Results 71 to 80 of about 26,863 (194)

Universality for eigenvalue correlations at the origin of the spectrum

, 2003
We establish universality of local eigenvalue correlations in unitary random matrix ensembles (1/Z_n) |\det M|^{2\alpha} e^{-n\tr V(M)} dM near the origin of the spectrum.
Kuijlaars, A. B. J., Vanlessen, M.
core   +3 more sources

Conformal optimization of eigenvalues on surfaces with symmetries

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley   +1 more source

Fractal Complex Dimensions, Riemann Hypothesis and Invertibility of the Spectral Operator [PDF]

, 2013
A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second author and H. Maier in terms of an inverse spectral problem for fractal strings.
Herichi, Hafedh, Lapidus, Michel L.
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Physically Realistic Solutions to the Ernst Equation on Hyperelliptic Riemann Surfaces

, 1998
We show that the class of hyperelliptic solutions to the Ernst equation (the stationary axisymmetric Einstein equations in vacuum) previously discovered by Korotkin and Neugebauer and Meinel can be derived via Riemann-Hilbert techniques.
A. Erdélyi, B. A. Dubrovin, C. Hoenselaers, C. Klein, C. Klein, C. Klein, C. Klein, C. M. Cosgrove, D. A. Korotkin, D. A. Korotkin, D. A. Korotkin, D. A. Korotkin, D. Kramer, D. Kramer, D. Maison, E. D. Belokolos, F. Foucault, F. J. Ernst, F. J. Ernst, G. Neugebauer, G. Neugebauer, G. Neugebauer, G. Neugebauer, H. D. Wahlquist, H. Müller zum Hagen, H. Stahl, J. B. Hartle, J. M. Bardeen, J. M. Senovilla, J. Rodin, L. Lindblom, N. I. Muschelischwili, O. Richter, P. A. Griffiths, R. Geroch, R. Meinel, S. I. Zverovich, S. Novikov, U. Schaudt, V. A. Belinski, Yu. I. Manin, Yu. I. Manin   +41 more
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W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley   +1 more source

First-passage statistics of random walks: a general approach via Riemann–Hilbert problems

Journal of Physics A: Mathematical and Theoretical
Abstract We study first-passage statistics for one-dimensional random walks S n with independent and identically distributed jumps starting from the origin.
Mattia Radice, Giampaolo Cristadoro
openaire   +2 more sources

On the deep‐water and shallow‐water limits of the intermediate long wave equation from a statistical viewpoint

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley   +1 more source

Identification of observables in quantum toboggans

, 2008
Quantum systems with real energies generated by an apparently non-Hermitian Hamiltonian may re-acquire the consistent probabilistic interpretation via an ad hoc metric which specifies the set of observables in the updated Hilbert space of states.
, Alvarez G, Bender C M, Bender C M, Bender C M, Buslaev V, Davies E B, Dorey P, Dorey P, Dorey P Dunning C Tateo R, Lévai G, Messiah A, Miloslav Znojil, Mostafazadeh A, Mustafa O, Sibuya Y, Znojil M, Znojil M, Znojil M, Znojil M, Znojil M   +20 more
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Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley   +1 more source

High order three-term recursions, Riemann-Hilbert minors and Nikishin systems on star-like sets

, 2012
We study monic polynomials $Q_n(x)$ generated by a high order three-term recursion $xQ_n(x)=Q_{n+1}(x)+a_{n-p} Q_{n-p}(x)$ with arbitrary $p\geq 1$ and $a_n>0$ for all $n$. The recursion is encoded by a two-diagonal Hessenberg operator $H$.
Delvaux, Steven, García, Abey López
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