Professor Bogusław Zegarliński
Tel. :
++44(0)20759 48492
E-Mail :
b.zegarlinski (@imperial.ac.uk :)



 

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 ]

 Publications @ MathSciNet

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