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Concept

Fundamental pair of periods

Related publications (18)

Emergent nonlinear dynamics in photonic lattices

Aleksandr Tusnin

Since the discovery of dissipative Kerr solitons in optical microresonators, significant progress has been made in the understanding of the underlying physical principles from the fundamental side and generation of broadband coherent optical Kerr frequency ...

EPFL2024

Relative plus constructions

Jérôme Scherer

Let h be a connective homology theory. We construct a functorial relative plus construction as a Bousfield localization functor in the category of maps of spaces. It allows us to associate to a pair (X,H), consisting of a connected space X and an hperfect ...

2023

Towards an artificial cell: Development of a system which self-regenerates the protein components of the PURE system in microfluidic reactors

Barbora Lavickova

Thanks to recent advancements in synthetic biology, the dream of creating a synthetic cell has become feasible. However, due to its inherent complexity, one of the fundamental functions of all living systems, i.e., self-replication, remains to be introduce ...

EPFL2021

Low-Power and Wide-Tuning Range Frequency Generation for FMCW Radars in Advanced CMOS Technologies

Francesco Chicco

Nowadays, the internet of things (IoT) nodes have started to spread in various domains of our society, from the industrial to the domestic environment. The remote sensing is one among their fundamental functions. The implementation of a radio detection and ...

EPFL2021

A partially self-regenerating synthetic cell

Sebastian Maerkl, Barbora Lavickova, Nadanai Laohakunakorn

Self-regeneration is a fundamental function of all living systems. Here we demonstrate partial molecular self-regeneration in a synthetic cell. By implementing a minimal transcription-translation system within microfluidic reactors, the system is able to r ...

Nature Research2020

On the fundamental domain of affine Springer fibers

Zongbin Chen

Let G be a connected reductive algebraic group over an algebraically closed field k,gamma is an element of g( k(( epsilon ))) a semisimple regular element, we introduce a fundamental domain F gamma for the affine Springer fibers X gamma. We show that the p ...

Springer Heidelberg2017

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Yohan Cédric Loup Brunebarbe

A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic m ...

Independent Univ Moscow-Ium2016

The fundamental plane of EDisCS galaxies The effect of size evolution (vol 524, A6, 2010)

Pascale Jablonka

We discovered a mistake in Eqs. (7) and (10) of Saglia et al. (2010, A&A, 524, A6), which propagates to Tables 8 and 9 and Fig. 25. We revise the tables, the figure and the affected statements in the paper. As a result, the reduction in the luminosity evol ...

Edp Sciences S A2016

Aggregation of Power Capabilities of Heterogeneous Resources for Real-Time Control of Power Grids

Mario Paolone, Jean-Yves Le Boudec, Lorenzo Enrique Reyes Chamorro, Andrey Bernstein, Wajeb Saab

Aggregation of electric resources is a fundamental function for the operation of power grids at different time scales. In the context of a recently proposed framework for the real-time control of microgrids with explicit power setpoints, we define and form ...

Università degli Studi di Genova, Italy2016

Mitochondrial unfolded protein response, its molecular mechanism and physiological impact

Virginija Jovaisaite

Mitochondria are the main producers of ATP, the energy currency of the cell, and they perform a wide array of other fundamental functions. These organelles are essential not only for cellular metabolism, but also for organismal physiology and lifespan. A r ...

EPFL2016

The mitochondrial unfolded protein response, a conserved stress response pathway with implications in health and disease

Johan Auwerx, Laurent Mouchiroud, Virginija Jovaisaite

The ability to respond to various intracellular and/or extracellular stresses allows the organism to adapt to changing environmental conditions and drives evolution. It is now well accepted that a progressive decline of the efficiency of stress response pa ...

Company of Biologists2014

Tunneling and Occupancy Probabilities: How Do They Affect Tunnel-FET Behavior?

Mihai Adrian Ionescu, Kirsten Emilie Moselund, Luca De Michielis, Livio Lattanzio, Heike Riel

In this letter, the occupancy and tunneling probabilities of interband tunneling devices are studied, pointing out the fundamental function of the source Fermi-Dirac distribution. Particularly, the reason for the degraded subthreshold swing, which is typic ...

Institute of Electrical and Electronics Engineers2013

Computational Approach to the Geometry of Compact Riemann Surfaces

Manuel Racle

The goal of this document is to provide a generalmethod for the computational approach to the topology and geometry of compact Riemann surfaces. The approach is inspired by the paradigms of object oriented programming. Our methods allow us in particular to ...

EPFL2013

Equivariant K-theory of GKM bundles

Silvia Sabatini

Given a fiber bundle of GKM spaces, pi: M -> B, we analyze the structure of the equivariant K-ring of M as a module over the equivariant K-ring of B by translating the fiber bundle, pi, into a fiber bundle of GKM graphs and constructing, by combinatorial t ...

Springer Netherlands2013

Arithmetic harmonic analysis on character and quiver Varieties II

Tamás Hausel

We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert schemes on C-x x C-x, modular forms and multiplicities in tensor products o ...

Elsevier2013

Categorical Foundations for K-theory

Nicolas Mathieu Michel

K-Theory was originally defined by Grothendieck as a contravariant functor from a subcategory of schemes to abelian groups, known today as K0. The same kind of construction was then applied to other fields of mathematics, like spaces and (not necessarily c ...

EPFL2010

Trace coordinates of Teichmüller spaces of Riemann surfaces

Thomas Gauglhofer

Using an algebraic formalism based on matrices in SL(2,R), we explicitly give the Teichmüller spaces of Riemann surfaces of signature (0,4) (X pieces), (1,2) ("Fish" pieces) and (2,0) in trace coordinates. The approach, based upon gluing together two build ...

EPFL2006