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Tightness of the recentered maximum of the two-dimensional discrete Gaussian Free Field
recentered maximum two-dimensional discrete Gaussian Free Field
2010/12/8
We consider the maximum of the discrete two dimensional Gaussian free field (GFF) in a box, and prove that its maximum, centered at its mean, is tight, settling a long–standing conjecture. The proof c...
Crossovers induced by discrete-time quantum walks
Crossovers induced discrete-time quantum walks
2010/12/15
We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and
continuous-time ...
We consider crossovers with respect to the weak convergence theorems from a discrete-time quan-
tum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and continuous-time r...
Charge conjugation from space-time inversion in QED: discrete and continuous groups
CPT groups space-time inversion Lorentz and Poincar´ e groups
2010/11/29
We show that the CPT groups of QED emerge naturally from the PT and P (or T )subgroups of the Lorentz group. We also find relationships between these discrete groups and continuous groups, like the co...
Exponential decay of dispersion managed solitons for vanishing average dispersion
Gabitov-Turitsyn equation dispersion managed NLS exponential decay
2010/12/8
We show that any L2 solution of the Gabitov-Turitsyn equation de-scribing dispersion managed solitons decay exponentially in space and frequency domains. This confirms in the affirmative Lushnikov’s c...
Discrete holomorphic parafermions in the Ashkin-Teller model and SLE
Discrete holomorphic parafermions Ashkin-Teller model SLE
2010/12/15
We find discrete holomorphic parafermions of the Ashkin-Teller model on the critical line, by mapping appropriate interfaces of the model to the O(n = 1) model. We give support to the conjecture that ...
Rational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$
Rational points algebraic varieties of Hodge type $\geq 1$
2010/11/26
Let R be a discrete valuation ring of mixed characteristics (0, p), with finite residue field k and fraction field K, let k′ be a finite extension of k, and let X be a regular, proper and flat R-schem...
Global existence of solutions for some coupled systems of reaction-diffusion equations
Reaction-Diffusion systems Global Existence Lyapunov Functional
2010/12/14
The aim of this work is to study the global existence of solutions for some coupled systems of reaction diffusion which describe the spread within a population of infectious disease. We consider a tri...
The optimal unitary dilation for bosonic Gaussian channels
optimal unitary dilation bosonic Gaussian channels
2010/12/15
A generic quantum channel can be represented in terms of a unitary interaction between the informationcarrying system and a noisy environment.
Discrete Nonlinear Schrodinger Equation, Solitons and Organizing Principles for Protein Folding
Discrete Nonlinear Schrodinger Equation Solitons Organizing Principles Protein Folding
2010/12/15
We introduce a novel generalization of the discrete nonlinear Schrodinger equation. It supports solitons that describe how proteins fold. As an example we scrutinize the villin headpiece HP35,an arch...
Defect Modes and Homogenization of Periodic Schrödinger Operators
Defect Modes Homogenization of Periodic Schrö dinger Operators
2010/11/30
Defect Modes and Homogenization of Periodic Schrödinger Operators.
Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Two-component {CH} system Inverse Scattering Peakons and Geometry
2010/12/16
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equa-tion. As an illustration of the ...
Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus
Discrete fractional calculus Delta and nabla operators Convex linear combination
2010/12/9
We introduce a more general discrete fractional operator, given by convex linear combination of the delta and nabla fractional sums. Fundamental properties of the new fractional operator are proved. A...
Discrete integrable systems, positivity, and continued fraction rearrangements
cluster algebras Laurent phenomenon positivity integrable systems
2010/12/3
In this review article, we present a unified approach to solving discrete,integrable, possibly non-commutative, dynamical systems, including the Qand T-systems based on Ar.
Electromagnetic wave scattering by many small particles and creating materials with a desired permeability
electromagnetic waves wave scattering by many small bodies
2010/12/15
Scattering of electromagnetic (EM) waves by many small particles (bodies) embedded in a homogeneous medium is studied. Physical properties of the particles are described by their boundary impedances.
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