Homogenization of the Eigenvalues of the Neumann–Poincaré Operator
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-019-01402-8
Abstract: In this article, we investigate the spectrum of the Neumann–Poincaré operator $${{\mathcal {K}}}_\varepsilon ^*$$Kε∗ (or equivalently, that of the associated Poincaré variational operator $$T_\varepsilon $$Tε) associated to a periodic distribution of small inclusions with size… read more here.
Keywords: varepsilon; homogenization; neumann poincar; poincar operator ... See more keywords
On Traffic Flow with Nonlocal Flux: A Relaxation Representation
Sign Up to like & getrecommendations! Published in 2019 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-020-01529-z
Abstract: We consider a conservation law model of traffic flow, where the velocity of each car depends on a weighted average of the traffic density $$\rho $$ ρ ahead. The averaging kernel is of exponential type:… read more here.
Keywords: rho; relaxation; varepsilon; traffic ... See more keywords
Perturbation Theory for Almost-Periodic Potentials I: One-Dimensional Case
Sign Up to like & getrecommendations! Published in 2019 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-019-03329-3
Abstract: We consider the family of operators $${H^{(\varepsilon)}:=-\frac{d^2}{dx^2}+\varepsilon V}$$H(ε):=-d2dx2+εV in $${\mathbb{R}}$$R with almost-periodic potential V. We study the behaviour of the integrated density of states (IDS) $${N(H^{(\varepsilon)};\lambda)}$$N(H(ε);λ) when $${\varepsilon\to 0}$$ε→0 and $${\lambda}$$λ is a fixed energy.… read more here.
Keywords: theory almost; varepsilon; perturbation theory; almost periodic ... See more keywords
Scaling exponents of step-reinforced random walks
Sign Up to like & getrecommendations! Published in 2020 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-020-01008-2
Abstract: Let $$X_1, X_2, \ldots $$ X 1 , X 2 , … be i.i.d. copies of some real random variable X . For any deterministic $$\varepsilon _2, \varepsilon _3, \ldots $$ ε 2 , ε… read more here.
Keywords: reinforced random; random walks; scaling exponents; exponents step ... See more keywords
Optimal Approximation Algorithms for Maximum Distance-Bounded Subgraph Problems
Sign Up to like & getrecommendations! Published in 2017 at "Algorithmica"
DOI: 10.1007/s00453-017-0344-y
Abstract: In this paper we study the (in)approximability of two distance-based relaxed variants of the maximum clique problem (Max Clique), named Maxd-Clique and Maxd-Club: A d-clique in a graph $$G = (V, E)$$G=(V,E) is a subset… read more here.
Keywords: club; max clique; clique; varepsilon ... See more keywords
Robust vertex enumeration for convex hulls in high dimensions
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Operations Research"
DOI: 10.1007/s10479-020-03557-0
Abstract: The problem of computing the vertices of the convex hull of a given input set $$S= \{v_i \in \mathbb {R} ^m: i=1, \dots , n\}$$ S = { v i ∈ R m : i… read more here.
Keywords: varepsilon; overline varepsilon; gamma; avta computes ... See more keywords
Laplace series for the level ellipsoid of revolution
Sign Up to like & getrecommendations! Published in 2018 at "Celestial Mechanics and Dynamical Astronomy"
DOI: 10.1007/s10569-018-9851-7
Abstract: The outer gravitational potential V of the level ellipsoid of revolution T is uniquely determined by two quantities: the eccentricity $$\varepsilon $$ε of the ellipsoid and Clairaut parameter q, proportional to the angular velocity of… read more here.
Keywords: varepsilon; level; revolution; laplace series ... See more keywords
Condition Spectrum of Rank One Operators and Preservers of the Condition Spectrum of Skew Product of Operators
Sign Up to like & getrecommendations! Published in 2020 at "Complex Analysis and Operator Theory"
DOI: 10.1007/s11785-020-01028-9
Abstract: Let $${\mathscr {L}}({\mathscr {H}})$$ be the algebra of all bounded linear operators on a complex Hilbert space $${\mathscr {H}}$$ with $$\dim {\mathscr {H}}\ge 3$$ , and let $$\mathscr {A} $$ and $$\mathscr {B}$$ be two… read more here.
Keywords: varepsilon; condition spectrum; rank one; mathscr ... See more keywords
Maximum Number of Limit Cycles for Generalized Kukles Polynomial Differential Systems
Sign Up to like & getrecommendations! Published in 2019 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-016-0300-3
Abstract: We study the maximum number of limit cycles of the polynomial differential systems of the form $$\begin{aligned} \dot{x}=-y+l(x), \,\dot{y}=x-f(x)-g(x)y-h(x)y^{2}-d_{0}y^{3}, \end{aligned}$$x˙=-y+l(x),y˙=x-f(x)-g(x)y-h(x)y2-d0y3,where $$l(x)=\varepsilon l^{1}(x)+\varepsilon ^{2}l^{2}(x),$$l(x)=εl1(x)+ε2l2(x),$$f(x)=\varepsilon f^{1}(x)+\varepsilon ^{2}f^{2}(x),$$f(x)=εf1(x)+ε2f2(x),$$g(x)=\varepsilon g^{1}(x)+\varepsilon ^{2}g^{2}(x),$$g(x)=εg1(x)+ε2g2(x),$$h(x)=\varepsilon h^{1}(x)+\varepsilon ^{2}h^{2}(x)$$h(x)=εh1(x)+ε2h2(x) and $$d_{0}=\varepsilon d_{0}^{1}+\varepsilon ^{2}d_{0}^{2}$$d0=εd01+ε2d02 where $$l^{k}(x),$$lk(x),$$f^{k}(x),$$fk(x),$$g^{k}(x)$$gk(x)… read more here.
Keywords: number; maximum number; number limit; limit cycles ... See more keywords
Nonlinear Sliding of Discontinuous Vector Fields and Singular Perturbation
Sign Up to like & getrecommendations! Published in 2018 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-018-0439-1
Abstract: We consider piecewise smooth vector fields (PSVF) defined in open sets $$M\subseteq \mathbb {R}^n$$M⊆Rn with switching manifold being a smooth surface $$\Sigma $$Σ. We assume that $$M{\setminus }\Sigma $$M\Σ contains exactly two connected regions, namely… read more here.
Keywords: varepsilon; sigma; singular perturbation; regularization ... See more keywords
A Potential Reduction Algorithm for Two-Person Zero-Sum Mean Payoff Stochastic Games
Sign Up to like & getrecommendations! Published in 2018 at "Dynamic Games and Applications"
DOI: 10.1007/s13235-016-0199-x
Abstract: We suggest a new algorithm for two-person zero-sum undiscounted stochastic games focusing on stationary strategies. Given a positive real $$\varepsilon $$ε, let us call a stochastic game $$\varepsilon $$ε-ergodic, if its values from any two… read more here.
Keywords: game; varepsilon; stochastic games; stationary strategies ... See more keywords