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Mixed norm condition numbers for the univariate Bernstein basis

Tom LycheKarl Scherer — 2006

Banach Center Publications

We study mixed norm condition numbers for the univariate Bernstein basis for polynomials of degree n, that is, we measure the stability of the coefficients of the basis in the l q -sequence norm whereas the polynomials to be represented are measured in the L p -function norm. The resulting condition numbers differ from earlier results obtained for p = q.

Singular Solutions with Exponential Growth for the (3+1)-D Wave Equation Сингулярни решения с експоненциален ръст за четиримерното вълново уравнение

Popivanov, NedyuPopov, TodorScherer, Rudolf — 2011

Union of Bulgarian Mathematicians

Недю И. Попиванов, Тодор П. Попов, Рудолф Шерер - Разглеждат се четиримерни гранични задачи за нехомогенното вълново уравнение. Те са предложени от М. Протер като многомерни аналози на задачата на Дарбу в равнината. Известно е, че единственото обобщено решение може да има силна степенна особеност само в една гранична точка. Тази сингулярност е изолирана във върха на характеристичния конус и не се разпространява по конуса. Друг аспект на проблема е, че задачата не е фредхолмова, тъй като има безкрайномерно...

Building bridges between Mathematics, Insurance and Finance

Fabrizio DuranteGiovanni PuccettiMatthias Scherer — 2015

Dependence Modeling

Paul Embrechts is Professor of Mathematics at the ETH Zurich specializing in Actuarial Mathematics and Quantitative Risk Management. Previous academic positions include the Universities of Leuven, Limburg and London (Imperial College). Dr. Embrechts has held visiting professorships at several universities, including the Scuola Normale in Pisa (Cattedra Galileiana), the London School of Economics (Centennial Professor of Finance), the University of Vienna, Paris 1 (Panthéon-Sorbonne), theNationalUniversity...

Noetherian loop spaces

Natàlia CastellanaJuan CrespoJérôme Scherer — 2011

Journal of the European Mathematical Society

The class of loop spaces of which the mod p cohomology is Noetherian is much larger than the class of p -compact groups (for which the mod p cohomology is required to be finite). It contains Eilenberg–Mac Lane spaces such as P and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space B X of such an object and prove it is as small as expected, that is, comparable to that of B P . We also show that B X differs basically from the classifying space of a p -compact group...

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