Faculty

Institution

Unit

Venue

Peter D. Hislop

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

NonePeter D. Hislop is currently serving as a College Of Arts & Sciences faculty at University of Kentucky.

Honors

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Experiences

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Education

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Peter D. Hislop

University of Kentucky

You can click a keyword to filter the displayed items

applied mathematics spectral theory mathematics operator theory mathematical sciences mathematical physics physics nonlinear science applied physics quantum science mathematical analysis spectral analysis functional analysis numerical analysis schrodinger operators applied algebra random schrodinger operators number theory quantum chemistry numerical mathematics spectroscopy graph theory mathematical optimization analytic number theory spectrum estimation quantum chaos finite fields quantum theory localization function spaces dirac operator geometric topology statistical physics random matrix potential theory matrix theory edge currents machine learning research raman spectroscopy wave theory hyperparameter estimation spectral shift function eigenvalue statistics atomic spectroscopy biomedical imaging general systems riemannian manifold global analysis wave scattering detection limit parameter identification mathematical statistical physic spectral searching spectroscopic property complex geometry global continuity integrated density landau hamiltonians anderson model stark ladder resonances edge states non-maximal rank hyperbolic manifolds unbounded geometries quantum hall systems current-current correlation measure hamiltonian theory information theory physical acoustics mathematical modelling mathematical models lie theory topological invariants nonlinear equations wave mechanics nonlinear hyperbolic problem real analysis function theory complex function theory rational mechanic complex analysis eigenvalue estimates theoretical mathematics

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Analysis of Time-Fractional Quantum Diffusion. Applied Mathematics Letters (2024)

Peter D. HislopÉric Soccorsi

time-fractional quantum diffusionasymptotic analysisdiffusionapplied mathematicsquantum mechanics

Edge Currents for the Time-Fractional, Half-Plane, SchröDinger Equation With Constant Magnetic Field. Journal of Mathematical Physics (2024)

Peter D. HislopÉric Soccorsi

edge currentsapplied mathematicsmathematical physicsschrodinger equationconstant magnetic field

Eigenfunctions and Quantum Transport With Applications to Trimmed SchröDinger Operators. Journal of Mathematical Physics (2024)

Peter D. HislopWerner KirschM. Krishna

physicsspectral theoryfinite fieldsschrodinger operatorslinear algebraquantum algebraapplied mathematicsmathematical physicsquantum mechanicsoperator theory

New Directions in Disordered Systems: A Conference in Honor of Abel Klein. Journal of Mathematical Physics (2024)

A. ElgartF. GerminetP. D. HislopS. JitomirskayaC. Rojas-Molina

physicsnonlinear dynamicsabel kleinnonlinear systemscomplex systemsdynamical systemsdiscrete dynamical systemsmathematical physicsdisordered systemsdisordered quantum system

Local Eigenvalue Statistics for Higher-Rank Anderson Models After Dietlein–Elgart. Reviews in Mathematical Physics (2023)

Samuel HerschenfeldPeter D. Hislop

mathematical analysisstring theoryhigh-dimensional statisticsprincipal component analysislocal eigenvalue statisticshigher-rank anderson modelsspectral theoryapplied mathematicsmathematical physicsmathematics

Foreword. Academic Studies Press eBooks (2022)

Paul Freedman

On the Local Eigenvalue Statistics for Random Band Matrices in the Localization Regime. Journal of Statistical Physics (2022)

Peter D. HislopM. Krishna

high-dimensional statisticsergodic theorystatistical mechanicsspectral theorylocalizationapplied mathematicsmatrix analysisstatistical physicsmachine learning researchstatistical inferencestatisticsstatistical theoryspectrum estimationlocal eigenvalue statisticsstochastic processstatistical field theoriesrandom band matricesstochastic geometrybiostatisticslocalization regimerandom matrix

The Density of States and Local Eigenvalue Statistics for Random Band Matrices of Fixed Width. Journal of Spectral Theory (2022)

Benjamin BrodiePeter D. Hislop

random band matricesmatrix analysishigh-dimensional statisticsspread spectrumergodic theorytime serieslocal eigenvalue statisticsspectral theoryfixed widthlinear algebramatrix theoryspectral analysisapplied mathematicsrandom matrixmathematicsmathematical optimizationnumerical linear algebraelectrical engineering

Compactness of Iso-Resonant Potentials for SchröDinger Operators in Dimensions One and Three. Transactions of the American Mathematical Society (2021)

Peter HislopRobert Wolf

modern algebrafunctional analysispure mathematicsspectral theoryschrodinger operatorsiso-resonant potentialsnumber theorypotential theoryapplied mathematicsdimensions onemathematicsoperator theory

Decorrelation Estimates for Random SchröDinger Operators With Non Rank One Perturbations. Journal of Spectral Theory (2021)

Peter D. HislopMaddaly KrishnaChristopher Shirley

random schrodinger operatorstime seriesdecorrelation estimatesspectral theorynon rank onespectral analysisapplied mathematics

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Peter D. Hislop

University of Kentucky

Affiliations

College of Arts & Sciences

Mathematics

NonePeter D. Hislop is currently serving as a College Of Arts & Sciences faculty at University of Kentucky.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Peter D. Hislop

University of Kentucky

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Asymptotic Analysis of Time-Fractional Quantum Diffusion. Applied Mathematics Letters (2024)

Peter D. HislopÉric Soccorsi

time-fractional quantum diffusionasymptotic analysisdiffusionapplied mathematicsquantum mechanics

Edge Currents for the Time-Fractional, Half-Plane, SchröDinger Equation With Constant Magnetic Field. Journal of Mathematical Physics (2024)

Peter D. HislopÉric Soccorsi

edge currentsapplied mathematicsmathematical physicsschrodinger equationconstant magnetic field

Eigenfunctions and Quantum Transport With Applications to Trimmed SchröDinger Operators. Journal of Mathematical Physics (2024)

Peter D. HislopWerner KirschM. Krishna

physicsspectral theoryfinite fieldsschrodinger operatorslinear algebraquantum algebraapplied mathematicsmathematical physicsquantum mechanicsoperator theory

New Directions in Disordered Systems: A Conference in Honor of Abel Klein. Journal of Mathematical Physics (2024)

A. ElgartF. GerminetP. D. HislopS. JitomirskayaC. Rojas-Molina

physicsnonlinear dynamicsabel kleinnonlinear systemscomplex systemsdynamical systemsdiscrete dynamical systemsmathematical physicsdisordered systemsdisordered quantum system

Local Eigenvalue Statistics for Higher-Rank Anderson Models After Dietlein–Elgart. Reviews in Mathematical Physics (2023)

Samuel HerschenfeldPeter D. Hislop

Foreword. Academic Studies Press eBooks (2022)

Paul Freedman

On the Local Eigenvalue Statistics for Random Band Matrices in the Localization Regime. Journal of Statistical Physics (2022)

Peter D. HislopM. Krishna

The Density of States and Local Eigenvalue Statistics for Random Band Matrices of Fixed Width. Journal of Spectral Theory (2022)

Benjamin BrodiePeter D. Hislop

Compactness of Iso-Resonant Potentials for SchröDinger Operators in Dimensions One and Three. Transactions of the American Mathematical Society (2021)

Peter HislopRobert Wolf

modern algebrafunctional analysispure mathematicsspectral theoryschrodinger operatorsiso-resonant potentialsnumber theorypotential theoryapplied mathematicsdimensions onemathematicsoperator theory

Decorrelation Estimates for Random SchröDinger Operators With Non Rank One Perturbations. Journal of Spectral Theory (2021)

Peter D. HislopMaddaly KrishnaChristopher Shirley

random schrodinger operatorstime seriesdecorrelation estimatesspectral theorynon rank onespectral analysisapplied mathematics

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5
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spectral theory

inverse scattering transforms

Dmitry Khavinson

Institution

University of South Florida

applied mathematical modelling

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University of California, Los Angeles

complex analysis

functional analysis

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computational infrastructure

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signal processing

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spectral theory

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applied mathematical modelling

scientific computing

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mathematics

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spectral theory

stochastic process