Establishes large deviation principle with speed n² for the normalized count of points in bounded set U for finite β-ensembles on R and C under suitable boundary conditions on U.
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Derives explicit formulas for mixed spectral moments of complex and symplectic non-Hermitian random matrices in terms of orthogonal polynomial norms, with large-N asymptotics matching elliptic and non-Hermitian Marchenko-Pastur laws.
Establishes entropy-cost inequalities for McKean-Vlasov SDEs with singular interactions to prove well-posedness and regularity estimates via a new probability distance induced by local integrable functions.
Under relative scalings lim ε log(1/δ)=0 and stricter variants, the authors establish LLN, LDP, and CLT for an additive-noise model approximating fluctuating chemotactic particle hydrodynamics in distribution and function spaces via singular SPDE techniques.
Turbulent dissipation is modeled as a spatio-temporal Gaussian Multiplicative Chaos and tested against Navier-Stokes simulations.
citing papers explorer
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Large deviations of crowding in finite $\beta$-ensembles
Establishes large deviation principle with speed n² for the normalized count of points in bounded set U for finite β-ensembles on R and C under suitable boundary conditions on U.
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Spectral moments of complex and symplectic non-Hermitian random matrices
Derives explicit formulas for mixed spectral moments of complex and symplectic non-Hermitian random matrices in terms of orthogonal polynomial norms, with large-N asymptotics matching elliptic and non-Hermitian Marchenko-Pastur laws.
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Entropy-Cost Inequalities for McKean-Vlasov SDEs with Singular Interactions
Establishes entropy-cost inequalities for McKean-Vlasov SDEs with singular interactions to prove well-posedness and regularity estimates via a new probability distance induced by local integrable functions.
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An Additive-Noise Approximation to Keller-Segel-Dean-Kawasaki Dynamics: Small-Noise Results
Under relative scalings lim ε log(1/δ)=0 and stricter variants, the authors establish LLN, LDP, and CLT for an additive-noise model approximating fluctuating chemotactic particle hydrodynamics in distribution and function spaces via singular SPDE techniques.
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The spatio-temporal statistical structure of the turbulent dissipation field and its stochastic representation as a Gaussian Multiplicative Chaos
Turbulent dissipation is modeled as a spatio-temporal Gaussian Multiplicative Chaos and tested against Navier-Stokes simulations.