Airy-function electron localization in the oxide superlattices
Oxide superlattices and microstructures hold the promise for creating a new class of devices with unprecedented functionalities. Density-functional studies of
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Airy functions in the thermodynamic Bethe ansatz
Thermodynamic Bethe ansatz equations are coupled non-linear integral equations which appear frequently when solving integrable models. Those associated with models
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Asymptotic representations for some functions and integrals connected with the Airy function
The asymptotic representations of the functions ${\rm Ai}_1(x), {\rm Gi}(x), {\rm Ai}'(x), {\rm Ai}^2(x), {\rm Bi}^ 2(x)$ are obtained. As
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Double Scaling Limits, Airy Functions and Multicritical Behaviour in O(N) Vektor Sigma Models
O(N) vector sigma models possessing catastrophes in their action are studied. Coupling the limit N --> infinity with an appropriate
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Gaussian fluctuation for the number of particles in Airy, Bessel, sine and other determinantal random point fields
We prove the Central Limit Theorem for the number of eigenvalues near the spectrum edge for hermitian ensembles of random
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Step fluctuations for a faceted crystal
A statistical mechanics model for a faceted crystal is the 3D Ising model at zero temperature. It is assumed that
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Dimensional Reduction and Crossover to Mean-Field Behavior for Branched Polymers
This article will review recent results on dimensional reduction for branched polymers, and discuss implications for critical phenomena. Parisi and
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Effects of Screening of the Instantons in Nonperturbative QCD
The gluon fields screening in the stochastic vacuum of gluodynamics is studied. The effective action is derived for the instanton
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Instanton Screening in the Nonperturbative Gluodynamics
The gluon fields screening in the stochastic vacuum of gluodynamics is studied. The effective action is derived for the instanton
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Intersection Theory, Integrable Hierarchies and Topological Field Theory
In these lecture notes we review the various relations between intersection theory on the moduli space of Riemann surfaces, integrable
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Preliminary results of dark-speckle stellar coronography
The dark-speckle method (Labeyrie 1995) combines features of speckle interferometry and adaptive optics to provide images of faint circumstellar material.
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Quantum Localization near Bifurcations in Classically Chaotic Systems
We show that strongly localized wave functions occur around classical bifurcations. Near a saddle node bifurcation the scaling of the
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Scaling function for self-avoiding polygons
Exactly solvable models of planar polygons, weighted by perimeter and area, have deepened our understanding of the critical behaviour of
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The prolate spheroidal phenomena and bispectrality
Landau, Pollak, Slepian, and Tracy, Widom discovered that certain integral operators with so called Bessel and Airy kernels possess commuting
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