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20062026
most citedSpatial beam self-cleaning in multimode fiber

592 citations

Showing 2015Show all

15 papers · 1 filter

math.OC2015★ 17 cited

Pontryagin maximum principle for optimal sampled-data control problems

Loïc Bourdin, Emmanuel Trélat

In this short communication, we first recall a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. This resu…

math.OC2015★ 10 cited

Perturbation of error bounds

A. Y. Kruger, M. A. López, M. A. Théra

Our aim in the current article is to extend the developments in Kruger, Ngai & Théra, SIAM J. Optim. 20(6), 3280-3296 (2010) and, more precisely, to characterize, in the Banach spa…

cs.SC2015

Formal Solutions of Completely Integrable Pfaffian Systems With Normal Crossings

Moulay A. Barkatou, Maximilian Jaroschek, Suzy S. Maddah

In this paper, we present an algorithm for computing a fundamental matrix of formal solutions of completely integrable Pfaffian systems with normal crossings in several variables.…

math.OC2015

On Extended Versions of Dancs- Hegedüs-Medvegyev's Fixed Point Theorem

Truong Bao, Michel Thera

In this article we establish some fixed point (known also as critical point, invariant point) theorems in quasi-metric spaces. Our results unify and further extend in some regards…

math-ph2015★ 15 cited

Diagonals of rational functions and selected differential Galois groups

A. Bostan, S. Boukraa, J-M. Maillard +1

We recall that diagonals of rational functions naturally occur in lattice statistical mechanics and enumerative combinatorics. In all the examples emerging from physics, the minima…

physics.atom-ph2015★ 9 cited

Ground-state atomic polarization relaxation-time measurement of Rb filled hypocycloidal core-shaped Kagome HC-PCF

T. D. Bradley, E. Ilinova, J. J. McFerran +6

We report on the measurement of ground state atomic polarization relaxation tile of Rb vapor confined in five different hypocycloidal core shape Kagome hollow core photonic crystal…