Professor
Bogusław
Zegarliński |
|
Research
Interests
:
Functional
Analysis, Probability Theory and Stochastic Analysis, Mathematical
Physics ;
Analysis
on Infinite Dimensional Spaces : including
Non-Commutative * - Algebras and Spaces
;
Coercive
Inequalities and Isoperimetry :
Entropy
Estimates; Isoperimetric Inequalities;
Applications
to (Markov) Linear and Non-linear semigroups;
[
Statistical Mechanics:
Large
Interacting Systems, Gibbs Measures and Stochastic Dynamics
]
Recent :
∗ B. Zegarlinski, Crystallographic Groups of Hoermander Fields., hal-01160736v1
∗ P. Fougéres , I. Gentil and B. Zegarlinski, Application of logarithmic Sobolev inequality to Cauchy problems of reaction-diffusion equations, Annales Math Blaise Pascal, 24 (2017) 1-53, [hal-00987370]
∗ V. Kontis, M.Ottobre, B. Zegarlinski, Markov semigroups with hypocoercive-type generator in Infinite Dimensions I: Ergodicity and Smoothing. J. Fun. Analysis, 270, (2017) 3173-3223,arXiv:1306.6452
∗ V. Kontis, M.Ottobre, B. Zegarlinski, Markov semigroups with hypocoercive-type generator in Infinite Dimensions II : Applications. Infinite Dim Analysis Quantum Probab and Rel Topics, 20 (2017), arXiv:1306.6453
Links
:
Analysis
Group at Imperial
Analysis Seminars & Study Groups
CNRS-PAN
Summer Institute Krakow 2017
Interactions
between Partial Differential Equations & Functional Inequalities
Simons
Semester "PDEs/SPDEs & Functional Inequalities"
Courses :
(: Functional Analysis :)
(:
Probability
Theory :)
TCC(: Introduction to Coercive Inequalities :)TCC
TCC Introduction to Infinite Dimensional Analysis TCC
Introduction to Advanced Analysis
Analytic
Methods in PDEs
Introduction
to Infinite Dimensional Analysis
Measure
Theory and Integration
Metric
& Topological Spaces
Partial
Differential Equations and Diffusion Processes
Mathematics
in Molecular Biology
Lecture
Notes
:
*
Cours
IHP : Lectures on Logarithmic Sobolev Inequalities - A.Guionnet
& B. Zegarlinski
*
Analysis
of classical and quantum interacting particle systems (Dvi
file):
History : ICMP2000