Redig, Frank; van Wiechen, Hidde Ergodic theory of multi-layer interacting particle systems. (English) Zbl 07687878 J. Stat. Phys. 190, No. 4, Paper No. 88, 19 p. (2023). MSC: 82Cxx 60Kxx 60Jxx PDFBibTeX XMLCite \textit{F. Redig} and \textit{H. van Wiechen}, J. Stat. Phys. 190, No. 4, Paper No. 88, 19 p. (2023; Zbl 07687878) Full Text: DOI arXiv
Floreani, Simone; Redig, Frank; Sau, Federico Orthogonal polynomial duality of boundary driven particle systems and non-equilibrium correlations. (English) Zbl 1491.60176 Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 220-247 (2022). MSC: 60K35 60K37 82C22 82C23 PDFBibTeX XMLCite \textit{S. Floreani} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 58, No. 1, 220--247 (2022; Zbl 1491.60176) Full Text: DOI arXiv
Floreani, Simone; Giardinà, Cristian; den Hollander, Frank; Nandan, Shubhamoy; Redig, Frank Switching interacting particle systems: scaling limits, uphill diffusion and boundary layer. (English) Zbl 1483.60067 J. Stat. Phys. 186, No. 3, Paper No. 33, 45 p. (2022). MSC: 60G50 60K35 82C26 92D25 PDFBibTeX XMLCite \textit{S. Floreani} et al., J. Stat. Phys. 186, No. 3, Paper No. 33, 45 p. (2022; Zbl 1483.60067) Full Text: DOI arXiv
Chazottes, Jean-René; Collet, Pierre; Redig, Frank Evolution of concentration under lattice spin-flip dynamics. (English) Zbl 1468.60113 J. Stat. Phys. 184, No. 1, Paper No. 5, 21 p. (2021). MSC: 60K35 82B20 82C22 PDFBibTeX XMLCite \textit{J.-R. Chazottes} et al., J. Stat. Phys. 184, No. 1, Paper No. 5, 21 p. (2021; Zbl 1468.60113) Full Text: DOI arXiv
Kraaij, Richard C.; Redig, Frank; van Zuijlen, Willem B. A Hamilton-Jacobi point of view on mean-field Gibbs-non-Gibbs transitions. (English) Zbl 1469.49027 Trans. Am. Math. Soc. 374, No. 8, 5287-5329 (2021). MSC: 49L25 60F10 82C22 82C27 35F21 60K35 60J65 PDFBibTeX XMLCite \textit{R. C. Kraaij} et al., Trans. Am. Math. Soc. 374, No. 8, 5287--5329 (2021; Zbl 1469.49027) Full Text: DOI arXiv
Ayala, Mario; Carinci, Gioia; Redig, Frank Condensation of SIP particles and sticky Brownian motion. (English) Zbl 1473.82022 J. Stat. Phys. 183, No. 3, Paper No. 40, 42 p. (2021). MSC: 82C22 60K35 82C20 82C41 60J65 PDFBibTeX XMLCite \textit{M. Ayala} et al., J. Stat. Phys. 183, No. 3, Paper No. 40, 42 p. (2021; Zbl 1473.82022) Full Text: DOI arXiv
van Ginkel, Bart; van Gisbergen, Bart; Redig, Frank Run-and-tumble motion: the role of reversibility. (English) Zbl 1467.82079 J. Stat. Phys. 183, No. 3, Paper No. 44, 31 p. (2021). MSC: 82C41 60F10 PDFBibTeX XMLCite \textit{B. van Ginkel} et al., J. Stat. Phys. 183, No. 3, Paper No. 44, 31 p. (2021; Zbl 1467.82079) Full Text: DOI arXiv
Carinci, Gioia; Floreani, Simone; Giardinà, Cristian; Redig, Frank Boundary driven Markov gas: duality and scaling limits. arXiv:2112.12698 Preprint, arXiv:2112.12698 [math.PR] (2021). MSC: 60J70 60K35 82C22 BibTeX Cite \textit{G. Carinci} et al., ``Boundary driven Markov gas: duality and scaling limits'', Preprint, arXiv:2112.12698 [math.PR] (2021) Full Text: arXiv OA License
Floreani, Simone; Jansen, Sabine; Redig, Frank; Wagner, Stefan Intertwining and Duality for Consistent Markov Processes. arXiv:2112.11885 Preprint, arXiv:2112.11885 [math.PR] (2021). MSC: 60J70 60K35 82C22 BibTeX Cite \textit{S. Floreani} et al., ``Intertwining and Duality for Consistent Markov Processes'', Preprint, arXiv:2112.11885 [math.PR] (2021) Full Text: arXiv OA License
Redig, Frank; Saada, Ellen; Sau, Federico Symmetric simple exclusion process in dynamic environment: hydrodynamics. (English) Zbl 1469.60345 Electron. J. Probab. 25, Paper No. 138, 47 p. (2020). MSC: 60K35 60K37 60J28 60F17 82C22 PDFBibTeX XMLCite \textit{F. Redig} et al., Electron. J. Probab. 25, Paper No. 138, 47 p. (2020; Zbl 1469.60345) Full Text: DOI arXiv Euclid
Chazottes, J.-R.; Moles, J.; Redig, F.; Ugalde, E. Gaussian concentration and uniqueness of equilibrium states in lattice systems. (English) Zbl 1466.60199 J. Stat. Phys. 181, No. 6, 2131-2149 (2020). MSC: 60K35 82B20 60K40 PDFBibTeX XMLCite \textit{J. R. Chazottes} et al., J. Stat. Phys. 181, No. 6, 2131--2149 (2020; Zbl 1466.60199) Full Text: DOI arXiv
Carinci, Gioia; Giardinà, Cristian; Redig, Frank Exact formulas for two interacting particles and applications in particle systems with duality. (English) Zbl 1460.82013 Ann. Appl. Probab. 30, No. 4, 1934-1970 (2020). MSC: 82C22 82C41 82C20 60K35 60J65 PDFBibTeX XMLCite \textit{G. Carinci} et al., Ann. Appl. Probab. 30, No. 4, 1934--1970 (2020; Zbl 1460.82013) Full Text: DOI arXiv Euclid
Van Ginkel, Bart; Redig, Frank Hydrodynamic limit of the symmetric exclusion process on a compact Riemannian manifold. (English) Zbl 1435.82021 J. Stat. Phys. 178, No. 1, 75-116 (2020). MSC: 82C22 82C41 60J65 58J60 PDFBibTeX XMLCite \textit{B. Van Ginkel} and \textit{F. Redig}, J. Stat. Phys. 178, No. 1, 75--116 (2020; Zbl 1435.82021) Full Text: DOI arXiv
Redig, Frank; Sau, Federico Stochastic duality and eigenfunctions. (English) Zbl 1439.60071 Giacomin, Giambattista (ed.) et al., Stochastic dynamics out of equilibrium. Lecture notes from the IHP trimester, Institut Henri Poincaré (IHP), Paris, France, April – July, 2017. Cham: Springer. Springer Proc. Math. Stat. 282, 621-649 (2019). MSC: 60J25 82C22 60J35 PDFBibTeX XMLCite \textit{F. Redig} and \textit{F. Sau}, Springer Proc. Math. Stat. 282, 621--649 (2019; Zbl 1439.60071) Full Text: DOI arXiv
Carinci, Gioia; Franceschini, Chiara; Giardiná, Cristian; Groenevelt, Wolter; Redig, Frank Orthogonal dualities of Markov processes and unitary symmetries. (English) Zbl 1423.60116 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 053, 27 p. (2019). MSC: 60J25 82C22 22E60 PDFBibTeX XMLCite \textit{G. Carinci} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 053, 27 p. (2019; Zbl 1423.60116) Full Text: DOI arXiv
Redig, Frank; Sau, Federico Factorized duality, stationary product measures and generating functions. (English) Zbl 1407.82032 J. Stat. Phys. 172, No. 4, 980-1008 (2018). MSC: 82C22 60J25 33C45 PDFBibTeX XMLCite \textit{F. Redig} and \textit{F. Sau}, J. Stat. Phys. 172, No. 4, 980--1008 (2018; Zbl 1407.82032) Full Text: DOI arXiv
Ayala, Mario; Carinci, Gioia; Redig, Frank Quantitative Boltzmann-Gibbs principles via orthogonal polynomial duality. (English) Zbl 1395.82212 J. Stat. Phys. 171, No. 6, 980-999 (2018). MSC: 82C41 82B41 82C22 33C45 60F05 PDFBibTeX XMLCite \textit{M. Ayala} et al., J. Stat. Phys. 171, No. 6, 980--999 (2018; Zbl 1395.82212) Full Text: DOI arXiv
Redig, Frank; Ruszel, Wioletta M.; Saada, Ellen Non-criticality criteria for abelian sandpile models with sources and sinks. (English) Zbl 1400.82080 J. Math. Phys. 59, No. 6, 063302, 15 p. (2018). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82B26 82B27 05C05 82B41 PDFBibTeX XMLCite \textit{F. Redig} et al., J. Math. Phys. 59, No. 6, 063302, 15 p. (2018; Zbl 1400.82080) Full Text: DOI arXiv Link
Chazottes, J.-R.; Collet, P.; Redig, F. On concentration inequalities and their applications for Gibbs measures in lattice systems. (English) Zbl 1382.82008 J. Stat. Phys. 169, No. 3, 504-546 (2017). MSC: 82B20 60F05 60K35 PDFBibTeX XMLCite \textit{J. R. Chazottes} et al., J. Stat. Phys. 169, No. 3, 504--546 (2017; Zbl 1382.82008) Full Text: DOI arXiv
Redig, Frank; Sau, Federico Generalized immediate exchange models and their symmetries. (English) Zbl 1422.91579 Stochastic Processes Appl. 127, No. 10, 3251-3267 (2017). MSC: 91B80 91B15 91B69 82C22 PDFBibTeX XMLCite \textit{F. Redig} and \textit{F. Sau}, Stochastic Processes Appl. 127, No. 10, 3251--3267 (2017; Zbl 1422.91579) Full Text: DOI arXiv
Carinci, Gioia; Giardinà, Cristian; Redig, Frank; Sasamoto, Tomohiro A generalized asymmetric exclusion process with \(U_q(\mathfrak {sl}_2)\) stochastic duality. (English) Zbl 1354.60115 Probab. Theory Relat. Fields 166, No. 3-4, 887-933 (2016). MSC: 60K35 82C22 82C26 PDFBibTeX XMLCite \textit{G. Carinci} et al., Probab. Theory Relat. Fields 166, No. 3--4, 887--933 (2016; Zbl 1354.60115) Full Text: DOI arXiv
Carinci, Gioia; Giardinà, Cristian; Redig, Frank; Sasamoto, Tomohiro Asymmetric stochastic transport models with \(\mathcal{U}_q(\mathfrak{su}(1,1))\) symmetry. (English) Zbl 1353.82049 J. Stat. Phys. 163, No. 2, 239-279 (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C22 60J67 60K35 60J57 17B37 81R50 17B81 20G42 60J60 60F17 82C70 PDFBibTeX XMLCite \textit{G. Carinci} et al., J. Stat. Phys. 163, No. 2, 239--279 (2016; Zbl 1353.82049) Full Text: DOI arXiv
Opoku, Alex; Redig, Frank Coupling and hydrodynamic limit for the inclusion process. (English) Zbl 1360.82062 J. Stat. Phys. 160, No. 3, 532-547 (2015). MSC: 82C22 82B41 82C41 PDFBibTeX XMLCite \textit{A. Opoku} and \textit{F. Redig}, J. Stat. Phys. 160, No. 3, 532--547 (2015; Zbl 1360.82062) Full Text: DOI arXiv
Pérez-Espigares, Carlos; Redig, Frank; Giardinà, Cristian Spatial fluctuation theorem. (English) Zbl 1329.82101 J. Phys. A, Math. Theor. 48, No. 35, Article ID 35FT01, 9 p. (2015). MSC: 82C35 60F10 PDFBibTeX XMLCite \textit{C. Pérez-Espigares} et al., J. Phys. A, Math. Theor. 48, No. 35, Article ID 35FT01, 9 p. (2015; Zbl 1329.82101) Full Text: DOI arXiv
Járai, Antal A.; Redig, Frank; Saada, Ellen Approaching criticality via the zero dissipation limit in the abelian avalanche model. (English) Zbl 1323.82031 J. Stat. Phys. 159, No. 6, 1369-1407 (2015). MSC: 82C22 60K35 82C27 37A60 PDFBibTeX XMLCite \textit{A. A. Járai} et al., J. Stat. Phys. 159, No. 6, 1369--1407 (2015; Zbl 1323.82031) Full Text: DOI arXiv Link
Redig, Frank; Ruszel, Wioletta Multilinearity of the covariances in one-dimensional models out of equilibrium. (English) Zbl 1318.82026 J. Phys. A, Math. Theor. 48, No. 22, Article ID 225002, 11 p. (2015). MSC: 82C22 82C41 82C35 PDFBibTeX XMLCite \textit{F. Redig} and \textit{W. Ruszel}, J. Phys. A, Math. Theor. 48, No. 22, Article ID 225002, 11 p. (2015; Zbl 1318.82026) Full Text: DOI arXiv
Carinci, Gioia; Giardinà, Cristian; Giberti, Claudio; Redig, Frank Dualities in population genetics: a fresh look with new dualities. (English) Zbl 1326.92056 Stochastic Processes Appl. 125, No. 3, 941-969 (2015). MSC: 92D25 60J05 82C22 PDFBibTeX XMLCite \textit{G. Carinci} et al., Stochastic Processes Appl. 125, No. 3, 941--969 (2015; Zbl 1326.92056) Full Text: DOI arXiv
den Hollander, F.; Redig, F.; van Zuijlen, W. Gibbs-non-Gibbs dynamical transitions for mean-field interacting Brownian motions. (English) Zbl 1320.60160 Stochastic Processes Appl. 125, No. 1, 371-400 (2015). MSC: 60K35 60J65 60F10 82C22 82C27 PDFBibTeX XMLCite \textit{F. den Hollander} et al., Stochastic Processes Appl. 125, No. 1, 371--400 (2015; Zbl 1320.60160) Full Text: DOI arXiv
Redig, Frank; Wang, Feijia Hamiltonian and Lagrangian for the trajectory of the empirical distribution and the empirical measure of Markov processes. (English) Zbl 1302.82077 J. Stat. Phys. 157, No. 1, 182-204 (2014). MSC: 82C22 60J65 60J75 PDFBibTeX XMLCite \textit{F. Redig} and \textit{F. Wang}, J. Stat. Phys. 157, No. 1, 182--204 (2014; Zbl 1302.82077) Full Text: DOI arXiv
Peletier, Mark A.; Redig, Frank; Vafayi, Kiamars Large deviations in stochastic heat-conduction processes provide a gradient-flow structure for heat conduction. (English) Zbl 1305.82048 J. Math. Phys. 55, No. 9, 093301, 19 p. (2014). Reviewer: Guy Jumarie (Montréal) MSC: 82C31 60J70 80A20 35K05 60J65 82C20 PDFBibTeX XMLCite \textit{M. A. Peletier} et al., J. Math. Phys. 55, No. 9, 093301, 19 p. (2014; Zbl 1305.82048) Full Text: DOI arXiv Link
Chazottes, Jean-René; Redig, Frank Thermodynamic formalism and large deviations for multiplication-invariant potentials on lattice spin systems. (English) Zbl 1290.82004 Electron. J. Probab. 19, Paper No. 39, 19 p. (2014). MSC: 82B20 60F10 11B25 PDFBibTeX XMLCite \textit{J.-R. Chazottes} and \textit{F. Redig}, Electron. J. Probab. 19, Paper No. 39, 19 p. (2014; Zbl 1290.82004) Full Text: DOI arXiv
Grosskinsky, Stefan; Redig, Frank; Vafayi, Kiamars Dynamics of condensation in the symmetric inclusion process. (English) Zbl 1284.82042 Electron. J. Probab. 18, Paper No. 66, 23 p. (2013). MSC: 82C22 60K35 82C26 82C41 PDFBibTeX XMLCite \textit{S. Grosskinsky} et al., Electron. J. Probab. 18, Paper No. 66, 23 p. (2013; Zbl 1284.82042) Full Text: DOI arXiv
Redig, Frank; Völlering, Florian Random walks in dynamic random environments: a transference principle. (English) Zbl 1277.82051 Ann. Probab. 41, No. 5, 3157-3180 (2013). MSC: 82C41 60F17 PDFBibTeX XMLCite \textit{F. Redig} and \textit{F. Völlering}, Ann. Probab. 41, No. 5, 3157--3180 (2013; Zbl 1277.82051) Full Text: DOI arXiv Euclid
Carinci, Gioia; Giardinà, Cristian; Giberti, Claudio; Redig, Frank Duality for stochastic models of transport. (English) Zbl 1345.60083 J. Stat. Phys. 152, No. 4, 657-697 (2013). MSC: 60J25 60J60 60K35 80A20 82C22 PDFBibTeX XMLCite \textit{G. Carinci} et al., J. Stat. Phys. 152, No. 4, 657--697 (2013; Zbl 1345.60083) Full Text: DOI arXiv
Carinci, Gioia; Chazottes, Jean-René; Giardinà, Cristian; Redig, Frank Nonconventional averages along arithmetic progressions and lattice spin systems. (English) Zbl 1250.82006 Indag. Math., New Ser. 23, No. 3, 589-602 (2012). MSC: 82B20 60F10 PDFBibTeX XMLCite \textit{G. Carinci} et al., Indag. Math., New Ser. 23, No. 3, 589--602 (2012; Zbl 1250.82006) Full Text: DOI arXiv
Redig, Frank; Wang, Feijia Gibbs-non-Gibbs transitions via large deviations: computable examples. (English) Zbl 1255.82043 J. Stat. Phys. 147, No. 6, 1094-1112 (2012). Reviewer: Carlos Escudero (Madrid) MSC: 82C31 PDFBibTeX XMLCite \textit{F. Redig} and \textit{F. Wang}, J. Stat. Phys. 147, No. 6, 1094--1112 (2012; Zbl 1255.82043) Full Text: DOI arXiv
Redig, F.; Ruszel, W. M.; Saada, E. The Abelian sandpile model on a random binary tree. (English) Zbl 1269.82024 J. Stat. Phys. 147, No. 4, 653-677 (2012). Reviewer: Arkady L. Kholodenko (Clemson) MSC: 82B26 82B27 PDFBibTeX XMLCite \textit{F. Redig} et al., J. Stat. Phys. 147, No. 4, 653--677 (2012; Zbl 1269.82024) Full Text: DOI arXiv
Redig, Frank; Vafayi, Kiamars Weak coupling limits in a stochastic model of heat conduction. (English) Zbl 1272.82028 J. Math. Phys. 52, No. 9, 093303, 13 p. (2011). MSC: 82C31 82C35 60J65 80A20 PDFBibTeX XMLCite \textit{F. Redig} and \textit{K. Vafayi}, J. Math. Phys. 52, No. 9, 093303, 13 p. (2011; Zbl 1272.82028) Full Text: DOI arXiv
Chazottes, Jean-René; Redig, Frank; Völlering, Florian The Poincaré inequality for Markov random fields proved via disagreement percolation. (English) Zbl 1231.82036 Indag. Math., New Ser. 22, No. 3-4, 149-164 (2011). MSC: 82C20 82C43 60K35 37A50 PDFBibTeX XMLCite \textit{J.-R. Chazottes} et al., Indag. Math., New Ser. 22, No. 3--4, 149--164 (2011; Zbl 1231.82036) Full Text: DOI arXiv
La Avena, Luca; Den Hollander, Frank; Redig, Frank Law of large numbers for a class of random walks in dynamic random environments. (English) Zbl 1228.60113 Electron. J. Probab. 16, Paper No. 21, 587-617 (2011). Reviewer: Dominique Lepingle (Orléans) MSC: 60K35 82C44 60F10 35B40 60K37 PDFBibTeX XMLCite \textit{L. La Avena} et al., Electron. J. Probab. 16, Paper No. 21, 587--617 (2011; Zbl 1228.60113) Full Text: DOI arXiv EMIS
Grosskinsky, Stefan; Redig, Frank; Vafayi, Kiamars Condensation in the inclusion process and related models. (English) Zbl 1213.82030 J. Stat. Phys. 142, No. 5, 952-974 (2011). MSC: 82B26 82B41 60J65 PDFBibTeX XMLCite \textit{S. Grosskinsky} et al., J. Stat. Phys. 142, No. 5, 952--974 (2011; Zbl 1213.82030) Full Text: DOI arXiv
Redig, Frank; Völlering, Florian Limit theorems for random walks in dynamic random environment. arXiv:1106.4181 Preprint, arXiv:1106.4181 [math.PR] (2011). MSC: 82C41 60F17 BibTeX Cite \textit{F. Redig} and \textit{F. Völlering}, ``Limit theorems for random walks in dynamic random environment'', Preprint, arXiv:1106.4181 [math.PR] (2011) Full Text: arXiv OA License
Redig, F.; Wang, F. Transformations of one-dimensional Gibbs measures with infinite range interaction. (English) Zbl 1228.82029 Markov Process. Relat. Fields 16, No. 4, 737-752 (2010). MSC: 82B28 82B26 PDFBibTeX XMLCite \textit{F. Redig} and \textit{F. Wang}, Markov Process. Relat. Fields 16, No. 4, 737--752 (2010; Zbl 1228.82029) Full Text: arXiv
van Enter, A. C. D.; Fernández, R.; den Hollander, F.; Redig, F. A large-deviation view on dynamical Gibbs-non-Gibbs transitions. (English) Zbl 1221.82046 Mosc. Math. J. 10, No. 4, 687-711 (2010). MSC: 82B26 60F10 60G60 60K35 82C22 PDFBibTeX XMLCite \textit{A. C. D. van Enter} et al., Mosc. Math. J. 10, No. 4, 687--711 (2010; Zbl 1221.82046) Full Text: arXiv Link
Giardinà, C.; Redig, F.; Vafayi, K. Correlation inequalities for interacting particle systems with duality. (English) Zbl 1202.82040 J. Stat. Phys. 141, No. 2, 242-263 (2010). MSC: 82B41 82C41 82C22 PDFBibTeX XMLCite \textit{C. Giardinà} et al., J. Stat. Phys. 141, No. 2, 242--263 (2010; Zbl 1202.82040) Full Text: DOI
Avena, L.; den Hollander, F.; Redig, F. Large deviation principle for one-dimensional random walk in dynamic random environment: attractive spin-flips and simple symmetric exclusion. (English) Zbl 1198.82049 Markov Process. Relat. Fields 16, No. 1, 139-168 (2010). MSC: 82C41 82C44 60H25 60F10 60K37 PDFBibTeX XMLCite \textit{L. Avena} et al., Markov Process. Relat. Fields 16, No. 1, 139--168 (2010; Zbl 1198.82049) Full Text: arXiv
Redig, Frank; Rœlly, Sylvie; Ruszel, Wioletta Short-time Gibbsianness for infinite-dimensional diffusions with space-time interaction. (English) Zbl 1188.82047 J. Stat. Phys. 138, No. 6, 1124-1144 (2010). MSC: 82C22 60K35 60J60 PDFBibTeX XMLCite \textit{F. Redig} et al., J. Stat. Phys. 138, No. 6, 1124--1144 (2010; Zbl 1188.82047) Full Text: DOI arXiv
Giardinà, Cristian; Kurchan, Jorge; Redig, Frank; Vafayi, Kiamars Duality and hidden symmetries in interacting particle systems. (English) Zbl 1173.82020 J. Stat. Phys. 135, No. 1, 25-55 (2009). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C22 60J05 60J25 PDFBibTeX XMLCite \textit{C. Giardinà} et al., J. Stat. Phys. 135, No. 1, 25--55 (2009; Zbl 1173.82020) Full Text: DOI arXiv
Chazottes, Jean-René; Collet, Pierre; Redig, Frank Coupling, concentration inequalities, and stochastic dynamics. (English) Zbl 1159.81310 J. Math. Phys. 49, No. 12, 125214, 22 p. (2008). MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{J.-R. Chazottes} et al., J. Math. Phys. 49, No. 12, 125214, 22 p. (2008; Zbl 1159.81310) Full Text: DOI arXiv
van Enter, Aernout C. D.; Redig, Frank; Verbitskiy, Evgeny Gibbsian and non-Gibbsian states at Eurandom. (English) Zbl 1214.82039 Stat. Neerl. 62, No. 3, 331-344 (2008). MSC: 82B28 60K40 82B20 PDFBibTeX XMLCite \textit{A. C. D. van Enter} et al., Stat. Neerl. 62, No. 3, 331--344 (2008; Zbl 1214.82039) Full Text: DOI arXiv Link
Boer, Anne Fey-den; Meester, Ronald; Quant, Corrie; Redig, Frank A probabilistic approach to Zhang’s sandpile model. (English) Zbl 1208.82032 Commun. Math. Phys. 280, No. 2, 351-388 (2008). Reviewer: Guy Jumarie (Montréal) MSC: 82C20 60H35 PDFBibTeX XMLCite \textit{A. F. d. Boer} et al., Commun. Math. Phys. 280, No. 2, 351--388 (2008; Zbl 1208.82032) Full Text: DOI arXiv
Járai, Antal A.; Redig, Frank Infinite volume limit of the abelian sandpile model in dimensions \(d \geq 3\). (English) Zbl 1135.60342 Probab. Theory Relat. Fields 141, No. 1-2, 181-212 (2008). MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{A. A. Járai} and \textit{F. Redig}, Probab. Theory Relat. Fields 141, No. 1--2, 181--212 (2008; Zbl 1135.60342) Full Text: DOI arXiv
Fey-den Boer, Anne; Redig, Frank Limiting shapes for deterministic centrally seeded growth models. (English) Zbl 1139.82025 J. Stat. Phys. 130, No. 3, 579-597 (2008). MSC: 82C20 82C41 PDFBibTeX XMLCite \textit{A. Fey-den Boer} and \textit{F. Redig}, J. Stat. Phys. 130, No. 3, 579--597 (2008; Zbl 1139.82025) Full Text: DOI arXiv
Maes, C.; Redig, F.; Saada, E. Freezing transitions in non-Fellerian particle systems. (English) Zbl 1115.82022 J. Stat. Phys. 127, No. 1, 171-189 (2007). MSC: 82C22 82C26 PDFBibTeX XMLCite \textit{C. Maes} et al., J. Stat. Phys. 127, No. 1, 171--189 (2007; Zbl 1115.82022) Full Text: DOI arXiv
Giardinà, Cristian; Kurchan, Jorge; Redig, Frank Duality and exact correlations for a model of heat conduction. (English) Zbl 1137.82332 J. Math. Phys. 48, No. 3, 033301, 15 p. (2007). MSC: 82C70 82C31 PDFBibTeX XMLCite \textit{C. Giardinà} et al., J. Math. Phys. 48, No. 3, 033301, 15 p. (2007; Zbl 1137.82332) Full Text: DOI arXiv Link
Chazottes, J.-R.; Collet, P.; Külske, C.; Redig, F. Concentration inequalities for random fields via coupling. (English) Zbl 1111.60070 Probab. Theory Relat. Fields 137, No. 1-2, 201-225 (2007). MSC: 60K35 82C22 60E15 PDFBibTeX XMLCite \textit{J. R. Chazottes} et al., Probab. Theory Relat. Fields 137, No. 1--2, 201--225 (2007; Zbl 1111.60070) Full Text: DOI arXiv
Redig, Frank Mathematical aspects of the abelian sandpile model. (English) Zbl 1411.60150 Bovier, Anton (ed.) et al., Mathematical statistical physics. École d’Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4–29, 2005. Amsterdam: Elsevier. 657-729 (2006). MSC: 60K35 82-02 82C27 PDFBibTeX XMLCite \textit{F. Redig}, in: Mathematical statistical physics. École d'Été de Physique des Houches session LXXXIII, ESF Summer school École thématique du CNRS, Les Houches, France, July 4--29, 2005. Amsterdam: Elsevier. 657--729 (2006; Zbl 1411.60150) Full Text: DOI
Dubbeldam, J.; Redig, F. Multilayer Markov chains with applications to polymers in shear flow. (English) Zbl 1113.82074 J. Stat. Phys. 125, No. 1, 225-243 (2006). Reviewer: Guy Jumarie (Montréal) MSC: 82D60 60J27 PDFBibTeX XMLCite \textit{J. Dubbeldam} and \textit{F. Redig}, J. Stat. Phys. 125, No. 1, 225--243 (2006; Zbl 1113.82074) Full Text: DOI
van der Hofstad, Remco; Redig, Frank Maximal clusters in non-critical percolation and related models. (English) Zbl 1149.82013 J. Stat. Phys. 122, No. 4, 671-703 (2006). MSC: 82B43 60K35 PDFBibTeX XMLCite \textit{R. van der Hofstad} and \textit{F. Redig}, J. Stat. Phys. 122, No. 4, 671--703 (2006; Zbl 1149.82013) Full Text: DOI arXiv
Maes, C.; Redig, F.; Saada, E. Abelian sandpile models in infinite volume. (English) Zbl 1192.82052 Sankhyā 67, No. 4, 634-661 (2005). MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{C. Maes} et al., Sankhyā 67, No. 4, 634--661 (2005; Zbl 1192.82052)
Chazottes, J.-R.; Redig, F. Occurrence, repetition and matching of patterns in the low-temperature Ising model. (English) Zbl 1149.82309 J. Stat. Phys. 121, No. 3-4, 579-605 (2005). MSC: 82B20 60K35 82B26 82B44 PDFBibTeX XMLCite \textit{J. R. Chazottes} and \textit{F. Redig}, J. Stat. Phys. 121, No. 3--4, 579--605 (2005; Zbl 1149.82309) Full Text: DOI arXiv
Fey-den Boer, A.; Redig, F. Organized versus self-organized criticality in the Abelian sandpile model. (English) Zbl 1093.60069 Markov Process. Relat. Fields 11, No. 3, 425-442 (2005). Reviewer: Bo Markussen (Kopenhagen) MSC: 60K35 60G60 82B27 PDFBibTeX XMLCite \textit{A. Fey-den Boer} and \textit{F. Redig}, Markov Process. Relat. Fields 11, No. 3, 425--442 (2005; Zbl 1093.60069) Full Text: arXiv
Chazottes, J.-R.; Redig, F. Testing the irreversibility of a Gibbsian process via hitting and return times. (English) Zbl 1125.82017 Nonlinearity 18, No. 6, 2477-2489 (2005). MSC: 82C05 37A60 37B20 60G10 62B10 PDFBibTeX XMLCite \textit{J. R. Chazottes} and \textit{F. Redig}, Nonlinearity 18, No. 6, 2477--2489 (2005; Zbl 1125.82017) Full Text: DOI arXiv
Netočný, K.; Redig, F. Large deviations for quantum spin systems. (English) Zbl 1113.82008 J. Stat. Phys. 117, No. 3-4, 521-547 (2004). MSC: 82B10 60F10 PDFBibTeX XMLCite \textit{K. Netočný} and \textit{F. Redig}, J. Stat. Phys. 117, No. 3--4, 521--547 (2004; Zbl 1113.82008) Full Text: DOI arXiv
Dinaburg, E.; Maes, C.; Pirogov, S.; Redig, F.; Rybko, A. The Potts model built on sand. (English) Zbl 1206.82021 J. Stat. Phys. 117, No. 1-2, 179-198 (2004). MSC: 82B20 PDFBibTeX XMLCite \textit{E. Dinaburg} et al., J. Stat. Phys. 117, No. 1--2, 179--198 (2004; Zbl 1206.82021) Full Text: DOI arXiv
Abadi, Miguel; Chazottes, J.-R.; Redig, F.; Verbitskiy, E. Exponential distribution for the occurrence of rare patterns in Gibbsian random fields. (English) Zbl 1054.60101 Commun. Math. Phys. 246, No. 2, 269-294 (2004). MSC: 60K35 60G60 60F05 60F10 82B31 PDFBibTeX XMLCite \textit{M. Abadi} et al., Commun. Math. Phys. 246, No. 2, 269--294 (2004; Zbl 1054.60101) Full Text: DOI arXiv
Külske, Christof; Le Ny, Arnaud; Redig, Frank Relative entropy and variational properties of generalized Gibbsian measures. (English) Zbl 1052.60042 Ann. Probab. 32, No. 2, 1691-1726 (2004). Reviewer: Hironobu Sakagawa (Paris) MSC: 60G60 82B20 PDFBibTeX XMLCite \textit{C. Külske} et al., Ann. Probab. 32, No. 2, 1691--1726 (2004; Zbl 1052.60042) Full Text: DOI arXiv
Maes, C.; Redig, F.; Saada, E. The infinite volume limit of dissipative abelian sandpiles. (English) Zbl 1075.82013 Commun. Math. Phys. 244, No. 2, 395-417 (2004). MSC: 82C22 60K35 82C20 PDFBibTeX XMLCite \textit{C. Maes} et al., Commun. Math. Phys. 244, No. 2, 395--417 (2004; Zbl 1075.82013) Full Text: DOI Link
Fernández, Roberto; Le Ny, Arnaud; Redig, Frank Restoration of Gibbsianness for projected and FKG renormalized measures. (English) Zbl 1055.60043 Bull. Braz. Math. Soc. (N.S.) 34, No. 3, 437-455 (2003). Reviewer: Utkir Rozikov (Tashkent) MSC: 60G60 82B20 82B30 PDFBibTeX XMLCite \textit{R. Fernández} et al., Bull. Braz. Math. Soc. (N.S.) 34, No. 3, 437--455 (2003; Zbl 1055.60043) Full Text: DOI
Fernández, Roberto; Le Ny, Arnaud; Redig, Frank Variational principle and almost quasilocality for renormalized measures. (English) Zbl 1014.82016 J. Stat. Phys. 111, No. 1-2, 465-478 (2003). MSC: 82B28 82B20 PDFBibTeX XMLCite \textit{R. Fernández} et al., J. Stat. Phys. 111, No. 1--2, 465--478 (2003; Zbl 1014.82016) Full Text: DOI arXiv
Redig, F. Gumbel statistics for the longest interval of identical spins in a one-dimensional Gibbs measure. (English) Zbl 1161.82328 Bull. Braz. Math. Soc. (N.S.) 33, No. 3, 427-446 (2002). MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{F. Redig}, Bull. Braz. Math. Soc. (N.S.) 33, No. 3, 427--446 (2002; Zbl 1161.82328) Full Text: DOI Link
Maes, Christian; Redig, Frank; Saada, Ellen The Abelian sandpile model on an infinite tree. (English) Zbl 1013.60075 Ann. Probab. 30, No. 4, 2081-2107 (2002). MSC: 60K35 82C22 PDFBibTeX XMLCite \textit{C. Maes} et al., Ann. Probab. 30, No. 4, 2081--2107 (2002; Zbl 1013.60075) Full Text: DOI arXiv
Le Ny, Arnaud; Redig, Frank Short time conservation of Gibbsianness under local stochastic evolutions. (English) Zbl 1015.60097 J. Stat. Phys. 109, No. 5-6, 1073-1090 (2002). Reviewer: Piotr Garbaczewski (Zielona Gora) MSC: 60K35 60A10 82B44 82C43 PDFBibTeX XMLCite \textit{A. Le Ny} and \textit{F. Redig}, J. Stat. Phys. 109, No. 5--6, 1073--1090 (2002; Zbl 1015.60097) Full Text: DOI
Maes, Christian; Redig, Frank; Verschuere, Michel No current without heat. (English) Zbl 1009.82014 J. Stat. Phys. 106, No. 3-4, 569-587 (2002). Reviewer: M.Mürmann (Heidelberg) MSC: 82C22 60K35 80A20 PDFBibTeX XMLCite \textit{C. Maes} et al., J. Stat. Phys. 106, No. 3--4, 569--587 (2002; Zbl 1009.82014) Full Text: DOI arXiv
van Enter, A. C. D.; Fernández, R.; den Hollander, F.; Redig, F. Possible loss and recovery of Gibbsianness during the stochastic evolution of Gibbs measures. (English) Zbl 0990.82018 Commun. Math. Phys. 226, No. 1, 101-130 (2002). MSC: 82C20 60K35 PDFBibTeX XMLCite \textit{A. C. D. van Enter} et al., Commun. Math. Phys. 226, No. 1, 101--130 (2002; Zbl 0990.82018) Full Text: DOI arXiv
Kuelske, Christof; Ny, Arnaud Le; Redig, Frank Variational principle for generalized Gibbsian measures. arXiv:math/0211250 Preprint, arXiv:math/0211250 [math.PR] (2002). MSC: 60G60 82B20 82B30 BibTeX Cite \textit{C. Kuelske} et al., ``Variational principle for generalized Gibbsian measures'', Preprint, arXiv:math/0211250 [math.PR] (2002) Full Text: arXiv
Maes, Christian; Redig, Frank; Verschuere, Michel From gobal to local fluctuation theorems. (English) Zbl 1001.60103 Mosc. Math. J. 1, No. 3, 421-438 (2001). Reviewer: M.Mürmann (Heidelberg) MSC: 60K35 82C05 82C22 PDFBibTeX XMLCite \textit{C. Maes} et al., Mosc. Math. J. 1, No. 3, 421--438 (2001; Zbl 1001.60103) Full Text: arXiv
Maes, C.; Redig, F.; Verschuere, M. Entropy production for interacting particle systems. (English) Zbl 0987.60100 Markov Process. Relat. Fields 7, No. 1, 119-134 (2001). Reviewer: M.Mürmann (Heidelberg) MSC: 60K35 82C22 82C35 80A20 PDFBibTeX XMLCite \textit{C. Maes} et al., Markov Process. Relat. Fields 7, No. 1, 119--134 (2001; Zbl 0987.60100)
Maes, Christian; Redig, Frank; Van Moffaert, Annelies On the definition of entropy production, via examples. (English) Zbl 0977.82025 J. Math. Phys. 41, No. 3, 1528-1554 (2000). MSC: 82C03 82C05 82C22 PDFBibTeX XMLCite \textit{C. Maes} et al., J. Math. Phys. 41, No. 3, 1528--1554 (2000; Zbl 0977.82025) Full Text: DOI Link
Maes, Christian; Redig, Frank Positivity of entropy production. (English) Zbl 0972.82049 J. Stat. Phys. 101, No. 1-2, 3-15 (2000). MSC: 82C03 PDFBibTeX XMLCite \textit{C. Maes} and \textit{F. Redig}, J. Stat. Phys. 101, No. 1--2, 3--15 (2000; Zbl 0972.82049) Full Text: DOI
Ferrari, Pablo A.; Maes, Christian; Ramos, Laura; Redig, Frank On the hydrodynamic equilibrium of a rod in a lattice fluid. (English) Zbl 0988.82035 J. Phys. A, Math. Gen. 33, No. 26, 4725-4740 (2000). MSC: 82C22 60K35 82C41 PDFBibTeX XMLCite \textit{P. A. Ferrari} et al., J. Phys. A, Math. Gen. 33, No. 26, 4725--4740 (2000; Zbl 0988.82035) Full Text: DOI arXiv
Maes, Christian; Redig, Frank; Takens, Floris; van Moffaert, Annelies; Verbitski, Evgeny Intermittency and weak Gibbs states. (English) Zbl 1005.37007 Nonlinearity 13, No. 5, 1681-1698 (2000). MSC: 37C40 37D35 37D25 82B20 PDFBibTeX XMLCite \textit{C. Maes} et al., Nonlinearity 13, No. 5, 1681--1698 (2000; Zbl 1005.37007) Full Text: DOI Link
Maes, C.; Redig, F.; Saada, E.; Van Moffaert, A. On the thermodynamic limit for a one-dimensional sandpile process. (English) Zbl 1005.82021 Markov Process. Relat. Fields 6, No. 1, 1-21 (2000). MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{C. Maes} et al., Markov Process. Relat. Fields 6, No. 1, 1--21 (2000; Zbl 1005.82021) Full Text: arXiv
Maes, Christian; Redig, Frank; Shlosman, Senya; Van Moffaert, Annelies Percolation, path large deviations and weakly Gibbs states. (English) Zbl 0945.60098 Commun. Math. Phys. 209, No. 2, 517-545 (2000). MSC: 60K40 82B28 PDFBibTeX XMLCite \textit{C. Maes} et al., Commun. Math. Phys. 209, No. 2, 517--545 (2000; Zbl 0945.60098) Full Text: DOI
Maes, Christian; Redig, Frank; van Moffaert, Annelies Potentials for one-dimensional restrictions of Gibbs measures. (English) Zbl 1016.82008 Miracle-Solé, Salvador (ed.) et al., Mathematical results in statistical mechanics. Proceedings, Marseille, France, July 27-31, 1998. Singapore: World Scientific. 485-500 (1999). MSC: 82B20 60K35 60G60 PDFBibTeX XMLCite \textit{C. Maes} et al., in: Mathematical results in statistical mechanics. Proceedings, Marseille, France, July 27--31, 1998. Singapore: World Scientific. 485--500 (1999; Zbl 1016.82008)
Maes, C.; Redig, F.; Van Moffaert, A.; Leuven, K. U. Almost Gibbsian versus weakly Gibbsian measures. (English) Zbl 0963.60094 Stochastic Processes Appl. 79, No. 1, 1-15 (1999). Reviewer: Petr Holický (Praha) MSC: 60K35 60G60 82B20 PDFBibTeX XMLCite \textit{C. Maes} et al., Stochastic Processes Appl. 79, No. 1, 1--15 (1999; Zbl 0963.60094) Full Text: DOI
Naudts, Jan; Redig, Frank; Van Gulck, Stefan Stretched exponential relaxation in the biased random voter model. (English) Zbl 0983.82005 J. Phys. A, Math. Gen. 32, No. 44, 7653-7664 (1999). MSC: 82B41 60K35 60K37 82B44 PDFBibTeX XMLCite \textit{J. Naudts} et al., J. Phys. A, Math. Gen. 32, No. 44, 7653--7664 (1999; Zbl 0983.82005) Full Text: DOI arXiv
Maes, C.; Redig, F.; Van Moffaert, A. The restriction of the Ising model to a layer. (English) Zbl 0964.82008 J. Stat. Phys. 96, No. 1-2, 69-107 (1999). MSC: 82B20 60K35 82B05 PDFBibTeX XMLCite \textit{C. Maes} et al., J. Stat. Phys. 96, No. 1--2, 69--107 (1999; Zbl 0964.82008) Full Text: DOI arXiv
den Hollander, Frank; Naudts, Jan; Redig, Frank Dynamic structure factor in a random diffusion model. (English) Zbl 0839.60086 J. Stat. Phys. 76, No. 5-6, 1267-1285 (1994). MSC: 82C41 60G50 PDFBibTeX XMLCite \textit{F. den Hollander} et al., J. Stat. Phys. 76, No. 5--6, 1267--1285 (1994; Zbl 0839.60086) Full Text: DOI
Redig, F. An exponential upper bound for the survival probability in a dynamic random trap model. (English) Zbl 0827.60019 J. Stat. Phys. 74, No. 3-4, 815-827 (1994). MSC: 60F10 82C41 PDFBibTeX XMLCite \textit{F. Redig}, J. Stat. Phys. 74, No. 3--4, 815--827 (1994; Zbl 0827.60019) Full Text: DOI
den Hollander, F.; Naudts, J.; Redig, F. Long-time tails in a random diffusion model. (English) Zbl 0893.60078 J. Stat. Phys. 69, No. 3-4, 731-762 (1992). MSC: 60K35 60G50 82C41 82C22 PDFBibTeX XMLCite \textit{F. den Hollander} et al., J. Stat. Phys. 69, No. 3--4, 731--762 (1992; Zbl 0893.60078) Full Text: DOI
den Hollander, F.; Naudts, J.; Redig, F. Invariance principle for the stochastic Lorentz lattice gas. (English) Zbl 0925.82148 J. Stat. Phys. 66, No. 5-6, 1583-1598 (1992). MSC: 82C22 60K35 PDFBibTeX XMLCite \textit{F. den Hollander} et al., J. Stat. Phys. 66, No. 5--6, 1583--1598 (1992; Zbl 0925.82148) Full Text: DOI