Faculty

Institution

Unit

Venue

Xiaolong Han

Tenure-track Assistant Professor

California State University--Northridge

Affiliations

College of Science and Mathematics

School Of Science And Mathematics

Department Of Mathematics

Xiaolong Han is currently serving as a College Of Science And Mathematics Tenure-track Assistant Professor at California State University--Northridge.

Honors

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Experiences

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Education

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Xiaolong Han

California State University--Northridge

Tenure-track Assistant Professor

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mathematics applied mathematics spectral theory functional analysis boundary value problems operator theory harmonic analysis nonlinear analysis function spaces microlocal analysis physics partial differential equations abstract and applied analysis mathematical analysis nonlinear phenomena statistical mechanics convex analysis fractals variational analysis harmonic space numerical analysis wave nonlinearity numerical mathematics statistical physics modern physics mathematical sciences geometric topology entropy high-frequency approximation fourier analysis wave group wave theory rogue waves calculus of variations potential theory nonlinear functional analysis spectral analysis facies analysis statistical field theories riemann-hilbert problem riemannian manifold global analysis riemannian geometry extremal set theory fractal analysis stochastic geometry high frequency layer potentials sharp norm estimates random waves double layer potentials analytic manifolds nodal sets nodal points nodal lengths riemann moduli spaces tomas-stein restriction estimates fractal uncertainty principle random alphabets discrete cantor sets

Notable Scholarly Works

Notable Federal Grants

Collaborators

Fractal Uncertainty Principle for Random Cantor Sets. Journal of the Australian Mathematical Society (2026)

statistical mechanicsstochastic geometrygeometric measure theoryset theoryfractal analysismathematicsprobability theoryentropyapplied mathematicsextremal set theoryfractals

Fractal Uncertainty Principle for Discrete Cantor Sets With Random Alphabets. Mathematical Research Letters (2023)

Suresh EswarathasanXiaolong Han

discrete cantor setsrandom alphabetsfractal uncertainty principlemathematicsfractals

Riemann Moduli Spaces Are Quantum Ergodic. Journal of Differential Geometry (2023)

Dean BaskinJesse Gell-RedmanXiaolong Han

topologyapplied mathematicsriemann moduli spacesdifferential geometry

From Nodal Points to Non-Equidistribution at the Planck Scale. Comptes Rendus Mathématique (2022)

quantum mechanicsphysicsmathematical physicsmathematicsmodern physicsspectral theorynodal pointsstatistical field theories

Equidistribution of Random Waves on Small Balls. Communications in Mathematical Physics (2019)

nonlinear phenomenastatistical mechanicswave groupasymptotic analysisrandom wavesstatistical physicsphysicswave theorywave nonlinearityharmonic analysisrogue wavesprobability theory

Tomas–Stein Restriction Estimates on Convex Cocompact Hyperbolic Manifolds. International Mathematics Research Notices (2019)

geometric topologyfunctional analysistomas–stein restriction estimatesdifferential geometryriemannian geometryriemannian manifoldapplied mathematicsglobal analysismathematicsgeometric analysisconvex analysisfunction spacesgeometry and topologymathematical sciences

$$L^P$$ L P Bilinear Quasimode Estimates. Journal of Geometric Analysis (2018)

functional analysisboundary value problemsnonlinear analysisabstract and applied analysisharmonic analysismathematicsharmonic spacevariational analysismathematical analysisfunction spacesmicrolocal analysisspectral theoryapplied mathematics

Distribution of the Nodal Sets of Eigenfunctions on Analytic Manifolds. Journal of Spectral Theory (2018)

Xiaolong Han

spectral analysisanalytic manifoldsoperator theorymathematicsfacies analysisnodal setsspectral theory

Nodal Lengths of Eigenfunctions in the Disc. Proceedings of the American Mathematical Society (2018)

functional analysisboundary value problemsriemann-hilbert problemharmonic analysismathematicsgeometric analysiscomplex analysisnodal lengthsspectral theoryapplied mathematics

Lp Bilinear Quasimode Estimates. arXiv (Cornell University) (2015)

functional analysisnonlinear analysisboundary value problemsabstract and applied analysisharmonic analysismathematicsoperator theoryharmonic spacevariational analysisconvex analysismathematical analysisfunction spacesmicrolocal analysisspectral theoryapplied mathematics

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Xiaolong Han

Tenure-track Assistant Professor

California State University--Northridge

Affiliations

College of Science and Mathematics

School Of Science And Mathematics

Department Of Mathematics

Xiaolong Han is currently serving as a College Of Science And Mathematics Tenure-track Assistant Professor at California State University--Northridge.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Xiaolong Han

California State University--Northridge

Tenure-track Assistant Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Fractal Uncertainty Principle for Random Cantor Sets. Journal of the Australian Mathematical Society (2026)

statistical mechanicsstochastic geometrygeometric measure theoryset theoryfractal analysismathematicsprobability theoryentropyapplied mathematicsextremal set theoryfractals

Fractal Uncertainty Principle for Discrete Cantor Sets With Random Alphabets. Mathematical Research Letters (2023)

Suresh EswarathasanXiaolong Han

discrete cantor setsrandom alphabetsfractal uncertainty principlemathematicsfractals

Riemann Moduli Spaces Are Quantum Ergodic. Journal of Differential Geometry (2023)

Dean BaskinJesse Gell-RedmanXiaolong Han

topologyapplied mathematicsriemann moduli spacesdifferential geometry

From Nodal Points to Non-Equidistribution at the Planck Scale. Comptes Rendus Mathématique (2022)

quantum mechanicsphysicsmathematical physicsmathematicsmodern physicsspectral theorynodal pointsstatistical field theories

Equidistribution of Random Waves on Small Balls. Communications in Mathematical Physics (2019)

nonlinear phenomenastatistical mechanicswave groupasymptotic analysisrandom wavesstatistical physicsphysicswave theorywave nonlinearityharmonic analysisrogue wavesprobability theory

Tomas–Stein Restriction Estimates on Convex Cocompact Hyperbolic Manifolds. International Mathematics Research Notices (2019)

$$L^P$$ L P Bilinear Quasimode Estimates. Journal of Geometric Analysis (2018)

Distribution of the Nodal Sets of Eigenfunctions on Analytic Manifolds. Journal of Spectral Theory (2018)

Xiaolong Han

spectral analysisanalytic manifoldsoperator theorymathematicsfacies analysisnodal setsspectral theory

Nodal Lengths of Eigenfunctions in the Disc. Proceedings of the American Mathematical Society (2018)

functional analysisboundary value problemsriemann-hilbert problemharmonic analysismathematicsgeometric analysiscomplex analysisnodal lengthsspectral theoryapplied mathematics

Lp Bilinear Quasimode Estimates. arXiv (Cornell University) (2015)

1
2
10 / page