Concept

Wigner semicircle distribution

Related publications (13)

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Making Computer Vision Models Robust and Adaptive

Shuqing Teresa Yeo

Visual perception is indispensable for many real-world applications. However, perception models deployed in the real world will encounter numerous and unpredictable distribution shifts, for example, changes in geographic locations, motion blur, and adverse ...

EPFL2023

Inference on the Angular Distribution of Extremes

Claudio Andri Semadeni

The spectral distribution plays a key role in the statistical modelling of multivariate extremes, as it defines the dependence structure of multivariate extreme-value distributions and characterizes the limiting distribution of the relative sizes of the co ...

EPFL2020

Global eigenvalue distribution of matrices defined by the skew-shift

Marius Christopher Lemm

We consider large Hermitian matrices whose entries are defined by evaluating the exponential function along orbits of the skew-shift

\binom{j}{2} \omega+jy+x \mod 1

for irrational

\omega

. We prove that the eigenvalue distribution of these matrices conv ...

2019

Functional Peaks-Over-Threshold Analysis for Complex Extreme Events

Most current risk assessment for complex extreme events relies on catalogues of similar events, either historical or generated artificially. In the latter, no existing methods produce completely new events with mathematically justified extrapolation above ...

EPFL2018

Transport time scales in soil erosion modelling

David Andrew Barry, Seifeddine Jomaa, Mohsen Cheraghi

Unlike sediment transport in rivers, erosion of agricultural soil must overcome its cohesive strength to move soil particles into suspension. Soil particle size variability also leads to fall velocities covering many orders of magnitude, and hence to diffe ...

Soil Sci Soc Amer2017

Experimental investigation of the low-temperature features of a random Heisenberg spin chain

Joël Mesot, Krunoslav Prsa

Low-dimensional spin systems, consisting of arrays of spins arranged in chains or ladders, have been investigated intensively in recent years using both exactly solvable theoretical models as well as a variety of experimental techniques. In case of random ...

2012

A Probabilistic Approach of Sum Rules for Heat Polynomials

Olivier Lévêque

In this paper, we show that the sum rules for generalized Hermite polynomials derived by Daboul and Mizrahi (2005 J. Phys. A: Math. Gen. 38 427-48) and by Graczyk and Nowak (2004 C. R. Acad. Sci., Ser. 1 338 849) can be interpreted and easily recovered usi ...

2012

Multivariate extreme models based on underlying skew-t and skew-normal distributions

Simone Padoan

We derive for the first time the limiting distribution of maxima of skew-t random vectors and we show that its limiting case, as the degree of freedom goes to infinity, is the skewed version of the well-known FlOsler-Reiss model. The advantage of the new f ...

2011

4th International Conference on Construction Materials

The resistance as well as strain hardening and softening properties of UHPFRC depend on the type of matrix and mainly on the fibre dosage and final distribution and orientation in the element. The strength and deformability distribution in a thin UHPFRC pa ...

Japan Concrete Institute (JCI) Japan Society of Civil engineers (JSCE) Canadian society for Civil engineering (CSCE) ConMat'092009

On the calibration of hydrological models in ungauged basins: A framework for integrating hard and soft hydrological information

Bettina Schaefli

This paper presents a calibration framework based on the generalized likelihood uncertainty estimation (GLUE) that can be used to condition hydrological model parameter distributions in scarcely gauged river basins, where data is uncertain, intermittent or ...

American Geophysical Union2009