Publications related to Differential geometry of surfaces

Three-dimensional and real-scale modeling of flow regimes in dense snow avalanches

Johan Alexandre Philippe Gaume, Betty Sovilla, Xingyue Li

Snow avalanches cause fatalities and economic loss worldwide and are one of the most dangerous gravitational hazards in mountainous regions. Various flow behaviors have been reported in snow avalanches, making them challenging to be thoroughly understood a ...

2021

Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

Robert Dalang, Fei Pu

We consider a system of d non-linear stochastic fractional heat equations in spatial dimension 1 driven by multiplicative d-dimensional space-time white noise. We establish a sharp Gaussian-type upper bound on the two-point probability density function of ...

ELSEVIER2021

The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications

This paper proposes a shape optimization algorithm based on the principles of Isogeometric Analysis (IGA) in which the parameterization of the geometry enters the problem formulation as an additional PDE-constraint. Inspired by the isoparametric principle ...

2021

A parametrized Kalman filter for fast track fitting at LHCb

Michel De Cian

We present an alternative implementation of the Kalman filter employed for track fitting within the LHCb experiment. It uses simple parametrizations for the extrapolation of particle trajectories in the field of the LHCb dipole magnet and for the effects o ...

2021

Sensing soft robot shape using imus: An experimental investigation

Josephine Anna Eleanor Hughes, Francesco Stella

Shape estimation of soft robotic systems is challenging due to the range of deformations that can be achieved, and the limited availability of physically compatible sensors. We propose a method of reconstruction using Inertial Measurement Units (IMUs), whi ...

Springer Verlag2021

UCLID-Net: Single View Reconstruction in Object Space

Pascal Fua, Benoît Alain René Guillard, Edoardo Remelli

Most state-of-the-art deep geometric learning single-view reconstruction approaches rely on encoder-decoder architectures that output either shape parametrizations or implicit representations. However, these representations rarely preserve the Euclidean st ...

2020

A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic

Jürgpeter Buser, Robert Silhol

We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface S where a short closed geodesic is pinched. If the geodesic separates the surface into two parts, then the Jacobian variety of S develops into a variety that split ...

2020

The emergence of small-scale self-affine surface roughness from deformation

Till Junge

Most natural and man-made surfaces appear to be rough on many length scales. There is presently no unifying theory of the origin of roughness or the self-affine nature of surface topography. One likely contributor to the formation of roughness is deformati ...

AMER ASSOC ADVANCEMENT SCIENCE2020

Jamming with Tunable Roughness

Matthieu Wyart, Carolina Brito Carvalho dos Santos

We introduce a new model to study the effect of surface roughness on the jamming transition. By performing numerical simulations, we show that for a smooth surface, the jamming transition density and the contact number at the transition point both increase ...

AMER PHYSICAL SOC2020

Differential geometry of surfaces

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Three-dimensional and real-scale modeling of flow regimes in dense snow avalanches

Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications

A parametrized Kalman filter for fast track fitting at LHCb

Sensing soft robot shape using imus: An experimental investigation

UCLID-Net: Single View Reconstruction in Object Space

A stability theory beyond the co-rotational setting for critical wave maps blow up

Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic

The emergence of small-scale self-affine surface roughness from deformation

Jamming with Tunable Roughness

Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic

Sensing soft robot shape using imus: An experimental investigation

Optimal lower bounds on hitting probabilities for non-linear systems of stochastic fractional heat equations

UCLID-Net: Single View Reconstruction in Object Space

Jamming with Tunable Roughness

Three-dimensional and real-scale modeling of flow regimes in dense snow avalanches

The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications

A parametrized Kalman filter for fast track fitting at LHCb

A stability theory beyond the co-rotational setting for critical wave maps blow up

The emergence of small-scale self-affine surface roughness from deformation