Concept
Topologie en basses dimensions
Publications associées (177)
Learning the intrinsic dynamics of spatio-temporal processes through Latent Dynamics Networks
Alfio Quarteroni, Francesco Regazzoni, Stefano Pagani
Predicting the evolution of systems with spatio-temporal dynamics in response to external stimuli is essential for scientific progress. Traditional equations-based approaches leverage first principles through the numerical approximation of differential equ ...
Nature Portfolio2024Benchmarking machine-readable vectors of chemical reactions on computed activation barriers
Ksenia Briling, Puck Elisabeth van Gerwen, Yannick Calvino Alonso, Malte Martin Franke
In recent years, there has been a surge of interest in predicting computed activation barriers, to enable the acceleration of the automated exploration of reaction networks. Consequently, various predictive approaches have emerged, ranging from graph-based ...
Royal Soc Chemistry2024Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups
We determine the bounded cohomology of the group of homeomorphisms of certain low-dimensional manifolds. In particular, for the group of orientation-preserving homeomorphisms of the circle and of the closed 2-disc, it is isomorphic to the polynomial ring g ...
SPRINGER HEIDELBERG2023Hyperbolic representations of PU(1,n)
Gonzalo Emiliano Ruiz Stolowicz
The work is about the study of group representations in the group of isometries of a separable complex hyperbolic space. The main part is the classification of the representations of the group of isometries of a finite dimensional complex hyperbolic spa ...
EPFL2023Well-posedness Issues For the Half-Wave Maps Equation With Hyperbolic And Spherical Targets
This thesis is a study of the global well-posedness of the Cauchy problems for half-wave maps from the Minkowski space of dimension n+1 to the 2-dimensional sphere and the hyperbolic plane. The work is mainly based on the results from Krieger-Sire 17' in ...
EPFL2023Statistical physics of periodic biological processes
Earth rotation around its axis imposes a 24-hour rhythmicity to all life on the planet.Rather than passively responding to these periodic changes, nature has given us an internal timekeeper, the circadian clock, to anticipate to our advantage the fluctuati ...
EPFL2023Graphical solutions to one-phase free boundary problems
Xavier Fernandez-Real Girona, Hui Yu
We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous function, the solution is the half-plane solution. This answers, in the salient di ...
Berlin2023Nonlinear dynamics and Kerr frequency comb formation in lattices of coupled microresonators
Tobias Kippenberg, Aleksandr Tusnin, Kenichi Komagata, Alexey Tikan
Recently, substantial progress has been made in the understanding of microresonators frequency combs based on dissipative Kerr solitons (DKSs). However, most of the studies have focused on the single-resonator level. Coupled resonator systems can open new ...
Berlin2023Arithmetic and geometric deformations of threefolds
Stefano Filipazzi, Fabio Bernasconi
We show that mixed-characteristic and equicharacteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic p>5 are canonical (resp., terminal). We discuss applications to arithmetic a ...
Hoboken2023Structural Insights into Electrophiles and Electrophilic Metabolites Sensing and Signaling: The Missing Information
Native reactive electrophilic species (RES) are long-recognized regulators of pathophysiology; yet, knowledge surrounding how RES regulate context-specific biology remains limited. The latest technological advances in profiling and precision decoding of RE ...
WILEY-V C H VERLAG GMBH2023