Concept

Archimedean property

Related publications (9)

BPS invariants from p-adic integrals

Dimitri Stelio Wyss, Francesca Carocci, Giulio Orecchia

We define p-adic BPS or pBPS invariants for moduli spaces M-beta,M-chi of one-dimensional sheaves on del Pezzo and K3 surfaces by means of integration over a non-archimedean local field F. Our definition relies on a canonical measure mu can on the F-analyt ...

Cambridge Univ Press2024

Role of electric currents in the Fano resonances of connected plasmonic structures

Olivier Martin, Marco Riccardi

In this work, we use finite elements simulations to study the far field properties of two plasmonic structures, namely a dipole antenna and a cylinder dimer, connected to a pair of nanorods. We show that electrical, rather than near field, coupling between ...

2021

The Bounded Cohomology of SL2 Over Local Fields and S-Integers

Nicolas Monod

It is proved that the continuous bounded cohomology of SL2(k) vanishes in all positive degrees whenever k is a non-Archimedean local field. This holds more generally for boundary-transitive groups of tree automorphisms and implies low degree vanishing for ...

OXFORD UNIV PRESS2019

Polarisation charges and scattering behaviour of realistically rounded plasmonic nanostructures

Olivier Martin

We study the effect of realistically rounding nanorod antennae and gap antennae on their far field and near field properties. The simulations show that both scattering behaviour and polarisation charge distribution depend significantly on rounding. Roundin ...

Optical Society of America2013

Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3O6.67

Joël Mesot, Johan Juul Chang

Superconductivity often emerges in the proximity of, or in competition with, symmetry-breaking ground states such as antiferromagnetism or charge density waves(1-5) (CDW). A number of materials in the cuprate family, which includes the high transition-temp ...

Nature Publishing Group2012

Relation between near–field and far–field properties of plasmonic Fano resonances

Olivier Martin, Benjamin Gallinet

The relation between the near–field and far–field properties of plasmonic nanostructures that exhibit Fano resonances is investigated in detail. We show that specific features visible in the asymmetric lineshape far–field response of such structures origin ...

Optical Society of America2011

Competition of Wireless Providers for Atomic Users: Equilibrium and Social Optimality

Bixio Rimoldi, Vojislav Gajic

We study a problem where wireless service providers compete for heterogenous and atomic (non-infinitesimal) wireless users. The users differ in their utility functions as well as in the perceived quality of service of individual providers. We model the int ...

2009

Optimal weights of evidence with bounded influence

Stephan Morgenthaler, Robert Staudte

A fundamental statistical problem is to indicate which of two hypotheses is better supported by the data. Statistics designed for this purpose are called weight of evidence. In this paper we study the problem of robust weights of evidence, optimal in their ...

2002

SymROP: ROP protein with identical helices redesigned by all-atom contact analysis and molecular dynamics

Experience has shown that protein redesigns (using the backbone from a known protein structure) are far more likely to produce well-ordered, native-like structures than are true de novo designs. Therefore, to design a four-helix bundle made of identical sh ...

2000

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