Seminar za teoriju vjerojatnosti
Probability Seminar

2008./2009.:

Sažeci / Abstracts:

• Kaneharu Tsuchida: Large deviation for discontinuous additive functionals of symmetric stable processes

  As a useful approach in proving the large deviation principle, the Gaertner-Ellis theorem is well known. Employing the theorem, we established the large deviation principle for discontinuous additive functionals of symmetric stable processes.

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• Mladen Victor Wickerhauser: Discrete wavelet transforms in practice

  One of the more efficient implementations of a perfect reconstruction wavelet filter transform is factorization into Sweldens' lifting steps, which incidentally performs the evaluation in place and reduces memory use. A recent result of Wei ZHU shows that in general these steps need only use nearest-neighbor data. We describe the proof and discuss the advantages and disadvantages from the implementation and accuracy points of view.

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• Ante Mimica: Harnackova nejednakost za slučajne šetnje na R^d

  Proučava se Harnackova nejednakost za nenegativne funkcije na R^d koje su harmonijske u odnosu na neke slučajne šetnje na R. Pokazuje se npr. da za slučajne šetnje čiji su koraci normalno distribuirani vrijedi samo slaba Harnackova nejednakost, dok za slučajne šetnje s eksponencijalno distribuiranim koracima vrijedi jaka Harnackova nejednakost.

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Prošli seminari / Past seminars:

• 2007./2008.