Results 91 - 100 of 1146
[REPORT SUMMARY] Mid-Term Report Summary - INFINITEBAYESIAN (Bayesian Statistics in Infinite Dimensions: Targeting
Priors by Mathematical Analysis)
The Bayesian paradigm in statistics is based on drawing up a probability model for a given phenomenon, and then applying standard probability calculus to derive the probable states of the system given all data acquired. In modern applications this paradigm is often applied to...
Programme: FP7-IDEAS-ERC
Record Number: 178238
Last updated on: 2016-05-04
In recent years, the well known relation between ordinary differential equations and first order PDE has been exploited in the context of convex Hamiltonian systems and the related Hamilton-Jacobi equation , which led to knew results on both sides.One of the central tools...
Programme: FP7-IDEAS-ERC
Record Number: 178735
Last updated on: 2016-04-28
[REPORT SUMMARY] Mid-Term Report Summary - COUNTING CONJECTURES (Counting conjectures and characters of almost simple groups)
The project aims at proving several long-standing conjectures in the representation theory of finite groups, known under the names of McKay, Alperin-McKay, Alperin weight, and Brauer height zero conjecture. These have been reduced to problems about finite simple groups, mainly...
Programme: FP7-IDEAS-ERC
Record Number: 179579
Last updated on: 2016-04-26
The first major outcome so far had been obtaining a new proof of the full Andre-Oort conjecture (under GRH) using Pila-Zannier strategy.We have obtained a proof of the full hyperbolic Ax-Lindemann theorem (joint with Klingler and Ullmo) which is a major result of independent...
Programme: FP7-IDEAS-ERC
Record Number: 179125
Last updated on: 2016-04-27
[REPORT SUMMARY] Mid-Term Report Summary - POLYTE (Polynomial term structure models)
This project develops new stochastic models in finance for the quantification and management of financial risks arising from various sources, including interest rates, credit risk, and volatility. The project has been laid out in three work flows: a fundamental study of...
Programme: FP7-IDEAS-ERC
Record Number: 178860
Last updated on: 2016-04-28
[REPORT SUMMARY] Mid-Term Report Summary - SPARCCLE (STRUCTURE PRESERVING APPROXIMATIONS FOR ROBUST COMPUTATION OF CONSERVATION LAWS AND RELATED EQUATIONS)
The main objective of this project was the design, convergence analysis and efficient implementation of structure preserving numerical methods for approximating nonlinear systems of conservation laws. The aim was to go significantly beyond the state of the art in both analysis...
Programme: FP7-IDEAS-ERC
Record Number: 178856
Last updated on: 2016-04-28
After more than three decades have passed since the monumental work of Almgren, with this project I have finally given a manageable proof of the main regularity result for area-minimizing currents. Several new developments which take this result as a starting point are in the...
Programme: FP7-IDEAS-ERC
Record Number: 181878
Last updated on: 2016-04-27
[REPORT SUMMARY] Mid-Term Report Summary - FANTAST (Frontiers of Analytic Number Theory And Selected Topics)
Diophantine equations are systems of polynomial equations with rational coefficients. Even very simple equations can mask a rich arithmetic structure that can be very difficult to penetrate. Nonetheless a suitable blend of analytic and algebro-geometric tools can sometimes be...
Programme: FP7-IDEAS-ERC
Record Number: 178875
Last updated on: 2016-04-27
Imagine the partition of a globe that is induced by a large, finite number of meridians going from the north pole to the south pole. Each slice of the partition is a domain on the sphere that looks almost like a single meridian, yet it is still two-dimensional. Pay attention...
Programme: FP7-IDEAS-ERC
Record Number: 178818
Last updated on: 2016-04-28
[REPORT SUMMARY] Mid-Term Report Summary - HFAKT (Homogeneous Flows and their Application in Kinetic Theory)
The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical scatterers. More than one hundred...
Programme: FP7-IDEAS-ERC
Record Number: 179630
Last updated on: 2016-04-25
List retrieved on: 2017-08-02
