Titlebook: Brownian Motion and its Applications to Mathematical Analysis; école d‘été de Proba Krzysztof Burdzy Book 2014 Springer International Publi

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978-3-319-04393-7Springer International Publishing Switzerland 2014

Rotator-Cuff

Architekt Martin Kohlbauer - Ein Portrait,The chapter provides a short general review of Brownian motion and its place in probability theory. We also review some basic facts and formulas.

禁止

,Hauptschule Zwentendorf 2000–2003,This chapter is devoted to new probabilistic proofs of results previously proved using analytic techniques.

BADGE

,Wohnhof Fuchsenfeld 1999–2003,This chapter is devoted to a general overview of the “hot spots” conjecture. To this day, the conjecture has been proved only for a very limited family of domains. Hence, it has a great potential as a source of interesting problems (related questions) and as a testing ground for new techniques.

Aerophagia

,Fernheizwerk Süd, Wien 23 1993–1996,This chapter contains some simple facts and more advanced results on Nuemann eigenfunctions related to the hot spots conjecture.

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Aviary

https://doi.org/10.1057/9781137275523The hot spots problem is closely related to the problem of finding the location of the nodal line of the first non-constant eigenfunction. The chapter contains a few results on the latter problem.

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Probabilistic Proofs of Classical Theorems,This chapter is devoted to new probabilistic proofs of results previously proved using analytic techniques.