Publications related to Topics in number theory

L'intérieur radieux

Cette conférence vous amènera à (re)découvrir les multiples facettes de notre exposition à la lumière du jour, à travers l'angle de la recherche. De ses bienfaits physioloiques à la complexité de maîtriser l'éclairage naturel pour assurer notre confort, l' ...

2022

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

Nicolas Henri Bernard Flammarion

We consider the problem of sampling from a density of the form p(x) ? exp(-f (x) - g(x)), where f : Rd-+ R is a smooth function and g : R-d-+ R is a convex and Lipschitz function. We propose a new algorithm based on the Metropolis-Hastings framework. Under ...

MICROTOME PUBL2022

RE:situerUne structure narrative pour une nouvelle couche dans les espaces interstitiels d'un ensemble urbain à Bâle

Leonne-Zoë Vögelin

La pièce urbaine considérée se situe au centre de la ville de Bâle et se distingue de son contexte par son échelle, son utilisation et sa conception architecturale. Elle est un collage d’éléments représentatifs de son histoire. Ce projet ambitionne de crée ...

2022

Proximal Point Imitation Learning

Volkan Cevher, Luca Viano, Igor Krawczuk, Angeliki Kamoutsi

This work develops new algorithms with rigorous efficiency guarantees for infinite horizon imitation learning (IL) with linear function approximation without restrictive coherence assumptions. We begin with the minimax formulation of the problem and then o ...

2022

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

Malik Amir, Andreas Hatziiliou

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

A decomposition of multicorrelation sequences for commuting transformations along primes

Florian Karl Richter

A decomposition of multicorrelation sequences for commuting transformations along primes, Discrete Analysis 2021:4, 27 pp. Szemerédi's theorem asserts that for every positive integer

k

and every

\delta>0

there exists

n

such that every subset of ${1, ...

2021

A new elementary proof of the Prime Number Theorem

Florian Karl Richter

Let

\Omega(n)

denote the number of prime factors of

n

. We show that for any bounded

f\colon\mathbb{N}\to\mathbb{C}

one has [ \frac{1}{N}\sum_{n=1}^N, f(\Omega(n)+1)=\frac{1}{N}\sum_{n=1}^N, f(\Omega(n))+\mathrm{o}_{N\to\infty}(1). ] This yields a ...

2021

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

Luis Guillermo Villanueva Torrijo, Seniz Esra Küçük, Soumya Yandrapalli, Victor Plessky

Dispersion of A1 Lamb mode near onset frequency is discussed. This mode is close to that used in XBAR devices. The typically used approximation is based on elliptic form of slowness curve and ignoring mode interaction is not valid for widely used materials ...

IEEE2021

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod

Cakoni and Nguyen recently proposed very general conditions on the coefficients of Maxwell equations for which they established the discreten ess of the set of eigenvalues of the transmission problem and studied their locations. In this paper, we establish ...

2021

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems

Maryam Kamgarpour, Andreas Krause, Ilija Bogunovic

Motivated by applications in shared mobility, we address the problem of allocating a group of agents to a set of resources to maximize a cumulative welfare objective. We model the welfare obtainable from each resource as a monotone DR-submodular function w ...

PMLR2021

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L'intérieur radieux

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

RE:situerUne structure narrative pour une nouvelle couche dans les espaces interstitiels d'un ensemble urbain à Bâle

Proximal Point Imitation Learning

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

A decomposition of multicorrelation sequences for commuting transformations along primes

A new elementary proof of the Prime Number Theorem

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems

The completeness of the generalized eigenfunctions and an upper bound for the counting function of the transmission eigenvalue problem for Maxwell equations

An Efficient Sampling Algorithm for Non-smooth Composite Potentials

Proximal Point Imitation Learning

Resonance Frequency Dependence Of A1 Lamb Mode On The Pitch Of The Electrode Structure

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

RE:situerUne structure narrative pour une nouvelle couche dans les espaces interstitiels d'un ensemble urbain à Bâle

L'intérieur radieux

A decomposition of multicorrelation sequences for commuting transformations along primes

A new elementary proof of the Prime Number Theorem

Online Submodular Resource Allocation with Applications to Rebalancing Shared Mobility Systems