Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Professor of Pure Mathematics



+44 (0)20 7594 8492b.zegarlinski Website




6M55Huxley BuildingSouth Kensington Campus





Professor Zegarlinski is a Pure Mathematics Professor at Imperial College London. His research interests are as follows:

Functional Analysis, Probability Theory and Stochastic Analysis, Mathematical Physics ; Analysis on Infinite Dimensional Spaces, including Non-Commutative * - Algebras and Spaces ; Coercive Inequalities and Isoperimetry : Logarithmic Sobolev, Generalized Nash and Logarithmic Nash,...
Isoperimetric Inequalities; Applications to Markov (Linear and Non-linear) semigroups; [Statistical Mechanics: Large Interacting Systems, Gibbs Measures and Stochastic Dynamics;]

Professor Boguslaw Zegarlinski's personal web page can be found at

Selected Publications

Journal Articles

Zegarlinski B, Stroock DW, 1992, The equivalence of the logarithmic Sobolev inequality and the Dobrushin - Shlosman mixing condition., Commun. Math. Phys., Vol:144, Pages:303-323

Stroock DW, Zegarlinski B, 1992, The logarithmic sobolev inequality for discrete spin systems on a lattice, Communications in Mathematical Physics, Vol:149, ISSN:0010-3616, Pages:175-193

Zegarliński B, 1990, Log-Sobolev inequalities for infinite one-dimensional lattice systems, Communications in Mathematical Physics, Vol:133, Pages:147-162

Zegarlinski B, 1992, Dobrushin uniqueness theorem and logarithmic Sobolev inequalities, Journal of Functional Analysis, Vol:105, ISSN:0022-1236, Pages:77-111

Zegarlinski B, 1996, The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice, Communications in Mathematical Physics, Vol:175, ISSN:0010-3616, Pages:401-432

Majewski AW, Zegarlinski B, 1996, On quantum stochastic dynamics and noncommutative L(p) spaces, Letters in Mathematical Physics, Vol:36, ISSN:0377-9017, Pages:337-349

Guionnet, A., Zegarlinski, B., 1996, Decay to equilibrium in random spin systems on a lattice, Communications in Mathematical Physics, Vol:181, ISSN:0010-3616, Pages:703-732

vanEnter ACD, Zegarlinski B, 1997, Non-periodic long-range order for one-dimensional pair interactions, Journal of Physics A - Mathematical and General, Vol:30, ISSN:0305-4470, Pages:501-505

Majewski AW, Olkiewicz R, Zegarlinski B, 1998, Dissipative dynamics for quantum spin systems on a lattice, Journal of Physics A - Mathematical and General, Vol:31, ISSN:0305-4470, Pages:2045-2056

Olkiewicz R, Zegarlinski B, 1999, Hypercontractivity in noncommutative L-p spaces, Journal of Functional Analysis, Vol:161, ISSN:0022-1236, Pages:246-285

Bertini, L., Zegarlinski, B., 1999, Coercive inequalities for Gibbs measures, Journal of Functional Analysis, Vol:162, ISSN:0022-1236, Pages:257-286

Bodineau, T., Zegarlinski, B., 2000, Hypercontractivity via spectral theory, Infinite Dimensional Analysis Quantum Probability and Related Topics, Vol:3, ISSN:0219-0257, Pages:15-31

Kondrat G, Peszat S, Zegarlinski B, 2000, Ergodicity for generalized Kawasaki dynamics, Journal of Physics A - Mathematical and General, Vol:33, ISSN:0305-4470, Pages:5901-5912

Zegarlinski B, 2001, Isoperimetry for Gibbs measures, Annals of Probability, Vol:29, ISSN:0091-1798, Pages:802-819

Zegarlinski B, 2001, Entropy bounds for Gibbs measures with non-Gaussian tails, Journal of Functional Analysis, Vol:187, ISSN:0022-1236, Pages:368-395

Guionnet A, Zegarlinski B, 2003, Lectures on logarithmic Sobolev inequalities, Lecture Notes in Mathematics, Vol:1801, ISSN:0075-8434, Pages:1-134

Bobkov, S. G., Zegarlinski, et al., 2005, Entropy bounds and isoperimetry, Memoirs of the American Mathematical Society, Vol:176, ISSN:0065-9266, Pages:1-69

Fougeres P, Zegarlinski B, 2005, Semi-linear problems in infinite dimensions, Journal of Functional Analysis, Vol:228, ISSN:0022-1236, Pages:39-88

Al-Rashed MHA, Zegarlinski B, 2007, Noncommutative Orlicz spaces associated to a state, Studia Mathematica, Vol:180, ISSN:0039-3223, Pages:199-209

Roberto C, Zegarlinski B, 2007, Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups, Journal of Functional Analysis, Vol:243, ISSN:0022-1236, Pages:28-66

Lugiewicz P, Zegarlinski B, 2007, Coercive inequalities for Hormander type generators in infinite dimensions, Journal of Functional Analysis, Vol:247, ISSN:0022-1236, Pages:438-476

Olkiewicz R, Xu L, Zegarlinski B, 2008, Nonlinear problems in infinite interacting particle systems, Infinite Dimensional Analysis Quantum Probability and Related Topics, Vol:11, ISSN:0219-0257, Pages:179-211

Hebisch W, Zegarlinski B, 2010, Coercive inequalities on metric measure spaces, Journal of Functional Analysis, Vol:258, ISSN:0022-1236, Pages:814-851

Gentil I, Zegarlinski B, 2010, ASYMPTOTIC BEHAVIOUR OF REVERSIBLE CHEMICAL REACTION-DIFFUSION EQUATIONS, Kinetic and Related Models, Vol:3, ISSN:1937-5093, Pages:427-444

Xu L, Zegarlinski B, 2010, Existence and Exponential mixing of infinite white alpha-stable Systems with unbounded interactions, Electronic Journal of Probability, Vol:15, ISSN:1083-6489, Pages:1994-2018

Dragoni F, Kontis V, Zegarlinski B, 2012, Ergodicity of Markov Semigroups with Hormander Type Generators in Infinite Dimensions, Potential Analysis, Vol:37, ISSN:0926-2601, Pages:199-227

Zegarliński B, 2011, Analysis on Extended Heisenberg Group, Universite Paul Sabatier. Faculte des Sciences. Annales: mathematiques, Vol:20, ISSN:0240-2963, Pages:379-405

Inglis J, Kontis V, Zegarlinski B, 2011, From U-bounds to isoperimetry with applications to H-type groups, Journal of Functional Analysis, Vol:260, ISSN:0022-1236, Pages:76-116

Fougeres P, Roberto C, Zegarlinski B, 2012, Sub-gaussian measures and associated semilinear problems, Revista Matematica Iberoamericana, Vol:28, ISSN:0213-2230, Pages:305-350

Inglis J, Neklyudov M, Zegarlinski B, 2012, ERGODICITY FOR INFINITE PARTICLE SYSTEMS WITH LOCALLY CONSERVED QUANTITIES, Infinite Dimensional Analysis Quantum Probability and Related Topics, Vol:15, ISSN:0219-0257

Zegarlinski, B., 1999, Relative entropy estimates in statistical mechanics and field theory, Lecture Notes in Physics, Vol:539, ISSN:0075-8450, Pages:149-160


Guionnet, A., Zegarlinski, B., 2002, Lectures on logarithmic Sobolev inequalities, Seminaire de Probabilities XXXVI, Editor(s): Azema, Emery, Ledoux, Yor, Berlin, Springer, Pages:1-134, ISBN:9783540000723

Zegarli\'nski, Bogus\l aw, 2002, Analysis of classical and quantum interacting particle systems., Quantum interacting particle systems,, River Edge, NJ,, World Sci. Publ.,, Pages:241-336

Bobkov S, Zegarlinski B, 2010, Distributions with Slow Tails and Ergodicity of Markov Semigroups in Infinite Dimensions, Around the Research of Vladimir Maz'ya I, Editor(s): Laptev, Springer, Pages:13-79, ISBN:978-1-4419-1340-1


Zegarlinski B, 1999, Coercive inequalities for gibes measures and applications, XIIth International Congress of Mathematical Physics (ICMP 97), INTERNATIONAL PRESS INC BOSTON, Pages:364-370

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