The most frequent publication outlets include:

  • arXiv (Cornell University)
  • Journal of Statistical Physics
  • Archive for Rational Mechanics and Analysis
  • Journal of Functional Analysis
  • International Mathematics Research Notices

Among their recent papers are:

  • "Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities" (2020), published in SIAM Journal on Mathematical Analysis
  • "Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons" (2020), published in Journal of Statistical Physics
  • "Asymptotics for 1D Klein-Gordon Equations with Variable Coefficient Quadratic Nonlinearities" (2021), published in Archive for Rational Mechanics and Analysis
  • "The Nonlinear Schrödinger Equation on Z and R with Bounded Initial Data: Examples and Conjectures" (2020), published in Journal of Statistical Physics
  • "Beyond Bogoliubov dynamics" (2021), published in Pure and Applied Analysis

Collaborations with other researchers form a notable component of Soffer's work. Frequent co-authors include Minh-Binh Tran, Chris Stucchio, Xiaoxu Wu, Xiaohua Yao, and Yifei Wu.

In addition to articles, Avy Soffer has contributed to book publications, including a work titled "Time Dependent Phase Space Filters" (2023), published by SpringerBriefs on PDEs and Data Science.

Best Publications

  • The Belle II Physics Book

    E. Kou;P. Urquijo;W. Altmannshofer;F. Beaujean

  • Decay estimates for Schrödinger operators

    J. ‐L Journé;Avraham Soffer;C. D. Sogge

  • Multichannel nonlinear scattering for nonintegrable equations

    A. Soffer;M. I. Weinstein

  • Resonances, radiation damping and instabilitym in Hamiltonian nonlinear wave equations

    A. Soffer;Michael I. Weinstein

  • The N-particle scattering problem: asymptotic completeness for short-range systems

    Israel Michael Sigal;Avraham Soffer

  • Resonances, Radiation Damping and Instability in Hamiltonian Nonlinear Wave Equations

    A. Soffer;M.I. Weinstein

  • Multichannel nonlinear scattering for nonintegrable equations II. The case of anisotropic potentials and data

    A. Soffer;Michael I. Weinstein

  • The global Cauchy problem for the critical non-linear wave equation

    J Ginibre;A Soffer;G Velo

  • Asymptotic stability of N-soliton states of NLS

    I. Rodnianski;W. Schlag;A. Soffer

  • The Belle II Physics Book

    E. Kou;P. Urquijo;W. Altmannshofer;F. Beaujean

  • Selection of the ground state for nonlinear schrödinger equations

    A. Soffer;M. I. Weinstein;M. I. Weinstein

  • Exact inequality for random systems: Application to random fields.

    Moshe Schwartz;A. Soffer

  • TIME DEPENDENT RESONANCE THEORY

    A. Soffer;Michael I. Weinstein

  • On Pointwise Decay of Linear Waves on a Schwarzschild Black Hole Background

    Roland Donninger;Wilhelm Schlag;Avy Soffer

  • Semilinear wave equations on the Schwarzschild manifold. I. Local decay estimates

    P. Blue;A. Soffer

  • Selection of the ground state for nonlinear Schroedinger equations

    A. Soffer;M.I. Weinstein

  • Entropy production by block variable summation and central limit theorems

    E. A. Carlen;A. Soffer

  • A proof of Price's Law on Schwarzschild black hole manifolds for all angular momenta

    Roland Donninger;Wilhelm Schlag;Avy Soffer

  • Dispersive analysis of charge transfer models

    Igor Rodnianski;Wilhelm Schlag;Avraham Soffer

  • The Nonlinear Schroedinger Equation with a random potential: Results and Puzzles

    Shmuel Fishman;Yevgeny Krivolapov;Avy Soffer

  • Long-range many-body scattering.

    I. M. Sigal;A. Soffer

Frequent Co-Authors

Michael I. Weinstein
Michael I. Weinstein Columbia University
Hans Lindblad
Hans Lindblad Johns Hopkins University
Wilhelm Schlag
Wilhelm Schlag Yale University
Christopher D. Sogge
Christopher D. Sogge Johns Hopkins University
Igor Rodnianski
Igor Rodnianski Princeton University
Ashlie Martini
Ashlie Martini University of California, Merced
John Webb
John Webb La Trobe University
Antonio Pich
Antonio Pich University of Valencia
C. Hearty
C. Hearty University of British Columbia
Mordechai Segev
Mordechai Segev Technion – Israel Institute of Technology

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