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We use the moduli matrix approach to study the moduli space of 1/4 BPS kinks supported by vortices in the Higgs phase of N = 2 supersymmetric U(N) gauge theories when non-zero masses for the matter hy...
A new characterization of Carmichael numbers via a generalization of Lehmer's totient problem
new characterization Carmichael numbers generalization of Lehmer's totient problem
2011/1/20
Lehmer’s totient problem consists of determining the set of positive integers n such that '(n)|n − 1 where ' is Euler’s totient function. Any such composite number is a Carmichael number.
Recently Simmons and Cardy predicted a formula for the prob-ability that the chordal SLE8/3 path passes to the left of two points in the upper half-plane. The purpose of this note is to bring it to at...
An analysis of the field theoretic approach to the quasi-continuum method
analysis of the field theoretic quasi-continuum method
2011/1/20
Using the orbital-free density functional theory as a model theory, we present an analysis of the field theoretic approach to quasi-continuum method. In particular,by perturbation method and multiple ...
The quasi-periodic doubling cascade in the transition to weak turbulence
Transition to turbulence torus bifurcation
2011/3/3
The quasi-periodic doubling cascade is shown to occur in the transition from regular to weakly turbulent behaviour in simulations of incompressible Navier-Stokes flow on a three-periodic domain.
A new problem formulation is presented for the Gaussian interference channels (GIFC) with two
pairs of users, which are distinguished as primary users and secondary users, respectively. The primary u...
It is easy to see that no n-REA set can form a (non-trivial) min-imal pair with 00 and only slightly more dicult to observe that no !-REA set can form a (non-trivial) minimal pair with 000.
This short text is for readers who are confident in basic category theory but know little or nothing about toposes. It is based on some impromptu talks given to a small group of category theorists. I ...
Note on harmonic sums and alternating Euler sums
Harmonic sums Alternating Euler sums Multiple zeta values
2011/2/25
The explicit formulas expressing harmonic sums via alternating Euler sums (colored multiple zeta values) are given, and some explicit evaluations are given as applications.
Together with the concept of reversibility, another relevant physical notion is time-symmetry, which expresses that there is no way of distinguishing between backward and forward time directions. This...
Sur la densité des représentations cristallines du groupe de Galois absolu de Q_p
Sur la densité des représentations cristallines du groupe de Galois absolu de Q_p
2011/1/21
Let Xd be the p-adic analytic space classifying the semisimple continuous representations Gal(Qp/Qp) → GLd(Qp). We show that the crystalline representations are Zarski-dense in many irreducible compon...
Quantum Coulomb Gases
2011/2/25
Ordinarymatter is composed of electrons (negatively charged) and nuclei (positively charged) interacting via electromagnetic forces. The electric potential between two such particles of charges Q and ...
Alexandrov meets Kirszbraun
Alexandrov Kirszbraun
2011/2/28
We give a simplified proof of the generalized Kirszbraun theorem for Alexandrov spaces, which is due to Lang and Schroeder. We also discuss related questions, both solved and open.
Some Properties of an Infinite Family of Deformations of the Harmonic Oscillator
quantum Hamiltonians superintegrability exchange operators supersymmetry
2011/2/21
In memory of Marcos Moshinsky, who promoted the algebraic study of the har-monic oscillator, some results recently obtained on an infinite family of deformations of such a system are reviewed.
Rigid characterizations of pseudoconvex domains
pseudoconvex domain (weakly) linearly convex domain
2011/3/1
We prove that an open set D in Cn is pseudoconvex if and only if for any z ∈ D the largest balanced domain centered at z and contained in D is pseudoconvex, and consider analogues of that characteriza...