Publications related to Rigour

On the Soil-Structure Interaction of Surface Strip Footings at Ultimate Limit State

Theoretical methods for estimating the bearing capacity of surface strip footings usually do not consider soil-structure interaction. A few publications deal with the subject, but all of these either do not apply rigorous methods or do not consider the gen ...

ISSMGE2018

MATHICSE Technical Report : An algebraic least squares reduced basis method for the solution of parametrized Stokes equations

Alfio Quarteroni, Simone Deparis, Andrea Manzoni, Niccolò Dal Santo

In this paper we propose a new, purely algebraic, Petrov-Galerkin reduced basis (RB) method to solve the parametrized Stokes equations, where parameters serve to identify the (variable) domain geometry. Our method is obtained as an algebraic least squares ...

MATHICSE2018

Localized orthogonal decomposition method for the wave equation with a continuum of scales

Assyr Abdulle, Patrick Henning

In this paper we propose and analyze a new multiscale method for the wave equation. The proposed method does not require any assumptions on space regularity or scale-separation and it is formulated in the framework of the Localized Orthogonal Decomposition ...

American Mathematical Society2017

A Low-Power Correlator for Wakeup Receivers with Algorithm Pruning through Early Termination

Andreas Peter Burg, Adam Shmuel Teman, Reza Ghanaatian Jahromi, Jeremy Hugues-Felix Constantin

A low-complexity, low-power digital correlator for wakeup receivers is presented. With the proposed algorithm, unnecessary computational cycles are dynamically pruned from the correlation using an early threshold check. For the algorithm, we provide a rigo ...

Ieee2016

On Anomalous Lieb-Robinson Bounds for the Fibonacci XY Chain

Marius Christopher Lemm

We rigorously prove a new kind of anomalous (or sub-ballistic) Lieb-Robinson bound for the isotropic XY chain with Fibonacci external magnetic field at arbitrary coupling. It is anomalous in that the usual exponential decay in

x-vt

is replaced by exponen ...

2016

Superlensing using complementary media

Hoài-Minh Nguyên

This paper studies magnifying superlens using complementary media. Superlensing using complementary media was suggested by Veselago in [16] and innovated by Nicorovici et al. in [9] and Pendry in [10]. The study of this problem is difficult due to two fact ...

Gauthier-Villars/Editions Elsevier2015

A Tale of Two Quasi-Polynomial Algorithms

Robert Granger

In 2013 the Discrete Logarithm Problem in finite fields of small characteristic enjoyed a rapid series of developments, starting with the heuristic polynomial-time relation generation method due to Gologlu, Granger, McGuire and Zumbragel, and culminating w ...

2015

Conformal Invariance of Spin Correlations in the Planar Ising Model

Clément Hongler

We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains. This solves a number of conjectures coming fro ...

2015

Sparse Probabilistic Models

Andrei Giurgiu

This thesis is concerned with a number of novel uses of spatial coupling, applied to a class of probabilistic graphical models. These models include error correcting codes, random constraint satisfaction problems (CSPs) and statistical physics models calle ...

EPFL2015

New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains

Marius Christopher Lemm

We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson (LR) bound for an isotropic XY chain in a quasiperiodic transversal magnetic field. Instead of the usual effective light cone |x|≤v|t|, we obtain |x|≤v|t| ...

2014

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On the Soil-Structure Interaction of Surface Strip Footings at Ultimate Limit State

MATHICSE Technical Report : An algebraic least squares reduced basis method for the solution of parametrized Stokes equations

Localized orthogonal decomposition method for the wave equation with a continuum of scales

A Low-Power Correlator for Wakeup Receivers with Algorithm Pruning through Early Termination

On Anomalous Lieb-Robinson Bounds for the Fibonacci XY Chain

Superlensing using complementary media

A Tale of Two Quasi-Polynomial Algorithms

Conformal Invariance of Spin Correlations in the Planar Ising Model

Sparse Probabilistic Models

New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains

A Tale of Two Quasi-Polynomial Algorithms

On the Soil-Structure Interaction of Surface Strip Footings at Ultimate Limit State

Localized orthogonal decomposition method for the wave equation with a continuum of scales

A Low-Power Correlator for Wakeup Receivers with Algorithm Pruning through Early Termination

MATHICSE Technical Report : An algebraic least squares reduced basis method for the solution of parametrized Stokes equations

Superlensing using complementary media

Conformal Invariance of Spin Correlations in the Planar Ising Model

On Anomalous Lieb-Robinson Bounds for the Fibonacci XY Chain

Sparse Probabilistic Models

New Anomalous Lieb-Robinson Bounds in Quasiperiodic XY Chains