Edit Profile Zegarlinski, Boguslaw Compute Distance To: Compute Author ID: zegarlinski.boguslaw Published as: Zegarlinski, B.; Zegarlinski, Boguslav; Zegarlinski, Boguslaw; Zegarlinski, Bogusław; Zegarliński, B.; Zegarliński, Boguslaw; Zegarliński, Bogusław Homepage: https://www.imperial.ac.uk/people/b.zegarlinski Documents Indexed: 92 Publications since 1984, including 6 Books all top 5 Co-Authors 30 single-authored 8 Albeverio, Sergio A. 8 Majewski, Adam W. 7 Olkiewicz, Robert 4 Kontis, Vasilis 4 Stroock, Daniel W. 3 Alrashed, Maryam H. A. 3 Fokas, Athanassios S. 3 Fougères, Pierre 3 Guionnet, Alice 3 Inglis, James D. 3 Kibble, Tom W. B. 3 Ługiewicz, Piotr 3 Ottobre, Michela 3 Xu, Lihu 2 Bertini, Lorenzo Bertini 2 Bobkov, Sergey Germanovich 2 Flandoli, Franco 2 Gentil, Ivan 2 Grigor’yan, Alexander Asaturovich 2 Hebisch, Waldemar 2 Høegh-Krohn, Raphael J. 2 Neklyudov, M. Yu. 2 Roberto, Cyril 2 van Enter, Aernout C. D. 1 Bodineau, Thierry 1 Brzeźniak, Zdzisław 1 Buttà, Paolo 1 Dragoni, Federica 1 Fröhlich, Jürg Martin 1 Halliwell, Jonathan J. 1 Hohler, Erling G. B. 1 Kondrat, Grzegorz 1 Liang, Song 1 Liu, Xing 1 Neklyudov, Misha 1 Peszat, Szymon 1 Röckner, Michael 1 Tirozzi, Brunello all top 5 Serials 13 Communications in Mathematical Physics 11 Journal of Functional Analysis 7 Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 Journal of Statistical Physics 3 Reviews in Mathematical Physics 3 Journal of Physics A: Mathematical and General 3 Markov Processes and Related Fields 2 Letters in Mathematical Physics 2 Reports on Mathematical Physics 2 Linear Algebra and its Applications 2 Kinetic and Related Models 1 Journal of Mathematical Physics 1 Studia Mathematica 1 The Annals of Probability 1 Journal of Multivariate Analysis 1 Memoirs of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Revista Matemática Iberoamericana 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Annales Mathématiques Blaise Pascal 1 Mathematical Physics Electronic Journal 1 Electronic Journal of Probability 1 Acta Physica Polonica B 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 49 Probability theory and stochastic processes (60-XX) 47 Statistical mechanics, structure of matter (82-XX) 24 Functional analysis (46-XX) 23 Operator theory (47-XX) 15 Quantum theory (81-XX) 9 Partial differential equations (35-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 3 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 77 Publications have been cited 720 times in 361 Documents Cited by ▼ Year ▼ Lectures on logarithmic Sobolev inequalities. Zbl 1125.60111Guionnet, A.; Zegarlinski, B. 70 2003 The logarithmic Sobolev inequality for discrete spin systems on a lattice. Zbl 0758.60070Stroock, Daniel W.; Zegarlinski, Boguslaw 63 1992 The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition. Zbl 0745.60104Stroock, Daniel W.; Zegarlinski, Boguslaw 57 1992 Hypercontractivity in noncommutative \(L_1\) spaces. Zbl 0923.46066Olkiewicz, Robert; Zegarlinski, Bogusław 34 1999 The logarithmic Sobolev inequality for continuous spin systems on a lattice. Zbl 0794.46025Stroock, Daniel W.; Zegarlinski, Boguslaw 34 1992 Entropy bounds and isoperimetry. Zbl 1161.46300Bobkov, S. G.; Zegarlinski, B. 32 2005 The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice. Zbl 0844.46050Zegarlinski, Boguslaw 32 1996 Dobrushin uniqueness theorem and logarithmic Sobolev inequalities. Zbl 0761.46020Zegarlinski, Boguslaw 28 1992 On log-Sobolev inequalities for infinite lattice systems. Zbl 0717.47015Zegarlinski, Boguslaw 22 1990 Log-Sobolev inequalities for infinite one-dimensional lattice systems. Zbl 0713.60080Zegarlinski, Boguslaw 19 1990 Coercive inequalities for Kawasaki dynamics. The product case. Zbl 0934.60096Bertini, L.; Zegarlinski, B. 16 1999 Coercive inequalities on metric measure spaces. Zbl 1189.26032Hebisch, W.; Zegarliński, B. 15 2010 Coercive inequalities for Hörmander type generators in infinite dimensions. Zbl 1128.58009Ługiewicz, P.; Zegarliński, B. 15 2007 Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups. Zbl 1120.28013Roberto, C.; Zegarliński, B. 15 2007 Uniqueness and the global Markov property for Euclidean fields: The case of general exponential interaction. Zbl 0576.60097Zegarliński, Bogusław 15 1984 Coercive inequalities for Gibbs measures. Zbl 0932.60061Bertini, Lorenzo; Zegarlinski, Bogusław 13 1999 Hypercontractivity via spectral theory. Zbl 1040.47503Bodineau, T.; Zegarlinski, B. 10 2000 Quantum stochastic dynamics. II. Zbl 0863.46041Majewski, Adam W.; Zegarlinski, Boguslaw 9 1996 On the ergodic properties of Glauber dynamics. Zbl 1081.60562Stroock, D.; Zegarliński, B. 9 1995 Ergodicity of Markov semigroups with Hörmander type generators in infinite dimensions. Zbl 1257.47047Dragoni, Federica; Kontis, Vasilis; Zegarliński, Bogusław 8 2012 From \(U\)-bounds to isoperimetry with applications to H-type groups. Zbl 1210.26017Inglis, J.; Kontis, V.; Zegarliński, B. 8 2011 Asymptotic behaviour of reversible chemical reaction-diffusion equations. Zbl 1221.35065Gentil, Ivan; Zegarlinski, Bogusław 8 2010 Ergodicity of the finite and infinite dimensional \(\alpha \)-stable systems. Zbl 1181.60150Xu, Lihu; Zegarliński, Bogusław 8 2009 Noncommutative Orlicz spaces associated to a state. Zbl 1126.46042Al-Rashed, Maryam H. A.; Zegarliński, Bogusław 8 2007 Decay to equilibrium in random spin systems on a lattice. Zbl 0882.60093Guionnet, Alice; Zegarlinski, Boguslaw 8 1996 Interactions and pressure functionals for disordered lattice systems. Zbl 0747.58066Zegarlinski, Boguslav 8 1991 Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds. Zbl 0708.60101Albeverio, Sergio; Zegarlinski, Boguslav 8 1990 Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions. Zbl 0668.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 8 1989 Spin glasses and other lattice systems with long range interactions. Zbl 0661.60128Fröhlich, J.; Zegarlinski, B. 8 1989 Existence and exponential mixing of infinite white \(\alpha\)-stable systems with unbounded interactions. Zbl 1221.37160Xu, Lihu; Zegarlinski, Boguslaw 7 2010 Rigorous results for the free energy in the Hopfield model. Zbl 0770.92003Albeverio, S.; Tirozzi, B.; Zegarlinski, B. 7 1992 Semi-linear problems in infinite dimensions. Zbl 1100.35113Fougères, P.; Zegarliński, B. 6 2005 Dissipative dynamics for quantum spin systems on a lattice. Zbl 0917.46059Majewski, Adam W.; Olkiewicz, Robert; Zegarlinski, Boguslaw 6 1998 Quantum stochastic dynamics. I. Zbl 0827.58064Majewski, Adam W.; Zegarlinski, Boguslaw 6 1995 Markov semigroups with hypocoercive-type generator in infinite dimensions: ergodicity and smoothing. Zbl 1341.47055Kontis, V.; Ottobre, M.; Zegarlinski, B. 5 2016 On quantum stochastic dynamics and noncommutative \(L_ p\) spaces. Zbl 0846.46044Majewski, Adam W.; Zegarlinski, Boguslaw 5 1996 Ergodicity of Markov semigroups. Zbl 0824.47034Zegarlinski, Boguslaw 5 1995 Strong decay to equilibrium in one-dimensional random spin systems. Zbl 0839.60102Zegarlinski, Boguslaw 5 1994 Sub-Gaussian measures and associated semilinear problems. Zbl 1248.35227Fougères, Pierre; Roberto, Cyril; Zegarliński, Boguslaw 4 2012 Ergodicity for infinite particle systems with locally conserved quantities. Zbl 1268.60120Inglis, J.; Neklyudov, M.; Zegarliński, B. 4 2012 Noncommutative Orlicz spaces associated to a state. II. Zbl 1221.46065Al-Rashed, Maryam H. A.; Zegarliński, Bogusław 4 2011 Remark on the integration by parts formula for the \(\phi_3^4\)-quantum field model. Zbl 1091.81064Albeverio, Sergio; Liang, Song; Zegarlinski, Boguslav 4 2006 Isoperimetry for Gibbs measures. Zbl 1027.60099Zegarlinski, Bogusław 4 2001 Entropy bounds for Gibbs measures with non-Gaussian tails. Zbl 0992.60096Zegarliński, Bogusław 4 2001 The Dirichlet problem for quasi-linear partial differential operators with boundary data given by a distribution. Zbl 0794.35057Röckner, Michael; Zegarlinski, Boguslaw 4 1990 Nonlinear problems in infinite interacting particle systems. Zbl 1160.47060Olkiewicz, Robert; Xu, Lihu; Zegarliński, Bogusław 3 2008 On equivalence of spin and field pictures of lattice systems. Zbl 0718.60118Zegarlinski, Boguslav 3 1990 Extremality and the global Markov property. I: The Euclidean fields on a lattice. Zbl 0617.60048Zegarliński, Boguslaw 3 1987 Extremality and the global Markov property II: The global Markov property for non-FKG maximal Gibbs measures. Zbl 0651.60107Zegarliński, Boguslaw 3 1986 Monotone norms and Finsler structures in noncommutative spaces. Zbl 1320.46047Al-Rashed, Maryam H. A.; Zegarliński, Bogusław 2 2014 Nonlinear Markov semigroups on \(C^{\ast}\)-algebras. Zbl 1297.47064Ługiewicz, P.; Olkiewicz, R.; Zegarlinski, B. 2 2013 Liggett-type inequalities and interacting particle systems: the Gaussian case. Zbl 1266.60157Inglis, J.; Neklyudov, M.; Zegarlinski, B. 2 2010 Ergodic properties of diffusion-type quantum dynamical semigroups. Zbl 1200.81098Ługiewicz, P.; Olkiewicz, R.; Zegarlinski, B. 2 2010 Distributions with slow tails and ergodicity of Markov semigroups in infinite dimensions. Zbl 1200.60020Bobkov, Sergey; Zegarlinski, Boguslaw 2 2010 On quantum stochastic dynamics. Zbl 0876.46041Majewski, A. W.; Zegarlinski, B. 2 1996 Gibbsian description and description by stochastic dynamics in the statistical mechanics of lattice spin systems with finite range interactions. Zbl 0835.60091Zegarlinski, Boguslaw 2 1995 Spin systems with long-range interactions. Zbl 0830.60099Zegarlinski, Boguslaw 2 1994 Global Markov property in quantum field theory and statistical mechanics: A review on results and problems. Zbl 0784.60100Albeverio, Sergio; Zegarliński, Boguslaw 2 1992 Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion. Zbl 0698.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 2 1989 The Gibbs measures and partial differential equations. I. Ideas and local aspects. Zbl 0608.60093Zegarliński, Boguslaw 2 1986 The Gibbs measures and partial differential equations. Zbl 0558.60078Zegarlinski, Boguslaw 2 1985 A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw 1 2019 Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach. Zbl 06798304Kontis, V.; Ottobre, M.; Zegarlinski, B. 1 2017 Linear and nonlinear dissipative dynamics. Zbl 1376.37115Zegarliński, B. 1 2016 Conservative interacting particles system with anomalous rate of ergodicity. Zbl 1230.82036Brzeźniak, Z.; Flandoli, F.; Neklyudov, M.; Zegarliński, B. 1 2011 Analysis on extended Heisenberg group. Zbl 1253.47028Zegarliński, B. 1 2011 Linear and nonlinear concentration phenomena. Zbl 1241.47035Zegarliński, B. 1 2010 XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17–22, 2000. Zbl 0994.00023Grigoryan, A. (ed.); Fokas, A. (ed.); Kibble, T. (ed.); Zegarlinski, B. (ed.) 1 2001 Hypercontractivity in non-commutative \(L_p\) spaces. Zbl 1106.46309Zegarliński, Bogusław 1 2000 Ergodicity for generalized Kawasaki dynamics. Zbl 0980.82019Kondrat, G.; Peszat, S.; Zegarlinski, B. 1 2000 On quantum stochastic dynamics for quantum spin systems on a lattice: Low temperature problem. Zbl 1017.82008Majewski, Adam W.; Zegarlinski, Boguslaw 1 1999 Stochastic dynamics of quantum spin systems. Zbl 0979.46048Majewski, Adam W.; Olkiewicz, Robert; Zegarliński, Bogusław 1 1998 Random spin systems with long-range interactions. Zbl 0898.60098Zegarlinski, Bogusław 1 1998 Non-periodic long-range order for one-dimensional pair interactions. Zbl 0948.82001van Enter, Aernout C. D.; Zegarlinski, Boguslaw 1 1997 Decay to equilibrium in random spin systems on a lattice. II. Zbl 0935.82039Guionnet, Alice; Zegarlinski, Boguslaw 1 1997 A remark on differentiability of the pressure functional. Zbl 0831.60112van Enter, Aernout; Zegarlinski, Boguslaw 1 1995 Recent progress in the hypercontractive semigroups. Zbl 0846.60094Zegarlinski, Boguslaw 1 1995 A non-linear kinetic model of self-propelled particles with multiple equilibria. Zbl 1428.35598Buttà, Paolo; Flandoli, Franco; Ottobre, Michela; Zegarlinski, Boguslaw 1 2019 Long- and short-time behaviour of hypocoercive-type operators in infinite dimensions: An analytic approach. Zbl 06798304Kontis, V.; Ottobre, M.; Zegarlinski, B. 1 2017 Markov semigroups with hypocoercive-type generator in infinite dimensions: ergodicity and smoothing. Zbl 1341.47055Kontis, V.; Ottobre, M.; Zegarlinski, B. 5 2016 Linear and nonlinear dissipative dynamics. Zbl 1376.37115Zegarliński, B. 1 2016 Monotone norms and Finsler structures in noncommutative spaces. Zbl 1320.46047Al-Rashed, Maryam H. A.; Zegarliński, Bogusław 2 2014 Nonlinear Markov semigroups on \(C^{\ast}\)-algebras. Zbl 1297.47064Ługiewicz, P.; Olkiewicz, R.; Zegarlinski, B. 2 2013 Ergodicity of Markov semigroups with Hörmander type generators in infinite dimensions. Zbl 1257.47047Dragoni, Federica; Kontis, Vasilis; Zegarliński, Bogusław 8 2012 Sub-Gaussian measures and associated semilinear problems. Zbl 1248.35227Fougères, Pierre; Roberto, Cyril; Zegarliński, Boguslaw 4 2012 Ergodicity for infinite particle systems with locally conserved quantities. Zbl 1268.60120Inglis, J.; Neklyudov, M.; Zegarliński, B. 4 2012 From \(U\)-bounds to isoperimetry with applications to H-type groups. Zbl 1210.26017Inglis, J.; Kontis, V.; Zegarliński, B. 8 2011 Noncommutative Orlicz spaces associated to a state. II. Zbl 1221.46065Al-Rashed, Maryam H. A.; Zegarliński, Bogusław 4 2011 Conservative interacting particles system with anomalous rate of ergodicity. Zbl 1230.82036Brzeźniak, Z.; Flandoli, F.; Neklyudov, M.; Zegarliński, B. 1 2011 Analysis on extended Heisenberg group. Zbl 1253.47028Zegarliński, B. 1 2011 Coercive inequalities on metric measure spaces. Zbl 1189.26032Hebisch, W.; Zegarliński, B. 15 2010 Asymptotic behaviour of reversible chemical reaction-diffusion equations. Zbl 1221.35065Gentil, Ivan; Zegarlinski, Bogusław 8 2010 Existence and exponential mixing of infinite white \(\alpha\)-stable systems with unbounded interactions. Zbl 1221.37160Xu, Lihu; Zegarlinski, Boguslaw 7 2010 Liggett-type inequalities and interacting particle systems: the Gaussian case. Zbl 1266.60157Inglis, J.; Neklyudov, M.; Zegarlinski, B. 2 2010 Ergodic properties of diffusion-type quantum dynamical semigroups. Zbl 1200.81098Ługiewicz, P.; Olkiewicz, R.; Zegarlinski, B. 2 2010 Distributions with slow tails and ergodicity of Markov semigroups in infinite dimensions. Zbl 1200.60020Bobkov, Sergey; Zegarlinski, Boguslaw 2 2010 Linear and nonlinear concentration phenomena. Zbl 1241.47035Zegarliński, B. 1 2010 Ergodicity of the finite and infinite dimensional \(\alpha \)-stable systems. Zbl 1181.60150Xu, Lihu; Zegarliński, Bogusław 8 2009 Nonlinear problems in infinite interacting particle systems. Zbl 1160.47060Olkiewicz, Robert; Xu, Lihu; Zegarliński, Bogusław 3 2008 Coercive inequalities for Hörmander type generators in infinite dimensions. Zbl 1128.58009Ługiewicz, P.; Zegarliński, B. 15 2007 Orlicz-Sobolev inequalities for sub-Gaussian measures and ergodicity of Markov semi-groups. Zbl 1120.28013Roberto, C.; Zegarliński, B. 15 2007 Noncommutative Orlicz spaces associated to a state. Zbl 1126.46042Al-Rashed, Maryam H. A.; Zegarliński, Bogusław 8 2007 Remark on the integration by parts formula for the \(\phi_3^4\)-quantum field model. Zbl 1091.81064Albeverio, Sergio; Liang, Song; Zegarlinski, Boguslav 4 2006 Entropy bounds and isoperimetry. Zbl 1161.46300Bobkov, S. G.; Zegarlinski, B. 32 2005 Semi-linear problems in infinite dimensions. Zbl 1100.35113Fougères, P.; Zegarliński, B. 6 2005 Lectures on logarithmic Sobolev inequalities. Zbl 1125.60111Guionnet, A.; Zegarlinski, B. 70 2003 Isoperimetry for Gibbs measures. Zbl 1027.60099Zegarlinski, Bogusław 4 2001 Entropy bounds for Gibbs measures with non-Gaussian tails. Zbl 0992.60096Zegarliński, Bogusław 4 2001 XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17–22, 2000. Zbl 0994.00023Grigoryan, A. (ed.); Fokas, A. (ed.); Kibble, T. (ed.); Zegarlinski, B. (ed.) 1 2001 Hypercontractivity via spectral theory. Zbl 1040.47503Bodineau, T.; Zegarlinski, B. 10 2000 Hypercontractivity in non-commutative \(L_p\) spaces. Zbl 1106.46309Zegarliński, Bogusław 1 2000 Ergodicity for generalized Kawasaki dynamics. Zbl 0980.82019Kondrat, G.; Peszat, S.; Zegarlinski, B. 1 2000 Hypercontractivity in noncommutative \(L_1\) spaces. Zbl 0923.46066Olkiewicz, Robert; Zegarlinski, Bogusław 34 1999 Coercive inequalities for Kawasaki dynamics. The product case. Zbl 0934.60096Bertini, L.; Zegarlinski, B. 16 1999 Coercive inequalities for Gibbs measures. Zbl 0932.60061Bertini, Lorenzo; Zegarlinski, Bogusław 13 1999 On quantum stochastic dynamics for quantum spin systems on a lattice: Low temperature problem. Zbl 1017.82008Majewski, Adam W.; Zegarlinski, Boguslaw 1 1999 Dissipative dynamics for quantum spin systems on a lattice. Zbl 0917.46059Majewski, Adam W.; Olkiewicz, Robert; Zegarlinski, Boguslaw 6 1998 Stochastic dynamics of quantum spin systems. Zbl 0979.46048Majewski, Adam W.; Olkiewicz, Robert; Zegarliński, Bogusław 1 1998 Random spin systems with long-range interactions. Zbl 0898.60098Zegarlinski, Bogusław 1 1998 Non-periodic long-range order for one-dimensional pair interactions. Zbl 0948.82001van Enter, Aernout C. D.; Zegarlinski, Boguslaw 1 1997 Decay to equilibrium in random spin systems on a lattice. II. Zbl 0935.82039Guionnet, Alice; Zegarlinski, Boguslaw 1 1997 The strong decay to equilibrium for the stochastic dynamics of unbounded spin systems on a lattice. Zbl 0844.46050Zegarlinski, Boguslaw 32 1996 Quantum stochastic dynamics. II. Zbl 0863.46041Majewski, Adam W.; Zegarlinski, Boguslaw 9 1996 Decay to equilibrium in random spin systems on a lattice. Zbl 0882.60093Guionnet, Alice; Zegarlinski, Boguslaw 8 1996 On quantum stochastic dynamics and noncommutative \(L_ p\) spaces. Zbl 0846.46044Majewski, Adam W.; Zegarlinski, Boguslaw 5 1996 On quantum stochastic dynamics. Zbl 0876.46041Majewski, A. W.; Zegarlinski, B. 2 1996 On the ergodic properties of Glauber dynamics. Zbl 1081.60562Stroock, D.; Zegarliński, B. 9 1995 Quantum stochastic dynamics. I. Zbl 0827.58064Majewski, Adam W.; Zegarlinski, Boguslaw 6 1995 Ergodicity of Markov semigroups. Zbl 0824.47034Zegarlinski, Boguslaw 5 1995 Gibbsian description and description by stochastic dynamics in the statistical mechanics of lattice spin systems with finite range interactions. Zbl 0835.60091Zegarlinski, Boguslaw 2 1995 A remark on differentiability of the pressure functional. Zbl 0831.60112van Enter, Aernout; Zegarlinski, Boguslaw 1 1995 Recent progress in the hypercontractive semigroups. Zbl 0846.60094Zegarlinski, Boguslaw 1 1995 Strong decay to equilibrium in one-dimensional random spin systems. Zbl 0839.60102Zegarlinski, Boguslaw 5 1994 Spin systems with long-range interactions. Zbl 0830.60099Zegarlinski, Boguslaw 2 1994 The logarithmic Sobolev inequality for discrete spin systems on a lattice. Zbl 0758.60070Stroock, Daniel W.; Zegarlinski, Boguslaw 63 1992 The equivalence of the logarithmic Sobolev inequality and the Dobrushin- Shlosman mixing condition. Zbl 0745.60104Stroock, Daniel W.; Zegarlinski, Boguslaw 57 1992 The logarithmic Sobolev inequality for continuous spin systems on a lattice. Zbl 0794.46025Stroock, Daniel W.; Zegarlinski, Boguslaw 34 1992 Dobrushin uniqueness theorem and logarithmic Sobolev inequalities. Zbl 0761.46020Zegarlinski, Boguslaw 28 1992 Rigorous results for the free energy in the Hopfield model. Zbl 0770.92003Albeverio, S.; Tirozzi, B.; Zegarlinski, B. 7 1992 Global Markov property in quantum field theory and statistical mechanics: A review on results and problems. Zbl 0784.60100Albeverio, Sergio; Zegarliński, Boguslaw 2 1992 Interactions and pressure functionals for disordered lattice systems. Zbl 0747.58066Zegarlinski, Boguslav 8 1991 On log-Sobolev inequalities for infinite lattice systems. Zbl 0717.47015Zegarlinski, Boguslaw 22 1990 Log-Sobolev inequalities for infinite one-dimensional lattice systems. Zbl 0713.60080Zegarlinski, Boguslaw 19 1990 Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds. Zbl 0708.60101Albeverio, Sergio; Zegarlinski, Boguslav 8 1990 The Dirichlet problem for quasi-linear partial differential operators with boundary data given by a distribution. Zbl 0794.35057Röckner, Michael; Zegarlinski, Boguslaw 4 1990 On equivalence of spin and field pictures of lattice systems. Zbl 0718.60118Zegarlinski, Boguslav 3 1990 Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions. Zbl 0668.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 8 1989 Spin glasses and other lattice systems with long range interactions. Zbl 0661.60128Fröhlich, J.; Zegarlinski, B. 8 1989 Uniqueness of Gibbs states for general \(P(\phi)_ 2\)-weak coupling models by cluster expansion. Zbl 0698.60093Albeverio, Sergio; Høegh-Krohn, Raphael; Zegarlinski, Boguslav 2 1989 Extremality and the global Markov property. I: The Euclidean fields on a lattice. Zbl 0617.60048Zegarliński, Boguslaw 3 1987 Extremality and the global Markov property II: The global Markov property for non-FKG maximal Gibbs measures. Zbl 0651.60107Zegarliński, Boguslaw 3 1986 The Gibbs measures and partial differential equations. I. Ideas and local aspects. Zbl 0608.60093Zegarliński, Boguslaw 2 1986 The Gibbs measures and partial differential equations. Zbl 0558.60078Zegarlinski, Boguslaw 2 1985 Uniqueness and the global Markov property for Euclidean fields: The case of general exponential interaction. Zbl 0576.60097Zegarliński, Bogusław 15 1984 all cited Publications top 5 cited Publications all top 5 Cited by 377 Authors 46 Zegarlinski, Boguslaw 20 Albeverio, Sergio A. 12 Röckner, Michael 10 Wang, Feng-Yu 8 Martinelli, Fabio 8 Menz, Georg 7 Barthe, Franck 7 Cattiaux, Patrick 7 Guillin, Arnaud 7 Otto, Felix 7 Park, Yong Moon 7 Xu, Lihu 6 Gentil, Ivan 6 Kondrat’yev, Yuriĭ Grygorovych 6 Roberto, Cyril 6 Sly, Allan 5 Kastoryano, Michael J. 5 Milman, Emanuel 5 Olkiewicz, Robert 5 Papageorgiou, Ioannis 5 Wu, Liming 5 Yau, Horng-Tzer 4 Caputo, Pietro 4 Carbone, Raffaella 4 Cipriani, Fabio 4 Dai Pra, Paolo 4 Daletskii, Alexei 4 Gielerak, Roman 4 Inglis, James D. 4 Junge, Marius 4 Kontis, Vasilis 4 Landim, Claudio 4 Lubetzky, Eyal 4 Ottobre, Michela 4 Posta, Gustavo 4 Redig, Frank 4 Rouzé, Cambyse 4 Tang, Bao Quoc 4 Temme, Kristan 4 Yoshida, Nobuo 3 Beigi, Salman 3 Bodineau, Thierry 3 Capitaine, Mireille 3 Datta, Nilanjana 3 Fellner, Klemens 3 Gozlan, Nathael 3 Ko, Chul Ki 3 Kolesnikov, Alexander V. 3 Kwon, Younghak 3 Ługiewicz, Piotr 3 Ma, Yutao 3 Majewski, Wladyslaw Adam 3 Mossel, Elchanan 3 Mourrat, Jean-Christophe 3 Olivieri, Enzo 3 Pasurek, Tatiana 3 Saloff-Coste, Laurent 3 Soshnikov, Alexander B. 3 Stilck França, Daniel 3 Stroock, Daniel W. 3 Wang, Ran 3 Zabczyk, Jerzy 3 Zhang, Zhengliang 3 Zitt, Pierre-André 2 Alrashed, Maryam H. A. 2 Bahn, Changsoo 2 Bertini, Lorenzo Bertini 2 Bobkov, Sergey Germanovich 2 Bonnefont, Michel 2 Chazottes, Jean-René 2 Chen, Mu-Fa 2 Cheng, Hao-Chung 2 Contucci, Pierluigi 2 Cubitt, Toby S. 2 Da Prato, Giuseppe 2 Diaconis, Persi Warren 2 Dong, Zhao 2 Einav, Amit 2 Fougères, Pierre 2 Giardinà, Cristian 2 Gielis, Guy 2 Gubinelli, Massimiliano 2 Guerra, Francesco 2 Guionnet, Alice 2 Hebisch, Waldemar 2 Helffer, Bernard 2 Høegh-Krohn, Raphael J. 2 Hsieh, Min-Hsiu 2 Huang, Jianhua 2 Iwata, Koichiro 2 Jagannath, Aukosh 2 Jenčová, Anna 2 Jiang, Lining 2 Kang, Cholryong 2 Kozitsky, Yuri V. 2 Labuschagne, Louis E. 2 Lemle, Ludovic Dan 2 Li, Lina 2 Ma, Zhenhua 2 Maes, Christian ...and 277 more Authors all top 5 Cited in 100 Serials 41 Journal of Functional Analysis 38 Journal of Statistical Physics 37 Communications in Mathematical Physics 32 Journal of Mathematical Physics 16 Probability Theory and Related Fields 13 The Annals of Probability 13 Infinite Dimensional Analysis, Quantum Probability and Related Topics 11 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 9 Stochastic Processes and their Applications 9 Potential Analysis 7 Journal of Mathematical Analysis and Applications 6 Reviews in Mathematical Physics 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Annales Henri Poincaré 4 The Annals of Applied Probability 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Letters in Mathematical Physics 3 Reports on Mathematical Physics 3 Inventiones Mathematicae 3 SIAM Journal on Mathematical Analysis 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Bernoulli 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chinese Annals of Mathematics. Series B 2 Stochastic Analysis and Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Theoretical Probability 2 Linear Algebra and its Applications 2 Annales Mathématiques Blaise Pascal 2 Electronic Journal of Probability 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Mathematical Physics 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 International Journal of Theoretical Physics 1 Mathematical Notes 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Demonstratio Mathematica 1 Dissertationes Mathematicae 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Applied Probability 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Semigroup Forum 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Applied Mathematics Letters 1 Journal of the American Mathematical Society 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Random Structures & Algorithms 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Geometric and Functional Analysis. GAFA 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Chinese Science Bulletin 1 Indagationes Mathematicae. New Series 1 Combinatorics, Probability and Computing 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Open Systems & Information Dynamics 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Brazilian Journal of Probability and Statistics 1 Stochastics and Dynamics 1 Multiscale Modeling & Simulation 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Kinetic and Related Models 1 Science China. Mathematics 1 Journal of Spectral Theory 1 Bulletin of Mathematical Sciences 1 ISRN Mathematical Physics 1 Journal of Applied Analysis and Computation 1 SIAM/ASA Journal on Uncertainty Quantification all top 5 Cited in 42 Fields 230 Probability theory and stochastic processes (60-XX) 141 Statistical mechanics, structure of matter (82-XX) 66 Operator theory (47-XX) 61 Quantum theory (81-XX) 60 Functional analysis (46-XX) 46 Partial differential equations (35-XX) 38 Real functions (26-XX) 28 Global analysis, analysis on manifolds (58-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Information and communication theory, circuits (94-XX) 16 Difference and functional equations (39-XX) 14 Measure and integration (28-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Potential theory (31-XX) 7 Convex and discrete geometry (52-XX) 6 Combinatorics (05-XX) 6 Topological groups, Lie groups (22-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 6 Computer science (68-XX) 6 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 4 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year