Cover Page. Author: Mart ınez, Juli an Facundo Title: Dynamical Gibbs-non-Gibbs transitions and Brownian percolation Issue Date:
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1 Cover Page The handle holds various files of this Leiden University dissertation Author: Mart ınez, Juli an Facundo Title: Dynamical Gibbs-non-Gibbs transitions and Brownian percolation Issue Date:
2 [BCC05] [BK89] Peter W. Bates, Xinfu Chen, and Adam J. J. Chmaj. Heteroclinic solutions of a van der Waals model with indefinite nonlocal interactions. Calc. Var. Partial Differential Equations, 24(3): , R.M.BurtonandM.Keane. Densityanduniquenessinpercolation. Comm. Math. Phys., 121(3): , [BMO + 12] O. Benois, M. Mourragui, E. Orlandi, E. Saada, and L. Triolo. Quenched large deviations for Glauber evolution with Kac interaction and random field. Markov Process. Related Fields, 18(2): , [Bov06] [CES86] [Com87] [dh00] [dh04] Anton Bovier. Statistical mechanics of disordered systems. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge, A mathematical perspective. F. Comets, Th. Eisele, and M. Schatzman. On secondary bifurcations for some nonlinear convolution equations. Trans. Amer. Math. Soc., 296(2): , Francis Comets. Nucleation for a long range magnetic model. Ann. Inst. H. Poincaré Probab. Statist., 23(2): , Frank den Hollander. Large deviations, volume 14 offields Institute Monographs. American Mathematical Society, Providence, RI, F. den Hollander. Gibbs under stochastic dynamics? Markov Process. Related Fields, 10(3): , [dhrvz13] F. den Hollander, F. Redig, and W. van Zuijlen. Gibbs-non-gibbs dynamical transitions for mean-field interacting brownian motions. arxiv preprint: , [DM13] Pavel Drábek and Jaroslav Milota. Methods of nonlinear analysis. Birkhäuser Advanced Texts: Basler Lehrbücher. [Birkhäuser Advanced Texts: BaselTextbooks]. Birkhäuser/SpringerBasel AG, Basel, second edition, Applications to differential equations. [DMOPT94] A. De Masi, E. Orlandi, E. Presutti, and L. Triolo. Stability of the interface in a model of phase separation. Proc. Roy. Soc. Edinburgh Sect. A, 124(5): ,
3 [DR05] [DS99] [DZ98] [EE83] [EK10] [EMP13] David Dereudre and Sylvie Rœlly. Propagationof Gibbsianness for infinitedimensional gradientbrowniandiffusions. J. Stat. Phys., 121(3-4): , R. L. Dobrushin and S. B. Shlosman. Non-Gibbsian states and their Gibbs description. Comm. Math. Phys., 200(1): , Amir Dembo and Ofer Zeitouni. Large deviations techniques and applications, volume 38 of Applications of Mathematics (New York). Springer- Verlag, New York, second edition, TheodorEiseleandRichardS.Ellis. Symmetrybreakingandrandomwaves for magnetic systems on a circle. Z. Wahrsch. Verw. Gebiete, 63(3): , Victor Ermolaev and Christof Külske. Low-temperature dynamics of the Curie-Weiss model: periodic orbits, multiple histories, and loss of Gibbsianness. J. Stat. Phys., 141(5): , D. Erhard, J. Martínez, and J. Poisat. Brownian paths homogeneously distributed in space: Percolation phase transition and uniqueness of the unbounded cluster. arxiv preprint: , [FdHM13a] R. Fernández, F. den Hollander, and J. Martínez. Variational description of Gibbs-non-Gibbs dynamical transitions for spin-flip systems with a kactype interaction. arxiv preprint: , [FdHM13b] R. Fernández, F. den Hollander, and J. Martínez. Variationaldescriptionof Gibbs-non-Gibbs dynamical transitions for the Curie-Weiss model. Comm. Math. Phys., 319(3): , [Fer06] [FK06] [Geo11] Roberto Fernández. Gibbsianness and non-gibbsianness in lattice random fields. In Mathematical statistical physics, pages Elsevier B. V., Amsterdam, Jin Feng and Thomas G. Kurtz. Large deviations for stochastic processes, volume 131 of Mathematical Surveys and Monographs. American Mathematical Society, Providence, RI, Hans-Otto Georgii. Gibbs measures and phase transitions, volume 9 of de Gruyter Studies in Mathematics. Walter de Gruyter & Co., Berlin, second edition, [Gil61] E. N. Gilbert. Random plane networks. J. Soc. Indust. Appl. Math., 9: , [GKN92] A. Gandolfi, M. S. Keane, and C. M. Newman. Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses. Probab. Theory Related Fields, 92(4): ,
4 [Gou08] [Isr81] [KL99] [KLN07] [KLNR04] [KO08a] [KO08b] [Koz74] [KR06] [Kül01] [Kül03] [Lef99] Jean-Baptiste Gouéré. Subcritical regimes in the Poisson Boolean model of continuum percolation. Ann. Probab., 36(4): , R. Israel. Banach algebras and Kadanoff transformation. Random Fields, 2, Claude Kipnis and Claudio Landim. Scaling limits of interacting particle systems, volume 320 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, Christof Külske and Arnaud Le Ny. Spin-flip dynamics of the Curie-Weiss model: loss of Gibbsianness with possibly broken symmetry. Comm. Math. Phys., 271(2): , Christof Külske, Arnaud Le Ny, and Frank Redig. Relative entropy and variational properties of generalized Gibbsian measures. Ann. Probab., 32(2): , Christof Külske and Alex A. Opoku. Continuous spin mean-field models: limiting kernels and Gibbs properties of local transforms. J. Math. Phys., 49(12):125215, 31, ChristofKülskeand Alex A. Opoku. The posteriormetric andthe goodness of Gibbsianness for transforms of Gibbs measures. Electron. J. Probab., 13:no. 47, , O. K. Kozlov. A Gibbs description of a system of random variables. Problemy Peredači Informacii, 10(3):94 103, Christof Külske and Frank Redig. Loss without recovery of Gibbsianness during diffusion of continuous spins. Probab. Theory Related Fields, 135(3): , Christof Külske. Weakly Gibbsian representations for joint measures of quenched lattice spin models. Probab. Theory Related Fields, 119(1):1 30, Christof Külske. Analogues of non-gibbsianness in joint measures of disordered mean field models. J. Statist. Phys., 112(5-6): , R. Lefevere. Weakly Gibbsian measures and quasilocality: a long-range pair-interaction counterexample. J. Statist. Phys., 95(3-4): , [Lig85] Thomas M. Liggett. Interacting particle systems, volume 276 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]. Springer-Verlag, New York,
5 [LN08a] Arnaud Le Ny. Gibbsian description of mean-field models. In In and out of equilibrium. 2, volume 60 of Progr. Probab., pages Birkhäuser, Basel, [LN08b] Arnaud Le Ny. Introduction to (generalized) Gibbs measures, volume 15 of Ensaios Matemáticos [Mathematical Surveys]. Sociedade Brasileira de Matemática, Rio de Janeiro, [LNR02] [LP66] [LSS97] [MMS86] [MP10] [MR94] [MR96] Arnaud Le Ny and Frank Redig. Short time conservation of Gibbsianness under local stochastic evolutions. J. Statist. Phys., 109(5-6): , J. L. Lebowitz and O. Penrose. Rigorous treatment of the van der Waals- Maxwelltheoryofthe liquid-vaportransition. J. Mathematical Phys., 7:98 113, T.M.Liggett, R. H.Schonmann, anda.m. Stacey. Dominationbyproduct measures. Ann. Probab., 25(1):71 95, M. V. Men shikov, S. A. Molchanov, and A. F. Sidorenko. Percolation theory and some applications. In Probability theory. Mathematical statistics. Theoretical cybernetics, Vol. 24 (Russian), Itogi Nauki i Tekhniki, pages , i. Akad. Nauk SSSR Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, Translated in J. Soviet Math. 42 (1988), no. 4, PeterMörtersandYuval Peres. Brownian motion. CambridgeSeriesin Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge, With an appendix by Oded Schramm and Wendelin Werner. Ronald Meester and Rahul Roy. Uniqueness of unbounded occupied and vacant components in Boolean models. Ann. Appl. Probab., 4(3): , Ronald Meester and Rahul Roy. Continuum percolation, volume 119 of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge, [MRVM99] C. Maes, F. Redig, and A. Van Moffaert. Almost Gibbsian versus weakly Gibbsian measures. Stochastic Process. Appl., 79(1):1 15, [Opo09] [OV05] [Pen95] AlexAkwasiOpoku. On Gibbs properties of transforms of lattice and meanfield systems. Phd thesis, Rijksuniversiteit Groningen., Enzo Olivieri and Maria Eulália Vares. Large deviations and metastability, volume 100 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge, Mathew D. Penrose. Continuity of critical density in a boolean model. unpublished notes,
6 [Pre09] [RRR10] [RW12] [Sul73] [Szn10] [ve12] Errico Presutti. Scaling limits in statistical mechanics and microstructures in continuum mechanics. Theoretical and Mathematical Physics. Springer, Berlin, Frank Redig, Sylvie Rœlly, and Wioletta Ruszel. Short-time Gibbsianness for infinite-dimensional diffusions with space-time interaction. J. Stat. Phys., 138(6): , F. Redig and F. Wang. Gibbs-non-gibbs transitions via large deviations: computable examples. Journal of Statistical Physics, 147(6): , W. G. Sullivan. Potentials for almost Markovian random fields. Comm. Math. Phys., 33:61 74, Alain-Sol Sznitman. Vacant set of random interlacements and percolation. Ann. of Math. (2), 171(3): , A.C.D. van Enter. On the prevalence of non-gibbsian states in mathematical physics. IAMP News Bulletin, April 2012:15 24, [vefdhr02] A. C. D. van Enter, R. Fernández, F. den Hollander, and F. Redig. Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures. Comm. Math. Phys., 226(1): , [vefdhr10] A. C. D. van Enter, R. Fernández, F. den Hollander, and F. Redig. A largedeviation view on dynamical Gibbs-non-Gibbs transitions. Mosc. Math. J., 10(4): , 838, [vefs93] [vek07] Aernout C. D. van Enter, Roberto Fernández, and Alan D. Sokal. Regularity properties and pathologies of position-space renormalization-group transformations: scopeandlimitationsofgibbsiantheory. J. Statist. Phys., 72(5-6): , Aernout C. D. van Enter and Christof Külske. Two connections between randomsystemsandnon-gibbsianmeasures. J. Stat. Phys., 126(4-5): , [vekor10] AernoutC.D. vanenter,christofkülske, AlexA.Opoku, andwiolettam. Ruszel. Gibbs non-gibbs properties for n-vector lattice and mean-field models. Braz. J. Probab. Stat., 24(2): , [vel96] [ver08] Aernout C. D. van Enter and József Lörinczi. Robustness of the non- Gibbsian property: some examples. J. Phys. A, 29(10): , A. C. D. van Enter and W. M. Ruszel. Loss and recovery of Gibbsianness for XY models in external fields. J. Math. Phys., 49(12):125208, 8,
7 [ver09] [verv08] [vev04] [Yan11] A. C. D. van Enter and W. M. Ruszel. Gibbsianness versus non- Gibbsianness of time-evolved planar rotor models. Stochastic Process. Appl., 119(6): , Aernout C. D. van Enter, Frank Redig, and Evgeny Verbitskiy. Gibbsian and non-gibbsian states at Eurandom. Statist. Neerlandica, 62(3): , A. C. D. van Enter and E. A. Verbitskiy. On the variational principle for generalized Gibbs measures. Markov Process. Related Fields, 10(3): , Xiangfeng Yang. Integral convergence related to weak convergence of measures. Appl. Math. Sci. (Ruse), 5(53-56): ,
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