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Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Existence and Uniqueness of Optimal Matrix Scalings
diagonal similarity scalings scaled singular value minimization irreducible matrices
2015/7/13
We show that the set of diagonal similarity scalings that minimize the scaled singular value of a matrix is nonempty and bounded if and only if the matrix that is being scaled is irreducible. For an i...
Discrete solitons and vortices in hexagonal and honeycomb lattices: Existence, stability, and dynamics
Dynamic lattice model lattice geometries nonlinear schrodinger equation
2014/12/25
We consider a prototypical dynamical lattice model, namely, the discrete nonlinear Schrödinger equation on nonsquare lattice geometries. We present a systematic classification of the solutions th...
Existence, Stability, and Dynamics of Bright Vortices in the Cubic-Quintic Nonlinear Schr¨odinger Equation
Eddy current stable coupling two-dimensional whirlpool coupling whirlpool
2014/12/24
We study the existence and azimuthal modulational stability of vortices in the two-dimensional (2D) cubic-quintic nonlinear Schr¨odinger (CQNLS) equation. We use a variational approximation (VA) based...
Existence and stability of multisite breathers in honeycomb and hexagonal lattices
Discrete respirator non-square klein Gordon coupling two vortex breath whirlpool hexagonal lattice
2014/12/24
We study the existence and stability of multisite discrete breathers in two prototypical non-square Klein–Gordon lattices, namely a honeycomb and a hexagonal one. In the honeycomb case we consider six...
On the Existence of the MLE for a Directed Random Graph Network Model with Reciprocation
Algebraic statistics Dyadic independence Exponential random graph model
2010/10/14
Holland and Leinhardt (1981) proposed a directed random graph model, the p1 model, to describe dyadic interactions in a social network. In previous work (Petrovic et al., 2010), we studied the algebra...
Existence of optimal policies in stochastic dynamic programing
Existence of optimal policies stochastic dynamic programing
2009/9/24
Existence of optimal policies in stochastic dynamic programing。
Existence theorem and Wong-Zakai approximations for multivalued stochastic differential equations
Existence theorem Wong-Zakai approximations multivalued stochastic differential equations
2009/9/22
We consider finite-dimensional multivalued stochastic
differential equations where the drift has a multivalued and monotone
term. Existence and approximation results are obtained by an existence
th...
Existence and non-existence of solutions of one-dimensional stochastic equations
Stochastic equations continuous local martingales non-existence local time
2009/9/22
We consider the one-dimensional stochastic equation
for a continuous local martingale M with square variation {M) and
measurable drift and diffusion coefficients b and F. The main purpose
of this p...
On the existence of moments of stopped sums in Markov renewal theory
Markov random walk stopped sum Harris recurrence regeneration epoch drift condition
2009/9/21
Let (M,),,,be an ergodic Markov chain on a general
state space X with stationary distribution n and g: X + [0, m) a meadef
surable function. D&e So (g) = 0 and S,(g) g (MI+). . .+g(M.)
for n 3 1. ...
The existence of the effective diffusivity tensor for diffusions with incompressible mixing drifts
Random field diffusions in random media mixing
2009/9/21
In the present article we consider a model of motion of
a passive tracer particle under a random, non-steady (time dependent),
incompressible velocity flow in a medium with positive molecular diffus...
The existence of a steady state for perturbed symmetric random walk on a random lattice
Random field passive tracer random walk in random environment Einstein relation
2009/9/21
In the present paper we consider a continuous time
random walk on an anisotropic random lattice. We show the existence
of a steady state 0, for the environment process (( (t)),ao corresponding
to t...
Existence and Regularity of Solutions to a Stochastic Burgers-Type Equation
Existence Regularity a Stochastic Burgers-Type Equation
2009/9/17
Existence and Regularity of Solutions to a Stochastic Burgers-Type Equation。
The Stochastic Heat Equation with Fractional-Colored Noise:Existence of the Solution
Stochastic heat equation Gaussian noise stochastic integral fractional Brownian motion spatial covariance function
2009/6/12
The Stochastic Heat Equation with Fractional-Colored Noise:Existence of the Solution.
Existence and spatial limit theorems for lattice and continuum particle systems
Interacting particle system functional central limit theorem point process
2009/5/18
We give a general existence result for interacting particle systems with local interactions and bounded jump rates but noncompact state space at each site. We allow for jump events at a site that affe...