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Vacuum stability, string density of states and the Riemann zeta function
Vacuum stability string density of states Riemann zeta function
2011/3/3
We study the distribution of graded degrees of freedom in classically stable oriented closed string vacua and use the Rankin-Selberg transform to link it to the nite one-loop vacuum energy.
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
Construction of homogeneous Lagrangian submanifolds in $\CP^n$ and Hamiltonian stability
Lagrangian submanifolds Hamiltonian stability
2010/11/19
We apply the concept of castling transform of prehomogeneous vector spaces to produce new examples of minimal homogeneous Lagrangian submanifolds in the complex projective space. Furthermore we verify...
On the Stability and the Approximation of Branching Distribution Flows, with Applications to Nonlinear Multiple Target Filtering
Measure-valued equations nonlinear multi-target filtering Bernoulli filter
2010/12/3
We analyse the exponential stability properties of a class of measure-valued equations arising in nonlinear multi-target filtering problems. We also prove the uniform convergence properties w.r.t. the...
Stability of Strongly Gauduchon Manifolds under Modifications
Stability Strongly Gauduchon Manifolds Modifications
2010/12/14
In our previous works on deformation limits of projective and Moishezon manifolds, we introduced and made crucial use of the notion of strongly Gauduchon metrics as a reinforcement of the earlier noti...
Asymptotic stability of solutions to abstract differential equations
Nonlinear inequality Asymptotic stability Abstract differential equations
2010/12/15
An evolution problem for abstract differential equations is studied. The typical problem is:
˙ u = A(t)u+F(t,u), t ≥ 0; u(0) = u0; ˙ u =du dt ∗)Here A(t) is a linear bounded operator in a Hilbe...
Stability of a Generalized Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation
Additive function Quadratic function Cubic function Quartic function Generalized Hyers-Ulam-Rassias stability Ulam-Gavruta-Rassias stability J.M. Rassias stability
2010/4/16
In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability of the generalized mixed type of functional equation for fixed integers with ![]()
Spectrum Stability of an Elliptic Operator to Domain Perturbations
Domain perturbation eigenvalue elliptic operator shape continuity
2009/1/22
This paper raises the question of the stability of the full spectrum of an elliptic operator in divergence form (with homogeneous Dirichlet boundary conditions) with respect to domain perturbations w...
Stability of Functional Equations in Several Variables
stability functional equation Jordan homomorphism Lie homomorphism
2007/12/11
We prove a generalization of Hyers' theorem on the stability of approximately additive mapping and a generalization of Badora's theorem on an approximate ring homomorphism. We also obtain a more gener...
The Generalized Hyers--Ulam--Rassias Stability of a Cubic Functional Equation
Hyers--Ulam--Rassias stability Quadratic function Cubic function
2010/2/26
In this paper, we obtain the general solution and the generalized Hyers--Ulam--Rassias stability for a cubic functional equation f(mx+y)+f(mx-y)=mf(x+y)+mf(x-y)+2(m3-m)f(x) for a positive integer m \g...