Publication
Arithmetic and metric aspects of open de Rham spaces
Publications associées (34)
The multivariate Serre conjecture ring
It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension
San Diego2023Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications
We obtain new results pertaining to convergence and recurrence of multiple ergodic averages along functions from a Hardy field. Among other things, we confirm some of the conjectures posed by Frantzikinakis in [Fra10; Fra16] and obtain combinatorial applic ...
2020A p-weighted limiter for the discontinuous Galerkin method on one-dimensional and two-dimensional triangular grids
This paper presents an accuracy-preserving p-weighted limiter for discontinuous Galerkin methods on one-dimensional and two-dimensional triangular grids. The p-weighted limiter is the extension of the second-order WENO limiter by Li et al. [W. Li, J. Pan a ...
2020Characteristic classes as complete obstructions
In the first part of this paper, we propose a uniform interpretation of characteristic classes as obstructions to the reduction of the structure group and to the existence of an equivariant extension of a certain homomorphism defined a priori only on a sin ...
SPRINGER HEIDELBERG2019Towards new invariants for principal bundles
We investigate the theory of principal bundles from a homotopical point of view. In the first part of the thesis, we prove a classification of principal bundles over a fixed base space, dual to the well-known classification of bundles with a fixed structur ...
EPFL2017A Looping-Delooping Adjunction For Topological Spaces
Every principal G-bundle over X is classified up to equivalence by a homotopy class X -> BG, where BG is the classifying space of G. On the other hand, for every nice topological space X Milnor constructed a strict model of its loop space (Omega) over tild ...
Int Press Boston, Inc2017Motivic and p-adic Localization Phenomena
In this thesis we compute motivic classes of hypertoric varieties, Nakajima quiver varieties and open de Rham spaces in a certain localization of the Grothendieck ring of varieties. Furthermore we study the -adic pushforward of the Haar measure under a ...
EPFL2017Sampling at unknown locations, with an application in surface retrieval
Martin Vetterli, Benjamin Bejar Haro, Adam James Scholefield, Michalina Wanda Pacholska
We consider the problem of sampling at unknown locations. We prove that, in this setting, if we take arbitrarily many samples of a polynomial or real bandlimited signal, it is possible to find another function in the same class, arbitrarily far away from t ...
2017Sampling and Reconstruction of Shapes with Algebraic Boundaries
Martin Vetterli, Arash Amini, Mitra Fatemi
We present a sampling theory for a class of binary images with finite rate of innovation (FRI). Every image in our model is the restriction of to the image plane, where denotes the indicator function and is some r ...
2016Dendrimer-Stabilized Titanate Nanowire Dispersions as Potential Nanocarriers
László Forró, Endre Horvath, Marko Pavlovic
The effect of poly(amido amine) (PAMAM) dendrimers of generations G2, G6, and G10 on the dispersion stability of titanate nanowires (TiONWs) as potential nanocarriers was clarified in order to develop biocompatible delivery systems. The PAMAMs adsorbed str ...
Amer Chemical Soc2015