Results 31 to 40 of about 652 (179)

A discrete analogue for Minkowski's second theorem on successive minima

, 2010
The main result of this paper is an inequality relating the lattice point enumerator of a 3-dimensional, 0-symmetric convex body and its successive minima.
Malikiosis, Romanos
core   +1 more source

Ricci-flat Metrics with U(1) Action and the Dirichlet Boundary-value Problem in Riemannian Quantum Gravity and Isoperimetric Inequalities [PDF]

, 2003
The Dirichlet boundary-value problem and isoperimetric inequalities for positive definite regular solutions of the vacuum Einstein equations are studied in arbitrary dimensions for the class of metrics with boundaries admitting a U(1) action.
Akbar M M, Akbar M M, Awad A, Bailey W N, Barnard S, Belardinelli G, Birkeland R, Braden H W, Brown J D, Bérard-Bergery L, Calabi E, Charap J M, Cotsakis S, Eagle A, Eguchi T, Freedman D Z, G W Gibbons, Gibbons G W, Gibbons G W, Gross D J, Hilbert D, M M Akbar, Myers R C, Page D N, Regge T, Reilly R C, Slater L J, Taylor-Robinson M M, York J W, York J W   +29 more
core   +2 more sources

Risk‐aware safe reinforcement learning for control of stochastic linear systems

Asian Journal of Control, EarlyView.
Abstract This paper presents a risk‐aware safe reinforcement learning (RL) control design for stochastic discrete‐time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk‐informed safe controller is also learned besides the RL controller, and the RL and safe controllers are combined together ...
Babak Esmaeili, Nariman Niknejad, Hamidreza Modares   +2 more
wiley   +1 more source

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Minkowski Inequality in Cartan–Hadamard Manifolds

International Mathematics Research Notices, 2023
Abstract Using harmonic mean curvature flow, we establish a sharp Minkowski-type lower bound for total mean curvature of convex surfaces with a given area in Cartan-Hadamard $3$-manifolds. This inequality also improves the known estimates for total mean curvature in hyperbolic $3$-space.
Ghomi, Mohammad, Spruck, Joel
openaire   +2 more sources

The Hölder and Minkowski Inequalities Utilizing a Fractional Operator Involvement of Pseudo-Operator [PDF]

Sahand Communications in Mathematical Analysis
A generalized integral operator of order $\alpha$ of a real function $f$  including a parameter set $P$, namely $K_P^\alpha f(t)$ has been introduced by O. P.
Hadiseh Fallah Andevari, Azizollah Babakhani, Daniela Oliveira   +2 more
doaj   +1 more source

Long‐Time Solvability and Asymptotics for the 3D Rotating MHD Equations

Mathematische Nachrichten, EarlyView.
ABSTRACT We consider the initial value problem for the 3D incompressible rotating MHD equations around a constant magnetic field. We prove the long‐time existence and uniqueness of solutions for small viscosity coefficient and high rotating speed. Moreover, we investigate the asymptotic behavior of solutions in the limit of vanishing viscosity and fast
Hiroki Ohyama
wiley   +1 more source

On Isoperimetric Inequalities in Minkowski Spaces [PDF]

Journal of Inequalities and Applications, 2010
This paper gives a collection of isoperimetric-type inequalities involving convex bodies, their intersection and projection bodies, polars and Steiner symmetrals, and states some conjectures and open questions. It is shown how some of these inequalities are related to classic isoperimetric problems in Minkowski geometry.
Mustafaev Zokhrab, Martini Horst
openaire   +4 more sources

Random Clarkson inequalities and LP version of Grothendieck' s inequality [PDF]

, 1985
In a recent paper Kato [3] used the Littlewood matrices to generalise Clarkson's inequalities. Our first aim is to indicate how Kato's result can be deduced from a neglected version of the Hausdorff-Young inequality which was proved by Wells and ...
Tonge, A
core  

Variable Ranges in Linear Constraints [PDF]

, 2010
We introduce an extension of linear constraints, called linearrange constraints, which allows for (meta-)reasoning about the approximation width of variables. Semantics for linearrange constraints is provided in terms of parameterized linear systems.
Fred Mesnard, Salvatore Ruggieri
core   +2 more sources