[Turkmath:6431] TMD Seckin Seminerler - Nassif Ghoussoub - 9 Nisan Sali

[Baris Coskunuzer]

Sayın Liste Üyeleri,

Bu ayın seçkin seminerinde, 9 Nisan Salı günü saat 18.00'de, Kısmi
Diferansiyel Denklemler alanının önde gelen isimlerinden Nassif
Ghoussoub'u ağırlıyoruz.

https://www.birs.ca/~nassif

Mass transport, Kantorovich operators and their ergodic properties

The notion of a non-linear Kantorovich operator was motivated by the
celebrated duality in the mass transport problem, hence the name. In
retrospect, we realized that they -and their iterates- were omnipresent in
several branches of analysis, even those that are focused on linear Markov
operators and their semi-groups such as classical ergodic theory, potential
theory, and probability theory. The Kantorovich operators that appear in
these cases, though non-linear, are all positively 1-homogenous rendering
most classical operations on measures and functions conducted in these
theories ``cost-free”. General Kantorovich operators arise when one assigns
"a cost" to such operations.

Kantorovich operators are also Choquet capacities and are the ``least
non-linear" extensions of Markov operators, which make them a relatively
``manageable” subclass of non-linear maps. Motivated by the stochastic
counterpart of Aubry-Mather theory for Lagrangian systems and Fathi-Mather
weak KAM theory, as well as ergodic optimization of dynamical systems, we
exhibit the asymptotic properties of general Kantorovich operators.

https://tmd.org.tr/tmd-seckin-seminerleri

Konuşmaya tüm matematikseverleri bekliyoruz. Konuşmayı bölümlerinizde
paylaşabilirseniz seviniriz.

Saygılarımızla,

TMD Seçkin Seminerler Komitesi
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