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Concept

Modular curve

Related publications (24)

The unipotent mixing conjecture

Philippe Michel

We show that shifted pairs of discrete or continuous low-lying horocycles equidistribute in the product space of two modular curves. ...

Hebrew Univ Magnes Press2023

A short note on inadmissible coefficients of weight 2 and 2k+1 newforms

Let f(z)=q+∑n≥2a(n)qn be a weight k normalized newform with integer coefficients and trivial residual mod 2 Galois representation. We extend the results of Amir and Hong in Amir and Hong (On L-functions of modular elliptic curves and certain K3 surfaces, R ...

2021

Load bearing device

Corentin Jean Dominique Fivet, Jan Friedrich Georg Brütting, Dario Redaelli, Alex-Manuel Muresan

The present relates to a device being used in modular building construction comprising at least one flat load support comprising a first main face and a second main face, at least one elongated load support designed for being coupled with said flat load su ...

2021

3D Printed Motor-Sensory Module Prototype for Facial Rehabilitation

Jamie Paik, Amir Firouzeh, Matthew Aaron Robertson

This work demonstrates the first 3D printed wearable motor-sensory module prototype designed for facial rehabilitation, focusing on facial paralysis. The novelty of the work lies in the fast fabrication of the first fully soft working prototype, including ...

MARY ANN LIEBERT, INC2022

Image Matching Across Wide Baselines: From Paper to Practice

Pascal Fua, Kwang Moo Yi, Eduard Trulls Fortuny, Anastasiia Mishchuk

We introduce a comprehensive benchmark for local features and robust estimation algorithms, focusing on the downstream task-the accuracy of the reconstructed camera pose-as our primary metric. Our pipeline's modular structure allows easy integration, confi ...

2021

Fourier interpolation on the real line

Maryna Viazovska

In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set {0,+/- 1,+/- ...

2019

SU(4) topological resonating valence bond spin liquid on the square lattice

Olivier Clément Romain Gauthé

We generalize the construction of the spin-1/2 SU(2) resonating valence bond (RVB) state to the case of the self-conjugate 6 representation of SU(4). As for the case of SU(2) [J.-Y. Chen and D. Poilblanc, Phys. Rev. B 97, 161107(R) (2018)], we use the proj ...

2019

A modular low-complexity ECG delineation algorithm for real-time embedded systems

David Atienza Alonso, Francisco Javier Rincon Vallejos

This work presents a new modular and lowcomplexity algorithm for the delineation of the different ECG waves (QRS, P and T peaks, onsets and end). Involving a reduced number of operations per second and having a small memory footprint, this algorithm is int ...

2018

Elliptic curves over a finite field and the trace formula

Ian Nicholas Petrow

We prove formulas for power moments for point counts of elliptic curves over a finite field k such that the groups of k-points of the curves contain a chosen subgroup. These formulas express the moments in terms of traces of Hecke operators for certain con ...

Wiley2017

Colloidal nanocrystals for photoelectrochemical and photocatalytic water splitting

Raffaella Buonsanti, Anna Loiudice, Chethana Janardhana Gadiyar

Colloidal nanocrystals (NCs) are among the most modular and versatile nanomaterial platforms for studying emerging phenomena in different fields thanks to their superb compositional and morphological tunability. A promising, yet challenging, application in ...

2017

NEMo: An Evolutionary Model With Modularity for PPI Networks

Bernard Moret, Xiuwei Zhang, Min Ye

Modeling the evolution of biological networks is a major challenge. Biological networks are usually represented as graphs; evolutionary events not only include addition and removal of vertices and edges but also duplication of vertices and their associated ...

IEEE Press2017

Working Space – An innovative modular timber construction system for the sustainable vertical extension of office buildings

Emmanuel Rey, Sophie Lufkin, Aleksis Dind

Urban densification issues are one of the key challenges for most European cities. In this context, the vertical extension of existing buildings provides a solution to create usable spaces without wasting additional land. Little attention has been given to ...

2017

Models and Algorithms in Biological Network Evolution with Modularity

Min Ye

Networks are commonly used to represent key processes in biology; examples include transcriptional regulatory networks, protein-protein interaction (PPI) networks, metabolic networks, etc. Databases store many such networks, as graphs, observed or inferred ...

EPFL2017

Duke's theorem for subcollections

We combine effective mixing and Duke's theorem on closed geodesics on the modular surface to show that certain subcollections of the collection of geodesics with a given discriminant still equidistribute. These subcollections are only assumed to have suffi ...

Cambridge Univ Press2016

NEMo: An Evolutionary Model with Modularity for PPI Networks

Bernard Moret, Xiuwei Zhang, Min Ye

Modelling the evolution of biological networks is a major challenge. Biological networks are usually represented as graphs; evolutionary events include addition and removal of vertices and edges, but also duplication of vertices and their associated edges. ...

Springer Int Publishing Ag2016

Multiple Assembly Rules Drive the Co-occurrence of Orthopteran and Plant Species in Grasslands: Combining Network, Functional and Phylogenetic Approaches

François Gillet

Understanding the factors underlying the co-occurrence of multiple species remains a challenge in ecology. Biotic interactions, environmental filtering and neutral processes are among the main mechanisms evoked to explain species co-occurrence. However, th ...

Frontiers Media Sa2016

Computational Aspects of Jacobians of Hyperelliptic Curves

Alina Dudeanu

Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...

EPFL2016

Shimura Curves and Special Values of p-adic L-functions

Ernest Hunter Brooks

We construct "generalized Heegner cycles" on a variety fibered over a Shimura curve, defined over a number field. We show that their images under the p-adic Abel-Jacobi map coincide with the values (outside the range of interpolation) of a p-adic L-functio ...

Oxford University Press2015

TADDOL-based phosphorus(III)-ligands in enantioselective Pd(0)-catalysed C-H functionalisations

Nicolai Cramer, Julia Pedroni

Monodentate TADDOL-derived phosphoramidites and phosphonites are versatile chiral ligands for enantio-selective Pd(0)-catalysed C-H functionalisations. They enable highly selective cyclisations to access a wide range of chiral carbo-and heterocycles. The h ...

Royal Society of Chemistry2015

A Modular Approach to Learning Manipulation Strategies from Human Demonstration

Aude Billard, Miao Li, Ravin Luis De Souza

Object manipulation is a challenging task for robotics, as the physics involved in object interaction is com- plex and hard to express analytically. Here we introduce a modular approach for learning a manipulation strategy from human demonstration. Firstly ...

Springer Verlag2016